I am currently advising the following graduate students:
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:
Nino Scalbi, PhD 2019-2024, Instituto Superior Técnico. Nino's
thesis establishes a beautiful connection between differential cohomology and
diffeological spaces, a generalization of smooth manifolds. He was supported by a
fellowship from LisMath, and co-advised
with Roger Picken. He now
plans to make the transition to industry, so if you're looking for a world-class
problem solver, you should recruit Nino!
Rui Peixoto, MSc 2021–2023, Instituto Superior Técnico. 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 in mathematics at
the University of Massachusetts, Amherst in September 2024.
Diogo Freire de Andrade, MSc 2019–2021, Instituto Superior
Técnico. 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.
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
The prequantum 2-Hilbert space, 11 June 2024, Categorical
Algebra and Geometry, ENSPM24, University of Minho, Braga.
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.