Professor Federico Ardila

Federico Ardila

Chair in Combinatorics

School of Mathematical Sciences
Queen Mary University of London
www.fardila.com
Centre for Combinatorics, Algebra and Number Theory
ORCID

Research

combinatorics, geometry, polytopes, matroids

Interests

Federico's research lies at the intersection of combinatorics, algebra, and geometry. He studies the connections between these areas, and the ways they learn from each other's philosophies and techniques.

In matroid theory, tropical geometry, combinatorial Hodge theory, and intersection theory, Federico and his coauthors have contributed foundational constructions and results, and proved decades' old conjectures. In polyhedral geometry, they have constructed important families of polytopes, elucidated their structure, understood various ways of measuring them, and used them to derive algebraic, geometric, and physical consequences.

In all his professional endeavors, Federico works towards fostering an increasingly just, equitable, and welcoming community of mathematicians that benefits from our differences and serves the needs of all communities.