email: paruiz (at) math.tamu.edu
I am a tenure-track Assistant Professor in the Department of Mathematics at Texas A&M. My research revolves around Analysis and Probability; in particular I am interested in the interconnections between probabilistic, analytic and geometric aspects of stochastic processes on spaces with a rough structure. Currently I am working on problems related to diffusion processes and heat kernels on metric measure spaces with fractal-like features. I also have some on-going projects that concern the study of (asymptotic) geometric properties of random geometric models featured by random fields.