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DTSTART;TZID=America/New_York:20260423T160000
DTEND;TZID=America/New_York:20260423T170000
DTSTAMP:20260618T003724
CREATED:20251006T173927Z
LAST-MODIFIED:20260423T155101Z
UID:10003806-1776960000-1776963600@cmsa.fas.harvard.edu
SUMMARY:Sixth Annual Yip Lecture | Regina Barzilay\, MIT: Can machine learning methods design drugs?
DESCRIPTION:Sixth Annual Yip Lecture \nDate: April 23\, 2026 \nTime: 4:00–5:00 pm ET \nLocation: Harvard Science Center Hall A & via Zoom Webinar \nSpeaker: Regina Barzilay\, MIT \nTitle: Can ML methods design drugs? \nAbstract: Today\, life sciences are driven by prohibitively expensive wet lab experimentations\, which limit the pace and scope of discovery. This talk focuses on AI algorithms that enable in-silico modeling of biological processes. Specifically\, I will focus on algorithms for molecular and cellular modeling. I will highlight several successful examples where these algorithms have already transformed drug discovery. In the second part of the talk\, I want to focus on problems where current methods fail to deliver as expected\, motivating the need for algorithmic innovations. \nIn-person registration \nWebinar registration \n  \nRegina Barzilay is a School of Engineering Distinguished Professor for AI and Health in the Department of Electrical Engineering and Computer Science (EECS) at MIT. Since 2018\, she has been the AI faculty lead for the MIT Jameel Clinic and a member of MIT CSAIL. \nShe is a member of three national academies\, including the National Academy of Engineering\, the National Academy of Medicine\, and the American Academy of Arts & Sciences. \nShe is also a recipient of various awards\, including a 2017 MacArthur fellowship “Genius Grant.” In 2020\, she was awarded the Squirrel AI Award for Artificial Intelligence for the Benefit of Humanity. More recently\, she has been recognized in the 2025 TIME100 AI List and awarded with the IEEE Frances E. Allen Medal for her development of innovative machine learning algorithms that have significantly advanced human language technology and transformed medical diagnostics and drug discovery. \nShe completed her PhD in Computer Science from Columbia University\, and spent a year as a postdoc at Cornell University. Barzilay received her undergraduate degree from Ben-Gurion University of the Negev\, Israel. \nThe Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/yip-2026/
CATEGORIES:Public Lecture,Special Lectures,Yip Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/yip_2026_final.2.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260422T090000
DTEND;TZID=America/New_York:20260422T103000
DTSTAMP:20260618T003724
CREATED:20260130T191058Z
LAST-MODIFIED:20260430T205709Z
UID:10003887-1776848400-1776853800@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Nicolai Reshetikhin (Tsinghua): Asymptotic representation theory
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: April 22\, 2026 \nTime: 9:00 – 10:30 am ET \nLocation: via Zoom Webinar \nSpeaker: Nicolai Reshetikhin\, Yau Mathematical Sciences Center\, Tsinghua University \nTitle: Asymptotic representation theory \nAbstract: Loosely speaking asymptotic representation theory studies representations of “large” groups or algebras. One of the first results in this direction is the study of Plancherel measures on the symmetric group $S_N$ in the limit $N\to \infty$ by Vershik and Kerov and Logan and Shepp. The first part of the talk will be an overview of results on statistics of irreducible representations in large tensor products. Then we focus on more modern results on statistics of tilting and projective modules in large tensor products and on how some problems in asymptotic representation theory are related to dimer models in statistical mechanics. \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathscilit2026_nr/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mathlit_Reshetikhin.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260415T170000
DTEND;TZID=America/New_York:20260415T180000
DTSTAMP:20260618T003724
CREATED:20250409T160808Z
LAST-MODIFIED:20260423T155210Z
UID:10003725-1776272400-1776276000@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Peter Sarnak: Riemann Hypothesis
DESCRIPTION:  \n \nDate: April 15\, 2026 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall C\, 1 Oxford St.\, Cambridge MA \nSpeaker: Peter Sarnak\, Institute for Advanced Study \nTitle: The Riemann Hypothesis \nAbstract: After reviewing the hypothesis as put forth by Riemann we discuss its generalizations and analogues. We highlight a few of their implications and workarounds\, and probing their truths. \nRead more about the Riemann Hypothesis at the Clay Math website. \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n  \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_41526/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Sarnak_web-ad.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260311T170000
DTEND;TZID=America/New_York:20260311T180000
DTSTAMP:20260618T003724
CREATED:20250409T160708Z
LAST-MODIFIED:20260316T161233Z
UID:10003724-1773248400-1773252000@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Javier Gómez-Serrano: Navier-Stokes Existence or Breakdown
DESCRIPTION:Date: March 11\, 2026 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall C\, 1 Oxford St.\, Cambridge MA & via Zoom Webinar \nSpeaker: Javier Gómez-Serrano\, Brown University \nTitle: Navier-Stokes Existence or Breakdown \nAbstract: The Navier-Stokes equations have been the cornerstone of fluid dynamics for over a century\, accurately describing the motion of viscous fluids such as water and air. However\, despite their fundamental importance to mathematics and physics\, a profound question remains unanswered: do solutions to these equations always exist for all time\, or can they break down and develop singularities (points where the equations lose their validity)? In this Millennium Prize Problems Lecture\, I will explore the current mathematical landscape surrounding the Navier-Stokes and related equations. The talk will discuss the historical context\, the ongoing search for global regularity versus finite-time blowup\, and the latest analytical and computational breakthroughs pushing the boundaries of what we know about fluid behavior. \nRead more about the Navier-Stokes Equation at the Clay Math website. \n  \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_31126/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Gomez-Serrano_web-ad3_crop.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260310T084500
DTEND;TZID=America/New_York:20260310T101500
DTSTAMP:20260618T003724
CREATED:20260127T153158Z
LAST-MODIFIED:20260316T161125Z
UID:10003881-1773132300-1773137700@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Martin Bridson: Profinite rigidity: Chasing finite shadows of infinite groups
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \n \nDate: March 10\, 2026 \nTime: 8:45 – 10:15 am ET \nLocation: Harvard Science Center Hall A\, 1 Oxford Street\, Cambridge MA &  via Zoom Webinar \nSpeaker: Martin Bridson FRS is the Whitehead Professor of Pure Mathematics at Oxford and President of the Clay Mathematics Institute. \nTitle: Profinite rigidity: Chasing finite shadows of infinite groups \nAbstract: There are many situations in geometry or elsewhere in mathematics where it is natural or convenient to explore infinite groups of symmetries via their actions on finite objects. But how hard is it to find these finite manifestations and to what extent does the collection of all such actions determine the infinite group?\nIn this talk\, I will sketch some of the rich history of such problems and then describe some of the significant advances in recent years. \nWe’ll pay particular attention to groups that arise in 3-dimensional geometry and topology. \n  \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathscilit2026_mb/
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_Bridson-poster.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260304T160000
DTEND;TZID=America/New_York:20260304T170000
DTSTAMP:20260618T003724
CREATED:20260108T200326Z
LAST-MODIFIED:20260316T161023Z
UID:10003868-1772640000-1772643600@cmsa.fas.harvard.edu
SUMMARY:2026 Ding Shum Lecture: Sanjeev Arora\, Princeton
