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
Student supervision
I am currently advising the following graduate students:
 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.
 Rui Peixoto, MSc 2021  2023, Instituto Superior
Técnico, supported by a department research fellowship.
I previously supervised Diogo's MSc thesis, which he successfully defended at the
beginning of 2021.
If you are interested in doing a PhD with me, please get in touch!
Seminars
This semester (Spring 2023), my student Diogo Andrade and I are organizing a
learning seminar on
higher categories.
I am one of the organizers of the TQFT
Club, with Roger Picken and Marko Stošić.
Teaching
I am not teaching a course this semester, but you can look at
my teaching evalutations if you want to.
Recent and Upcoming Talks
 Octonions and spinors, 29 May 2023, Spinorial and octonionic
aspects of G2 and Spin(7) geometry, Banff International Research Station.
 The algebra of grand unified theories, 3 April 2023, Algebra,
Particles and Quantum Theory (online seminar).
 Body and soul decompositions in supergeometry, 29 March 2023,
SuperGeometry and SuperModuli, Simons Center for Geometry and Physics, Stony
Brook.
 An invitation to higher supergeometry, 25 August 2022,
Geometric Structures and Supersymmetry 2022, University of Tromso.
 Splitting supermanifolds, 19 April 2022, Geometry and Topology
Seminar, Texas Tech University.
 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).
©
John Huerta