Mathematical & analytical work
-
An assortment of mathematical insights.
Collection of mathematical problems and anecdotes which I find particularly interesting.
-
Cycles on Metric Graphs of given Entropy.
Senior thesis, with Tarik Aogaub. Topic combines dynamics, probability, and linear algebra.
-
The Euclidean Steiner Tree Problem.
Introduction to the Steiner tree problem, along with associated algorithms.
-
Kth order Voronoi diagrams in the Hilbert metric.
With Auguste Gezalyan. Soon to be published through the Society of Computational Geometry.
-
PSG Problem Set 11.
15 creative problems written at the conclusion of the spring 2025 Haverford math club, one involving each member.
-
Predictable Behaviors of Collatz Chains.
An analysis (both theoretical and data-analytic) of various properties of Collatz cycles, beginning with a heuristic argument.
-
An Analysis of Chord Usage in Select Classical Composers.
Less mathematics used here, more data science and music theory. In-depth data analysis from chord patterns across composers.