On numerical semigroup elements and the $\ell_0$- and $\ell_\infty$-norms of their factorizations

Authors: Cyrusian, Sogol, Domat, Alex, O'Neill, Christopher, Ponomarenko, Vadim, Ren, Eric, Ward, Mayla

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2503.12241

Betti elements and full atomic support in rings and monoids

Authors: Chapman, Scott T., García-Sánchez, Pedro, O'Neill, Christopher, Ponomarenko, Vadim

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2502.17895

Some asymptotic results on $p$-lengths of factorizations for numerical semigroups and arithmetical congruence monoids

Authors: Chapman, Spencer, Dugan, Eli B., Gaskari, Shadi, Lycan, Emi, De La Cruz, Sarah Mendoza, O'Neill, Christopher, Ponomarenko, Vadim

Subject Terms: Mathematics - Commutative Algebra, Mathematics - Combinatorics

Access URL: http://arxiv.org/abs/2411.17010

Numerical semigroups from rational matrices II: matricial dimension does not exceed multiplicity

Authors: Chhabra, Arsh, Garcia, Stephan Ramon, O'Neill, Christopher

Subject Terms: Mathematics - Combinatorics

Access URL: http://arxiv.org/abs/2407.15571

Infinite free resolutions over numerical semigroup algebras via specialization

Authors: Gomes, Tara, O'Neill, Christopher, Sobieska, Aleksandra, Dávila, Eduardo Torres

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2405.01700

Families of numerical semigroups and a special case of the Huneke-Wiegand conjecture

Authors: Landeros, Miguel, O'Neill, Christopher, Pelayo, Roberto, Peña, Karina, Ren, James, Wissman, Brian

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2404.12519

Perspicacious $l_p$ norm parameters

Authors: O'Neill, Christopher, Ponomarenko, Vadim, Ren, Eric

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2404.02310

Counting edges in factorization graphs of numerical semigroup elements

Authors: Moschetti, Mariah, O'Neill, Christopher

Subject Terms: Mathematics - Combinatorics, Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2401.06912

Numerical semigroups, polyhedra, and posets IV: walking the faces of the Kunz cone

Authors: Brower, Cole, McDonough, Joseph, O'Neill, Christopher

Subject Terms: Mathematics - Combinatorics, Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2401.06025

The structure theorem for sets of length for numerical semigroups

Authors: Moskowitz, Gilad, O'Neill, Christopher

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2311.05786

Atomic density of arithmetical congruence monoids

Authors: Olsson, Nils, O'Neill, Christopher, Rawling, Derek

Subject Terms: Mathematics - Number Theory, Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2310.07924

Minimal free resolutions of numerical semigroup algebras via Ap\'ery specialization

Authors: Braun, Benjamin, Gomes, Tara, Miller, Ezra, O'Neill, Christopher, Sobieska, Aleksandra

Source: Pacific J. Math. 334 (2025) 211-231

Subject Terms: Mathematics - Commutative Algebra, Mathematics - Combinatorics, 20M14, 13D02, 52B05 (Primary), 05E40, 13F20, 13F65 (Secondary)

Access URL: http://arxiv.org/abs/2310.03612

On faces of the Kunz cone and the numerical semigroups within them

Authors: Borevitz, Levi, Gomes, Tara, Ma, Jiajie, Niergarth, Harper, O'Neill, Christopher, Pocklington, Daniel, Stolk, Rosa, Wang, Jessica, Xue, Shuhang

Subject Terms: Mathematics - Combinatorics, Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2309.07793

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Numerical semigroups via projections and via quotients

Authors: Bogart, Tristram, O'Neill, Christopher, Woods, Kevin

Subject Terms: Mathematics - Commutative Algebra, Mathematics - Combinatorics

Access URL: http://arxiv.org/abs/2306.11564

When is a numerical semigroup a quotient?

Authors: Bogart, Tristram, O'Neill, Christopher, Woods, Kevin

Subject Terms: Mathematics - Commutative Algebra, Mathematics - Combinatorics

Access URL: http://arxiv.org/abs/2212.08285

Convexity in (colored) affine semigroups

Authors: De Loera, Jesus A., O'Neill, Christopher, Wang, Chengyang

Subject Terms: Mathematics - Commutative Algebra, Mathematics - Combinatorics, 20M14, 52A01, 52A37

Access URL: http://arxiv.org/abs/2212.02452

Graver bases of shifted numerical semigroups with 3 generators

Authors: Howard, James, O'Neill, Christopher

Subject Terms: Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2212.02373

Enumerating numerical sets associated to a numerical semigroup

Authors: Chen, April, Kaplan, Nathan, Lawson, Liam, O'Neill, Christopher, Singhal, Deepesh

Subject Terms: Mathematics - Combinatorics, Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2211.17090

On the cardinality of minimal presentations of numerical semigroups

Authors: Elmacioglu, Ceyhun, Hilmer, Kieran, O'Neill, Christopher, Okandan, Melin, Park-Kaufmann, Hannah

Subject Terms: Mathematics - Combinatorics, Mathematics - Commutative Algebra

Access URL: http://arxiv.org/abs/2211.16283