2 papers
math.AC2026
Subarrangements of type A: the weak Lefschetz property of the Artinian Orlik-Terao algebra
Nicholas Gaubatz, Hal Schenck
In 1994, Orlik and Terao introduced a commutative Artinian analog S/I(A) of the Orlik-Solomon algebra of a hyperplane arrangement A to answer a question of Aomoto. A central topic…
stat.ME2026
Unified Operator Framework for Functional and Multivariate Regression
Mark Carpenter, Nicholas Gaubatz
We develop a unified operator framework for scalar, multivariate, and functional regression based on integral operators defined with respect to general measures. Within this framew…