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.
My CV is here.
I have two Master's students, Marvin Sigg and Yuan Xu (both expected Spring 2027).
I'm also currently organizing the Universität Zürich Topology Seminar. You can find the schedule and a list of titles and abstracts here.
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
SwissMAP Conference on Homological, quantum, and computational methods in low-dimensional topology, Les Diablerets, Switzerland, January 18-23, 2026
Minicourse on "Categorified Projectors and Colored HOMFLY Homology" in Belalp, Switzerland. September 1-4, 2025.
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).
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.
I was awarded the 2024 International Congress of Chinese Mathematicians (ICCM) Graduate Thesis Award (GTA) Silver Award for my paper Row-Column Mirror Symmetry for Colored Torus Knot Homology. Thank you to the ICCM for this honor!
Email: luke.conners@math.uzh.edu
Office: Y27K04
Address: Institute of Mathematics
University of Zurich
Winterthurerstrasse 190
CH-8057 Zurich