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
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.
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.
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.
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.