Tom LaGatta
Email: lagatta@math.arizona.edu
Office Phone: 520-621-6883
Office: MATH 513
Office Hours: MATH 513
Curriculum Vitae
I apply methods and ideas from differential geometry to problems arising from probability and statistical mechanics. My main object of study is a model of random geometry called Riemannian first-passage percolation (FPP). I modify techniques from lattice FPP to prove theorems about the global structure of this model, while exploiting the rich local structure of Riemannian geometry to obtain results not available in the discrete setting.