Project Grant 2601299
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Massachusetts Boston $140,000 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study arithmetic and symmetry structures in quantum cohomology. The project investigates number-theoretic patterns embedded in quantum cohomology, a mathematical theory originating in string theory and geometric physics. The investigator will pursue two related directions: first,...
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $375,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in class field theory and arithmetic geometry. The principal investigator will study the construction of one-variable polynomial equations with commuting solution-set symmetries, a problem unsolved since the 19th century, and will investigate rational-coordinate points...
- Federal Project Grant Award Summary Amherst College received $141,272 in funding from the National Science Foundation's (NSF) Directorate for Mathematical and Physical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the project "Integrable Systems and Hamiltonian Torus Actions in Symplectic Geometry." Awarded on January 1, 2026, with a completion date of December 31, 2027, this project supports fundamental mathematical research investigating the...
- 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...
- The National Science Foundation (NSF) awarded a $274,996 project grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Massachusetts (UMass). The grant period runs from June 1, 2024 to May 31, 2027. The primary focus of the research is to advance the study of derived categories of moduli spaces and Fano varieties, with the goal of further developing the interconnections between algebraic geometry, non-commutative geometry, and mathematical...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Massachusetts Lowell $217,008 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support theoretical research in real and discrete harmonic analysis. The project, running through August 31, 2029, develops mathematical theory for operators that average, filter, and detect structure in functions, with emphasis on how operator behavior depends on the geometry of scale...
- The National Science Foundation Division of Mathematical Sciences awarded $188,518 to President and Fellows of Harvard College on June 1, 2026, to investigate arithmetic statistics through homological stability under the Mathematical and Physical Sciences program (CFDA 47.049). The recipient will work on main conjectures in arithmetic statistics over function fields, including the Cohen-Lenstra conjectures on class groups of quadratic fields, Malle's conjecture on counting global field...
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $244,913 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance symplectic topology research connecting geometry, topology, number theory, and algebraic geometry. The award funds research in two directions. The investigator will study Frobenius structures on quantum D-modules and quantum connections from arithmetic, categorical, and...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $230,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate quantum cluster algebras and monoidal categories. The recipient will conduct foundational research on noncommutative algebraic structures, specifically building canonical bases of quantum cluster algebras at roots of unity and studying their irreducible representations through connections to...
The National Science Foundation Division of Mathematical Sciences awarded Amherst College, Trustees Of, $254,952 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct theoretical research on mock modular forms, harmonic Maass forms, quantum modular forms, and related symmetric complex functions with applications to number theory, combinatorics, mathematical physics, cryptography, topology, knot theory, and partition theory. The project emphasizes undergraduate research participation, with specific research projects designed for undergraduate mentoring and training alongside faculty-led investigation of how holomorphic parts of harmonic Maass forms and related objects function in mathematics and number theory. Research goals include developing a comprehensive theory of mock modular forms and quantum modular forms—newer relatives to classical modular forms that have emerged over the past 20–25 years but lack unified theoretical frameworks—and exploring their connections to established mathematical problems including the Riemann Hypothesis. Performance is located in Amherst, Massachusetts, with an obligated amount of $254,952 and a period of performance extending from the award date through July 31, 2029. The project builds from the principal investigator's existing research program in harmonic Maass forms, quantum modular forms, and combinatorial q-hypergeometric series.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $255.0k | 8/12/26 |