About

Welcome to my webpage. I am a fifth-year Ph.D. candidate in Mathematics at the University of Maryland, College Park, under the supervision of Prof. Yanir A. Rubinstein. I received my Bachelors and Masters in Mathematics from the Indian Institute of Science, Bengaluru, India, in 2021.

I am broadly interested in geometric analysis, non-linear PDE and flows, and symplectic geometry.

Books

Subequations (with Y.A. Rubinstein)
Graduate textbook, submitted to American Mathematical Society (AMS) (315pp).
A user's guide to the special Lagrangian equation (with Y.A. Rubinstein)
in preperation.

Publications & Preprints

Convexity and the degenerate special Lagrangian equation (with Y.A. Rubinstein)
preprint, 2025, arXiv:2507.17018.
Moduli of special Lagrangians with boundary, II: Lagrangian Flux and Affine Structures
preprint, 2025, arXiv:2503.23532.
Moduli of special Lagrangians with boundary, I: Unobstructed Deformations
preprint, 2025, arxiv:2503.23525, under revision at Indiana Univ. Math. J.
The Hausdorff distance and metrics on toric singularity types (with A. Aitokhuehi, B. Braiman, D. Cutler, T. Darvas, R. Deaton, P. Gupta, J. Horsley, J. Tang)
Bull. Sci. Math. (2025), Paper No. 103714, 20 pp.

Invited Talks

Geometry & Topology Seminar, IISc, Bengaluru, India, Sep 29, 2025.

Internships

Quantum Computing Research Intern at Error Corp, June 2025 - August 2025.
Formulated a signal interference problem in quantum error correction as a differential geometry problem and implemented a numerical solver in Python (JAX) to optimize control pulses, achieving a significant reduction in error rates.

Outreach

I have served as a Graduate Teaching Assistant for the following REU programs: