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
1049-001 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:



Education


Papers

  1. Poincaré duality for supermanifolds, higher Cartan geometry, and geometric supergravity.
  2. Bundle gerbes on supermanifolds.
  3. How space-times emerge from the superpoint, which appeared in Fortschritte der Physik.
  4. Real ADE-equivariant (co)homotopy and Super M-branes (with Hisham Sati and Urs Schreiber), which appeared in Communications in Mathematical Physics.
  5. M-theory from the superpoint (with Urs Schreiber), which appeared in Letters in Mathematical Physics.
  6. Division algebras and supersymmetry IV, which appeared in Advances in Theoretical and Mathematical Physics.
  7. The magic square of Lie groups: the 2x2 case (with Tevian Dray and Josh Kincaid), which appeared in Letters in Mathematical Physics.
  8. G2 and the rolling ball (with John Baez), which appeared in Transactions of the American Mathematical Society.
  9. Division algebras and supersymmetry III, which appeared in Advances in Theoretical and Mathematical Physics.
  10. Division Algebras, Supersymmetry and Higher Gauge Theory, PhD thesis, UC Riverside.
  11. Division algebras and supersymmetry II (with John Baez), which appeared in Advances in Theoretical and Mathematical Physics.
  12. An Invitation to Higher Gauge Theory (with John Baez, based on his lectures), which appeared in General Relativity and Gravitation.
  13. Division algebras and supersymmetry I (with John Baez), which appeared in Superstrings, Geometry, Topology, and C*-algebras, edited by Doran, Friedman and Rosenberg.
  14. 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:

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


© John Huerta