This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on the Langlands and relative Langlands programs, which describe subtle relationships between different spaces of automorphic forms. The principal investigators (PIs) will work jointly to study these programs and extend them to new situations, focusing on functoriality and the study of periods. This will generate new insights into...
This $174,000 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research on the Langlands program, a foundational area of mathematics with connections to physics and computer science. The principal investigator (PI) will explore the representation theory of reductive groups and the theory of automorphic forms, with the primary objectives of studying the multiplicity problem for spherical varieties and using the relative trace...
This $183,897 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the Massachusetts Institute of Technology (MIT) focused on curve counting beyond rational numbers. The project aims to develop new curve-counting invariants and methods to analyze symplectic manifolds, which are crucial mathematical objects for understanding physical phenomena like the movement of planets and particle behavior. The...
This $300,000 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities in the area of automorphic forms and exceptional algebraic structures at the University of California, San Diego from July 1, 2022 to June 30, 2027. The principal investigator will conduct three related research projects investigating half-integral weight modular forms on exceptional groups, modular forms on the exceptional group G2 with...
The National Science Foundation (NSF) awarded a $190,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to support a postdoctoral research fellowship for Xinchun Ma at the Massachusetts Institute of Technology (MIT). The fellowship, under the mentorship of Roman Bezrukavnikov, will focus on the project "Geometric Double Affine Representation Theory Beyond Link Homology". This award, made as part of the FY 2025 Mathematical Sciences...
This National Science Foundation (NSF) Project Grant award under CFDA 47.049 - Mathematical and Physical Sciences provides $200,000 in funding to Amherst College from September 1, 2024 to August 31, 2027 to support research in the field of arithmetic dynamics. The project will focus on open problems at the interface of number theory and dynamical systems, exploring both the algebraic and analytic aspects of this area and the interactions between them. The principal investigator will also...
This $190,000 Project Grant award was made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049). The funding supports a 4-year Postdoctoral Fellowship for Samuel Johnston at the Massachusetts Institute of Technology, under the mentorship of Davesh Maulik. The fellowship project is titled "Logarithmic Enumerative Geometry and Mirror Symmetry" and aims to advance research at the intersection of mathematical fields. No sub-awards...
This $190,000 postdoctoral research fellowship, awarded by the National Science Foundation (NSF) under its Mathematical and Physical Sciences (CFDA 47.049) program, supports a 4-year research and training project at the Massachusetts Institute of Technology. The project, titled "From Short to Long Time Scales; Randomness and Structure Preservation in Computational Mathematics for Nonlinear Dispersive PDEs," will be conducted under the mentorship of Gigliola Staffilani. The award...
This $190,000 Project Grant award was made by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award provides a Postdoctoral Fellowship to David Yang at the Massachusetts Institute of Technology, under the mentorship of Sponsoring Scientist Zhiwei Yun. The title of the research project is "Ramification in Geometric Langlands". This fellowship supports a 4-year (July 1, 2024 to June 30, 2028) research and...
This National Science Foundation Project Grant award of $273,250 provides funding from July 1, 2022 through June 30, 2025 to support research into harmonic Maass forms and quantum modular forms. The award is made through the Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in the mathematical and physical sciences. Specifically, the funding will support research at Amherst College studying modern relatives to modular forms, including mock modular forms, harmonic Maass...