Papers:
- Spin Link Homology
(joint with Elijah Bodish and Ben Elias),
preprint, 137 pp. - Bordered invariants from Khovanov homology
(joint with Matthew Hogancamp and Paul Wedrich),
preprint, 58 pp. - A Kirby color for Khovanov homology
(joint with Matthew Hogancamp and Paul Wedrich), 60 pp.
Journal of the European Mathematical Society (JEMS), DOI 10.4171/JEMS/1589. - Decreasing subsequences and Viennot for oscillating tableaux
(joint with Elijah Bodish, Ben Elias, and Logan Tatham), 19 pp.
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, DOI 10.1007/s12188-026-00295-1. - Link splitting deformation of colored Khovanov–Rozansky homology
(joint with Matthew Hogancamp and Paul Wedrich), 142 pp.
Proceedings of the London Mathematical Society, (3) 129 (2024), no. 3, Paper No. e12620. - A skein relation for singular Soergel bimodules
(joint with Matthew Hogancamp and Paul Wedrich), 47 pp.
To appear in Selecta Mathematica. - Type C Webs
(joint with Elijah Bodish, Ben Elias, and Logan Tatham),
preprint, 45 pp. - On webs in quantum type C
(joint with Logan Tatham),
Canadian Journal of Mathematics 74(3), 793–832.
For this paper, we were awarded the 2024 G. de B. Robinson Award by the CMS. - HOMFLYPT homology for links in handlebodies via type A Soergel bimodules
(joint with Daniel Tubbenhauer),
Quantum Topology, 12 (2021), no. 2, 373–410 - Categorification of the internal braid group action for quantum groups I: 2-functoriality
(joint with Michael Abram, Laffite Lamberto-Egan, and Aaron Lauda) 60 pp.
Pacific Journal of Mathematics, Vol. 328 (2024), No. 1, 1–75. - Annular Evaluation and Link Homology
(joint with Hoel Queffelec and Antonio Sartori),
preprint, 47 pp. - Sutured annular Khovanov–Rozansky homology
(joint with Hoel Queffelec),
Transactions of the AMS, 370 (2018), 1285-1319 - Deformations of colored sl(n) link homologies via foams
(joint with Paul Wedrich),
Geometry and Topology, 20 (2016), no. 6, 3431–3517 - Symmetric webs, Jones–Wenzl recursions, and q-Howe duality
(joint with Daniel Tubbenhauer),
International Mathematics Research Notices, (2016) 2016 (17): 5249-5290 - The sl(n) foam 2-category: a combinatorial formulation of Khovanov–Rozansky homology via categorical skew-Howe duality
(joint with Hoel Queffelec),
Advances in Mathematics, 302 (2016), 1251–1339 - Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
(joint with Aaron Lauda and Hoel Queffelec),
Algebraic and Geometric Topology, 15-5 (2015), pp. 2515-2606 - A categorification of quantum sl(3) projectors and the sl(3) Reshetikhin-Turaev invariant of tangles
Quantum Topology, 5 (2014), no. 1, pp. 1-59 - A note on the Grothendieck group of an additive category
Bulletin of Chelyabinsk State University, 2015. no. 3 (358). Mathematics. Mechanics. Informatics. Issue 17. pp. 135-139 (Proceedings of the International Conference “Quantum topology”)
Juvenilia:
- On the numerical range behavior under the generalized Aluthge transform
(joint with Ilya Spitkovsky),
Linear and Multilinear Algebra, vol. 56 no. 1&2 (January, 2008), pp. 163-177. - On the stabilization of the Aluthge sequence
(joint with Ilya Spitkovsky),
International Journal of Information and Systems Sciences – Special Issue on Matrix Analysis and Applications, vol. 4 no. 1 (Spring, 2008), pp. 178-189
Collaborators:
- Michael Abram
- Elijah Bodish
- Ben Elias
- Matt Hogancamp
- Laffite Lamberto-Egan
- Aaron Lauda
- Hoel Queffelec
- Antonio Sartori
- Ilya Spitkovsky
- Logan Tatham
- Daniel Tubbenhauer
- Paul Wedrich