Mathematics Research

Working Papers

48 Crepant Paths to SU(2)xSU(3), with Mboyo Esole and Monica Jinwoo Kang, 2019.

Crepant Resolutions of ℚ-Factorial Threefolds with Compound Du Val Singularities, 2018. (My undergraduate thesis)

The Geometry of G₂, Spin(7), and Spin(8)-models, with Mboyo Esole and Monica Jinwoo Kang, 2017.

Publications

Incidence Geometry in a Weyl Chamber, I: GL_n, with Mboyo Esole, Steven Glenn Jackson, and Alfred G. Noel. Advances in Applied Mathematics 119:102048, 2020.

Incidence Geometry in a Weyl Chamber, II: SL_n, with Mboyo Esole, Steven Glenn Jackson, and Alfred G. Noel. Advances in Applied Mathematics 119:102049, 2020.

A New Proof of Serre’s Homological Characterization of Regular Local Rings, with Aaron Landesman. Research in Number Theory 2:18, 2016.

A new Gal(ℚ¯/ℚ) -invariant of dessins d'enfants. Proceedings of the London Mathematical Society 111(4):911–935, 2015.

Ascent-Descent Young Diagrams and Pattern Avoidance in Alternating Permutations. Electronic Journal of Combinatorics 21(3):#P3.9, 2014.

Beyond Alternating Permutations: Pattern Avoidance in Young Diagrams and Tableaux, with Nihal Gowravaram. Electronic Journal of Combinatorics 20(4):#P13, 2013.