I am an Assistant Professor of Mathematics at
the
University of Notre Dame.
Department Website
Contact
- Email: akjuchuk🧅nd.edu
- Phone: +1 574 631 9585
- Office: 152A Hurley Bldg
Education
- Ph.D., Mathematics, University of Pennsylvania, PA, 2015
- M.F.A., Poetry, New York University, New York, NY, 2010
- AB, Mathematics, Harvard College, Cambride, MA, 2008
Visiting Positions
- Post-doctoral Scholar, Max Planck Institute for Mathematics - Bonn, Germany (September 2018 - March 2021)
- Van Vleck Assistant Professor (post-doc), University of Wisconsin - Madison (August 2015 - August 2018)
- Teachers & Writers Fellow (creative writing instructor), PS 110, New York City, NY (September 2010 - May 2011)
Research
My work is currently supported by NSF grant DMS-2204349.Preprints
Here's a link to my papers on the arixv.
Publications
- Coxeter quotients of knot groups through 16 crossings, Experimental Mathematics (2024). With R. Blair, N. Morrison.
- Slicing knots in definite 4-manifolds, Transactions of the American Mathematical Society (2024). With A. Miller, A. Ray, S. Sakallı.
- Brunnian exotic surface links in the 4-ball, Michigan Journal of Mathematics (2024). With K. Hayden, S. Krishna, M. Miller, M. Powell, N. Sunukjian.
- A note on three-fold branched covers of S^4, Annales de l’institut Fourier (2024). With R. Blair, P. Cahn, J. Meier.
- The bridge number of arborescent links with many twigs, Albegraic & Geometric Topology (2023). With S. Baader, R. Blair., F. Misev.
- Coxeter groups and meridional rank of links, Mathematische Annalen (2021). With S. Baader, R. Blair.
- Computing ribbon obstructions for colored knots, Fundamenta Mathematicae (2021). With P. Cahn.
- Linking numbers in three-manifolds, Discrete and Computational Geometry (2021). With P. Cahn.
- Wirtinger systems of generators of knot groups, Communications in Analysis and Geometry, (2020). With R. Blair, R. Velazquez, P. Villanueva.
- Signatures of topological branched covers, International Mathematics Research Notices (2020). With C. Geske, J.L. Shaneson.
- The dihedral genus of a knot, Algebraic and Geometric Topology (2020). With P. Cahn.
- Symmetric quotients of knot groups and a filtration of the Gordian graph, with S. Baader. Mathematical Proceedings of the Cambridge Philosophical Society (2020).
- The incompatibility of crossing number and bridge number for knot diagrams, Discrete Mathematics (2019). With R. Blair, M. Ozawa.
- Dihedral branched covers of four-manifolds, Advances in Mathematics, (2018).
Teaching
Spring 2025
- Math 10560 (Calc 2)
- Math 36800 (Intro to Research)
Stand-up
Performance
Upcoming conference appearances are listed below.
- Winterbraids XIV, February 2025, Bordeaux, France (mini-course)
- 58th Spring Topology and Dynamics Conference, March 2025, Christopher Newport University, Newport News, VA
- Trisectors Workshop, June 2025, University of Texas - Austin, TX
- Trisections and related topics, October 2025, CIRM, Luminy, France (mini course)
Some talks I gave in the past are listed here.
Facilitation
I help organize one virtual seminar and one in the flesh.
- [K-OS], a monthly online seminar on recent developments in topology
- Notre Dame Topology Seminar
Poems
Not all my verses are on the arXiv. A couple of them can be found here.