Milena Hering

Milena Hering

School of Mathematics
Edinburgh University
School of Mathematics
The University of Edinburgh
James Clerk Maxwell Building
The King's Buildings
Mayfield Road
Edinburgh
Scotland EH9 3JZ
Office: 5616
E-mail: m.hering@ed.ac.uk
School webpage:http://www.maths.ed.ac.uk/people/show?person=324

Research interests

Algebraic geometry and combinatorics; Toric varieties; Syzygies; Hilbert schemes. My research is supported by NSF.

Teaching

Previous Teaching.

Publications and preprints

With Benjamin Howard: The ring of evenly weighted points on the projective line.

With Diane Maclagan: The T-graph of a multigraded Hilbertscheme, Experimental Mathematics, 21:3, 280-297. The accompanying Macaulay package is available here.

With Tristram Bogart, Christian Haase, Benjamin Lorenz, Benjamin Nill, Andreas Paffenholz, Francisco Santos, Hal Schenck: Few smooth d-polytopes with N lattice point, arXiv:1010.3887, submitted.

With José González, Sam Payne and Hendrik Süβ: Cox rings and pseudoeffective cones of projectivized toric vector bundles, arXiv:1009.5238, Algebra and Number Theory, Vol. 6 (2012), No. 5, 995‒1017.

With Mircea Mustaţă and Sam Payne: Positivity for toric vectorbundles, arXiv:0805.4035, Annales de l'Institut Fourier 60 (2010), fascicule 2, 607-640.

Multigraded regularity and the Koszul property, arXiv:0712.2251, Journal of Algebra 323 (2010), 1012-1017.

My Ph.D. thesis: Syzygies of toric varieties, University of Michigan, 2006.

With Hal Schenck and Greg Smith: Syzygies, multigraded regularity and toric varieties, Compositio Math. 142 (2006), 1499-1506, arXiv:math/0502240.

With Alex Küronya and Sam Payne: Asymptotic cohomological functions of toric divisors, Advances in Mathematics, 207 (2006), no. 2, 634-645, arXiv:math/0501104.

With Jean-Charles Faugere and Jeff Phan: The Membrane Inclusion Curvature Equations, in Advances in Applied Mathematics, 31 (2003), no. 4, 643--658.

Miscellanea

The Algebraic Geometry Northeastern Series: AGNES.