Department of Mathematical Sciences
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Areas of Research
About the Department
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Areas of Research
Applied Analysis and Scientific Computing
Calculus 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, Director of Center for Nonlinear Analysis
 William J. Hrusa, Professor, Associate Department Head, Director of Graduate Studies
 Gautam Iyer, Associate Professor
 David Kinderlehrer, Alumni Professor of Mathematical Sciences, Professor of Materials Science and Engineering
 Giovanni Leoni, Professor
 Roy Nicolaides, Professor Emeritus
 Robert Pego, Professor
 Hayden Schaeffer, Assistant Professor
 Jack Schaeffer, Professor
 Robert F. Sekerka, University Professor of Physics and Mathematics
 Dejan Slepčev, Professor
 Shlomo Ta'asan, Professor
 Ian Tice, Assistant Professor
 Noel J. Walkington, Professor
Discrete Mathematics and Operations Research
Algebraic methods; Extremal set theory; Graph theory and Random Graphs; Matroids; Probabilistic method; Ramsey theory; Interior Point Methods for Linear Programming.
Logic
Automated theorem proving; Lambdacalculus and combinatory logic; Model theory; Semantics of programming languages; Set theory; Set Theoretic Algebra; Type theory.
Probability and Mathematical Finance
Diffusion approximations of queueing systems; Mathematical theory of finance; Stochastic control; Stochastic differential equations; Viscosity solutions of HamiltonJacobiBellman equations.

