Additive Combinatorics: The Littlewood-offord Problem

Monodromy Theory

Inverse Scattering for 2D Random Potentials, a CMP 2008 paper by M. Lassas etal.

Additive Combinatorics: The Littlewood-offord Problem

Kummer theory for elluplic curves

A report on Kahler-Ricci solitons on toric manifolds with positive first chern class (by Xu-Jia Wang and Xiaohua Zhu)

Log-canonical threshold, ACC conjecture, and termination of flips (after Birkar)

On the numerical character of effectivity of adjoint bundles (after Campana, Koziarz and Paun)

When physics meets mathematics: My personal journey

Harmonic Polynomials of the Heisenberg sub-Laplacian and Dimension Analysis

Additive Combinatorics: Graph-theoretic methods

A report on Kahler-Ricci solitons on toric manifolds with positive first chern class (by Xu-Jia Wang and Xiaohua Zhu)

Monotonicity formulas for free boundary problems on manifolds

Analytic Functions on Drinfeld Upper-Half Plane (2)

Existence of Adapted Contact Structures

An Inverse Problem Arising in Photolithography

Additive Combinatorics: Graph-theoretic methods

Theta series and definite quaternion algebras

Dubrovin’s Geometry of 2D TFT

D-branes from Polchinski to Gronthendieck, D-branes probes, and birational geometry

Long-wave limit of periodic solutions of nonlinear wave equations

Numerical simulations of periodic initial-value problems

Analytic Functions on Drinfeld Upper-Half Plane

Additive Combinatorics: Graph-theoretic methods

Double Dirichlet Series Over Function Fields

Log canonical threshholds on varieties with bounded singularities (after Mustata et al)

Perelman’s W-functional and Stability of Kahler-Ricci Flow

Non-archimedean analytic functions (2)

Approximate sampling theorem for functions in Besov spaces with Splines

Additive Combinatorics: Fourier-analytic methods