NSF award 2451675 · Texas Christian University

Topological Invariants and the Classification of Nuclear C*-algebras

Final report due

29 December 2028

in 803 days · The award ends on 31 August 2028.

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Decide about an extension3 May 2028in 563 days
award ending 2028-08-31 · Research.gov
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Extension request17 Jul 2028in 638 days
award ending 2028-08-31 · Research.gov
PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice21 Aug 2028in 673 days
award ending 2028-08-31 · Research.gov
PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due29 Dec 2028in 803 days
award ending 2028-08-31 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due29 Dec 2028in 803 days
award ending 2028-08-31 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out29 Dec 2028in 803 days
award ending 2028-08-31 · 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 31 August 2028.
NSF rules say the final report is due no later than 120 days after that.
So the final report is due by 29 December 2028.

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Award card

Award number: 2451675
Period of support: 1 Sep 2025 – 31 Aug 2028
Amount: $232,818
Awardee: Texas Christian University, Fort Worth, TX
Program: ANALYSIS PROGRAM
Directorate: MPS

Abstract

This project explores how topological features—captured through computable invariants and classification schemes—help organize complex mathematical structures known as operator algebras. Operator algebras originally served as a robust mathematical framework developed by von Neumann and others to model Heisenberg's approach to quantum mechanics, and their study is a vital part of modern analysis. Enduring interest in…

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