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. As of September 2026, my work is supported by a Universität Zürich postdoc grant.
CV | Research | Teaching | Github
My student Yuan Xu defended his Master's thesis "Colored HOMFLY homology for positive two-strand torus knots" on August 12th, 2026 and is now on the market for a Ph.D. position. Congratulations, Yuan!
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 preprint Doubly-graded exponential growth of colored torus knot homology is now available on arXiv. Comments and suggestions are very welcome!
CRM Workshop on Symmetric Functions and Knot Homology, Montreal, Canada, March 30 - April 3, 2027
CNRS Topology Seminar, Paris, France, November 10, 2026
IPAM Workshop on Contact Geometry, Cluster Algebras and Skein Theory, Los Angeles, CA, October 26 - 29, 2026
UC Davis Geometry and Topology Seminar, Davis, CA, October 23, 2026
Johns Hopkins Topology Seminar, Baltimore, MD, October 19, 2026
UNC Physically Inspired Mathematics Seminar, October 2026
Quantum Topology meets Quantum Computation, Monte Verita, Switzerland, April 26 - May 1, 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).
I currently have one Master's student, 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.
Email: luke.conners@math.uzh.ch
Office: Y27K04
Address: Institute of Mathematics
University of Zurich
Winterthurerstrasse 190
CH-8057 Zurich