DESCRIPTION:2026 Ding Shum Lecture \nDate: March 4\, 2026 \nTime: 4:00 pm \nLocation: Harvard Science Center Hall D & via Zoom Webinar \nSpeaker: Sanjeev Arora\, Princeton \nTitle: How could a Superhuman AI mathematician come about? \n\nAbstract: Can AI systems exceed the capabilities of the human experts who provided their training data? The talk will examine the hypothesis of AI self‑improvement\, involving mechanisms such as synthetic data generation\, reinforcement learning\, and tool‑augmented reasoning with formal verification loops. \nI will also present recent work at Princeton\, including the Gödel Prover V2 for Lean‑based theorem proving and a new inference pipeline that achieved state‑of‑the‑art performance (at the time of evaluation) on IMO‑ProofBench (Advanced) at moderate inference costs ($20–$30 per problem). These will illustrate how AI systems are sometimes able to escape “cognitive wells”—local optima in a model’s reasoning capabilities. While providing evidence for the feasibility of self‑improvement\, they also highlight important hurdles and open questions. \n\n  \n\n \nSanjeev Arora is Charles C. Fitzmorris Professor of Computer Science and Director of Princeton Language and Intelligence\, a unit devoted to research and applications of large AI models. He got his Phd from UC Berkeley in 1994 and has been a faculty member at Princeton since then. He has been awarded the ACM Prize in Computing (2011)\, Fulkerson Prize in Discrete Mathematics (2012)\, Packard Fellowship\, Sloan Fellowship\, and the ACM Doctoral Dissertation Prize. He was a plenary speaker at the International Congress of Mathematicians in 2018 and is a member of the National Academy of Science and American Academy of Arts and Sciences. \n\n\n\n\n\nThis event is made possible by the generous funding of Ding Lei and Harry Shum.\n\n\n 
URL:https://cmsa.fas.harvard.edu/event/2026_dingshum/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Ding Shum Lecture,Event,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Ding-Shum-2026_hall-d.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260204T170000
DTEND;TZID=America/New_York:20260204T180000
DTSTAMP:20260618T003724
CREATED:20250409T160357Z
LAST-MODIFIED:20260210T204515Z
UID:10003723-1770224400-1770228000@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Barry Mazur: About the Birch and Swinnerton–Dyer Conjecture
DESCRIPTION:Date: February 4\, 2026 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall C\, 1 Oxford St.\, Cambridge MA \nSpeaker: Barry Mazur\, Harvard University \nTitle: About the Birch and Swinnerton–Dyer Conjecture \nAbstract: \nIn the 1950s Bryan Birch and Peter Swinnerton–Dyer made computations that suggested a striking connection between a basic global invariant of an elliptic curve E over the field of rational numbers (namely\, the rank of its group of rational points) and certain asymptotics of its local arithmetic invariants (i.e.\, the number of its rational points over finite fields). \nThis initial observation has evolved into their conjecture. My lecture will be an introduction to the general ideas behind its ever-expanding development. \nRead more about the Birch and Swinnerton–Dyer Conjecture at the Clay Math website. \n  \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \nBarry Mazur joined the Harvard University faculty in 1959 as a Junior Fellow in the Society of Fellows and advanced through the ranks to become the Gerhard Gade University Professor of Mathematics\, a position he has held since 1998. During his tenure at Harvard\, he has mentored 60 doctoral students and served as a pivotal figure in bridging topology and number theory\, notably through his classification of the possible torsion subgroups of elliptic curves over the rational numbers (Mazur’s torsion theorem)\, which identifies exactly 15 possible finite groups. This theorem\, detailed in his 1977 paper “Modular curves and the Eisenstein ideal\,” provided crucial insights into the Taniyama-Shimura conjecture and laid groundwork for Andrew Wiles’s 1994 proof of Fermat’s Last Theorem. \nHis broader research includes seminal works on étale homotopy theory (co-authored with Michael Artin in 1969)\, the arithmetic moduli of elliptic curves (with Nicholas M. Katz in 1985)\, and the Iwasawa main conjecture (proved with Andrew Wiles in 1984)\, as well as advancements in p-adic L-functions and the formulation of the Fontaine-Mazur conjecture on Galois representations. Mazur’s influence extends to public communication of mathematics; he has authored books like Imagining Numbers (2003)\, exploring historical perspectives on complex numbers. \nAmong his numerous honors\, Mazur received the Cole Prize in Number Theory from the American Mathematical Society in 1982\, the Chauvenet Prize in 1994 for expository writing\, the Leroy P. Steele Prize for Lifetime Achievement in 2000\, and election to the National Academy of Sciences in 1982. In 2011 (presented in 2013)\, he was awarded the National Medal of Science by President Barack Obama for his pioneering work in these fields.Most recently\, in 2022\, he received the Chern Medal from the International Mathematical Union\, recognizing his profound discoveries and mentorship. \n  \n\n                   \n\nMillennium Prize Problems Lecture Series \n 
URL:https://cmsa.fas.harvard.edu/event/clay_2426/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mazur_AD.hallc_.web_.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251203T170000
DTEND;TZID=America/New_York:20251203T180000
DTSTAMP:20260618T003724
CREATED:20250409T160258Z
LAST-MODIFIED:20251205T171720Z
UID:10003659-1764781200-1764784800@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Madhu Sudan: P vs NP Problem
DESCRIPTION:Pamphlet (pdf) \nSlides (pdf) \nDate: December 3\, 2025 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall D\, 1 Oxford St.\, Cambridge MA \nSpeaker: Madhu Sudan\, Harvard University \nTitle: The P vs. NP problem: An Existential Question for Mathematics \nAt the beginning of the twentieth century\, in response to questions raised by Hilbert\, illustrious mathematicians such as Godel\, Church and Turing formalized the notion of theorems and proofs. Proofs were automatically verifiable while theorems are logical propositions for which proofs exist. The formal definition of a computer\, a definition that had strong influence on the later development of the technology\, was a by-product of the effort to define the phrase “automatically verifiable”! \nWhile the resulting theory had major implications already\, one notion was however missing in the early definitions. Proofs were meant to be easily verifiable\, while determining the truth of a proposition/conjecture (arguably a core task of mathematics) was not necessarily so. But what is “easiness” and how is it to be defined? While this was already hinted at by Godel in the 50s\, the notion was finally formalized in seminal works of Cook\, Levin and Karp in the early 70s. Central notions here included the adoption of the notion that polynomial time algorithms are (the only) tractable ones\, and the realization that algorithms seeking to remove the existential quantifier in the definition of a “theorem” lead naively to exponential time algorithms. But are there no sophisticated algorithms to search for proofs? This is the profound “Is P = NP?” question. \nIn this talk we will introduce the question and explain implications of resolutions of this question to the modern computing infrastructure\, to mathematics and other sciences. We will briefly describe the state of progress on this question and recent progress on weaker forms of this question. Finally we will also aim to connect this question\, and why one may believe that P != NP (proof search can not be automated) even in the face of accumulating evidence on the ability of computers to solve more and more complex mathematical problems\, which seem to implement brute force search in less than polynomial time. \n  \nRead more about the P vs NP Problem at the Clay Math website. \n  \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_12325/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Sudan_web-ad_CROP-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251112T170000
DTEND;TZID=America/New_York:20251112T180000
DTSTAMP:20260618T003725
CREATED:20250311T134920Z
LAST-MODIFIED:20251201T154039Z
UID:10003658-1762966800-1762970400@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Pierre Deligne: What is the Hodge conjecture?
