Hello! I am an Assistant Professor in Mathematics at Wake Forest University. I received my Ph.D. in mathematics from the University of Nebraska under the direction of Lucho Avramov, and did my postdoctoral work at Cornell University under the direction of Irena Peeva.

I am primarily interested in homological questions arising from commutative algebra, as well as questions in non-commutative algebra inspired by the commutative theory. I also enjoy developing software to help in experimenting with problems I am working on. See the section on software below. Below are a few neat math links, my schedule, and some of the research projects I have worked on.

**On the discriminant of twisted tensor products**

with Jason Gaddis and Ellen Kirkman

Submitted, arXiv:1606.03105, pdf

**Totally acyclic approximations **

with Petter Bergh and David Jorgensen

Submitted, arXiv:1606.07976 pdf

**Periodic free resolutions from twisted matrix factorizations**

with Tom Cassidy, Andrew Conner and Ellen Kirkman

Journal of Algebra 455 (2016), 137--163 pdf

**Finiteness conditions on the Yoneda algebra of a monomial algebra**

with Andrew Conner, Ellen Kirkman, James Kuzmanovich

Journal of Pure and Applied Algebra 218 (2014), no. 1, 52--64 pdf

**Moment-angle complexes and big Cohen-Macaulayness**

with Shisen Luo and Tomoo Matsumura

Algebraic and Geometric Topology 14 (2014), no. 1, 379--406 pdf

**Connected sums of simplicial complexes and equivariant cohomology**

with Tomoo Matsumura

Osaka Journal of Mathematics 51 (2014), no. 2, 405--423 pdf

**The vanishing of a higher codimension analog of Hochster's theta invariant**

with G. Piepmeyer, S. Spiroff and M. Walker

Mathematische Zeitschrift 273 (2013), no. 3--4, 907--920 pdf

**Connected sums of Gorenstein local rings**

with H. Ananthnarayan and L. Avramov

Crelle's Journal 667 (2012), 149--176 pdf

**Hochster's theta function and the Hodge-Riemann bilinear relations**

with G. Piepmeyer, S. Spiroff and M. Walker

Advances in Mathematics 226(2010), no. 2, 1692-1714 pdf

**Minimal intersections and vanishing (co)homology**

with D. Jorgensen

Journal of Commutative Algebra 1(2009), no. 3, 758--773 pdf

**Cohomology of fiber products of local rings**

Journal of Algebra 321(2009), no. 3, 507--536 pdf

**DGAlgebras**

A package for Macaulay2 to perform computations using DG algebras.

Most recent version here.

**NCAlgebra**

A package that allows Macaulay2 to interface with the noncommutative algebra package Bergman.

with Andrew Conner and Courtney Gibbons

Most recent version here with documentation file here.

Installation instructions here.

www.planetmath.org

Neat startup, especially cool because anyone can
contribute and it's open source.

mathworld.wolfram.com

Also cool, but not open source.

Not much here at this point, just dailysudoku.com's daily Sudoku math puzzle.

[print version] |

Visit www.dailysudoku.com for more puzzles, solutions, hints, books and other resources. |