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
