Luke Conners

I'm a postdoctoral researcher at the Universität Zürich (UZH) Institute of Mathematics, working with Anna Beliakova. Before that, I completed my PhD in May 2025 at the University of North Carolina at Chapel Hill (UNC), under the supervision of David Rose.

I’m interested in categorification, quantum link invariants, and low-dimensional topology. My research focuses on structural and computational aspects of colored link homology. Beginning in September 2026, my work will be supported by a Universität Zürich postdoc grant.

My CV is here (last updated 7/23/26), and my research output is here.

Mentoring and Organization

I currently have two Master's students, Yuan Xu (expected August 2026) and Marvin Sigg (expected Spring 2027). I also currently organize the Universität Zürich Topology Seminar. You can find the schedule and a list of titles and abstracts here.

News

I have been awarded a UZH postdoc grant for the project "Superalgebra Link Homology" for the period September 2026 - September 2027. This work will be carried out jointly with Anna Beliakova and Eugene Gorsky.
My new preprint Doubly-graded exponential growth of colored torus knot homology is now available on arXiv. Comments and suggestions are very welcome!
My paper Fray functors and equivalence of colored HOMFLYPT homologies has been accepted for publication at Quantum Topology.

Upcoming (and recent) seminars and travel

CRM Workshop on Symmetric Functions and Knot Homology, Montreal, Canada, March 30 - April 3, 2027
IPAM Workshop on Contact Geometry, Cluster Algebras and Skein Theory, Los Angeles, CA, October 26 - 29, 2026
Quantum Topology meets Quantum Computation, Monte Verita, Switzerland, April 26 - May 1, 2026
2026 Annual Meeting of Simons Collaboration on New Structures in Low-Dimensional Topology, New York City, NY, March 26-27, 2026
University of Geneva Topology Seminar, Geneva, Switzerland, February 26, 2026
SwissMAP Conference on Homological, quantum, and computational methods in low-dimensional topology, Les Diablerets, Switzerland, January 18-23, 2026

Come say hello if you see me! Feel free to email me if you would like me to speak in your seminar series (or if you would like to go hiking before or after an upcoming event).

Contact Me

Email: luke.conners@math.uzh.ch

Office: Y27K04

Address: Institute of Mathematics

University of Zurich

Winterthurerstrasse 190

CH-8057 Zurich

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