3 papers
cs.LG2026
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra
Giorgi Butbaia, Paul Orland, Coco Huang +7
Applying machine learning techniques to solving long-standing mathematical conjectures can be particularly challenging due to their extreme reward sparsity. As an illustrative exam…
math.AC2025
Syzygies of the residue field over Golod rings
Doan Trung Cuong, Hailong Dao, David Eisenbud +3
Let be a Golod ring. We show a recurrent formula for high syzygies of interms of previous ones. In the case of embedding dimension at most , we provided complete d…
math.AG2025
Hyperelliptic curves and Ulrich sheaves on the complete intersection of two quadrics
David Eisenbud, Frank-Olaf Schreyer
Using the connection between hyperelliptic curves, Clifford algebras, and complete intersections of two quadrics, we describe Ulrich bundles on and construct some of minima…