101 citations · 245 across the 21 of their papers we have counts for
25 papers
Classifying Smooth Quot Schemes
Roy Skjelnes, Gregory G. Smith, Michael Stillman
The Quot scheme parametrizes the quotients of the trivial vector bundle of rank on -dimensional projective space th…
Algebraic network reconstruction of discrete dynamical systems
Heather A. Harrington, Mike Stillman, Alan Veliz-Cuba
We present a computational algebra solution to reverse engineering the network structure of discrete dynamical systems from data. We use monomial ideals to determine dependencies b…
Superpotentials from Singular Divisors
Naomi Gendler, Manki Kim, Liam McAllister +2
We study Euclidean D3-branes wrapping divisors in Calabi-Yau orientifold compactifications of type IIB string theory. Witten's counting of fermion zero modes in terms of the co…
Quaternary quartic forms and Gorenstein rings
Gregorz Kapustka, Michał Kapustka, Kristian Ranestad +3
A quaternary quartic form, a quartic form in four variables, is the dual socle generator of an Artinian Gorenstein ring of codimension and regularity 4. We present a classification…
Calabi-Yau threefolds in and Gorenstein rings
Hal Schenck, Mike Stillman, Beihui Yuan
A projectively normal Calabi-Yau threefold has an ideal which is arithmetically Gorenstein, of Castelnuovo-Mumford regularity four. Such ideals hav…
Learning selection strategies in Buchberger's algorithm
Dylan Peifer, Michael Stillman, Daniel Halpern-Leistner
Studying the set of exact solutions of a system of polynomial equations largely depends on a single iterative algorithm, known as Buchberger's algorithm. Optimized versions of this…