Postdoctoral researcher
School of Mathematics
Tel Aviv University, Israel
email: lakshmip at alum dot iisc dot ac.in
2021-Present: Postdoctoral researcher, Tel Aviv Univ. Mentors: Prof. Mikhail Sodin & Prof. Alon Nishry.
2015-2021: Ph.D., IISc Bangalore. Advisor: Prof. Manjunath Krishnapur.
2011-2013: M.A. in Mathematics, Univ. of Wisconsin - Madison.
2006-2011: B.S. - M.S., IISER Pune.
Analysis & Probability. More specifically, zeros of Gaussian processes, Laplace eigenfunctions & Harmonic functions.
Overcrowding Estimates for the Nodal Volume of Stationary Gaussian Processes [IMRN, 2023]
Almost sharp lower bound for the nodal volume of harmonic functions, with Alexander Logunov & Andrea Sartori [CPAM, 2024]
A sharp transition in zero overcrowding and undercrowding probabilities for Stationary Gaussian Processes, with Naomi Feldheim & Ohad Feldheim [Accepted in Journal d’Analyse Mathematique, arXiv]
Concentration for nodal component count of Gaussian Laplace eigenfunctions [Accepted in Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, submitted version]