University of Illinois Chicago
• Graduate Harmonic Analysis and PDEs Seminar
• Independent Study on General Relativity
Talks: • Introduction to (Lorentzian) Manifolds
• Derivation of the Einstein Field Equations
• The Schwarzschild Metric and Black Holes
• Wave Equations on Minkowski Spacetime
• Local Existence for Einstein Equations
• A Brief Survey of (Nonlinear) Wave Equations
• Mathematical Physics and Analysis Reading Group
Talks: • The Schwarzschild Metric and Black Holes (similar talk as before)
• Wave Equations on Minkowski Spacetime (similar talk as before)
• A Brief Survey of Covariant Wave Equation on Black Hole Spacetimes
• Seminar "Hydrodynamics limits of the Boltzmann equation" (with talk “The Relative Method”)
• Seminar "Optimal Transport" (with talk “Semicontinuity and convexity of energies in the Wasserstein space”)
• Seminar "Chern-Weil theory" (with talk “Lie Group”)