Probability and Stochastic Processes

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potential theory, Markov processes

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geometric and functional isoperimetric inequalities, concentration of measure and isoperimetry

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probability theory

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partial differential equations, numerical analysis, applied probability, machine learning, image processing and computer vision

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probability theory, mathematical physics

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mathematical biology and applied mathematics

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probability theory, Markov processes, interacting particle systems

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partial differential equations, probability

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applied mathematics, computational harmonic analysis, signal and image processing, data analysis

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Mathematical foundations of machine learning and data sciences, applied probability and stochastic dynamics, applied analysis and PDEs, Bayesian and computational statistics, inverse problems and uncertainty quantification

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computational complexity, cryptography, number theory, combinatorics, coding theory, analysis, probability theory, ecommerce, and economics of data networks

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random graphs, random matrices, mathematical physics, discrete harmonic analysis

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combinatorial game theory, probability theory and the ranking of NCAA football teams, math education