Pratyush Potu

Department of Applied Mathematics, Brown University

Email: pratyush_potu [at] brown [dot] edu

I am a fourth year graduate student at Brown University, advised by Johnny Guzmán.

I work on numerical methods for partial differential equations.

Here is my CV (updated Jan 2026) and Google Scholar.

Publications and preprints

A. Ern, J. Guzmán, PP and M. Vohralík, Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants, IMA J. Numer. Anal., to appear (2026) [hal] [arXiv] [doi]
A. Ern, J. Guzmán, PP and M. Vohralík, Local L²-bounded commuting projections using discrete local problems on Alfeld splits Found. Comput. Math., to appear (2026) [hal] [arXiv]
J. Guzmán and PP, A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms [arXiv]
J. Guzmán, A. N. Hirani, B. Liu, and PP, Discrete Poincare and Bogovskii operators on cochains and Whitney forms [arXiv]

Talks

AMS Spring Eastern Sectional Meeting, Boston College, Boston, MA, Mar. 2026
Finite Element Circus, George Mason University, Arlington, VA, Oct 2025
IMSI Workshop on Discrete Exterior Calculus (Poster), Chicago, IL, Sep. 2025
SIAM Conference on Computational Science and Engineering (CSE25), Fort Worth, TX, Mar. 2025
AMS Spring Eastern Sectional Meeting, Hartford, CT, Apr. 2025
Finite Element Circus, Oakland University, Rochester, MI, Apr. 2025

Teaching