Dr Arundhathi Krishnan

Dr Arundhathi Krishnan

BSc (University of Madras), MSc, PhD (IIT Madras)
Assistant Professor in Mathematics

• Email: Arundhathi.Krishnan@mic.ul.ie
• Location: Thurles, P116

View my Research Profile

Research interests

Operator algebras; Noncommutative probability

More information

Timeline: I was a postdoctoral fellow in the Department of Pure Mathematics, University of Waterloo, Ontario Canada between January 2021 and December 2022, and a Government of Ireland postdoctoral fellow at University College Cork, Ireland between 2018 and 2020. I completed my Ph.D. in the Department of Mathematics at IIT Madras, Chennai, India in 2018. I am interested in the area of operator algebras, with a view towards noncommutative probability.

Teaching: Spring 2025 -- Introduction to Geometry (MHP4722); Abstract Algebra (MHP4728). 

Preprints and Publications:

1. Arundhathi Krishnan, A central limit theorem in the framework of the Thompson group F, Preprint (https://arxiv.org/abs/2309.05626), to appear in Indiana University Mathematics Journal (https://www.iumj.indiana.edu/…)
2. Claus Köstler, Arundhathi Krishnan and Stephen J. Wills, Markovianity and the Thompson monoid F+, Journal of Functional Analysis 284 (6), 109818, 2023 (https://arxiv.org/abs/2009.14811).
3. Claus Köstler and Arundhathi Krishnan, Markovianity and the Thompson Group F,  SIGMA 18 (083), 27 pages, 2022. (https://arxiv.org/abs/2204.03595).
4. Arundhathi Krishnan and S. H. Kulkarni, Pseudospectra of elements of reduced Banach algebras II, Funct. Anal. Approx. Comput. 10 (2), 33-45, 2018.
5. Arundhathi Krishnan and S. H. Kulkarni, Pseudospectra of elements of reduced Banach algebras, Adv. Oper. Theory 2 (4), 475--493, 2017.
6. Arundhathi Krishnan and S. H. Kulkarni, Pseudospectrum of an element of a Banach algebra, Oper. Matrices 11 (1), 263--287, 2017.

Joint MIC MTU UCC Quantum Mathematics Seminar: Webpage

Recent and Upcoming Invited Talks:

1. Rutgers Experimental Mathematics Seminar, Rutgers University, March 2025.
2. New trends at the intersection of quantum information theory, quantum groups and operator algebras, Isaac Newton Institute for Mathematical Sciences, Cambridge, December 2024 (Recording).
3. Irish Committee for Equality, Diversity and Inclusion in Mathematics Seminar, March 2024.
4. Analysis Seminar, University of Waterloo, July 2023.
5. Women in Operator Algebra 3, Banff International Research Station, June 2023 (Recording).
6. Analysis Seminar, University of Glasgow, May 2023.