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Quantum Field Theory and Physical Mathematics Seminar Speaker: Grigorii Taroian, U Toronto Title: de Rham Theory in Derived Differential Geometry Abstract: In the talk, I will describe recent progress in building a version of de Rham theory for derived manifolds and derived differentiable stacks. Derived differential geometry is a nascent field applying techniques from derived algebraic […]
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Colloquium Speaker: Eran Nevo (Hebrew University of Jerusalem) Title: Rigidity, expansion and polytopes Abstract: Given a graph G and an embedding of its vertices in R^d, what continuous motions of the vertices preserve all edge lengths? Clearly all motions induced by an isometry of R^d do, these are the trivial motions; are there any others? If the answer […] |
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Geometry and Quantum Theory Seminar Speakers: (1) Elliott Gesteau, CMSA (60 min) and (2) Sanjay Raman, Harvard (30 min) (1) Title: Holography for closed universes Abstract: Recent advances in holography and black hole physics have prompted a number of new puzzles related to the physics of closed universes, which can be argued to have a one-dimensional […] |
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Algebra Seminar Speaker: Roman Bezrukavnikov, MIT Title: Affine Springer fibers and representations Abstract: Relating representation categories of interest, such of modules over the quantum group, to topology of loop spaces has been an important theme in representation theory for some decades. I will describe a result of this sort involving a geometric object that has […]
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Differential Geometry and Physics Seminar Speaker: Jian Song, Rutgers University Title: RCD structures on singular Kahler varieties Abstract: Let X be a 3-dimensional projective variety with klt singularities. We prove that every singular Kahler metric on X with bounded Nash entropy and Ricci curvature bounded below induces a unique compact RCD space homeomorphic to the projective […] |
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Member Seminar Speaker: Sunghyuk Park, CMSA Title: Skein remain the same Abstract: The count of holomorphic curves in a Calabi-Yau 3-fold ending on a Lagrangian is famously not deformation invariant, but Ekholm and Shende have shown that it can be made invariant by counting in the skein. Given a 3-manifold M and a branched cover arising from […] |
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Geometry and Quantum Theory Seminar Speaker: Dan Freed Title: A fully local extension of Chern-Simons theory Abstract: The Reshetikhin-Turaev-Witten invariants of 3-manifolds fit into a 3-dimensional topological field theory that also attaches invariants to 2-manifolds and 1-manifolds. It has long been asked to extend to invariants of 0-manifolds as well, a question that often takes […] |
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CMSA Q&A Seminar Speaker: Paul Seidel, MIT Topic: Fukaya categories of Landau-Ginzburg models
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New Technologies in Mathematics Seminar Speaker: Yongji Wang, NYU Courant Institute of Mathematical Sciences Title: Discovery of unstable singularity with machine precision Abstract: Whether singularities can form in fluids remains a foundational unanswered question in mathematics. This phenomenon occurs when solutions to governing equations, such as the 3D Euler equations, develop infinite gradients from smooth initial […] |
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Differential Geometry and Physics Seminar Speaker: Dylan Galt, Harvard Title: Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons Abstract: I will begin by explaining a dimension reduction result for Tian's generalized ASD instantons over product manifolds, which generalizes work of Yuanqi Wang on codimension-one reduction and includes the cases of G2 and Spin(7) instantons as well […] |
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Member Seminar Speaker: Bowen Yang Title: Classification of 2D Stabilizer States Abstract: I will explain how translation-invariant two-dimensional stabilizer states are completely classified by finite abelian groups with nondegenerate quadratic forms—that is, by abelian anyon theories. The proof uses the algebraic structure of stabilizer codes as modules over Laurent polynomial rings, revealing how their physical […] |
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Ezra Getzler, Northwestern Title: The Moyal bracket and the BV cohomology of the spinning particle Abstract: The spinning particle is the one-dimensional reduction of the Neveu-Schwartz-Ramond superstring. It consists of a supersymmetric particle moving in a one-dimensional supergravity background, and its quantization is the Hilbert superspace of […] |
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Geometry and Quantum Theory Seminar Speaker: Sunghyuk Park, CMSA Title: Khovanov homology from KLRW algebras Abstract: This is the first in a four-part series, organized together with Vasily Krylov, Sebastian Haney, and Lorenzo Riva, aimed at understanding Aganagic's categorification of quantum link invariants through Coulomb branches and homological mirror symmetry. In this first talk, I will lay […] |
