Mandon Pathak

Doctoral Student
Purdue University
150 N. University Street West Lafayette, IN 47907, USA.
Office: 1030, pathak30@purdue.edu

I am a Doctoral student in the Department of Mathematics at Purdue University, mentored by Prof. Victor D. Lie.

My research interests encompass classical harmonic analysis, geometric measure theory and its interplay with PDE.

In particular, my research focuses on time–frequency analysis and multilinear operators, including Bilinear Hilbert Transform, Carleson-type operators, and Radon-type transform, together with their zero and non-zero curvature analogues. A central theme is the study of concatenations and interactions of these operators across different symmetry settings.

A complementary direction of my research focuses on applications of convex integration ideas to partial differential equations and with regards to geometric measure theory I have interest in Projection theory and Fractal measures.

I also co-organize the Purdue Graduate Student Analysis Seminar. See the seminar webpage for more information: Purdue GSAS.

Find my CV here.