Project Grant 2452303
- The National Science Foundation awarded a $400,134 Project Grant to the Georgia Tech Research Corporation from the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in discrete harmonic analysis. Specifically, the awardee will analyze averages over prime numbers in abstract number field settings to gain new insights into traditionally evasive questions about prime numbers and the Goldbach conjecture. A range of questions concerning averages over prime numbers and...
- This federal Project Grant award of $240,914 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on algebraic geometry and its applications. The project, led by Georgia Tech Research Corporation, focuses on developing new techniques and moduli theories for studying higher-dimensional algebraic varieties, particularly leveraging the concept of K-stability to construct moduli spaces for Fano varieties and Calabi-Yau manifolds. The...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program will support research by the principal investigator on p-adic L-functions and Selmer groups in number theory. The $125,986 award, with a performance period from August 15, 2025 to July 31, 2027, will fund investigations into connections between the arithmetic properties of polynomial equations and the behavior of their associated L-functions. The research will...
- This $473,736 National Science Foundation project grant under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research into the role of symmetry and convexity in isoperimetric-type geometric questions in high dimensions, with potential applications in learning theory and other fields. Principal investigator at Georgia Tech Research Corporation will supervise postdocs, students, and organize seminars to investigate asymptotic geometry questions like the behavior of large...
- This $140,000 project grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will develop new techniques in the study of harmonics and their applications to the structure of prime numbers. The research will focus on improving the understanding of p-adic geometry and its connections to automorphic forms, which have important applications in signal processing and cryptography. The project will provide training opportunities for...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) is focused on three distinct problems in number theory, combinatorics, and ergodic theory. The $184,738 award will support research on generalizations of Szemerédi's Theorem, which concerns the existence of long arithmetic progressions in sufficiently large sets of integers. The investigator will also study the size and structure of integer distance sets. Additionally, the...
- This $253,498 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on analysis and geometric measure theory, with a focus on developing new techniques to better understand rectifiability in non-Euclidean geometries relevant to physics and computer science. The award also aims to characterize uncertainty principles and sampling theory, with applications to medical imaging, wireless communication, and random systems...
- The National Science Foundation (NSF) awarded a $246,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Princeton University. The grant, with a period of performance from July 1, 2025 to June 30, 2027, supports fundamental research in number theory. The principal investigator will develop new probabilistic models and multiple Dirichlet series to advance the understanding of Galois groups and L-functions, which have applications to prime number...
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This $150,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) supports research on structural techniques for dense classes of graphs. The project, led by the Georgia Tech Research Corporation, will focus on developing a comprehensive understanding of graph structure, specifically by studying classes with a forbidden vertex-minor or a dependent first-order theory....
This $119,000 Project Grant award from the National Science Foundation's (CFDA 47.049) Mathematical and Physical Sciences program concerns research in number theory. The principal investigator will seek to advance the boundaries of "large sieve inequalities" - an important mathematical tool used to study arithmetic sequences over prime numbers and the values of L-functions. The research aims to make progress on fundamental problems in number theory, including predictions about statistical biases in exponential sums over primes and Chowla's conjecture on the non-vanishing of Dirichlet L-functions. The award will support training of students and postdocs, as well as seminars, at the Georgia Institute of Technology's research organization, Georgia Tech Research Corp. The project will run from August 2025 to July 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $0 | 7/25/25 | ||
| Not listed | $119.0k | 7/18/25 |