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I am a mathematician and statistician working in probability, combinatorics, and group theory with a focus on applications in statistics and scientific computing. My research specialty includes rates of convergence of Markov chains, and I am currently interested in adapting mathematical developments to provide useful insights for practitioners involved in large real-world simulations. Over the years, my research has explored key areas such as the results regarding birth-death chains, the careful analysis of casino shuffling machines, and contributions to understanding Bose-Einstein condensation. I'm dedicated to exploring new domains within Markov chains, including quasi-stationarity and absorption considerations in genetics and biology. Alongside theoretical developments, I have engaged in statistical analyses of graph network data, revealing surprising connections between statistics and graph limit theory. I have also worked on generalizations of de Finetti's notion of exchangeability and have been involved in diverse statistical assessment projects. My teaching includes various courses throughout the academic year, guiding students through statistical methodologies and advanced mathematics.
Stanford University • Stanford, California
Professor in the Department of Statistics and Mathematics.
Cornell University • Ithaca, New York
Professor in the Department of Mathematics and ORIE.
Harvard University • Cambridge, Massachusetts
Professor in Mathematics.
AT&T Bell Laboratories • Murray Hill, New Jersey
Conducted research in statistics.
Stanford University • Stanford, California
Assistant Professor in Statistics.
The Computer Science department emphasizes research potential. GRE General is currently optional but recommended for some tracks.