3 papers
math.HO2026
All Quiet on the AI Front: The Future of Undergraduate Math Research, Viewed from Duluth
Colin Defant, Eliot Hodges, Noah Kravitz
In this time of uncertainty and anxiety about artificial intelligence (AI) in mathematics, it is more important than ever to reflect on how we can prepare the next generation of pr…
math.CO2026
Sets with Few Subset Sums
Ruben Carpenter, Colin Defant, Noah Kravitz
It is a classical fact that every -element set of positive reals has at least distinct subset sums, with equality exactly for homogeneous arithmetic progressi…
math.CO2024
Mixing on Generalized Associahedra
William Chang, Colin Defant, Daniel Frishberg
Eppstein and Frishberg recently proved that the mixing time for the simple random walk on the -skeleton of the associahedron is . We obtain similar rapid mixing…