Seminar
Local and Global Langlands Duality
Homotopy Types of Squared Grids in the Torus with the Word Metric
Fourier Analysis in Arithmetic Statistics
The local-global conjecture for Apollonian circle packings is false
Geometric Langlands Duality
Hodge theory and Cohomology of varieties
Smooth varieties are manifolds, so it makes sense to study differential forms and cycles on these varieties. Hodge theory is the study of cycles on smooth projective varieties. Calculations in Hodge theory are main computational examples in complex algebraic geometry.