This National Science Foundation Project Grant award of $120,720 supports research and educational activities in the field of harmonic analysis at the University of Massachusetts Lowell from September 2022 through August 2025. The award is funded through the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will support research on several topics in real and discrete harmonic analysis, including spherical maximal operators on dilated sets, discrete analogues of classical operators like Stein-Wainger singular integrals, and multilinear singular integrals with Radon-type behavior. The grant will also fund an online seminar series, a book on undergraduate analysis, curriculum improvement efforts, and student training. The research focuses on establishing mapping properties of various integral transforms dependent on geometric properties, addressing fundamental conjectures in ergodic theory through number theoretic techniques, and investigating associated multilinear smoothing inequalities with applications in arithmetic combinatorics. Outcomes from this work have the potential to enhance theoretical understanding and the mathematical toolbox across diverse scientific and engineering disciplines.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $120.7k | 4/1/22 |