Research

I am broadly interested in Commutative Algebra and its interactions with Algebraic Geometry. Currently I am trying to learn more about the Rees ring, Linkage, and Residual Intersections. 

RESEARCH PAPERS:

1. Visualizing the support of Kostant's weight multiplicity formula for the rank two Lie algebras, with Pamela Harris, Marissa Loving, Joseph Rennie, Gordon Rojas Kirby, Eduardo Torres Davila, and Fabrice O. Ulysse. To appear in Involve. [pdf]

2. The kernel of newform Dedekind sums, with Evuilynn Nguyen, and Matthew P. Young. J. Number Theory 223, (2021), 53-63. [pdf] 

3. Higher dimensional gap theorems for the maximum metric, with Alan Haynes, Int. J. Number Theory 17 (2021), no. 7, 1665-1670.[pdf]

WRITINGS:

1. When Undergraduate Research Work, Works! with Alex Christensen, Pamela Harris, Zakiya Jones, and Fabrice O. Ulysse. MAA FOCUS, February/March 2020, p.32-34