Ph.D. program: recommended programs The following groups of faculty have submitted recommended programs of study for the first two years of the PhD program. Algebraic Geometry Sándor Kovács, Max Lieblich Algebraic Topology Ethan Devinatz, Steve Mitchell, John Palmieri Combinatorics Sara Billey, Ioana Dumitriu, Chris Hoffman, Monty McGovern, Isabella Novik Complex Analysis Don Marshall, Steffen Rohde Differential Geometry and Partial Differential Equations Tom Duchamp, Jerry Folland, Robin Graham, Jack Lee, James Morrow, Dan Pollack, Hart Smith, John Sylvester, Tatiana Toro, Gunther Uhlmann, Yu Yuan Noncommutative Algebra S. Paul Smith, James Zhang Non-Smooth Analysis Don Marshall (Complex Analysis), Steffen Rohde (Complex Analysis & Probability), Boris Solomyak (Fractal Geometry & Ergodic Theory), Tatiana Toro (Geometric Measure Theory) Number Theory Ralph Greenberg, Neal Koblitz, William Stein Numerical Analysis Ken Bube, Ioana Dumitriu Optimization Jim Burke, Dima Drusvyatskiy, Thomas Rothvoss, Rekha Thomas Probability Chris Burdzy, Zhen-Qing Chen, Ioana Dumitriu, Chris Hoffman, Hari Narayanan, Soumik Pal, Steffen Rohde Representation Theory David Collingwood, Ronald Irving, Monty McGovern, Julia Pevtsova, S. Paul Smith