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Featured
Geometry Meets Physics: Finiteness, Tameness, and Complexity Dates: November 12–14, 2025 Location: CMSA G10, 20 Garden Street, Cambridge MA 02138 (note: this event is in-person only) Finiteness is a fundamental property in consistent physical theories. From the earliest days of quantum field theory and string theory, the drive to eliminate unphysical infinities has been a […] 
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https://youtu.be/d23FICTAC1Y Date: November 12, 2025 Time: 5:00–6:00 pm Location: Harvard Science Center Hall D, 1 Oxford St., Cambridge MA Speaker: Pierre Deligne, Institute for Advanced Study Title: What is the Hodge conjecture? Abstract: The Hodge conjecture is about projective non-singular complex algebraic varieties. It characterizes the cohomology classes coming from algebraic cycles. I will […] |
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Freedman Seminar Speaker: Michael Freedman, Harvard CMSA Title: Sullivan’s work on Lipschitz structures Part II (but self-contained) Speaker: Bowen Yang, CMSA Title: Deligne and Sullivan's work on complex bundles with discrete structure group |
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Conference on Geometry and Statistics Dates: November 17–19, 2025 Location: CMSA G10, 20 Garden Street, Cambridge MA & via Zoom Speakers Charles Fefferman, Princeton University Stephan Huckemann, Georg-August Universität Göttingen Sungkyu Jung, Seoul National University Kei Kobayashi, Keio University Clément Levrard, Université de Rennes Ker-Chau Li, University of California, Los Angeles Rong Ma, Harvard […] 
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Colloquium Speaker: Zhigang Yao (National University of Singapore) Title: Interaction of Statistics and Geometry: A New Landscape for Data Science Abstract: Classical statistics views data as real numbers or vectors in Euclidean space, but modern challenges increasingly involve data with intrinsic geometric structures. A central problem in this direction is manifold fitting, with origins in H. Whitney’s […]
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Quantum Field Theory and Physical Mathematics Seminar Speaker: Justin Kulp, Stony Brook Title: BV and the ThimTFT Abstract: The SymTFT (or “quiche”) construction relates different global forms of d-dimensional QFTs with discrete symmetry: realizing different global forms as a (d+1)-dimensional TFT on an interval, with a common "physical" boundary condition on one side, and different […] |
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Algebra Seminar Speaker: Dawei Chen, Boston College Title: Differentials and Singularities Abstract: Given a holomorphic differential on a smooth algebraic curve, we associate to it a Gorenstein curve singularity with Gm-action. Conversely, we show that every isolated Gorenstein curve singularity with Gm-action appears in this way. This construction reveals a fascinating relation between differentials and […]
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Differential Geometry and Physics Seminar Speaker: Andrés Franco Valiente, UC Berkeley Title: Tropical-Topological (Tropological) Sigma Models Abstract: Tropical geometry provides a powerful bridge between complex and combinatorial worlds, allowing certain curve-counting invariants to be computed in a piecewise-linear “tropical” limit. Building on Mikhalkin’s insight that Gromov–Witten invariants can be recovered from tropical curves, this talk revisits Mikhalkin's […] |
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Member Seminar Speaker: Francesco Mori, CMSA Title: Optimal learning protocols via statistical physics and control theory Abstract: Behind the impressive performance of modern machine learning lies a toolkit of training tricks, from tuning learning rates to curating training data. These heuristics are powerful but hard to interpret and possibly suboptimal, leaving open the challenge of finding general […] |
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Colloquium Speaker: Thomas Grimm, Utrecht University Title: Geometric Simplicity in Quantum Field Theory and Gravity Abstract: In physics we attribute much value to the emergence of simplicity, both conceptually and for computations. Familiar examples include algebraic relations among Feynman amplitudes, the surprising descriptions arising in large-N or duality limits, and the central role played by […] |
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Geometry and Quantum Theory Seminar Speaker:Vasily Krylov, CMSA Title: Coulomb branches and KLRW algebras Abstract: I will introduce Coulomb branches associated to a pair of a reductive group G and its complex representation N. We will discuss their main geometric properties and examine explicit examples. I will also highlight the connection to the moduli space of monopoles. […] |
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