Research

I have been an Assistant Professor at Mary Immaculate College, Thurles, Ireland since September 2023. Previously I was at Munster Technological University, Cork, Ireland. 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.

Download my academic CV here.

Publications

• A central limit theorem for the Thompson group F: Indiana Univ. Math. J. 74 (2025), 1393--1422. (arXiv).
• Markovianity and the Thompson Monoid F+ with C. Koestler and S. J. Wills: Journal of Functional Analysis 284 (2023), no. 6 109818 (arXiv).
• Markovianity and the Thompson Group F with C. Koestler: SIGMA 18 (2022), 083, 27 pages (arXiv).
• Pseudospectra of elements of reduced Banach algebras II with S. H. Kulkarni: Funct. Anal. Approx. Comput. 10 (2018), no. 2, 33 -- 45.
• Pseudospectra of elements of reduced Banach algebras with S. H. Kulkarni: Adv. Oper. Theory 2 (2017), no. 4, 475 -- 493.
• Pseudospectrum of an element of a Banach algebra with S. H. Kulkarni: Oper. Matrices 11 (2017), no. 1, 263 -- 287.