Brent Holmes

University of Kansas — United States

Mathematics · Physical Sciences

2h-index9citations8works0.02yr avg
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Research Topics

Commutative Algebra and Its Applications(8), Algebraic structures and combinatorial models(4), Algebraic Geometry and Number Theory(2), Homotopy and Cohomology in Algebraic Topology(2), Advanced Combinatorial Mathematics(2)

Publications8 total

Rank Selection and Depth Conditions for Balanced Simplicial Complexes
The Electronic Journal of Combinatorics·2021· 1 citedOpen Access
Higher nerves of simplicial complexes
Algebraic Combinatorics·2019Open Access
A generalized Serre’s condition
Communications in Algebra·2019· 1 citedOpen Access
Serre's Condition and Depth of Stanley-Reisner Rings
KU ScholarWorks (The University of Kansas)·2018Open Access
On the Diameter of Dual Graphs of Stanley-Reisner Rings and Hirsch Type Bounds on Abstractions of Polytopes
The Electronic Journal of Combinatorics·2018· 4 citedOpen Access
Serre's Condition, Balanced Simplicial Complexes, and Higher Nerves
arXiv (Cornell University)·2018Open Access
Higher Nerves of Simplicial Complexes
arXiv (Cornell University)·2017· 1 citedOpen Access
On the diameter of dual graphs of Stanley-Reisner rings with Serre $(S_2)$ property and Hirsch type bounds on abstractions of polytopes
arXiv (Cornell University)·2016· 2 citedOpen Access

Frequent Co-authors

Justin Lyle(4), Hailong Dao(2), Joseph Doolittle(2), Ken Duna(2), Bennet Goeckner(2)