publications

Publications

1. 3d Mirror Symmetry of Braided Tensor Categories, w/ A. Ballin, T. Creutzig, W. Niu, arXiv:2304.11001 (2023)

2. A QFT for non-semisimple TQFT, w/ T. Creutzig, N. Garner, N. Geer, arXiv:2112.01559 (2021)

3. The ADO Invariants are a q-Holonomic Family, w/ J. Brown, S. Garoufalidis, N. Geer, arXiv:2005.08176 (2020)

4. Boundary Chiral Algebras and Holomorphic Twists, w. K. Costello, D. Gaiotto, Comm. Math. Phys. 399 (2) (2023), arXiv:2005.00083

5. Mirror symmetry and line operators, w/ N. Garner, M. Geracie, J. Hilburn, JHEP 02 (2020) 075, arXiv:1908.00013

6. (0,2) Dualities and the 4-Simplex, w/ N. Paquette, JHEP 08 (2019) 132, arXiv:1905.05173

7. 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

8. Coulomb Branches of Star-Shaped Quivers, w/ N. Garner, JHEP 02 (2019) 004, arXiv:1808.05226

9. Dual boundary conditions in 3d SCFT’s, w. D. Gaiotto, N. Paquette, JHEP 05 (2018) 060, arXiv:1712.07654

10. Vortices and Vermas, w/ M. Bullimore, J. Hilburn, D. Gaiotto, H.C. Kim, Adv. Theor. Math. Phys. 22 (2018) 803-917, arXiv:1609.04406

11. 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

12. Quantum modularity and complex Chern–Simons theory, w/ S. Garoufalidis, Commun. Num. Theor. Phys. 12 (2018) 1-52, arXiv:1511.05628

13. The Coulomb Branch of 3d N=4 Theories, w/ M. Bullimore, D. Gaiotto, Commun. Math. Phys. 354 (2017) 2, 671-751, arXiv:1503.04817

14. Complex Chern–Simons Theory at Level k via the 3d–3d Correspondence, Commun. Math. Phys. 339 (2015) 2, 619-662, arXiv:1409.0857

15. 3d-3d Correspondence Revisited, w/ H.J. Chung, S. Gukov, P. Sulkowski, JHEP 04 (2016) 140, arXiv:1405.3663

16. A Spectral Perspective on Neumann-Zagier, w/ R. van der Veen, arXiv:1403.5215

17. RG Domain Walls and Hybrid Triangulations, w/ D. Gaiotto, R. van der Veen, Adv. Theor. Math. Phys. 19 (2015) 137-276, arXiv:1304.6721

18. K-Decompositions and 3d Gauge Theories, w/ M. Gabella and A.B. Goncharov, JHEP 11 (2016) 151, arXiv:1301.0192

19. Holomorphic Blocks in Three Dimensions, w/ C. Beem, S. Pasquetti, JHEP 12 (2014) 177, arXiv:1211.1986

20. An E7 Surprise, w/ D. Gaiotto, JHEP 10 (2012) 129, arXiv:1209.1404

21. The Quantum content of the gluing equations, w/ S. Garoufalidis, Geom. Topol. 17 (2013) 1253-1316, arXiv:1202.6268

22. 3-Manifolds and 3d Indices, w/ D. Gaiotto, S. Gukov, Adv. Theor. Math. Phys. 17 (2013) 5, 975-1076, arXiv:1112.5179

23. Gauge Theories Labelled by Three-Manifolds, w/ D. Gaiotto, S. Gukov, Commun. Math. Phys. 325 (2014) 367-419, arXiv:1108.4389

24. Chern-Simons Theory and S-duality, w/ S. Gukov, JHEP 05 (2013) 109, arXiv:1106.4550

25. Quantum Riemann Surfaces in Chern-Simons Theory, Adv. Theor. Math. Phys. 17 (2013) 3, 479-599, arXiv:1102.4847

26. Vortex Counting and Lagrangian 3-manifolds, w/ S. Gukov, L. Hollands, Lett. Math. Phys. 98 (2011) 225-287, arXiv:1006.0977

27. Quantum Wall Crossing in N=2 Gauge Theories, w/ S. Gukov, Y. Soibelman, Lett. Math. Phys. 95 (2011) 1-25, arXiv:0912.1346

28. Refined, Motivic, and Quantum, w/ S. Gukov, Lett. Math. Phys. 91 (2010) 1, 1-27, arXiv:0904.1420

29. 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

30. Type IIB Flux Vacua at Large Complex Structure, JHEP 09 (2008) 064, arXiv:0806.0001

31. 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

1. 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

2. 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

3. 3d Superconformal Theories from Three-Manifolds in New Dualities of Supersymmetric Gauge Theories, J. Teschner, ed., Mathematical Physics Studies, Springer (2015), arXiv:1412.7129

4. Refined BPS invariants, Chern-Simons theory, and the quantum dilogarithm, Ph.D. Thesis, Caltech, 2010

5. 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

1.  Why do Earth’s equatorial waves head east?, w/ J. Biello, Science 358 (2017) 6366, 90-99

Conference Proceedings

1. 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)

2. 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