Publications & Preprints

Most papers are also available on the arXiv. Reverse chronological.

Peer-reviewed journal publications

1. On unification of colored annular $\mathfrak{sl}(2)$ knot homology
   with A. Beliakova, K. Putyra, S. Wehrli
   Advances in Mathematics, Vol. 468, Article 110206 (2025)
   arXiv:2305.02977 DOI
2. A Kirby color for Khovanov homology
   with D. Rose, P. Wedrich
   Journal of the European Mathematical Society, published online first (2025)
   arXiv:2210.05640 DOI
3. Link splitting deformation of colored Khovanov–Rozansky homology
   with D. Rose, P. Wedrich
   Proceedings of the London Mathematical Society, Vol. 129(3) (2024)
   arXiv:2107.09590 DOI
4. Tautological classes and symmetry in Khovanov–Rozansky homology
   with E. Gorsky, A. Mellit
   Duke Mathematical Journal, Vol. 173(13), pp. 2481–2561 (2024)
   arXiv:2103.01212 DOI
5. On the functoriality of $\mathfrak{sl}(2)$ tangle homology
   with A. Beliakova, K. Putyra, S. Wehrli
   Algebraic & Geometric Topology, 23:3, pp. 1303–1361 (2023)
   arXiv:1903.12194 DOI
6. Derived traces of Soergel categories
   with E. Gorsky, P. Wedrich
   International Mathematics Research Notices, Vol. 2022, Issue 15, pp. 11304–11400 (2022)
   arXiv:2002.06110 DOI
7. Hilbert schemes and $y$-ification of Khovanov–Rozansky homology
   with E. Gorsky
   Geometry & Topology 26, pp. 587–678 (2022)
   arXiv:1712.03938 DOI
8. The Fukaya category of the pillowcase, traceless character varieties, and Khovanov cohomology
   with M. Hedden, C. M. Herald, P. Kirk
   Transactions of the AMS 373(12), pp. 8391–8437 (2020)
   arXiv:1808.06957 AMS
9. Morphisms between categorified spin networks
   Journal of Knot Theory and Its Ramifications, Vol. 29, No. 11, 2050045 (2020)
   arXiv:1209.2732 DOI
10. Serre duality for Khovanov–Rozansky homology
    with E. Gorsky, A. Mellit, K. Nagane
    Selecta Mathematica, Vol. 25, Article 79 (2019)
    arXiv:1902.08281 DOI
11. A polynomial action on colored $\mathfrak{sl}_2$ link homology
    Quantum Topology 10, no. 1, pp. 1–75 (2019)
    arXiv:1405.2574 DOI
12. On the computation of torus link homology
    with B. Elias
    Compositio Mathematica 155(1), pp. 164–205 (2019)
    arXiv:1603.00407 DOI
13. A DG-extension of symmetric functions arising from higher representation theory
    with A. Appel, I. Egilmez, A. Lauda
    Journal of Combinatorial Algebra, Vol. 2, No. 2, pp. 169–214 (2018)
    arXiv:1704.00713 DOI
14. Categorified Young symmetrizers and stable homology of torus links
    Geometry & Topology 22, pp. 2943–3002 (2018)
    arXiv:1505.08148 DOI
15. Categorified Young symmetrizers and stable homology of torus links II
    with M. Abel
    Selecta Mathematica, Vol. 23, pp. 1739–1801 (2017)
    arXiv:1510.05330 DOI
16. An exceptional collection for Khovanov homology
    with B. Cooper
    Algebraic & Geometric Topology 15, pp. 2659–2706 (2015)
    arXiv:1209.1002 DOI
17. $SO(3)$ homology of graphs and links
    with V. Krushkal, B. Cooper
    Algebraic & Geometric Topology 11, pp. 2137–2166 (2011)
    arXiv:1012.3672 DOI

Accepted for publication

1. Categorical diagonalization of full twists
   with B. Elias
   Duke Mathematical Journal (accepted, 2024)
   arXiv:1801.00191

Preprints

1. Stable deformed $\mathfrak{gl}_N$ homology of torus knots
   with W. Ballinger, E. Gorsky, J. Wang · 2025
   arXiv:2507.00175
2. Envelopes and the bar complex
   2024
   arXiv:2501.00122
3. Drinfeld centralizers and Rouquier complexes
   with B. Elias · 2024
   arXiv:2412.20633
4. Khovanov–Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line
   with C. Caprau, N. Gonzalez, M. Mazin · 2024
   arXiv:2407.18123
5. Bordered invariants from Khovanov homology
   with D. Rose, P. Wedrich · 2024
   arXiv:2404.06301
6. A skein relation for singular Soergel bimodules
   with D. Rose, P. Wedrich · 2021
   arXiv:2107.08117
7. Constructing categorical idempotents
   2019
   arXiv:2002.08905
8. Homological perturbation theory with curvature
   2019
   arXiv:1912.03843
9. Torus link homology
   with A. Mellit · 2019
   arXiv:1909.00418
10. Ext-enhanced monoidal Koszul duality for $GL(2)$
    with S. Makisumi · 2019
    arXiv:1903.00461