I am currently advising the following graduate students:
Nino Scalbi, who will defend on 9 May 2024, has been a PhD
student since 2019 at Instituto Superior Técnico. His thesis concerns the
relationship between differential cohomology and diffeological spaces, a
generalization of smooth manifolds. He is supported by a fellowship
from LisMath, and co-advised
with Roger Picken.
Diogo Freire de Andrade, who will defend sometime in 2025, has
been a PhD student since 2021 at Instituto Superior Técnico. His work concerns
the general relationship between state sums and topological field theories,
especially as suggested by factorization homology. He is supported by a fellowship
from FCT.
I previously supervised:
Rui Peixoto, MSc 2021–2023. Rui's thesis generalized a
construction of Costello and Gwilliam from algebras to superalgebras. Specifically,
Rui showed how to construct a vertex superalgebra from a holomorphic factorization
superalgebra on the complex plane. He defended in December 2023, and received the
highest possible grade. He will begin a PhD program at the University of
Massachusetts, Amherst in September 2024.
Diogo Freire de Andrade, MSc 2019–2021. Diogo's thesis
concerned a diagrammatic construction of the Drinfeld center of a spherical fusion
category. He defended in January 2021, and decided to continue his work as a PhD
student.
I am unable to take any new students at this time.
Seminars
In Spring 2024, Gonçalo Oliveira and I are organizing a learning seminar on the
mathematics of quantum field theory. Please email me if you want to participate!
Unfortunately, this only for people local to Lisbon.
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
Poincaré duality for families of supermanifolds, 11 April 2024,
Geometry Seminar, ICMAT, Madrid.
Poincaré duality for families of supermanifolds, 9 April 2024,
Higher Structure Research Group Seminar, the Feza Gursey Center for Physics and
Mathematics, Istanbul.
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).