Publications

Book Contributions

  • A Conversation on Meet a Mathematician and Math For All, with Padi Fuster

in Practices and Policies: Advocating For Students of Color in Mathematics, Pamela E. Harris and Aris Winger. CreateSpace 2021.

Research Publications

Published Research with Undergraduates

  • Betti numbers of weighted oriented graphs, with Beata Casiday

The Electronic Journal of Combinatorics 28(2) (2021), #P2.33


arXiv version journal version


*Beata Casiday was a high school student when we started this project. She is currently an undergrad at Yale University.

Published Research

  • Multi-Rees algebras of strongly stable ideals, with Kuei-Nuan Lin and Gabriel Sosa

to appear in Collectanea Mathematica (2022)

arXiv version journal version (coming soon!)

  • Rigid Gorenstein toric Fano varieties arising from directed graphs, with Irem Portakal and Akiyoshi Tsuchiya

Collectanea Mathematica (2022)

arXiv version journal version

  • Toric Ideals of Weighted Oriented Graphs, with Jennifer Biermann, Kuei-Nuan Lin, Augustine O’Keefe

International Journal of Algebra and Computation, Vol. 32, No. 02, pp. 307-325 (2022)

arXiv version journal version

  • Algebraic invariants of weighted oriented graphs, with Jennifer Biermann, Kuei-Nuan Lin, Augustine O’Keefe

Journal of Algebraic Combinatorics, 55, pages 461–491 (2022)

arXiv version journal version

  • Regularity of powers of edge ideals: from local properties to global bounds, with Arindam Banerjee and Tài Huy Hà

Algebraic Combinatorics, volume 3, no. 4 (2020), 839-854

arXiv version journal version

  • Regularity of edge ideals and their powers, with Arindam Banerjee and Tài Huy Hà

Advances in Algebra. SRAC 2017. Springer Proceedings in Mathematics and Statistics, vol 277. Springer, Cham

arXiv version journal version

  • Algebraic properties of toric rings of graphs, with Tài Huy Hà, and Augustine O’Keefe

Communications in Algebra, 47:1 (2019), 1-16

arXiv version journal version

  • Regularity of powers of unicyclic graphs, with Ali Alilooee and Selvaraja S

Rocky Mountain Journal of Mathematics, volume 49, no. 3 (2019), 699-728

arXiv version journal version

  • Regularity of powers of forests and cycles, with Tài Huy Hà and Trân Nam Trung

Journal of Algebraic Combinatorics, 42 (4) (2015), 1077–1095

arXiv version journal version

Submitted

  • Barile-Macchia resolutions, with Trung Chau

Submitted - arXiv version

  • On algebraic and combinatorial properties of weighted simplicial complexes

Submitted - arXiv version

In progress

  • A three regimes theorem for flow-firing, with Sarah Brauner, Galen Dorpalen-Barry, Caroline Klivans, and Lisa Schneider

  • Barile-Macchia resolutions of path ideals of paths, with Trung Chau

  • MorseResolutions M2 Package, with Trung Chau and Augustine O'Keefe