Applied Mathematics

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numerical analysis, differential equations, mechanics, computational relativity.

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

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applied mathematics, partial differential equations, dynamical systems, materials sciences, mathematical biology and soft-matter physics

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numerical analysis

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mathematical biology and applied mathematics

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theoretical neuroscience, applied mathematics, stochastic processes, mathematical biology, dynamical systems, and calcium dynamics

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inverse problems and partial differential equations

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

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computational harmonic analysis, analysis of large data sets and statistical learning, bio-informatics

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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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numerical analysis, scientific computing, applied mathematics, computational physics

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analysis and partial differential equations

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dynamical systems, applied mathematics, climate science

Applied mathematics and functional analysis

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applied math, mathematical biology, mathematical neuroscience

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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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Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics

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applied math, mathematical biology, dynamical systems

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applied mathematics and modelling, optimization, imaging

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dynamical systems, partial differential equations, applied math

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partial differential equations, applied mathematics

liwang@umn.edu 
numerical analysis, scientific computing, applied analysis, kinetic theory, optimal transport, inverse problems, scientific machine learning

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Partial differential equations, mathematical physics, numerical analysis, computational physics, data science