orcid and arxiv

Dimer/ghor algebras:

• Global dimensions of local geodesic ghor algebras,

with Karin Baur, submitted, 20 pp. arxiv

• A generalization of cancellative dimer algebras to hyperbolic surfaces,

with Karin Baur, submitted, 26 pp. arxiv

• The central nilradical of nonnoetherian dimer algebras,

Journal of Pure and Applied Algebra, 229(10), 2025. doi.org/10.1016/j.jpaa.2025.108052 journal (open)/arxiv

• Dimer algebras, ghor algebras, and cyclic contractions,

Algebras and Representation Theory, 27:547-582, 2024. doi:10.1007/s10468-023-10224-y journal (open)/arxiv

• Examples of geodesic ghor algebras on hyperbolic surfaces,

with Karin Baur, AMS Contemporary Mathematics: Representations of Algebras, Geometry and Physics, 769, 2021. doi:10.1090/conm/769/15414 journal/arxiv

• Noetherian criteria for dimer algebras,

Journal of Algebra, 585:294-315, 2021.  doi:10.1016/j.jalgebra.2021.05.012 journal/arxiv

• On the central geometry of nonnoetherian dimer algebras, 

Journal of Pure and Applied Algebra, 225(8), 2021. doi:10.1016/j.jpaa.2020.106590 journal/arxiv

• Cyclic contractions of dimer algebras always exist,

Algebras and Representation Theory, 22:1083-1100, 2019. doi:10.1007/s10468-018-9812-6 journal (open)/arxiv

• Nonnoetherian homotopy dimer algebras and noncommutative crepant resolutions,

Glasgow Mathematical Journal, 60(2):447-479, 2018. doi:10.1017/S0017089517000209 journal (open)/arxiv

• Morita equivalences and Azumaya loci from Higgsing dimer algebras,

Journal of Algebra, 453:429-455, 2016. doi:10.1016/j.jalgebra.2015.11.052 journal (open)/arxiv

• On the noncommutative geometry of square superpotential algebras,

Journal of Algebra, 371:207-249, 2012. doi:10.1016/j.jalgebra.2012.07.051​ journal (open)/arxiv

• Cancellativization of dimer models,

with A. Ishii and K. Ueda, 16 pp. arxiv

Nonnoetherian algebraic geometry:

• Nonnoetherian singularities and their noncommutative blowups,

Journal of Noncommutative Geometry, 17(2):469-498, 2023. doi:10.4171/JNCG/495 journal (open)/arxiv

• Nonnoetherian coordinate rings with unique maximal depictions,

Communications in Algebra, 46:2635-2647, 2018. doi:10.1080/00927872.2017.1392533 journal (open)/arxiv

• Nonnoetherian geometry,

Journal of Algebra and Its Applications, 15(09), 2016. doi:10.1142/S0219498816501760 journal (open)/arxiv 

(Previously ranked #1 on the journals ‘Most Read’ list.)

• Nonnoetherian coordinate rings of intersecting one-dimensional points, 

in preparation.

Nonnoetherian (= quantum-like = 'internal') spacetime:

• A derivation of the first generation particle masses from internal spacetime,

International Journal of Geometric Methods in Modern Physics, to appear. doi.org/10.1142/S0219887825503050 journal/OSF/arxiv

• Spacetime geometry of spin, polarization, and wavefunction collapse,

Journal of Geometry and Physics, 195, 2024. doi.10.1016/j.geomphys.2023.105026 journal (open)/OSF/arxiv

• A derivation of the standard model particles from internal spacetime,

International Journal of Geometric Methods in Modern Physics, 20(10), 2023. doi:10.1142/S0219887823501657 journal/arxiv

• A combinatorial derivation of the standard model interactions from the Dirac Lagrangian,

International Journal of Geometric Methods in Modern Physics, 20(11), 2023. doi:10.1142/S0219887823501827 journal/arxiv

• The Bell states in noncommutative algebraic geometry,

International Journal of Quantum Information, 12(5), 2014. doi:10.1142/S0219749914500336 journal (open)/arxiv 

(Previously ranked #2 on the journals ‘Most Read’ list.)

• On the spacetime geometry of quantum nonlocality,

revising. arxiv

• An internal spacetime model of hadrons,

in preparation.

Thesis (partial):

• The geometry of noncommutative singularity resolutions,

42 pp. arxiv