Hilbert's 13th Problem and geometry

Benson Farb

The distribution of Selmer groups of elliptic curves

Arul Shankar

Four ways to diagonalize a matrix

Nikhil Srivastava

Stark's Conjectures and Hilbert's 12th Problem

Samit Dasgupta

Generalized Lambert Series

Atul Dixit

The Number of Things in Things

Saket Saurabh

On primes, almost primes and the Möbius function in short intervals

Kaisa Matomäki

Analysis on arithmetic manifolds

Valentin Blomer

Large Cardinals in Set Theory and beyond

Joan Bagaria

Positivity preservers, majorization inequalities, smooth functions: all connect to Schur polynomials

Apoorva Khare

Values taken by quadratic forms at integer points.

Anish Ghosh

The arithmetic of Hecke characters and their L-functions.

A. Raghuram

Bracket generating distributions and horizontal immersions

Mahuya Datta

Space time geometry of randomly growing interfaces

Riddhipratim Basu

Genuinely ramified maps and pullback of stable bundles

Indranil Biswas

Logic, Automata and Program Verification

Madhavan Mukund