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Areas of Research
Applied Analysis and Scientific ComputingCalculus of variations; Oscillations, microstructure, Homogenization; Nonlinear problems related to materials; Optimal transport; Partial differential equations; Numerical analysis; Dynamics in fluids and kinetic models Irene Fonseca, Mellon College of Science University Professor of Mathematics, Discrete Mathematics and Operations ResearchAlgebraic methods; Extremal set theory; Graph theory and Random Graphs; Matroids; Probabilistic method; Ramsey theory; Interior Point Methods for Linear Programming. Egon Balas, Thomas Lord University Professor of Operations Research LogicAutomated theorem proving; Lambdacalculus and combinatory logic; Model theory; Semantics of programming languages; Set theory; Set Theoretic Algebra; Type theory. Clinton Conley, Assistant Professor Probability and Mathematical FinanceDiffusion approximations of queueing systems; Mathematical theory of finance; Stochastic control; Stochastic differential equations; Viscosity solutions of HamiltonJacobiBellman equations. Dmitry Kramkov, Mellon College of Science Professor of Mathematical Finance 