Relevant graduate coursework completed at MIT:
18.905 Algebraic Topology I
18.745 Lie Algebra
18.705 Commutative Algebra
18.155/156 Differential Analysis I/II
18.157 Microlocal Analysis
18.965/966 Geometry of Manifolds I/II
18.435/436 Quantum Computation/Quantum Information Theory
18.335/336 Numerical Analysis/ Modern Numerical Methods for PDE
18.137 Topics in Geometric PDE (Covering recent advances in entropy methods for MCF)
18.158 Topics in Differential Equations (Covering advances in level sets of solutions to elliptic eq.)
Relevant graduate coursework at USC:
MATH 525A Real Analysis I
MATH 507A Probability I
MATH 555A Theory of Partial Differential Equations I
MATH 541A Statistics I
MATH 555B Theory of Partial Differential Equations II
MATH 520 Complex Analysis
MATH 605 Topics in Probability (Introduction to SPDEs)