1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
Measuring Progress in Reasoning Toward Mathematical Discovery with Automatic Verification
Erik Y. Wang, Sumeet R. Motwani, James V. Roggeveen +9
Can AI make progress on important, unsolved mathematical problems? Large language models are now capable of sophisticated mathematical and scientific reasoning, but whether they ca…
A parametrization of -class groups of quadratic rings over Dedekind domains
Eliot Hodges, Ashvin A. Swaminathan
Let be a Dedekind domain with field of fractions and . In this paper, we generalize Bhargava's parametrization of -torsion ideal classes by…
Bender--Knuth Billiards in Coxeter Groups
Grant Barkley, Colin Defant, Eliot Hodges +2
Let be a Coxeter system, and write , where is a finite index set. Fix a nonempty convex subset of . If is of type , then $\mat…
The Distribution of Sandpile Groups of Random Graphs with their Pairings
Eliot Hodges
We determine the distribution of the sandpile group (also known as the Jacobian) of the Erdős-Rényi random graph along with its canonical duality pairing as tends to i…
On Promotion and Quasi-tangled Labelings of Posets
Eliot Hodges
In 2022, Defant and Kravitz introduced extended promotion (denoted ), a map that acts on the set of labelings of a poset. Extended promotion is a generalization of Schütz…