I am interested in topics related to symplectic/Poisson geometry, representation theory, and category theory, as well as their applications to areas outside of mathematics.
One ongoing project is work on classification problems in linear symplectic geometry. Here are two articles I’ve written together with Alan Weinstein on this topic:
• (Co)isotropic pairs in Poisson and presymplectic vector spaces
• Decomposition of (co)isotropic relations
Objects of (linear) symplectic geometry arise naturally in various applied settings. I learned about some interesting examples of this as a participant in the Adjoint School and workshop in applied category theory. Also, in the context of the workshop, I worked with John Baez, Blake Pollard, and Maru Sarazola on understanding coupling in biochemistry.
Recently I completed my first category-theoretic paper, together with Alessandro Valentino; the main protagonist is a duality involution on a Morita bicategory of k-algebras.
• Morita bicategories of algebras and duality involutions
* Seminar: Symplectic and orthogonal geometry (Coordinator, Spring 2019)
* Seminar: Applied Category Theory (Coordinator, Fall 2018)
* Seminar: Avanced Topics in Linear Algebra (Coordinator, Spring 2018)
* Functional Analysis (Assistant, Fall 2017)
* Stochastik fuer Naturwissenschaften (Assistant, Spring 2017)
* Analysis III (Assistant, Fall 2016)
* Analysis II (Assistant, Spring 2016)
* Analysis I (Assistant, Fall 2015)
I am a co-organizer of the Zurich Graduate Colloquium.