postdoctoral faculty at the University of Nebraska, Lincoln
PhD from UC Berkeley, advised by David Eisenbud
e-mail: lheller2@unl.edu
office: Avery 328
Department of Mathematics
University of Nebraska, Lincoln
210 Avery Hall
1144 T St
Lincoln, NE 68588
interested in commutative algebra with geometric applications
multigraded regularity, virtual resolutions, Cox rings, toric varieties
Regularity of powers of multigraded ideals
Tate resolutions for toric varieties
Variations of toric stratifications
Characterizing multigraded regularity on products of projective spaces
Cohen-Macaulay modules for toric varieties
Cox rings beyond toric varities
Boij-Söderberg theory
Virtual resolutions and multigraded regularity
Examples of stable reduction
An overview of Bertini-type theorems
Moduli problems and Hilbert schemes
Moduli spaces of toric vector bundles
Examples of big and nef divisors, boundedness of base loci, and Zariski decomposition
Quotients of groupoid schemes in characteristic \(p\)
Phaseless retrieval from magnitude of frame coefficients in \(\mathbb{R}^n\)