I am an associate professor of mathematics at UC San Diego, where my activities include research and teaching. I also serve on the editorial board of the open access journal Algebraic Combinatorics.
My current focus is on problems at the intersection of the following subjects:
While investigating the 1/N expansion of Weingarten functions, I discovered a remarkable family of enumerative invariants, monotone Hurwitz numbers, and have worked towards an understanding of their algebraic, combinatorial, and geometric properties. I am currently applying monotone Hurwitz theory to analyze the asymptotic behavior of multivariate generating series which arise naturally in combinatorics, geometry, and physics. If you are a UCSD graduate student whose interest is piqued by any of this, feel free to get in touch.
Associate Professor at UCSD
(2019 – present)
Assistant Professor at UCSD
(2015 – 2019)
Instructor at MIT
(2011 – 2015, mentored by Richard Stanley)
Postdoc at MSRI
(Fall 2010, mentored by Amir Dembo)
Postdoc at Waterloo
(2010 – 2011, supervised by Ian Goulden)
PhD Student at Queen’s
(2006 – 2010, supervised by Roland Speicher)