I am a PhD candidate in the Department of Mathematics at the University of Washington, Seattle advised by Rekha Thomas. My office is C20 PDL, and I can be reached by email at cbabecki(at)uw(dot)edu. I'm graduating in Spring 2023 and will be starting a postdoc at Caltech jointly supported by the Math and CMS departments in Fall 2023.
Here are my CV and Research Statement.
Research Interests: My research interests include combinatorics, discrete geometry, optimization, graph theory, spectral graph theory, and theoretical computer science.
Teaching: In Fall 2023, I will be teaching a special topics course on Spectral Graph Theory (ACM 270) in the CMS department at Caltech. Check out my CV for my past teaching & mentorship positions.
Software: I have written some Matlab code for computing graphical designs, which you can find at my GitHub. I host a gallery of graphical designs computed using this code.
Structure and complexity of graphical designs for weighted graphs through eigenpolytopes with David Shiroma
What is... A graphical design?
In the AMS Notices, October 2022.
Graphical designs and Gale duality with Rekha Thomas. To appear in Mathematical Programming.
Codes, cubes, and graphical designs. In the Journal of Fourier Analysis and Applications, 2021.
Higher order smallest parts functions and rank-crank moment inequalities from Bailey pairs with Chris Jennings-Shaffer and Geoffrey Sangston. In Research in Number Theory, 2016.
The polyhedral structure of graphical designs.
Presented at ICERM's Combinatorics and Optimization Workshop.
Graphical designs and Gale duality.
Presented at the University of Waterloo Algebraic Graph Theory Seminar.
Codes, cubes, and graphical designs .
Presented at the University of Washington Combinatorics and Geometry Seminar.
Error correcting codes.
Presented at the University of Washington Combinatorics and Geometry Pre-Seminar.