Research
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
Intermediate Crossed Product C*-Algebras (with Tattwamasi Amrutam and Ilan Hirshberg)
(Under review).
https://doi.org/10.48550/arXiv.2311.01524
K-Stability of AT-Algebras (with Prahlad Vaidyanathan)
Journal of Mathematical Analysis and Applications
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
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/
Academic Visits
THE FIELDS INSTITUTE, Toronto, Canada
Sep 2023--Nov 2023
Long term visitor
THE FIELDS INSTITUTE, Toronto, Canada
Sep 2023--Nov 2023
Invited for "Thematic Program on Operator Algebras and Applications"
IISER Bhopal, India
April 2023
Visiting Dr. Prahlad Vaidyanthan
Talks
K-Stability of AT-Algebras
August 2023
Three minutes lightning talk at YMC*A 2023, KU Leuven, Belgium.
Description of Intermediate C*-Algebras for Noncommutative Crossed Products
April 2023
Operator Algebra Seminar, IISER Bhopal, India
Description of Intermediate C*-Algebras for Noncommutative Crossed Products
March 2023
Operator Algebras and Operator Theory Seminar
Ben-Gurion University of Negev, Israel.
Projections in von-Neumann algebras I
December 2022
Midrasha in von-Neumann algebras
Wiezmann Institute of Science, Israel.
K-Stability of Continuous C(X)-Algebras
October 2022
Operator Algebras and Operator Theory Seminar
Ben-Gurion University of Negev, Israel.
June 2022
Inter IISER-NISER Mathematics Meet (IINMM) 2022
AF-Algebras and their Nonstable K-Theory
April 2022
Methusalem Junior Seminar, KU Leuven
Nonstable K-theory for C*-Algebras
January 2022
Gottingen Seminar Noncommutative Geometry
C(X)-Algebras and their K-Stability
November 2021
QGS: Quantum Groups Seminars 2021
AF-Algebras and Rational Homotopy Theory
August 2021
YMC*A 2021
K-Stability of Continuous C(X)-Algebras
May 2021
GPOTS 2021
Nonstable K-theory for C*-Algebras
April 2021
GOBA Seminars
AF-Algebras and Rational Homotopy Theory
March 2021
WOTOA Seminars
AF-Algebras and Rational Homotopy Theory
March 2021
In-House Symposium IISER Bhopal