About

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 expect to graduate in May 2027, and am currently on the job market.

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 preparation.

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
to appear in Indiana Univ. Math. J., arXiv:2503.23525
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.

Talks

(upcoming) 40th Geometry Festival, in honor of F. Reese Harvey's and H. Blaine Lawson Jr.'s 85th birthdays, UMD, College Park, Maryland, USA, Apr 2--4, 2027.
Geometry & Topology Seminar, IISc, Bengaluru, India, Sep 29, 2025.

Internships

Quantum Computing Research Intern at Error Corp, June 2025 -- August 2025.
Modelled the problem of minimizing first order interaction/cross-talk errors in a 2-qubit quantum system as the differential geometry problem of identifying optimal control curves in the lie group SU(2). 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: