Quantum trace map vs quantum UV-IR map with Samuel Panitch
in preparation
Quivers and BPS states in 3d and 4d with Piotr Kucharski, Helder Larraguivel, Pietro Longhi, Dmitry Noshchenko and Piotr Sulkowski
in preparation
Skein traces from curve counting with Tobias Ekholm, Pietro Longhi and Vivek Shende
in preparation
Knot lattice homology and q-series invariants for plumbed knot complements with Rostislav Akhmechet and Peter K. Johnson
preprint [arXiv:2403.14461]
3d quantum trace map with Samuel Panitch
preprint [arXiv:2403.12850]
Branches, quivers, and ideals for knot complements with Tobias Ekholm, Angus Gruen, Sergei
Gukov, Piotr Kucharski, Marko Stošić and Piotr Sułkowski J. Geom. Phys. 177 (2022), 104520 [journal | arXiv:2110.13768]
Inverted state sums, inverted Habiro series, and indefinite theta functions
preprint
[arXiv:2106.03942]
Cobordism invariants from BPS q-series with Sergei Gukov and Pavel Putrov Ann. Henri Poincaré 22 (2021), 4173-4203 [journal | arXiv:2009.11874]
$\hat{Z}$ at large $N$: from curve counts to quantum modularity with Tobias Ekholm,
Angus Gruen, Sergei Gukov, Piotr Kucharski and Piotr Sułkowski Comm. Math. Phys. 396 (2022), 143-186 [journal | arXiv:2005.13349]
Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants with Sergei
Gukov, Po-Shen Hsin, Hiraku Nakajima, Du Pei and Nikita Sopenko J. Geom. Phys. 168 (2021), 104311 [journal | arXiv:2005.05347]
Large color R-matrix for knot complements and strange identities J. Knot Theory Ramifications 29 (2020), no. 14, 2050097 [journal | arXiv:2004.02087]
3d-3d correspondence for mapping tori with Sungbong Chun, Sergei Gukov and Nikita
Sopenko J. High Energy Phys. 09 (2020), 152 [journal | arXiv:1911.08456]
Prague Clocks with Chan Bae, John Conway, Lukas Kohlhase The Mathematical Intelligencer 38 (2016), 37 [journal]
Mathematica files
Zedhat: a Mathematica package for computation of $\hat{Z}$ for negative definite plumbed 3-manifolds (written by Nikita Sopenko in 2019)
[Zedhat package | Example usage]
Large-color R-matrix: computation of $\hat{Z}$ for braid-positive link complements, following arXiv:2004.02087
[Notebook]
Inverted state sums: computation of $\hat{Z}$ for braid-homogeneous link complements and more, following arXiv:2106.03942
[Notebook]