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analysis, scientific computation, probability, optimal control, ordinary, partial, and stochastic differential equations, and dynamical systems; and applications of mathematics to biology, finance, and
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analysis, scientific computation, probability, optimal control, ordinary, partial, and stochastic differential equations, and dynamical systems; and applications of mathematics to biology, finance, and
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theory, dynamical systems, geometry, algebra, analysis and partial differential equations, applied mathematics and numerical analysis. The Department seeks to advance its robust agenda of research
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groups in number theory, dynamical systems, geometry, algebra, analysis and partial differential equations, applied mathematics and numerical analysis. The Department seeks to advance its robust agenda
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conjecture, -- Langlands program and related problems, -- algebraic geometry and complex geometry, -- partial differential equations and in particular Navier-Stokes equations, -- stochastic analysis
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include: fluid mechanics, biomechanics, statistics and data science, computational mathematics, combinatorics, partial differential equations, stochastics and risk, algebra, geometry, topology, operator
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differential geometry and geometric analysis, algebraic geometry, symplectic geometry and topology, stochastic analysis, stochastic dynamics, stochastic partial differential equations, Hamiltonian and contact
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regression, theory-driven machine learning, large language models, and support vector machines; pertinent applied mathematics topics, such as computational mechanics, inverse analysis, partial differential
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learning, mathematical analysis, mathematics of data, modeling & simulation, multiscale methods, numerical analysis, optimization, ordinary and partial differential equations, numerical solvers, quantum
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network models. Of particular interest are candidates who have a background and/or interest in one or more of the following: optimization and optimal control (esp. optimal control of partial differential