The study of alternating sign matrices (ASMs) occupies a central position in enumerative combinatorics, linking intricate algebraic methods with models from statistical physics. ASMs are square ...
Statistical physics of spin systems provides a versatile framework for understanding phase transitions and critical phenomena by modelling collections of interacting discrete variables, or “spins”, ...
I use statistical physics and methods developed in theory of disordered systems to study problems in computer science, information theory, combinatorics and machine learning. I am particularly keen on ...
Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...