Research Interests

My current mathematical interests are in the intersection of geometry and stochastic analysis. Recently I've beeen working on using coupling to prove functional inequalities. My undergraduate research was in Coarse Geometry. Coarse Geometry is the study of metric spaces from a large scale perspective rather than the small scale perspective as done in topology. Coarse Geometry was found useful in obtaining partial results to the Novikov Conjecture and the Baum–Connes Conjecture.

Papers

Sayan Banerjee, Maria Gordina, Phanuel Mariano, Coupling in the Heisenberg group and its applications to gradient estimates.(2016) arXiv

Phanuel Mariano, On the Coarse Geometry of Lp, Rose-Hulman Undergraduate Math Journal Vol. 14 , No. 2 (2013)

Talks