John Huerta
Mathematical Physicist
University of Lisbon


john.huerta@tecnico.ulisboa.pt
Office: 2.08A, Pavilhão Matemática.
Department of Mathematics
Instituto Superior Técnico
Avenida Rovisco Pais 1
1049001 Lisbon, Portugal

ON THE JOB MARKET!
Here is my CV.
I am currently a research scientist at CAMGSD at Instituto Superior Técnico, a part of the University of Lisbon.
Research interests
My research concerns mathematical physics via differential geometry and higher
structures. Current interests include:
 Supergeometry, especially of Lie supergroups.
 SuperWZW models and their branes.
 Branes in twisted supergravity theories.
 Loop groups in supergeometry.
 The Cartan geometry of 5manifolds equipped with "(2,3,5) distributions", the most famous of which is the rolling ball.
Education
 PhD in Mathematics, University of California, Riverside, June 2011.
Advisor: John Carlos Baez.
Papers
 Bundle gerbes on supermanifolds.
 How spacetimes
emerge from the superpoint, which appeared in Fortschritte der
Physik.
 Real ADEequivariant
(co)homotopy and Super Mbranes (with Hisham Sati and Urs
Schreiber), which appeared in Communications in Mathematical
Physics.
 Mtheory from the superpoint
(with Urs Schreiber), which appeared in Letters in Mathematical Physics.
 Division algebras and supersymmetry
IV, which appeared in Advances in Theoretical and Mathematical Physics.
 The magic square of Lie groups: the 2x2 case (with
Tevian Dray and Josh Kincaid), which appeared in Letters in Mathematical
Physics.
 G2 and the rolling ball (with John
Baez), which appeared in Transactions of the American Mathematical Society.
 Division algebras and supersymmetry
III, which appeared in Advances in Theoretical and Mathematical Physics.
 Division Algebras, Supersymmetry and
Higher Gauge Theory, PhD thesis, UC Riverside.
 Division algebras and supersymmetry
II (with John Baez), which appeared in Advances in Theoretical and
Mathematical Physics.
 An Invitation to Higher Gauge
Theory (with John Baez, based on his lectures), which appeared
in General
Relativity and Gravitation.
 Division algebras and supersymmetry
I (with John Baez), which appeared in
Superstrings,
Geometry, Topology, and C*algebras, edited by Doran, Friedman and
Rosenberg.
 The Algebra of Grand Unified
Theories (with John Baez) which appeared in
the Bulletin
of the American Mathematical Society. Also available as its own
webpage.
Popularizations
Advising
 Nino Scalbi, PhD 2019  2023, Instituto Superior
Técnico, supported by a fellowship
from LisMath. Coadvised
with Roger Picken.
 Diogo Freire de Andrade, PhD 2021  2025, Instituto Superior Técnico,
supported by a fellowship from FCT.
If you are interested in doing a PhD with me, please get in touch!
Seminars
I am one of the organizers of the TQFT
Club, with Roger Picken and Marko Stošić.
Recent Talks
 Bundle gerbes on Lie supergroups, 19 November 2021, Geometry and
Topology Seminar, University of Waterloo.
 Bundle gerbes on Lie supergroups, 4 October 2021, Pure
Spinors, Superalgebras, and Holomorphic Twists, University of Heidelberg.
 Geometric quantization and the BorelWeil theorem, minicourse, 617 September
2021, University of Bologna.
 Bundle gerbes on Lie supergroups, 14 June 2021, RIND
mathematical physics seminar (online).
 The higher algebra of supersymmetry, 29 March 2021, Octonions
and the Standard Model, the Perimeter Institute for Theoretical Physics (online).
 Bundle gerbes on supermanifolds, 4 March 2021, Prague
mathematical physics seminar (online).
 Bundle gerbes on supermanifolds, 5 June 2020, TQFT club,
University of Lisbon (online).
 Bundle gerbes on supermanifolds, 7 May 2020, SuperDay in
Alessandria, University of Eastern Piedmont (online).
 Higher gauge theory on supermanifolds, 8 November 2019,
Mathematical Physics Seminar, University of Lyon.
 The equivariant brane bouquet, 22 May 2019, University of Malaga.
 Division algebras and the brane bouquet, 15 February 2019, Geometric Structures
in Mathematics and Physics, University of Bologna.
 Division algebras and supersymmetry, 14 February 2019, Geometric Structures in
Mathematics and Physics, University of Bologna.
©
John Huerta