3 papers
cs.AI2026
Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry
Luoning Zhang, Xu Zhuang, Tianhao Wang +1
We study certain extremal problems in combinatorial geometry that ask about configurations of points in an grid that satisfy strict, global geometric constraints. Clas…
math.AG2025
Configurations of 10 points and their incidence varieties
Kelly Isham, Nathan Kaplan, Sam Kimport +3
Incidence varieties are spaces of -tuples of points in the projective plane that satisfy a given set of collinearity conditions. We classify the components of incidence varietie…
math.NT2024
Most subrings of have large corank
Gautam Chinta, Kelly Isham, Nathan Kaplan
If is a sublattice of index , then is a finite abelian group of order and rank at most . Several authors have studied statist…