Frank Moore's Web Page
Hello! I am an Associate 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.
