Marcel Celaya

Email: mcelaya@gatech.edu
Office: Skiles 142

Picture of Marcel

I am a fifth year mathematics Ph.D. student in the Algorithms, Combinatorics, and Optimization program at Georgia Tech in Atlanta, USA, working under the supervision of Josephine Yu. Previously, I completed an M.Sc. at McGill University in Montreal, Canada in 2014 under the supervision of Bruce Shepherd. I received my B.Sc. at the University of Victoria in Victoria, Canada in 2012.

My research is primarily in combinatorics and discrete geometry. I am particularly interested in matroids, oriented matroids, tropical geometry, convex geometry, polytopes, and lattices. I am also interested in the interplay between these topics and other areas of mathematics.

Teaching

Math 4580 - Linear programming (Spring 2019)
Math 3012 - Applied Combinatorics (Summer 2018)
Math 3012 - Applied Combinatorics (Spring 2018)
Math 3012 - Applied Combinatorics (Summer 2017)
Math 2550 - Introduction to Multivariable Calculus (Fall 2016)
Math 3012 - Applied Combinatorics (Summer 2016)

Papers

A chirotope-based proof of the Bohne-Dress theorem. (slides, in preparation) (2018)
The real Bergman fan of an oriented matroid. (preprint) (2018)
On the linear span of lattice points in a parallelepiped. Combinatorica (2017)
Reconfiguring k-colourings of Complete Bipartite Graphs (with K. Choo, G. MacGillivray, and K. Seyffarth). Kyungpook Math. J. (2016)
Morphic words and nested recurrence relations (with F. Ruskey). arXiv: 1307.0153 (2013)