## Research papers

### Published and accepted for publication

Symmetry protected topological phases and generalized cohomology. With Davide Gaiotto.

*Journal of High Energy Physics.*May 2019. (abstract, arXiv: 1712.07950, DOI: 10.1007/JHEP05(2019)007.)The Moonshine Anomaly.

*Communications in Mathematical Physics*. February 2019, Volume 365, Issue 3, pp 943–970. (abstract. DOI: 10.1007/s00220-019-03300-2. Published PDF available at https://rdcu.be/bjHMt. arXiv:1707.08388.)H

^{4}(Co_{0};**Z**)=**Z**/24. With David Treumann.*International Mathematics Research Notices*(2018). (abstract. DOI: 10.1093/imrn/rny219. arXiv: 1707.07587.)How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism. With Owen Gwilliam.

*Topology and quantum theory in interaction*, 175–185, Contemp. Math., 718, Amer. Math. Soc., Providence, RI, 2018. (abstract. AMS bookstore. arXiv: 1202.1554.)Spin, statistics, orientations, unitarity.

*Algebraic & Geometric Topology*17 (2017) 917–956. (abstract, arXiv: 1507.06297, DOI: 10.2140/agt.2017.17.917.)(Op)lax natural transformations, twisted field theories, and the "even higher" Morita categories. With Claudia Scheimbauer.

*Advances in Mathematics*, 307 (2017) 147–223. (abstract, arXiv: 1502.06526, DOI: 10.1016/j.aim.2016.11.014.)The quaternions and Bott periodicity are quantum Hamiltonian reductions.

*Symmetry, Integrability and Geometry: Methods and Applications*, 12 (2016), 116, 6 pages. (abstract, arXiv: 1603.06603, DOI: 10.3842/SIGMA.2016.116.)Tree- versus graph-level quasilocal Poincaré duality on

*S*^{1}.*Journal of homotopy and related structures*, June 2016, Volume 11, Issue 2, pp 333–374. (abstract, arXiv: 1412.4664, DOI: 10.1007/s40062-015-0110-2.)Homological perturbation theory for nonperturbative integrals.

*Letters in Mathematical Physics*, November 2015, Volume 105, Issue 11, pp 1605–1632. (abstract, arXiv: 1206.5319, DOI: 10.1007/s11005-015-0791-9.)Reflexivity and dualizability in categorified linear algebra. With Martin Brandenburg and Alexandru Chirvasitu.

*Theory and Applications of Categories*, Vol. 30, No. 23, 2015, pp. 808–835. (abstract, arXiv: 1409.5934, published version (open access).)Poisson AKSZ theories and their quantizations. In

*Proceedings of the conference String-Math 2013*, volume 88 of*Proceedings of Symposia in Pure Mathematics*, pages 291–306, Providence, RI, 2014. Amer. Math. Soc. (abstract, PDF (published version), arXiv: 1307.5812, DOI: 10.1090/pspum/088.)The fundamental pro-groupoid of an affine 2-scheme. With Alex Chirvasitu.

*Applied Categorical Structures*, Vol 21, Issue 5 (2013), pp. 469–522. (abstract, arXiv: 1105.3104, DOI: 10.1007/s10485-011-9275-y).The formal path integral and quantum mechanics.

*Journal of Mathematical Physics*, 51, 122103 (2010). (abstract, published PDF, DOI:10.1063/1.3503472, arXiv: 1004.4305, equation and theorem numbering differs between preprint and published versions).Feynman-diagrammatic description of the asymptotics of the time evolution operator in quantum mechanics.

*Letters in Mathematical Physics*, November 2010, Volume 94, Issue 2, pp 123–149. (abstract, arXiv: 1003.1156, available Open Access from Springer Link at DOI: 10.1007/s11005-010-0424-2).

### Submitted for Publication

Mock modularity and a secondary elliptic genus. With Davide Gaiotto. 2019. (abstract, arXiv: 1904.05788.)

Holomorphic SCFTs with small index. With Davide Gaiotto. 2018. (abstract, arXiv:1811.00589.)

Galois action on VOA gauge anomalies. 2018. (abstract, arXiv:1811.06495.)

Third homology of some sporadic finite groups. With David Treumann. 2018. (abstract, arXiv: 1810.00463.)

### Other Preprints

A note on some minimally supersymmetric models in two dimensions. With Davide Gaiotto and Edward Witten. 2019. (abstract, arXiv: 1902.10249.)

Exact triangles, Koszul duality, and coisotopic boundary conditions. 2016. (abstract, arXiv: 1608.08598.)

Heisenberg-picture quantum field theory. 2015. (abstract, arXiv: 1508.05908.)

Chains(

**R**) does not admit a geometrically meaningful properadic homotopy Frobenius algebra structure. 2013. (abstract, arXiv: 1308.3423.)Peturbative techniques in path integration. Ph.D. Thesis. 2013. (abstract, PDF.)

On the coordinate (in)dependence of the formal path integral. 2010. (abstract, PDF, arXiv: 1003.5730).