DESCRIPTION:  \n \nDate: November 12\, 2025 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall D\, 1 Oxford St.\, Cambridge MA \nSpeaker: Pierre Deligne\, Institute for Advanced Study \nTitle: What is the Hodge conjecture? \nAbstract: The Hodge conjecture is about projective non-singular complex algebraic varieties. It characterizes the cohomology classes coming from algebraic cycles. I will explain these terms\, tell why the conjecture is so hard to attack\, and why we care. \n  \nSeries Pamphlet (pdf) \nRead more about the Hodge Conjecture at the Clay Math website. \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_111225/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Deligne_web-ad-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251021T163000
DTEND;TZID=America/New_York:20251021T173000
DTSTAMP:20260618T003725
CREATED:20250912T180816Z
LAST-MODIFIED:20251030T152043Z
UID:10003753-1761064200-1761067800@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott | Dennis Gaitsgory\, MPIM | Function-theoretic implications of geometric Langlands
DESCRIPTION:Two talks on Function-theoretic implications of geometric Langlands\nDates: October 20 & 21\, 2025 \nTime: 4:30–5:30 pm \nLocation: Science Center Lecture Hall A and via Webinar \nSpeaker: Dennis Gaitsgory\, Max Planck Institute for Mathematics \nAbstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms of Langlands parameters. In these lectures\, we will derive these description and explain how far we can go with it in order to deduce some expected properties of automorphic functions\, e.g.\, Ramanujan and Arthur multiplicity conjectures. This is joint work with Vincent Lafforgue and Sam Raskin. \n  \nLecture 1: Monday\, October 20\, 2025\nFunction-theoretic implications of geometric Langlands: From geometric to classical Langlands \n \n  \nLecture 2: Tuesday\, October 21\, 2025\nFunction-theoretic implications of geometric Langlands: Analytic properties of automorphic functions as seen from algebraic geometry \n \n\nHarvard Mathematics Professor Raoul Bott (1923 – 2005)\, was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem\, the Morse–Bott functions which he used in this context\, and the Borel–Bott–Weil theorem.
URL:https://cmsa.fas.harvard.edu/event/mathscibott_2025-2/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Bott-Lecture_2025-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251020T163000
DTEND;TZID=America/New_York:20251020T173000
DTSTAMP:20260618T003725
CREATED:20250912T180641Z
LAST-MODIFIED:20251030T151928Z
UID:10003752-1760977800-1760981400@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott | Dennis Gaitsgory\, MPIM | Function-theoretic implications of geometric Langlands
DESCRIPTION:Two talks on Function-theoretic implications of geometric Langlands\nDates: October 20 & 21\, 2025 \nTime: 4:30–5:30 pm \nLocation: Science Center Lecture Hall A and via Webinar \n  \nSpeaker: Dennis Gaitsgory\, Max Planck Institute for Mathematics \nAbstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms of Langlands parameters. In these lectures\, we will derive these description and explain how far we can go with it in order to deduce some expected properties of automorphic functions\, e.g.\, Ramanujan and Arthur multiplicity conjectures. This is joint work with Vincent Lafforgue and Sam Raskin. \n  \nLecture 1: Monday\, October 20\, 2025\nFrom geometric to classical Langlands \n \n  \nLecture 2: Tuesday\, October 21\, 2025\nAnalytic properties of automorphic functions as seen from algebraic geometry \n \n  \n\nHarvard Mathematics Professor Raoul Bott (1923 – 2005)\, was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem\, the Morse–Bott functions which he used in this context\, and the Borel–Bott–Weil theorem.
