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
Pureness of Certain Crossed Product C*-Algebras (with Dawn Archey, Julian Buck, Javad Mohammadkarimi, and N. Christopher Phillips)
arXiv Preprint: arXiv:2604.10080
Continuous Functions over a Pure C*-Algebra (with Eduard Vilalta)
arXiv Preprint: arXiv:2602.14809
Tensorial Permanence of K-Stability for Diagonal AH-Algebras
Bulletin of the London Mathematical Society Vol. 58, Issue 5 (2026)
DOI: https://doi.org/10.1112/blms.70398 | arXiv Preprint: arXiv:2512.04780
The Radius of Comparison for Actions of Z^d on Simple AH-Algebras (with M. Ali Asadi-Vasfi and Ilan Hirshberg)
arXiv Preprint: arXiv:2503.05329
Powers Averaging for Actions on C(X)-Algebras (with Tattwamasi Amrutam and Ilan Hirshberg)
arXiv Preprint: arXiv:2312.07702
Intermediate Crossed Product C*-Algebras (with Tattwamasi Amrutam and Ilan Hirshberg)
arXiv Preprint: arXiv:2311.01524
K-Stability of AT-Algebras (with Prahlad Vaidyanathan)
Journal of Mathematical Analysis and Applications Vol. 52, Issue 2 (2023)
DOI: doi.org/10.1016/j.jmaa.2022.126957 | arXiv Preprint: arXiv:2203.00979
Rational K-Stability of Continuous C(X)-Algebras (with Prahlad Vaidyanathan)
Journal of the Australian Mathematical Society, 115 (1) (2023), p. 119-144
DOI: doi.org/10.1017/S144678872200009X | arXiv Preprint: arXiv:2102.13529
AF-Algebras and Rational Homotopy Theory (with Prahlad Vaidyanathan)
New York Journal of Mathematics 26 (2020), p. 931-949
Available online at: nyjm.albany.edu/j/2020/26-40v.pdf | arXiv Preprint: arXiv:2005.04423
K-Stability of Continuous C(X)-Algebras (with Prahlad Vaidyanathan)
Proceedings of the AMS 148 (2020), p. 3897-3909
DOI: www.ams.org/journals/proc/2020-148-09/S0002-9939-2020-15035-6/ | arXiv Preprint: arXiv:1906.00033