PhD students

Research topic: Normal forms for complex Dirac structures

co-advisor: Pedro Resende

Research topic: Lie categories & Yang-Mills theory with multiplicative connections

co-advisor: João Nuno Mestre

Research topic: Linearization of Lie algebroids

co-advisor: Marco Zambon

Research topic: Desingularization of Lie algebroids and related geometric structures

PhD Thesis: Poisson cohomology and linearization for sl(2,R) and sl(2,C)

co-advisor: Marco Zambon

PhD Thesis: On Submanifolds and Deformations in Poisson Geometry

co-advisor: Marius Crainic

PhD Thesis: On Integrable Systems & Rigidity for PDEs with Symmetry

Master students

Master’s Thesis: Blow-ups of Lie groupoids and Lie algebroids

Master’s Thesis: The Lu-Weinstein Poisson structure on a compact semisimple Lie group – A new perspective on linearization

Master’s Thesis: Lie groups of Poisson diffeomorphisms (resulted in two publications: 1, 2.)

co-advisor: Marius Crainic

Master’s Thesis: The Nash-Moser implicit function theorem and applications

Bachelor students

Bachelor's Thesis: Symplectic geometry - Darboux’s theorem and Hamiltonian systems

Bachelor's Thesis: Cartan’s Closed Subgroup Theorem

co-advisor: Florian Zeiser

Honors Bachelor's Thesis: Poisson cohomology of 3-dimensional Lie algebras

Bachelor's Thesis: The Gauss-Bonnet Theorem

Bachelor's Thesis: Rectangular peg problem

Bachelor's Thesis: Triangulation Theorem and Hauptvermutung for Surfaces

Bachelor's Thesis: The Heat Kernel Proof of the Atiyah-Singer Index Theorem for Dirac Operators

Bachelor's Thesis: Prime Decompositions and Geometries of 3-manifolds and the Poincaré Conjecture