My area of research is focused on C*-algebras and their intersection with other areas of pure mathematics, such as algebraic topology and topological dynamics. Recently, I have developed an interest in problems involving C*-algebras and their dimension theories.
Publications and Preprints
The Radius of Comparison for Actions of Z^d on Simple AH-Algebras (with M. Ali Asadi-Vasfi and Ilan Hirshberg)
https://doi.org/10.48550/arXiv.2503.05329
Powers Averaging for Actions on C(X)-Algebras (with Tattwamasi Amrutam and Ilan Hirshberg)
https://arxiv.org/pdf/2312.07702
Intermediate Crossed Product C*-Algebras (with Tattwamasi Amrutam and Ilan Hirshberg)
https://doi.org/10.48550/arXiv.2311.01524
K-Stability of AT-Algebras (with Prahlad Vaidyanathan)
Journal of Mathematical Analysis and Applications Vol. 52, Issue 2 (2023)
doi.org/10.1016/j.jmaa.2022.126957
Rational K-Stability of Continuous C(X)-Algebras (with Prahlad Vaidyanathan)
Journal of the Australian Mathematical Society, 115 (1) (2023), p. 119-144
doi.org/10.1017/S144678872200009X
AF-Algebras and Rational Homotopy Theory (with Prahlad Vaidyanathan)
New York Journal of Mathematics 26 (2020), p. 931-949
nyjm.albany.edu/j/2020/26-40v.pdf
K-Stability of Continuous C(X)-Algebras (with Prahlad Vaidyanathan)
Proceedings of the AMS 148 (2020), p. 3897-3909
www.ams.org/journals/proc/2020-148-09/S0002-9939-2020-15035-6/