publications
Publications
3d Mirror Symmetry of Braided Tensor Categories, w/ A. Ballin, T. Creutzig, W. Niu, arXiv:2304.11001 (2023)
A QFT for non-semisimple TQFT, w/ T. Creutzig, N. Garner, N. Geer, arXiv:2112.01559 (2021)
The ADO Invariants are a q-Holonomic Family, w/ J. Brown, S. Garoufalidis, N. Geer, arXiv:2005.08176 (2020)
Boundary Chiral Algebras and Holomorphic Twists, w. K. Costello, D. Gaiotto, Comm. Math. Phys. 399 (2) (2023), arXiv:2005.00083
Mirror symmetry and line operators, w/ N. Garner, M. Geracie, J. Hilburn, JHEP 02 (2020) 075, arXiv:1908.00013
(0,2) Dualities and the 4-Simplex, w/ N. Paquette, JHEP 08 (2019) 132, arXiv:1905.05173
Secondary products in supersymmetric field theories, w/ C. Beem, D. Ben-Zvi, M. Bullimore, A. Neitzke, Ann. H. Poincare 21 (2020) 4, 1235-1310, arXiv:1809.00009
Coulomb Branches of Star-Shaped Quivers, w/ N. Garner, JHEP 02 (2019) 004, arXiv:1808.05226
Dual boundary conditions in 3d SCFT’s, w. D. Gaiotto, N. Paquette, JHEP 05 (2018) 060, arXiv:1712.07654
Vortices and Vermas, w/ M. Bullimore, J. Hilburn, D. Gaiotto, H.C. Kim, Adv. Theor. Math. Phys. 22 (2018) 803-917, arXiv:1609.04406
Boundaries, Mirror Symmetry, and Symplectic Duality in 3d N=4 Gauge Theory, w/ M. Bullimore, D. Gaiotto, J. Hilburn, JHEP 10 (2016) 108, arXiv:1603.08382
Quantum modularity and complex Chern–Simons theory, w/ S. Garoufalidis, Commun. Num. Theor. Phys. 12 (2018) 1-52, arXiv:1511.05628
The Coulomb Branch of 3d N=4 Theories, w/ M. Bullimore, D. Gaiotto, Commun. Math. Phys. 354 (2017) 2, 671-751, arXiv:1503.04817
Complex Chern–Simons Theory at Level k via the 3d–3d Correspondence, Commun. Math. Phys. 339 (2015) 2, 619-662, arXiv:1409.0857
3d-3d Correspondence Revisited, w/ H.J. Chung, S. Gukov, P. Sulkowski, JHEP 04 (2016) 140, arXiv:1405.3663
A Spectral Perspective on Neumann-Zagier, w/ R. van der Veen, arXiv:1403.5215
RG Domain Walls and Hybrid Triangulations, w/ D. Gaiotto, R. van der Veen, Adv. Theor. Math. Phys. 19 (2015) 137-276, arXiv:1304.6721
K-Decompositions and 3d Gauge Theories, w/ M. Gabella and A.B. Goncharov, JHEP 11 (2016) 151, arXiv:1301.0192
Holomorphic Blocks in Three Dimensions, w/ C. Beem, S. Pasquetti, JHEP 12 (2014) 177, arXiv:1211.1986
An E7 Surprise, w/ D. Gaiotto, JHEP 10 (2012) 129, arXiv:1209.1404
The Quantum content of the gluing equations, w/ S. Garoufalidis, Geom. Topol. 17 (2013) 1253-1316, arXiv:1202.6268
3-Manifolds and 3d Indices, w/ D. Gaiotto, S. Gukov, Adv. Theor. Math. Phys. 17 (2013) 5, 975-1076, arXiv:1112.5179
Gauge Theories Labelled by Three-Manifolds, w/ D. Gaiotto, S. Gukov, Commun. Math. Phys. 325 (2014) 367-419, arXiv:1108.4389
Chern-Simons Theory and S-duality, w/ S. Gukov, JHEP 05 (2013) 109, arXiv:1106.4550
Quantum Riemann Surfaces in Chern-Simons Theory, Adv. Theor. Math. Phys. 17 (2013) 3, 479-599, arXiv:1102.4847
Vortex Counting and Lagrangian 3-manifolds, w/ S. Gukov, L. Hollands, Lett. Math. Phys. 98 (2011) 225-287, arXiv:1006.0977
Quantum Wall Crossing in N=2 Gauge Theories, w/ S. Gukov, Y. Soibelman, Lett. Math. Phys. 95 (2011) 1-25, arXiv:0912.1346
Refined, Motivic, and Quantum, w/ S. Gukov, Lett. Math. Phys. 91 (2010) 1, 1-27, arXiv:0904.1420
Exact Results for Perturbative Chern-Simons Theory with Complex Gauge Group, w/ S. Gukov, J. Lenells, D. Zagier, Commun. Num. Theor. Phys. 3 (2009) 363-443, arXiv:0903.2472
Type IIB Flux Vacua at Large Complex Structure, JHEP 09 (2008) 064, arXiv:0806.0001
R. M. Fryer, J. Randall, T. Yoshida, L. L. Hsiao, J. E. Blumenstock, K. E. Jensen, T. Dimofte, R. V. Jensen, S. R. Gullans, Global Analysis of Gene Expression: Methods, Interpretation, and Pitfalls, Exp. Nephrology 10 (2002) 2, 64-74
Reviews and Workshop Lecture Notes
Derived Geometry in Twisted QFT, with W. Niu and V. Py, 2021 PIMS Summer School lecture notes, to appear in Fields Springer Monograph Alberta-Saskatchewan Lectures on Algebraic Geometry in High-Energy Physics
Perturbative and nonperturbative aspects of complex Chern–Simons theory in Localization techniques in quantum field theories, V. Pestun and M. Zabzine, ed., J. Phys. A 50 (2017) 44, 443009, arXiv:1608.02961
3d Superconformal Theories from Three-Manifolds in New Dualities of Supersymmetric Gauge Theories, J. Teschner, ed., Mathematical Physics Studies, Springer (2015), arXiv:1412.7129
Refined BPS invariants, Chern-Simons theory, and the quantum dilogarithm, Ph.D. Thesis, Caltech, 2010
Quantum Field Theory and the Volume Conjecture, w/ S. Gukov, in Chern-Simons Gauge Theory: 20 Years After, J. Andersen, ed., AMS/IP studies in advanced mathematics, Contemp. Math. 541 (2011) 41-67, arXiv:1003.4808
Commentaries
Why do Earth’s equatorial waves head east?, w/ J. Biello, Science 358 (2017) 6366, 90-99
Conference Proceedings
Duality Domain Walls in Class S[A_1], in String-Math 2013, R. Donagi, M.R. Douglas, L. Kamenova, M. Rocek, ed., Proc. Symp. Pure Math. 88 (2014)
Noncompact quantum knot invariants, in Cargese (EFS) Summer School on Theory and Particle Physics: The LHC Perspective and Beyond, L. Baulieu, J. de Boer, M.R. Douglas, E. Rabinovici, P. Windey, ed., Nucl. Phys. B Proc. Suppl. 192-193 (2009) 136-137