URL:https://cmsa.fas.harvard.edu/event/mathscibott_2025/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Bott-Lecture_2025.v2-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251015T170000
DTEND;TZID=America/New_York:20251015T180000
DTSTAMP:20260618T003725
CREATED:20250311T134919Z
LAST-MODIFIED:20251021T134849Z
UID:10003657-1760547600-1760551200@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Sourav Chatterjee: Yang-Mills and the foundations of quantum field theory
DESCRIPTION:Millennium Prize Problems Lecture  \nDate: October 15\, 2025 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall D\, 1 Oxford St.\, Cambridge MA \nSpeaker: Sourav Chatterjee\, Stanford University \nTitle: Yang-Mills and the foundations of quantum field theory \nAbstract: Yang-Mills theories are the building blocks of the Standard Model of quantum mechanics\, which is the best available model for our universe at the quantum scale. Yet\, these theories do not have a rigorous mathematical foundation. Physical calculations are based on perturbation theory\, but there are various phenomena that are believed to be out of the reach of perturbative arguments. Building a mathematical foundation is\, therefore\, important even from the physics point of view. A program with this objective\, known as “constructive field theory”\, was initiated in the 1960s. In spite of many successes\, the program has not reached its original goal. Completing this program is the Clay Millennium Prize problem of Yang-Mills existence and mass gap. I will give a general introduction to the main questions\, and an overview of exciting recent progress that has rejuvenated the quest for a solution in the last ten years. \nRead more about the Yang-Mills Existence and Mass Gap at the Clay Math website. \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_101425/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Chatterjee_web_ad.2-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250917T170000
DTEND;TZID=America/New_York:20250917T180000
DTSTAMP:20260618T003725
CREATED:20250311T134916Z
LAST-MODIFIED:20251010T115024Z
UID:10003656-1758128400-1758132000@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Michael Freedman: The Poincaré Conjecture and Mathematical Discovery  
DESCRIPTION:Millennium Prize Problems Lecture\nDate: September 17\, 2025 \nLocation: Harvard Science Center Hall D & via Zoom Webinar \nTime: 5:00–6:00 pm \nSpeaker: Michael Freedman\, Harvard CMSA and Logical Intelligence  \nTitle: The Poincaré Conjecture and Mathematical Discovery   \nAbstract: The AI age requires us to re-examine what mathematics is about. The Seven Millenium Problems provide an ideal lens for doing so. Five of the seven are core mathematical questions\, two are meta-mathematical – asking about the scope of mathematics. The Poincare conjecture represents one of the core subjects\, manifold topology. I’ll explain what it is about\, its broader context\, and why people cared so much about finding a solution\, which ultimately arrived through the work of R. Hamilton and G. Perelman. Although stated in manifold topology\, the proof requires vast developments in the theory of parabolic partial differential equations\, some of which I will sketch. Like most powerful techniques\, the methods survive their original objectives and are now deployed widely in both three- and four-dimensional manifold topology.  \n  \nRead more about the Poincaré Conjecture at the Clay Math website. \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_91725/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Freedman_web_ad.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250916T170000
DTEND;TZID=America/New_York:20250916T180000
DTSTAMP:20260618T003725
CREATED:20250807T142820Z
LAST-MODIFIED:20250922T134159Z
UID:10003760-1758042000-1758045600@cmsa.fas.harvard.edu
SUMMARY:Geometry of Machine Learning Special Lecture: Yann LeCun
DESCRIPTION:Geometry of Machine Learning Special Lecture: Yann LeCun \nTitle: Self-Supervised Learning\, JEPA\, World Models\, and the future of AI \nDate: Tuesday\, Sep. 16\, 2025 \nTime: 5:00 pm ET \nLocation: Harvard Science Center\, Hall C & via Zoom Webinar
URL:https://cmsa.fas.harvard.edu/event/lecun91625/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/YannLeCun_GML-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250417T160000
DTEND;TZID=America/New_York:20250417T170000
DTSTAMP:20260618T003725
CREATED:20250108T143958Z
LAST-MODIFIED:20250422T182732Z
UID:10003655-1744905600-1744909200@cmsa.fas.harvard.edu
SUMMARY:Fifth Annual Yip Lecture | Scott Aaronson (UT Austin): How Much Math Is Knowable?
DESCRIPTION:Speaker: Scott Aaronson\, Department of Computer Science\, University of Texas\, Austin \nScott Aaronson is the founding director at the Quantum Information Center at the University of Texas at Austin. \nDate: April 17\, 2025 \nTime: 4:00-5:00 pm ET  (Reception following in the Math Common Room) \nLocation: Harvard Science Center Hall A \n  \nTitle: How Much Math Is Knowable? \nAbstract: Theoretical computer science has over the years sought more and more refined answers to the question of which mathematical truths are knowable by finite beings like ourselves\, bounded in time and space and subject to physical laws.  I’ll tell a story that starts with Gödel’s Incompleteness Theorem and Turing’s discovery of uncomputability.  I’ll then introduce the spectacular Busy Beaver function\, which grows faster than any computable function.  Work by me and Yedidia\, along with recent improvements by O’Rear and Riebel\, has shown that the value of BB(745) is independent of the axioms of set theory; on the other end\, an international collaboration proved last year that BB(5) = 47\,176\,870.  I’ll speculate on whether BB(6) will ever be known\, by us or our AI successors.  I’ll next discuss the P!=NP conjecture and what it does and doesn’t mean for the limits of machine intelligence.  As my own specialty is quantum computing\, I’ll summarize what we know about how scalable quantum computers\, assuming we get them\, will expand the boundary of what’s mathematically knowable.  I’ll end by talking about hypothetical models even beyond quantum computers\, which might expand the boundary of knowability still further\, if one is able (for example) to jump into a black hole\, create a closed timelike curve\, or project oneself onto the holographic boundary of the universe. \n  \nThe Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. \n  \n\nThe previous Yip Lecture featured Josh Tenenbaum (MIT) who spoke on How to grow a mind from a brain: From guessing and betting to thinking and talking \n 
URL:https://cmsa.fas.harvard.edu/event/yip-2025/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Public Lecture,Special Lectures,Yip Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Yip_2025.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250408T090000
DTEND;TZID=America/New_York:20250408T103000
DTSTAMP:20260618T003725
CREATED:20250331T204029Z
LAST-MODIFIED:20250409T143732Z
UID:10003731-1744102800-1744108200@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Scott Sheffield (MIT): Yang-Mills theory and random surfaces
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: April 8\, 2025 \nTime: 9:00 – 10:30 am ET \nLocation: CMSA G10\, 20 Garden Street\, Cambridge MA & via Zoom \nSpeaker: Scott Sheffield (MIT) \nTitle: Yang-Mills theory and random surfaces \nAbstract: The Clay Institute famously offered one million dollars to anyone who could mathematically construct and understand a certain continuum version of “Yang-Mills gauge theory.” This theory is the basis of the standard model of physics\, and the heart of the problem is to understand the so-called “Wilson loop expectations.” Following recent work with Sky Cao and Minjae Park\, I will explain how the “Wilson loop expectations” in a lattice Yang-Mills model are equivalent to “insertion costs” of loops in a related random-closed-surface-ensemble model. In a sense\, these results allow us to convert one famously hard problem into another presumably hard problem. But the new problem is all about random surfaces and random permutations\, and it has a lot of relationships with and similarities to other problems we understand (think domino tilings\, random planar maps\, Young tableaux and symmetric group representation theory\, and the Weingarten calculus). It gives us some intuition for *why* certain things should be true like the “area law” or “exponential correlation decay” (what physicists call “quark confinement” or “mass gap”) even if we can’t prove all of them yet. \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars.
