![Phanuel Mariano, associate professor of Mathematics](/sites/default/files/styles/medium/public/mathematics/202009/phanuel-mariano.jpg?itok=uaGQxxd5)
Phanuel Mariano
Research interests
My research lies at the intersection of probability, geometry and analysis. In particular, I am interested in using probabilistic tools to solve problems in analysis in a geometric setting. One example of a probabilistic tool used in my research involves the coupling of stochastic processes. I have also been interested in applying probabilistic techniques in proving inequalities for the expected lifetime of diffusion processes and the first Dirichlet eigenvalue of a domain. One can think of the first Dirichlet eigenvalue as the fundamental frequency of a drum. These inequalities often show the beautiful connection between probability, analysis and physics.
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Academic credentials
B.A., Western Connecticut State University; M.S., University of Connecticut; Ph.D., University of Connecticut![Bailey Hall](/sites/default/files/styles/contact/public/mathematics/201903/bailey-hall.jpg?itok=QHBlyEQt)
Bailey Hall 202
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