Frank Moore's Web Page

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.

Personal information

Curriculum Vita

Papers

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

Software

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.

Schedule

Math Links

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.

www.commalg.org

Macaulay2 Home page

Math Fun

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.