URL:https://cmsa.fas.harvard.edu/event/mathscilit2025_ss/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mathlit_Sheffield_11x17-2.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20250213T160000
DTEND;TZID=America/New_York:20250213T170000
DTSTAMP:20260618T003725
CREATED:20240708T151711Z
LAST-MODIFIED:20250328T150436Z
UID:10003396-1739462400-1739466000@cmsa.fas.harvard.edu
SUMMARY:2025 Ding Shum Lecture: Irit Dinur\, IAS: Expanders from local to global
DESCRIPTION:  \n \nOn February 13\, 2025 the CMSA hosted the sixth annual Ding Shum Lecture\, given by Irit Dinur\, Institute for Advanced Study. \nLocation: Harvard Science Center  Hall A & via Zoom Webinar \nSpeaker: Irit Dinur\, Institute for Advanced Study \n\n\n\nTitle: Expanders from local to global \nAbstract: Imagine a network—like a social network\, a transportation system\, or even a biological system—where every part of the network is robustly connected to the rest. Expander graphs are the mathematical idealization of such networks. They are structures where any small group of points (nodes) has many connections to the rest of the graph\, ensuring that no part is isolated and information (or influence) spreads efficiently throughout.\nWe will begin by surveying expander graphs\, their discovery and construction\, and some fascinating applications such as error-correcting codes\, pseudorandomness\, and probabilistically checkable proofs (PCPs)\, highlighting their role as a foundation for many breakthroughs in theoretical computer science. Then\, we will shift focus to an exciting new kind of expanders called high dimensional expanders (HDXs). While expanders are well-understood and widely applied\, HDXs remain enigmatic\, with potential that we are only starting to uncover. We will talk about a fascinating local to global feature that HDXs have\, and some applications. \n\n \n\n\n\n\nThis event is made possible by the generous funding of Ding Lei and Harry Shum.\n\n\n 
URL:https://cmsa.fas.harvard.edu/event/2025_dingshum/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Ding Shum Lecture,Event,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DIngShum_21325.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20241017T160000
DTEND;TZID=America/New_York:20241017T170000
DTSTAMP:20260618T003725
CREATED:20240927T150813Z
LAST-MODIFIED:20250409T192551Z
UID:10002916-1729180800-1729184400@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
DESCRIPTION:Speaker: Andrew Neitzke\, Yale University \nLocation: Harvard University Science Center Hall D & via Zoom webinar \nDates: October 16 & 17\, 2024 \nTime: 4:00 pm \n  \n \nWednesday\, Oct. 16\, 2024 \nTitle: Abelianization in analysis of ODEs \nAbstract: I will describe the exact WKB method for asymptotic analysis of families of ODEs in one variable\, and its interpretation as a kind of abelianization procedure\, which replaces GL(N)-connections over a Riemann surface by GL(1)-connections over an N-fold branched cover. This abelianization procedure connects exact WKB to various subjects in geometry (cluster algebras\, moduli of Higgs bundles\, enumerative geometry). One application is a conjectural description of Hitchin’s hyperkahler metric on the moduli of Higgs bundles; I will review some recent progress on these conjectures. \n  \n \nThursday\, Oct. 17\, 2024 \nTitle: Abelianization in quantum topology \nAbstract: I will describe new applications of abelianization to various related subjects: perturbative Chern-Simons invariants\, skein algebras\, and conformal blocks. The aim is to explain how abelianization gives a unifying perspective on constructions familiar in each of these subjects (e.g. dilogarithmic formulas for Chern-Simons invariants\, vertex models for computing quantum invariants of links\, and iterated-fusion constructions of conformal blocks for the Virasoro algebra)\, and also suggests various extensions\, which are just beginning to be explored. \n\n  \nRaoul Bott (9/24/1923 – 12/20/2005) is known for the Bott periodicity theorem\, the Morse–Bott functions\, and the Borel–Bott–Weil theorem. 
URL:https://cmsa.fas.harvard.edu/event/mathscibott_1024-2/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Bott-Lecture_Neitzke_11x17.1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20241016T160000
DTEND;TZID=America/New_York:20241016T170000
DTSTAMP:20260618T003725
CREATED:20240927T150643Z
LAST-MODIFIED:20250328T150459Z
UID:10002915-1729094400-1729098000@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
DESCRIPTION:  \nSpeaker: Andrew Neitzke\, Yale University \nLocation: Harvard University Science Center Hall D & via Zoom webinar \nDates: October 16 & 17\, 2024 \nTime: 4:00 pm \n  \n \nWednesday\, Oct. 16\, 2024 \nTitle: Abelianization in analysis of ODEs \nAbstract: I will describe the exact WKB method for asymptotic analysis of families of ODEs in one variable\, and its interpretation as a kind of abelianization procedure\, which replaces GL(N)-connections over a Riemann surface by GL(1)-connections over an N-fold branched cover. This abelianization procedure connects exact WKB to various subjects in geometry (cluster algebras\, moduli of Higgs bundles\, enumerative geometry). One application is a conjectural description of Hitchin’s hyperkahler metric on the moduli of Higgs bundles; I will review some recent progress on these conjectures. \n  \n \nThursday\, Oct. 17\, 2024 \nTitle: Abelianization in quantum topology \nAbstract: I will describe new applications of abelianization to various related subjects: perturbative Chern-Simons invariants\, skein algebras\, and conformal blocks. The aim is to explain how abelianization gives a unifying perspective on constructions familiar in each of these subjects (e.g. dilogarithmic formulas for Chern-Simons invariants\, vertex models for computing quantum invariants of links\, and iterated-fusion constructions of conformal blocks for the Virasoro algebra)\, and also suggests various extensions\, which are just beginning to be explored. \n  \n\nRaoul Bott (9/24/1923 – 12/20/2005) is known for the Bott periodicity theorem\, the Morse–Bott functions\, and the Borel–Bott–Weil theorem. 
URL:https://cmsa.fas.harvard.edu/event/mathscibott_1024/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Bott-Lecture_Neitzke_11x17.1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240930T153000
DTEND;TZID=America/New_York:20240930T173000
DTSTAMP:20260618T003725
CREATED:20240912T152420Z
LAST-MODIFIED:20250328T150047Z
UID:10003504-1727710200-1727717400@cmsa.fas.harvard.edu
SUMMARY:Machine Learning in Science Education Panel Discussion
DESCRIPTION:Machine Learning in Science Education Panel Discussion\nMonday\, Sep. 30\, 2024\n3:30-5:30 pm ET \nMachine Learning is rapidly influencing many spheres of human activity. As part of the CMSA Mathematics and Machine Learning Program\, this panel discussion will explore current and future uses of Machine Learning in science education. Panelists will make brief presentations\, which will be followed by discussion and audience questions. \nGregory Kestin (Harvard University)\n AI-Supported Activities: Design Principles and Impact on Student Learning \nLogan McCarty (Harvard University)\nSurveying the Landscape: Teaching and Learning with AI \nAlexis Ross (Massachusetts Institute of Technology)\nAdaptive Teaching towards Misconceptions with LLMs \nIlia Sucholutsky (New York University)\n Why should machines have human-like  representations? Towards  student-centric AI tutors \n  \nOrganizers: \n\nDan Freed (Harvard University and CMSA)\nMichael Douglas (CMSA)
URL:https://cmsa.fas.harvard.edu/event/teachingmachinelearning_93024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,MML Meeting,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/ML_9.30.24_Machine-Learning-in-Science-Education.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240918T090000
DTEND;TZID=America/New_York:20240918T103000
DTSTAMP:20260618T003725
CREATED:20240904T181255Z
LAST-MODIFIED:20250328T150446Z
UID:10003442-1726650000-1726655400@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Marc Lackenby
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \nDate: Wednesday\, September 18\, 2024 \nTime: 9:00 – 10:30 am ET \nLocation: Via Zoom Webinar \nSpeaker: Marc Lackenby\, University of Oxford \nTitle: The complexity of knots \nAbstract: In his final paper in 1954\, Alan Turing wrote `No systematic method is yet known by which one can tell whether two knots are the same.’ Within the next 20 years\, Wolfgang Haken and Geoffrey Hemion had discovered such a method. However\, the computational complexity of this problem remains unknown. In my talk\, I will give a survey on this area\, that draws on the work of many low-dimensional topologists and geometers. Unfortunately\, the current upper bounds on the computational complexity of the knot equivalence problem remain quite poor. However\, there are some recent results indicating that\, perhaps\, knots are more tractable than they first seem. Specifically\, I will explain a theorem that provides\, for each knot type K\, a polynomial p_K with the property that any two diagrams of K with n_1 and n_2 crossings differ by at most p_K(n_1) + p_K(n_2) Reidemeister moves. \n\nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars.
