Currently, I am a Marie Skłodowska-Curie Fellow, hosted by the Universities of Montpellier and Maryland, working with D. Calaque, M. Bolognesi and R. Wentworth.
Previously, I was a postdoc at the Hausdorff Centre for Mathematics (HCM), working with E. Peltola; before that, I was a postdoc at the University of Geneva and the ETH Zurich, working with A. Alekseev and G. Felder.
My PhD thesis was prepared at the Laboratoire de Mathematiques d'Orsay and the Centre for the Quantum Geometry of Moduli Spaces (QGM), under the supervision of P. Boalch and J. E. Andersen, while In 2013 I was a PGSM Master Laureate in Paris (at the ENS/Paris VI).
On the left a fairly recent picture; on the right a link to a CV: rembado.cv.
My research
I study the geometry, deformations and quantisation(s) of moduli spaces of connections on principal bundles over surfaces, particularly irregular-singular (a.k.a. `wild') meromorphic connections.
[But I am interested in all the nonabelian-Hodge-theoretic avatars, i.e. also Higgs bundles and Stokes data]
I mainly use geometric and algebraic techniques: especially Poisson/symplectic geometry, representation/Lie theory, and geometric/deformation quantisation. This is a bit at the interface with theoretical/mathematical physics, leading in particular to formalisations of quantum field theories with gauge/conformal symmetries: especially (respectively) complex Chern--Simons theory and `irregular' versions of the WZNW model.
The main objects I have encountered (so far)
(Quantised) Nakajima quiver varieties
Integrable nonautonomous (quantum) Hamiltonian systems
The Segal--Bargmann space, and (a curved-space version of) the Bargmann transform
Smooth modules for affine Lie algebras, and their spaces of (co)vacua
Prequantum line bundles on Sp(1)-symmetric hyperkähler manifolds
Generalised (cabled) braid groups and complex (pseudo)reflections
Generalised root systems, and their (noncrystallographic) hyperplane arrangements
Stratified complex affine varieties
Generalised Shapovalov forms
Quantum coadjoint orbits in (dual) truncated-current Lie algebras
(Deligne--Mumford) Analytic stacks
Nonsplit/twisted reflection cosets
Current address
Institut Montpelliérain Alexander Grothendieck (IMAG), University of Montpellier
Building 9 - CC051
Place Eugène Bataillon
34090, Montpellier
E-mail: gabriele (dot) rembado (at) umontpellier (dot) fr