This five-year $142,710 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at Rutgers, The State University developing new tools in harmonic analysis, ergodic theory, and convex geometry. The Principal Investigator will investigate questions in ergodic theory related to the Furstenberg-Bergelson-Leibman conjecture for dynamical systems with nilpotent group structure. In harmonic analysis, the research will examine maximal operators over high-dimensional convex bodies in connection with the isotropic constant conjecture. The project aims to advance methods in harmonic analysis, number theory, and probability to understand central problems in ergodic theory and convex geometry. In addition to supporting research, the grant will fund educational activities including seminars, workshops, and student training to promote mathematics and encourage participation from underrepresented groups.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $142.7k | 1/26/23 |