URL:https://cmsa.fas.harvard.edu/event/mathscilit2024_ml/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Mathlit_Lackenby_8.5x11.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240328T163000
DTEND;TZID=America/New_York:20240328T173000
DTSTAMP:20260618T003725
CREATED:20240103T175709Z
LAST-MODIFIED:20250409T192237Z
UID:10001105-1711643400-1711647000@cmsa.fas.harvard.edu
SUMMARY:2024 Ding Shum Lecture: Yann LeCun: Objective-Driven AI: Towards AI systems that can learn\, remember\, reason\, and plan
DESCRIPTION:LECTURE SLIDES (pdf) \nOn March 28\, 2024\, the CMSA will host the fifth annual Ding Shum Lecture\, given by Yann LeCun. \nTime: 4:30–5:30 pm ET \nSpeaker: Yann Lecun\, New York University & META \nLocation: Harvard Science Center  Hall A & via Zoom Webinar \nTitle: Objective-Driven AI: Towards AI systems that can learn\, remember\, reason\, and plan \n\n\nAbstract:  \nHow could machines learn as efficiently as humans and animals? \nHow could machines learn how the world works and acquire common sense? \nHow could machines learn to reason and plan? \nCurrent AI architectures\, such as Auto-Regressive Large Language Models fall short. I will propose a modular cognitive architecture that may constitute a path towards answering these questions. The centerpiece of the architecture is a predictive world model that allows the system to predict the consequences of its actions and to plan a sequence of actions that optimize a set of objectives. The objectives include guardrails that guarantee the system’s controllability and safety. The world model employs a Hierarchical Joint Embedding Predictive Architecture (H-JEPA) trained with self-supervised learning. The JEPA learns abstract representations of the percepts that are simultaneously maximally informative and maximally predictable. The corresponding working paper is available here: https://openreview.net/forum?id=BZ5a1r-kVsf \n\n\n\n\n\n\n\n\n\n\nThis event is made possible by the generous funding of Ding Lei and Harry Shum. \n 
URL:https://cmsa.fas.harvard.edu/event/2024_dingshum/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Ding Shum Lecture,Event,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Ding-Shum-2024_8.5x11.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240229T160000
DTEND;TZID=America/New_York:20240229T170000
DTSTAMP:20260618T003725
CREATED:20240103T185919Z
LAST-MODIFIED:20250409T192246Z
UID:10001107-1709222400-1709226000@cmsa.fas.harvard.edu
SUMMARY:Fourth Annual Yip Lecture | Josh Tenenbaum | How to grow a mind from a brain: From guessing and betting to thinking and talking
DESCRIPTION:Josh Tenenbaum gave the Fourth Annual Yip Lecture on February 29\, 2024. \nTitle: How to grow a mind from a brain: From guessing and betting to thinking and talking\nTime: 4:00-5:00 pm ET \nLocation: Harvard Science Center \nThe Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. \n \n\nThe previous Yip Lecture featured Andrew Strominger (Harvard)\, who spoke on Black Holes.
URL:https://cmsa.fas.harvard.edu/event/yip-2024/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Public Lecture,Special Lectures,Yip Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Tenenbaum-1_MIT-768x513-1.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240220T160000
DTEND;TZID=America/New_York:20240220T173000
DTSTAMP:20260618T003725
CREATED:20240301T093539Z
LAST-MODIFIED:20250328T150527Z
UID:10002892-1708444800-1708450200@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott: Maggie Miller: Fibered ribbon knots vs. major 4D conjectures
DESCRIPTION:Fibered ribbon knots vs. major 4D conjectures \nLocation: Harvard University Science Center Hall A & via Zoom webinar \nDates: Feb 20 & 22\, 2024 \nTime: 4:00-5:30 pm \nMaggie Miller is an assistant professor in the mathematics department at the University of Texas at Austin and a Clay Research Fellow. \nThis is the fourth annual Math Science Lecture Series held in Honor of Raoul Bott. \nTalk topic:  Fibered ribbon knots vs. major 4D conjectures\n  \n \nFeb. 20\, 2024 \nTitle: Fibered ribbon knots and the Poincaré conjecture \nAbstract: A knot is “fibered” if its complement in S^3 is the total space of a bundle over the circle\, and ribbon if it bounds a smooth disk into B^4 with no local maxima with respect to radial height. A theorem of Casson-Gordon from 1983 implies that if a fibered ribbon knot does not bound any fibered disk in B^4\, then the smooth 4D Poincaré conjecture is false. I’ll show that unfortunately (?) many ribbon disks bounded by fibered knots are fibered\, giving some criteria for extending fibrations and discuss how one might search for non-fibered examples. \n  \n \nFeb. 22\, 2024 \nTitle: Fibered knots and the slice-ribbon conjecture \nAbstract: The slice-ribbon conjecture (Fox\, 1962) posits that if a knot bounds any smooth disk into B^4\, it also bounds a ribbon disk. The previously discussed work of Casson-Gordon yields an obstruction to many fibered knots being ribbon\, yielding many interesting potential counterexamples to this conjecture — if any happy to bound a non-ribbon disk. In 2022\, Dai-Kong-Mallick-Park-Stoffregen showed that unfortunately( ?) many of these knots don’t bound a smooth disk into B^4 and thus can’t disprove the conjecture. I’ll show a simple alternate proof that a certain interesting knot (the (2\,1)-cable of the figure eight) isn’t slice and discuss remaining open questions. This talk is joint with Paolo Aceto\, Nickolas Castro\, JungHwan Park\, and Andras Stipsicz. \n  \nTalk Chair: Cliff Taubes (Harvard Mathematics) \nModerator: Freid Tong (Harvard CMSA) \n\nRaoul Bott (9/24/1923 – 12/20/2005) is known for the Bott periodicity theorem\, the Morse–Bott functions\, and the Borel–Bott–Weil theorem.
