Research

My main research interests center on probability theory and stochastic processes, with specific emphasis on topics including Brownian motion, local time, diffusions, stochastic differential equations, stochastic partial differential equations, and random measures. Here is my Google Scholar profile.

• Pathwise structure of the three-dimensional attractive one-point interaction diffusion, submitted, 2026. arXiv 

• A dyadic construction of a three-dimensional attractive point interaction Markov family, submitted, 2026. arXiv

• Planar diffusions with a point interaction on a finite time horizon, submitted, 2026. arXiv

• Continuum polymer measures corresponding to the critical 2d stochastic heat flow (with Jeremy Clark), Commun. Math. Phys. 407, 152 (2026), arXiv

• On planar Brownian motion singularly tilted through a point potential (with Jeremy Clark), Electron. J. Probab. 30, 1-97 (2025), arXiv

• A Novel Approach to Decision Analysis Using Dominance-Based Soft Rough Sets (with Tanzeela Shaheen, Muhammad Shabir, and Feng Feng), Int. J. Fuzzy Syst. 21(4), 2019.