Special Year on Algebraic and Geometric Combinatorics

During the 2024-25 academic year the School will have a special program on Algebraic and Geometric Combinatorics. June Huh from Princeton University will be the Distinguished Visiting Professor.

Mathematical objects often have a combinatorial structure, sometimes overtly and other times in a concealed way. The special year will focus on those research that uncovers and exploit such a structure in algebra and geometry. The program will bring together active researchers from various fields, including tropical geometry, matroid theory, computational algebraic geometry, representation theory, toric geometry, Schubert geometry, and "algebra and geometry over the field of one element." Many recent breakthroughs in these areas have come from teams of mathematicians with various backgrounds spanning the above disciplines, a trend that is likely to continue. We will make a concerted effort to foster the formation of such teams throughout the year. Experimental methods using computational tools will be actively explored.

Confirmed participants: Dave Anderson, Federico Ardila, Greta Panova, Oliver Lorscheid, Mateusz Michalek, Leonardo Mihalcea, Igor Pak, Cecilia Salgado, Alan Stapledon and Liz Vivas.