URL:https://cmsa.fas.harvard.edu/event/mathscibott_2024/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Math Science Lectures in Honor of Raoul Bott,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Bott-Lecture_Maggie-Miller_letter_web.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230321T170000
DTEND;TZID=America/New_York:20230321T180000
DTSTAMP:20260618T003725
CREATED:20230705T053409Z
LAST-MODIFIED:20250409T192224Z
UID:10000065-1679418000-1679421600@cmsa.fas.harvard.edu
SUMMARY:2023 Ding Shum Lecture
DESCRIPTION:On March 21\, 2023\, the CMSA hosted the fourth annual Ding Shum Lecture\, given by Cynthia Dwork (Harvard SEAS and Microsoft Research). \n\n\nTime: 5:00-6:00 pm ET \nLocation: Harvard University Science Center Hall D \nThis event was be held in person and via Zoom webinar. \n\n  \n\nTitle: Measuring Our Chances: Risk Prediction in This World and its Betters \nAbstract: Prediction algorithms score individuals\, assigning a number between zero and one that is often interpreted as an individual probability: a 0.7 “chance” that this child is in danger in the home; an 80% “probability” that this woman will succeed if hired; a 1/3 “likelihood” that they will graduate within 4 years of admission. But what do words like “chance\,” “probability\,” and “likelihood” actually mean for a non-repeatable activity like going to college? This is a deep and unresolved problem in the philosophy of probability. Without a compelling mathematical definition we cannot specify what an (imagined) perfect risk prediction algorithm should produce\, nor even how an existing algorithm should be evaluated. Undaunted\, AI and machine learned algorithms churn these numbers out in droves\, sometimes with life-altering consequences. \nAn explosion of recent research deploys insights from the theory of pseudo-random numbers – sequences of 0’s and 1’s that “look random” but in fact have structure – to yield a tantalizing answer to the evaluation problem\, together with a supporting algorithmic framework with roots in the theory of algorithmic fairness. \nWe can aim even higher. Both (1) our qualifications\, health\, and skills\, which form the inputs to a prediction algorithm\, and (2) our chances of future success\, which are the desired outputs from the ideal risk prediction algorithm\, are products of our interactions with the real world. But the real world is systematically inequitable. How\, and when\, can we hope to approximate probabilities not in this world\, but in a better world\, one for which\, unfortunately\, we have no data at all? Surprisingly\, this novel question is inextricably bound with the very existence of nondeterminism. \n\n\nProfessor Cynthia Dwork is Gordon McKay Professor of Computer Science at the Harvard University John A. Paulson School of Engineering and Applied Sciences\, Affiliated Faculty at Harvard Law School\, and Distinguished Scientist at Microsoft. She uses theoretical computer science to place societal problems on a firm mathematical foundation. \nHer recent awards and honors include the 2020 ACM SIGACT and IEEE TCMF Knuth Prize\, the 2020 IEEE Hamming Medal\, and the 2017 Gödel Prize. \n\n\n\n\nTalk Chair: Horng-Tzer Yau (Harvard Mathematics & CMSA)\n\nModerator: Faidra Monachou (Harvard CMSA)\n\n\n\n\n\n\n\n\n\nThe 2020-2022 Ding Shum lectures were postponed due to Covid-19. \n\n\n\nThe 2019 Ding Shum Lecture featured Ronald Rivest on “Election Security.”\n\n\nThis event is made possible by the generous funding of Ding Lei and Harry Shum. \n\n\nWatch the Lecture on Youtube:
URL:https://cmsa.fas.harvard.edu/event/2023-ding-shum-lecture/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Ding Shum Lecture,Event,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Cynthia-Dwork.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230209T153000
DTEND;TZID=America/New_York:20230209T170000
DTSTAMP:20260618T003725
CREATED:20230705T052251Z
LAST-MODIFIED:20250328T200154Z
UID:10000063-1675956600-1675962000@cmsa.fas.harvard.edu
SUMMARY:Special Lectures on Machine Learning and Protein Folding
DESCRIPTION:The CMSA hosted a series of three 90-minute lectures on the subject of machine learning for protein folding. \nThursday Feb. 9\, Thursday Feb. 16\, & Thursday March 9\, 2023\, 3:30-5:00 pm ET \nLocation: G10\, CMSA\, 20 Garden Street\, Cambridge MA 02138 & via Zoom \n  \n  \n \nSpeaker: Nazim Bouatta\, Harvard Medical School \nAbstract: AlphaFold2\, a neural network-based model which predicts protein structures from amino acid sequences\, is revolutionizing the field of structural biology. This lecture series\, given by a leader of the OpenFold project which created an open-source version of AlphaFold2\, will explain the protein structure problem and the detailed workings of these models\, along with many new results and directions for future research. \nThursday\, Feb. 9\, 2023 \n\n\n\nThursday\, Feb. 9\, 2023 \n3:30–5:00 pm ET\nLecture 1: Machine learning for protein structure prediction\, Part 1: Algorithm space \nA brief intro to protein biology. AlphaFold2 impacts on experimental structural biology. Co-evolutionary approaches. Space of ‘algorithms’ for protein structure prediction. Proteins as images (CNNs for protein structure prediction). End-to-end differentiable approaches. Attention and long-range dependencies. AlphaFold2 in a nutshell. \n  \n \n\n\n\n  \n\n\n\nThursday\, Feb. 16\, 2023 \n3:30–5:00 pm ET\nLecture 2: Machine learning for protein structure prediction\, Part 2: AlphaFold2 architecture \nTurning the co-evolutionary principle into an algorithm: EvoFormer. Structure module and symmetry principles (equivariance and invariance). OpenFold: retraining AlphaFold2 and insights into its learning mechanisms and capacity for generalization. Applications of variants of AlphaFold2 beyond protein structure prediction: AlphaFold Multimer for protein complexes\, RNA structure prediction.\n\n\n\n  \n\n\n\nThursday\, March 9\, 2023 \n3:30–5:00 pm ET\nLecture 3: Machine learning for protein structure prediction\, Part 3: AlphaFold2 limitations and insights learned from OpenFold \nLimitations of AlphaFold2 and evolutionary ML pipelines. OpenFold: retraining AlphaFold2 yields new insights into its capacity for generalization.\n\n\n\n\n  \nBiography: Nazim Bouatta received his doctoral training in high-energy theoretical physics\, and transitioned to systems biology at Harvard Medical School\, where he received training in cellular and molecular biology in the group of Prof. Judy Lieberman. He is currently a Senior Research Fellow in the Laboratory of Systems Pharmacology led by Prof. Peter Sorger at Harvard Medical School\, and an affiliate of the Department of Systems Biology at Columbia\, in the group of Prof. Mohammed AlQuraishi. He is interested in applying machine learning\, physics\, and mathematics to biology at multiple scales. He recently co-supervised the OpenFold project\, an optimized\, trainable\, and completely open-source version of AlphaFold2. OpenFold has paved the way for many breakthroughs in biology\, including the release of the ESM Metagenomic Atlas containing over 600 million predicted protein structures. \n  \nChair: Michael Douglas (Harvard CMSA) \nModerators: Farzan Vafa & Sergiy Verstyuk (Harvard CMSA) \n\nLecture 1: Machine learning for protein structure prediction\, Part 1: Algorithm space\n \n  \nLecture 2: Machine learning for protein structure prediction\, Part 2: AlphaFold2 architecture\n \n  \nLecture 3: Machine learning for protein structure prediction\, Part 3: AlphaFold2 limitations and insights learned from OpenFold\n \n 
