Max Wakefield

Research

My work has focused on combinatorial, algebraic, and geometric aspects of hyperplane arrangements. I am interested in understanding the basic foundations of arrangement theory through theory and computation. I enjoy using Macalauy 2 and sage.

  • Here you can find my CV.

Here is a list of my papers:

Derivations of an effective divisor on the complex projective line, Trans. Amer. Math. Soc. 359 (2007), 4389-4403. (with S. Yuzvinsky) 

The characteristic polynomial of a multiarrangement, Adv. Math. 215 (2007), 825-838. (with T. Abe and H. Terao) 

The Euler multiplicity and addition-deletion theorems for multiarrangements, J. London Math. Soc.(2) 77 (2008), no. 2, 335--348. (with T. Abe and H. Terao) 

The Jacobian ideal of a hyperplane arrangement, Math. Res. Let. 15 (2008), no. 4,795-799. (with M. Yoshinaga)

Pascal arrangements, Proc. Amer. Math. Soc. 139 (2011), no. 12, 4461Ñ1§766. (with Matthew Miller)

Derivation radical subspace arrangements, J. Pure Appl. Algebra, 215 (2011), no. 6, 1492–-1501. (with William Traves)

Edge colored hypergraphic subspace arrangements, to appear in Pure Appl. Math. Q., 8 (2012), no. 3, 757-–779. (with Matthew Miller)

Local cohomology of logarithmic forms on complements of hyperplane arrangements, Annales de l Institut Fourier,  63 no. 3 (2013), p. 1177--1203 . (with Graham Denham, Hal Schenck, Mathias Schulze, and Uli Walther)

Skeleton Simplicial Evaluation Codes, Des. Codes Cryptogr. 72 (2014), no. 3,609–625. (with James Berg)

Equivalence classes of Latin squares and nets in $\mathbb{CP}^2$, t Ann. Fac. Sci. Toulouse Math. (6) 23 (2014), no. 2, 335–351. (with Corey Dunn, Matthew Miller, and Sebastian Zwicknagl)

Limits with braid arrangements, submitted, arXiv:1211.5678. (with Matthew Miller)

The Bonanhon metric, in preparation. (with Mark Kidwell, Mark Meyerson, and David Ruth)

The enumerative geometry of hyperplane arrangements, aubmitted. (with Thomas Paul and Will Traves)

Combinatorics of the cohomology of $k$-equal arrangements, in preparation. (with Matthew Miller)

The Kazhdan-Lusztig polynomial of a matroid, to apear in Adv. in Math. (with Ben Elias and Nick Proudfoot)

Intersection cohomology pf the symmetric reciprocal plane J. Algebraic Combin. 43 (2016), no. 1, 129–138. (with Nick Proudfoot and Ben Young)

Partial flag incidence algebras, submitted.

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