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
*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)
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)
Algebraic invariants of weighted oriented graphs, with Jennifer Biermann, Kuei-Nuan Lin, Augustine O’Keefe
Journal of Algebraic Combinatorics, 55, pages 461–491 (2022)
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
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
Algebraic properties of toric rings of graphs, with Tài Huy Hà, and Augustine O’Keefe
Communications in Algebra, 47:1 (2019), 1-16
Regularity of powers of unicyclic graphs, with Ali Alilooee and Selvaraja S
Rocky Mountain Journal of Mathematics, volume 49, no. 3 (2019), 699-728
Regularity of powers of forests and cycles, with Tài Huy Hà and Trân Nam Trung
Journal of Algebraic Combinatorics, 42 (4) (2015), 1077–1095
Submitted
A three regimes theorem for flow-firing, with Sarah Brauner, Galen Dorpalen-Barry, Caroline Klivans, and Lisa Schneider
Submitted - arXiv version
Barile-Macchia resolutions, with Trung Chau
Submitted - arXiv version
On algebraic and combinatorial properties of weighted simplicial complexes
Submitted - arXiv version
In progress
Barile-Macchia resolutions of path ideals of paths and cycles, with Trung Chau, Sara Faridi, and Kyle Wang
MorseResolutions M2 Package, with Trung Chau and Augustine O'Keefe