Publications
Computing Rational Powers of Monomial Ideals, Pratik Dongre, Benjamin Drabkin, Josiah Lim, Ethan Partida, Ethan Roy, Dylan Ruff, Alexandra Seceleanu, Tingting Tang. Journal of Symbolic Computation, 2023. doi.org/10.1016/j.jsc.2022.08.018.
Undergraduate Research Experiences
Mathematical Optimization Approaches to Radiation Therapy Treatments of Brain Metastases
Mentors: David Papp, Maria Macaulay.
Ideated and tested large-scale, mixed integer optimization models that assessed the benefits of non-uniformly fractionated treatment plans.
Line Solitons in the Kadomstev-Petviashvili Equations
Brown University
Mentor: Justin Holmer
Coded numerical simulations to investigate the stability of line solitons in KP equations.
Real Power of Monomial Ideals
Polymath Jr. REU 2020
Mentors: Alexandra Seceleanu, Benjamin Drabkin, Tingting Tang.
Designed 3 algorithms that compute the real power of monomial ideals and implemented in Macaulay2.
Class Projects
Knot (dis)equivalence by knot-coloring
15-min lesson on distinguishing between knots using knot-coloring. With Alexander Ivanov.
Topology, Fall 2020.

Pattern Formation in Sandpile Models
Used computer simulations to investigate symmetries and stability of sandpile avalanches.
Applied Dynamical Systems, Spring 2020.

Connect 4
Terminal based game of Connect 4, written in ReasonML. Players can be Human or AI. Joint-winner of the class' AI tournament. With Will Chen.
Computer Science: An Integrated Introduction, Fall 2019.
Course Material
Vector Calculus Solutions Guide
Full homework solutions for Honors Calculus (MATH 0350, Spring 2021) at Brown University. Available to Brown instructors/TA on request.
Textbook: Vector Calculus (6th Ed), Marsden & Tromba.