John Huerta
Mathematical Physicist
University of Lisbon
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john.huerta@tecnico.ulisboa.pt
Office: 2.08A, Pavilhão Matemática.
Department of Mathematics
Instituto Superior Técnico
Avenida Rovisco Pais 1
1049-001 Lisbon, Portugal
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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.
- Super-WZW models and their branes.
- Branes in twisted supergravity theories.
- Loop groups in supergeometry.
- The Cartan geometry of 5-manifolds 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 space-times
emerge from the superpoint, which appeared in Fortschritte der
Physik.
- Real ADE-equivariant
(co)homotopy and Super M-branes (with Hisham Sati and Urs
Schreiber), which appeared in Communications in Mathematical
Physics.
- M-theory 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. Co-advised
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 Borel--Weil theorem, minicourse, 6-17 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