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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.CO2026
On the number of permutation-twisted dot products
Ruben Carpenter, Colin Defant, Noah Kravitz
Let be a field of characteristic . For each choice of distinct and distinct , consider the sum $S=\…