RESEARCH

A professor from undergrad once said to me: "Kaelyn, you're the kind of guy who could find MOST things in math interesting if they're presented to you in the right way." Looking back at it, I think that professor is correct, as I absolutely HATE pigeonholing myself mathematically. That being said, there are some branches of math I find myself gravitating to most naturally. Those branches are geometry, topology, combinatorics, and computational mathematics. These days, my favorite mathematical objects to think about are graphs, complexes, lattices, polytopes, hyperplanes, and matroids. As a result, I often think about problems in the following areas of math:

When it comes to applications, I'm most interested in machine learning, motion planning, optimization theory, and topological data analysis. Listed below are projects I have worked on, publications I have submitted, and presentations I have given.

Research Projects

CURRENT PROJECTS


PAST PROJECTS

Preprints & Publications

PREPRINTS


PUBLICATIONS

Posters, Talk Slides, & Notes

POSTERS


TALK SLIDES


TALK NOTES