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
Scotland EH9 3JZ
Office: 5619
Tel: 0131 650 4886
School webpage:

Research interests

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


Previous Teaching.

Publications and preprints

With Lara Bossinger, Xin Fang, Ghislain Fourier, and Martina Lanini. Toric Degeneraions of the Grassmannians Gr(2,n) via plabic graphs. An accompanying Macaulay 2 computation comparing toric degenerations of Gr(3,6) arising from plabic graphs with the tropical Grassmannian Trop Gr(3,6) is available here.

With Aldo Conca, Dan Edidin, and Cythnia Vinzant: An algebraic charaterization of injectivity in phase retrieval. arXiv:1312.0158 [math.FA].

With Benjamin Howard: The ring of evenly weighted points on the projective line, arXiv:1211.3941 [math.AG]. To appear in Mathematische Zeitschrift.

With Diane Maclagan: The T-graph of a multigraded Hilbertscheme, arXiv:1110.1861 [math.AG], Experimental Mathematics, 21:3, 280-297. The accompanying Macaulay package is available here.

With Tristram Bogart, Christian Haase, Benjamin Lorenz, Benjamin Nill, Andreas Paffenholz, Guenter Rote, Francisco Santos, Hal Schenck: Few smooth d-polytopes with N lattice point, arXiv:1010.3887 [math.AG]. To appear in Israel Journal of Mathematics.

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

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

Multigraded regularity and the Koszul property, arXiv:0712.2251 [math.AG], 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, arXiv:math/0502240 [math.AG], Compositio Math. 142 (2006), 1499-1506.

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

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


BrAG, British Algebraic Geometry meeting, first installation September 22-24, 2014.

A small video about my research, see also Research in a Nutshell.

The Algebraic Geometry Northeastern Series: AGNES.

Maxwell Colloquium on Combinatorial Algebraic Geometry.

How to get to King's Buildings. A Map to King's Buildings.
A Map of the 5th floor of JCMB.