CENTER FOR NONLINEAR ANALYSIS The CNA provides an environment to enhance and coordinate research and training in applied analysis, including partial differential equations, calculus of Applied Analysis & variations, numerical analysis and scientific computation. It advances research and educational opportunities at the broad interface between mathematics and Scientific Computing physical sciences and engineering. The CNA fosters networks and collaborations within CMU and with US and international institutions. Discrete Mathematics & Operations Research RANKINGS DOCTOR OF PHILOSOPHY IN ALGORITHMS, COMBINATORICS, U.S. News & World Report AND OPTIMIZATION #16 | Applied Mathematics Carnegie Mellon University offers an interdisciplinary Ph.D program in Algorithms, Combinatorics, and #7 | Discrete Mathematics and Combinatorics Optimization. This program is the first of its kind in the United States. It is administered jointly #6 | Best Graduate Schools for Logic by the Tepper School of Business (Operations Research group), the Computer Science Department (Algorithms and Complexity group), and the Quantnet Department of Mathematical Sciences (Discrete Mathematics group). #4 | Best Financial Engineering Programs Carnegie Mellon University does not CONTACT discriminate in admission, employment, or Logic administration of its programs or activities on Department of Mathematical Sciences the basis of race, color, national origin, sex, handicap or disability, age, sexual orientation, 5000 Forbes Avenue gender identity, religion, creed, ancestry, Pittsburgh, PA 15213 belief, veteran status, or genetic information. 412.268.2545 Probability & Furthermore, Carnegie Mellon University does not discriminate and is required not to Tom Bohman discriminate in violation of federal, state, or Department Head & Professor Mathematical Finance local laws or executive orders. [email protected] Inquiries concerning the application of and 412.268.2545 compliance with this statement should be directed to the university ombudsman, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, telephone 412- 268-1018. Obtain general information about Carnegie Mellon University by calling 412-268-2000. cmu.edu/math RESEARCH AREAS APPLIED ANALYSIS AND SCIENTIFIC COMPUTING LOGIC Calculus of variations, Computational Mathematics, Numerical Analysis, Lambda-calculus and combinatory logic, Model Partial Differential Equations with applications in: theory, Semantics of programming languages, Data Science | Fluid Dynamics | Imaging | Kinetic Theory | Materials Science Descriptive set theory, Large cardinals, forcing and inner models, Type theory CARNEGIE MELLON UNIVERSITY The only top 25 university founded in the 20th century, Carnegie Mellon University has rapidly evolved into an internationally recognized institution with a distinctive IRENE FONSECA WILLIAM J. HRUSA GAUTAM IYER DAVID KINDERLEHRER GIOVANNI LEONI ROBERT PEGO CLINTON CONLEY JAMES CUMMINGS RAMI GROSSBERG ERNEST RICHARD STATMAN mix of world-class Kavčić-Moura University Professor, Associate Associate Professor Alumni Professor of Professor Professor Associate Professor Professor Professor SCHIMMERLING Professor educational and research Professor of Mathematics, Department Head Mathematical Sciences, Professor programs. More than Director of Center for Professor of Materials Nonlinear Analysis Science and Engineering 8,000 undergraduate and graduate students enjoy exceptional opportunities for innovation and interdisciplinary research toward finding meaningful solutions to significant PROBABILITY AND problems of society. MATHEMATICAL FINANCE HAYDEN SCHAEFFER JACK SCHAEFFER DEJAN SLEPČEV SHLOMO TA’ASAN IAN TICE NOEL WALKINGTON FRANZISKA WEBER Diffusion approximations of queueing systems, Assistant Professor Professor Professor, Associate Professor Associate Professor Professor Assistant Professor Director of Center for Homogenization, Mathematical theory Nonlinear Analysis, Director of Graduate of finance, Stochastic control, Stochastic Studies differential equations, Viscosity solutions of Hamilton-Jacobi-Bellman equations PITTSBURGH Pittsburgh ranks in the top 10 on lists for liveability, DISCRETE MATHEMATICS AND OPERATIONS RESEARCH jobs, and affordability, including ranking among Extremal combinatorics, Probabilistic method, Random Graphs and the top 10 U.S. cities for Randomized Algorithms, Ramsey theory, Topological methods in millennials. The New York Times calls Pittsburgh “a combinatorics tech hub.” Excellence in education, healthcare, YU GU GAUTAM IYER DMITRY KRAMKOV MARTIN LARSSON culture and environment Assistant Professor Associate Professor Mellon College of Science Associate Professor lead to a #2 ranking in Professor of Mathematical Finance, Director of Center the U.S. by the Economist for Computational Finance Intelligence Unit’s report. TOM BOHMAN BORIS BUKH GÉRARD CORNUÉJOLS FLORIAN FRICK ALAN FRIEZE PO-SHEN LOH WESLEY PEGDEN JOHN P. LEHOCZKY JOHANNES AGOSTON PISZTORA STEVEN E. SHREVE TOMASZ TKOCZ Alexander M. Knaster Associate Professor IBM University Assistant Professor University Professor Associate Professor Associate Professor Professor of Statistics MUHLE-KARBE Associate Professor Orion Hoch University Assistant Professor Professor, Department Professor of Operations and Mathematics Associate Professor Professor of Head Research Mathematical Sciences.