Part I Course Notes
Lectures on the Geometry of the Scalar Curvature


Part II Survey Papers
Modular Generalized Springer Correspondence: an Overview
The Yamabe Problem on Dirichlet Spaces
Stacks in Representation Theory
Remarks on Mirror Symmetry of Donaldson-Thomas Theory for Calabi-Yau 4-folds
On the Counting of Hitchin Bundles
Image Nonnegative Factorization: Formulation and Numerical Strategies
l-adic Realization of Some Aspects of Landau-Ginzburg β-models
The Conformal Flow of Metrics and the General Penrose Inequality
Floer Theoretic Invariants for 3- and 4-manifolds
Kodaira Dimension in Low Dimensional Topology
Counting Holomorphic Discs in K3 Surfaces
Uniqueness of Kerr Solution and Positive Mass Theorem
On Metrics that Can Be Viewed as "Localized Einstein Metrics"
Kahler Geometry, Momentum Maps and Convex Sets
Springer Correspondence for Complex Reflection Groups
Sequences Modulo One: Convergence of Local Statistics
Smooth Transonic Flows in De Laval Nozzles
Some Recent Results in CR Geometry
Backward Uniqueness for Parabolic Operators
Heat Flows with Applications