Research

Research Interests

• Geometric Group Theory, Analysis on Metric Spaces

• Combinatorial and Algorithmic Methods to Solve Problems in Algebra

• Optimization Theory

Publications

1. On zero-divisors and units in group rings of torsion-free CAT(0) groups (with Igor Mineyev), Arxiv preprint 2025.

2. SF-SFD: Stochastic Optimization of Fourier Coefficients to Generate Space-Filling Designs (with T. Chang and K. Raghavan) In 2023 Winter Simulation Conference (WSC), pp. 3636-3646. IEEE, 2023.

3. Pseudo Orthogonal Latin Squares (with  S. Faruqi, S. A. Katre),  Discrete Mathematics and Applications, vol. 31, no. 1, 2021, pp. 5-17. 

Published Mathematica Demonstrations*

1. Riemann's Almost Nowhere Differentiable Function

2. The Non-differentiable Functions of Weierstrass 

*All demonstrations were peer-reviewed before being published.