Tom LaGatta
Email: lagatta@math.arizona.edu
Office Phone: 520-621-6883
Office: MATH 513
Curriculum Vitae
I am most interested in mathematical questions which lie at the intersection of geometry and probability, particularly with applications to physics. My model of interest is so-called Riemannian first-passage percolation, where the usual passage times on a lattice are replaced by a random Riemannian metric on the plane. My thesis problem is to study the existence of globally length-minimizing geodesics. I am also interested in stochastic analysis on manifolds, discrete probability models, Gaussian random fields, Schramm-Loewner evolution and other topics related to probability.