Theo Johnson-Freyd

Theo Johnson-Freyd's picture

Area of Research:
Email: tjohnsonfreyd@perimeterinstitute.ca
Phone: xt. 7614

2016-present: Perimeter Institute (Postdoc)
2013-2016: Northwestern University (NSF Postdoc / Boas Assistant Professor)
2007-2013: UC Berkeley (PhD student)
2003-2007: Stanford (Undergraduate)
prehistory-2003: Eugene, OR

Recent Publications

  • Spin, statistics, orientations, unitarity. To appear in Algebraic & Geometric Topology. arXiv: 1507.06297
  • Tree- versus graph-level quasilocal Poincaré duality on S1. Journal of homotopy and related structures, June 2016, Volume 11, Issue 2, pp 333-374. arXiv: 1412.4664
  • Homological perturbation theory for nonperturbative integrals. Letters in Mathematical Physics, November 2015, Volume 105, Issue 11, pp 1605-1632. arXiv: 1206.5319
  • 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. arXiv: 1409.5934
  • 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. arXiv: 1307.5812
  • The fundamental pro-groupoid of an affine 2-scheme. With Alex Chirvasitu. Applied Categorical Structures, Vol 21, Issue 5 (2013), pp. 469-522. arXiv: 1105.3104
  • The formal path integral and quantum mechanics. Journal of Mathematical Physics, 51, pp 122--103 (2010). arXiv: 1004.4305
  • 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. arXiv: 1003.1156
  • Exact triangles, Koszul duality, and coisotopic boundary conditions. arXiv: 1608.08598
  • The quaternions and Bott periodicity are quantum Hamiltonian reductions. arXiv: 1603.06603
  • (Op)lax natural transformations, twisted field theories, and the "even higher" Morita categories. With Claudia Scheimbauer. arXiv: 1502.06526