Themes & Topics: Algebraic Geometry, Algebraic Topology, Inverse Problems

4 lectures: Introduction to motivic categories.

4 Lectures: connectivity, homotopy t-structure and Morel's theorem on stable 0 .

2 Lectures. Motivic cohomology 

4 Lectures. K-theory, algebraic cobordism, and the slice tower

4 Lectures. Hopkins-Morel-Hoyois theorem, slices of KGL and MGL

Inverse Problems of Elliptic PDEs 

Inverse Problems of Hyperbolic PDEs 

Regularization Theory 

Computational Inverse Problems 

Numerical Analysis for PDEs

D-modules Algebraic Geometry