Recent developments have poised this area to make serious advances in 2019, and we feel that bringing together many of the relevant experts for an intensive semester of discussions and collaboration will trigger some great things to happen. To this end, the organizers will host a small workshop during Fall 2019, with between 20-30 participants. […]
The Math Department and Harvard’s Center of Mathematical Sciences and Applications (CMSA) will be running a math program/course for mathematically minded undergraduates this summer. The course will be run by Dr. Yingying Wu from CMSA. Here is a description: Summer Introduction to Mathematical Research (sponsored by CMSA and the Harvard Math Department) In this course, we will start […]
During the 2021–2022 academic year, the CMSA will host a program on the so-called “Swampland.” The Swampland program aims to determine which low-energy effective field theories are consistent with nonperturbative quantum gravity considerations. Not everything is possible in String Theory, and finding out what is and what is not strongly constrains the low energy physics. These constraints are naturally […]
The methods of topology have been applied to condensed matter physics in the study of topological phases of matter. Topological states of matter are new quantum states that can be characterized by their topological properties. For example, the first topological states of matter discovered were the integer quantum Hall states. The two dimensional integer quantum […]
A major challenge in evolutionary biology is to understand how spatial population structure affects the evolution of social behaviors such as cooperation. This question can be investigated mathematically by studying evolutionary processes on graphs. Individuals occupy vertices and interact with neighbors according to a matrix game. Births and deaths occur stochastically according to an update […]
In the past thirty years there have been deep interactions between mathematics and theoretical physics which have tremendously enhanced both subjects. The focal points of these interactions include string theory, general relativity, and quantum many-body theory. String theory has been at the center of the ongoing effort to uncover the fundamental principles of nature and […]
Most physical phenomena, from the gravitating universe to fluid dynamics, are modeled on nonlinear differential equations. The subject also makes close connections with other branches of mathematics. In particular, some of the deepest results in complex geometry and topology were obtained through solutions of nonlinear equations. The subject underwent rapid developments in the last century […]
The Simons Collaboration on Homological Mirror Symmetry brings together a group of leading mathematicians working towards the goal of proving Homological Mirror Symmetry (HMS) in full generality, and fully exploring its applications. This program is funded by the Simons Foundation. Mirror symmetry, which emerged in the late 1980s as an unexpected physical duality between quantum field theories, has been a major […]
During the Spring 2022 semester, the CMSA hosted a program on General Relativity. This semester-long program included four minicourses, a conference, and a workshop. General Relativity Mincourses: March–May, 2022 General Relativity Conference: April 4–8, 2022 General Relativity Workshop: May 2–5, 2022 Program Visitors Dan Lee, CMSA/CUNY, 1/24/22 – 5/20/22 Stefan Czimek, Brown, 2/27/22 – […]
The Math Department and Harvard’s Center of Mathematical Sciences and Applications (CMSA) will be running a math program/course for mathematically minded undergraduates this summer. The course will be run by Dr. Yingying Wu from CMSA. Here is a description: Summer Introduction to Mathematical Research (sponsored by CMSA and the Harvard Math Department) In this course, we will start […]
The Math Department and Harvard’s Center of Mathematical Sciences and Applications (CMSA) will be running a math program/course for mathematically minded undergraduates this summer. The course will be run by Dr. Yingying Wu from CMSA. Here is a description: Summer Introduction to Mathematical Research (sponsored by CMSA and the Harvard Math Department) In this course, we will start […]
Arithmetic Quantum Field Theory Program To receive email updates and program announcements, visit this link to sign up for the CMSA Arithmetic Quantum Field Theory Program mailing list. Dates: Feb. 5–Mar. 29, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge MA 02138 Directions to CMSA Organizers: David Ben-Zvi (University of Texas Austin) Solomon Friedberg (Boston […]