معرفی
Sanath Devalapurkar is a Dickson instructor in the Department of Mathematics at the University of Chicago for the 2025-26 academic year, with upcoming positions at the Institute for Advanced Study (Fall 2026) and Johns Hopkins University (as Assistant Professor thereafter). His academic career spans prestigious institutions including Harvard University and MIT.
His educational background includes:
- PhD in Mathematics from Harvard University (completed 2025), advised by Mike Hopkins and Dennis Gaitsgory
- Undergraduate degree in Mathematics (Course 18) with a minor in Physics (Course 8) from MIT (completed 2020)
Devalapurkar's research spans multiple interconnected areas of modern mathematics. His primary interests lie in algebraic topology, particularly chromatic homotopy theory and its connections to other fields. He investigates characteristic p geometry, exploring deep connections between homotopy theory and arithmetic geometry. His work in geometric representation theory focuses on the geometric Langlands program and its generalizations, especially through the lens of higher category theory and derived algebraic geometry. A unifying theme in his research is the application of homotopical methods to solve problems in representation theory and algebraic geometry, often revealing unexpected connections between seemingly disparate mathematical domains. His work demonstrates sophisticated use of spectral sequences, EHP sequences, and Hopf fibrations to bridge abstract homotopy theory with concrete geometric problems.
His publication record demonstrates a consistent trajectory from foundational work in unstable homotopy theory toward increasingly sophisticated applications in geometric representation theory. Early publications established results in chromatic phenomena and Thom spectra, while more recent work explores intricate connections between geometric Langlands duality and generalized cohomology theories. His research shows particular strength in identifying and exploiting analogies between different mathematical structures, such as the relationship between the geometric Satake equivalence and chromatic homotopy theory. His papers frequently combine deep technical results with broader conceptual frameworks that illuminate connections across mathematical disciplines.
As an educator, Devalapurkar has taught a variety of courses including Math 99r on integrable systems (Spring 2024) and Math 1b (Calculus, Series, and Differential Equations) at Harvard (Fall 2022). He has served as a teaching assistant for advanced courses in algebraic number theory (Math 223a) and algebraic topology (Math 231b). He has mentored numerous reading projects through Harvard's Directed Reading Program, covering topics from surfaces and Chern classes to prismatic cohomology. He also actively mentors high school students through the PRIMES USA program, demonstrating commitment to nurturing mathematical talent at all levels. Additionally, he organizes seminars including one on "Arnold's trinities" with Thomas Brazelton and another on relative Langlands duality with Ben Gammage.