URL:https://cmsa.fas.harvard.edu/event/protein-folding/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Special Lectures,Workshop
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Protein-Folding_8.5x11-scaled.jpg
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230202T190000
DTEND;TZID=America/New_York:20230202T200000
DTSTAMP:20260618T003725
CREATED:20230705T050204Z
LAST-MODIFIED:20250328T200143Z
UID:10000062-1675364400-1675368000@cmsa.fas.harvard.edu
SUMMARY:Third Annual Yip Lecture
DESCRIPTION:Andrew Strominger will give the Third Annual Yip Lecture on February 2\, 2023. \nTime: 7:00-8:00 pm ET \nLocation: Harvard Science Center Hall A \n  \nTitle: Black Holes: The Most Mysterious Objects in the Universe \nAbstract: In the last decade black holes have come to center stage in both theoretical and observational science. Theoretically\, they were shown a half-century ago by Stephen Hawking and others to obey a precise but still-mysterious set of laws which imply they are paradoxically both the simplest and most complex objects in the universe. Compelling progress on this paradox has occurred recently. Observationally\, they have finally and dramatically been seen in the sky\, including at LIGO and the Event Horizon Telescope. Future prospects for progress on both fronts hinge on emergent symmetries occurring near the black holes. An elementary presentation of aspects of these topics and their interplay will be given. \nAndrew Strominger is the Gwill E. York Professor of Physics and a senior faculty member at the Black Hole Initiative at Harvard University. \nIntroduction: Peter Galison (Harvard Physics & Black Hole Initiative) \nModerator: Daniel Kapec (Harvard CMSA) \nThe Yip Lecture takes place thanks to the support of Dr. Shing-Yiu Yip. \n  \n \n\nThe previous Yip Lecture featured Avi Loeb (Harvard)\, who spoke on Extraterrestrial Life.
URL:https://cmsa.fas.harvard.edu/event/yip-2023/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Public Lecture,Special Lectures,Yip Lecture Series
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Yip-2023.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20221109T093000
DTEND;TZID=America/New_York:20221109T110000
DTSTAMP:20260618T003725
CREATED:20230705T045400Z
LAST-MODIFIED:20250328T200129Z
UID:10000060-1667986200-1667991600@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Large cardinals and small sets: The AD+ Duality Program
DESCRIPTION:CMSA/Tsinghua Math-Science Literature Lecture \n \nProf. Hugh Woodin will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. \nDate: Wednesday\, November 9\, 2022 \nTime: 9:30 – 11:00 am ET \nLocation: Via Zoom Webinar and Room G10\, CMSA\, 20 Garden Street\, Cambridge MA 02138 \n  \nTitle: Large cardinals and small sets: The AD+ Duality Program \nAbstract: The determinacy axiom\, AD\, was introduced by Mycielski and Steinhaus over 60 years ago as an alternative to the Axiom of Choice for the study of arbitrary sets of real numbers.  The modern view is that determinacy axioms concern generalizations of the borel sets\, and deep connections with large cardinal axioms have emerged. \nThe study of determinacy axioms has led to a specific technical refinement of AD\, this is the axiom AD+. The further connections with large axioms have in turn implicitly led to a duality program\, this is the AD+ Duality Program. \nThe main open problems here are intertwined with those of the Inner Model Program\, which is the central program in the study of large cardinal axioms. \nThis has now all been distilled into a series of specific conjectures. \n  \nTalk chair: Horng-Tzer Yau (Harvard Mathematics & CMSA) \nModerator: Alejandro Poveda Ruzafa (Harvard CMSA) \n  \nBeginning in Spring 2020\, the CMSA began hosting a lecture series on literature in the mathematical sciences\, with a focus on significant developments in mathematics that have influenced the discipline\, and the lifetime accomplishments of significant scholars. \n  \nCMSA COVID-19 Policies
URL:https://cmsa.fas.harvard.edu/event/math-science-literature-lecture/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_WOODIN.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220422T093000
DTEND;TZID=America/New_York:20220422T230000
DTSTAMP:20260618T003725
CREATED:20230706T180541Z
LAST-MODIFIED:20250328T200643Z
UID:10000096-1650619800-1650668400@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Three Introductory Lectures on Game Theory for Mathematicians: Auction Theory
DESCRIPTION:Eric Maskin (Harvard University) Three Introductory Lectures on Game Theory for Mathematicians \nApril 22\, 2022 | 9:30 – 11:00 am ET \nTitle: Auction Theory \nAbstract: Equivalences among four standard auctions: the high-bid auction (the high bidder wins and pays her bid); the second-bid auction (the high bidder wins and pays the second-highest bid); the Dutch auction (the auctioneer lowers the price successively until some bidder is willing to pay); and the English auction (bidders raise their bids successively until no one wants to bid higher). \nTalk chairs: Scott Kominers\, Sergiy Verstyuk \nSLIDES | VIDEO Answers to Questions from Talks 2 and 3
URL:https://cmsa.fas.harvard.edu/event/maskin_gametheory2022_3/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_MASKIN-1583x2048-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220420T093000
DTEND;TZID=America/New_York:20220420T110000
DTSTAMP:20260618T003725
CREATED:20230706T180319Z
LAST-MODIFIED:20250328T200302Z
UID:10000095-1650447000-1650452400@cmsa.fas.harvard.edu
SUMMARY:CMSA/Tsinghua Math-Science Literature Lecture: Three Introductory Lectures on Game Theory for Mathematicians: Mechanism Design
DESCRIPTION:Eric Maskin (Harvard University) Three Introductory Lectures on Game Theory for Mathematicians \nApril 20\, 2022 | 9:30 – 11:00 am ET \nTitle: Mechanism Design \nAbstract: Given a social goal\, under what circumstances can we design a game to achieve that goal? \nTalk chairs: Scott Kominers\, Sergiy Verstyuk \nSLIDES | VIDEO
URL:https://cmsa.fas.harvard.edu/event/maskin_gametheory2022_2/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mathlit_MASKIN-1583x2048-1.png
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END:VCALENDAR