NSF award 2556201 · University of California-Los Angeles

Interactions of Fourier Restriction with Fractal Geometry and Number Theory

Final report due

28 October 2029

in 1,106 days · The award ends on 30 June 2029.

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Decide about an extension2 Mar 2029in 866 days
award ending 2029-06-30 · Research.gov
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Extension request16 May 2029in 941 days
award ending 2029-06-30 · Research.gov
PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice20 Jun 2029in 976 days
award ending 2029-06-30 · Research.gov
PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due28 Oct 2029in 1106 days
award ending 2029-06-30 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due28 Oct 2029in 1106 days
award ending 2029-06-30 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out28 Oct 2029in 1106 days
award ending 2029-06-30 · Research.gov
PAPPG 24-1: “financially closed out 120 days after their expiration date”

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NSF lists this award's end date as 30 June 2029.
NSF rules say the final report is due no later than 120 days after that.
So the final report is due by 28 October 2029.

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Award card

Award number: 2556201
Period of support: 1 Jul 2026 – 30 Jun 2029
Amount: $200,000
Awardee: University of California-Los Angeles, LOS Angeles, CA
Program: ANALYSIS PROGRAM
Directorate: MPS

Abstract

The investigator conducts mathematical research in the subareas of number theory and fractal geometry using tools from harmonic analysis. A central tool in harmonic analysis is the Fourier transform, which is used in engineering, medical imaging (MRI), and physics (to study wave propagation and oscillatory phenomena). This project seeks to understand refined behavior of the Fourier transform under special geometric…

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