45 citations · 160 across the 27 of their papers we have counts for
5 papers · 1 filter
Combinatorial bounds on Hilbert functions of fat points in projective space
Susan Cooper, Brian Harbourne, Zach Teitler
We study Hilbert functions of certain non-reduced schemes A supported at finite sets of points in projective space, in particular, fat point schemes. We give combinatorially define…
Bounding symbolic powers via asymptotic multiplier ideals
Zach Teitler
We revisit a bound on symbolic powers found by Ein-Lazarsfeld-Smith and subsequently improved by Takagi-Yoshida. We show that the original argument of Ein-Lazarsfeld-Smith actually…
Experimentation at the Frontiers of Reality in Schubert Calculus
Christopher Hillar, Luis Garcia-Puente, Abraham Martin del Campo +4
We describe a general framework for large-scale computational experiments in mathematics using computer resources that are available in most mathematics departments. This framework…
The Monodromy Conjecture for hyperplane arrangements
Nero Budur, Mircea Mustata, Zach Teitler
The Monodromy Conjecture asserts that if c is a pole of the local topological zeta function of a hypersurface, then exp(2πi c) is an eigenvalue of the monodromy on the cohomology o…
On the ranks and border ranks of symmetric tensors
J. M. Landsberg, Zach Teitler
Motivated by questions arising in signal processing, computational complexity, and other areas, we study the ranks and border ranks of symmetric tensors using geometric methods. We…