News

• [18–22 July '22] Conference: Applied Category Theory 2022
• [May '22] Workshop: Compositional Robotics: Mathematics and Tools at ICRA, the IEEE international conference on robotics and automation.
• [Spring '22] Teaching: Applied Compositional Thinking for Engineers I at ETH

Research

I am interested in applied category theory, a general-purpose mathematics of interconnection, composition, relation and translation. Currently I am involved in projects in engineering, specifically complex systems design using co-design. I have done past work in category theory, representation theory, and symplectic & Poisson geometry.

Applied category theory

• Categorification of Negative Information using Enrichment (paper with A. Censi, E. Frazzoli, G. Zardini)



Duality involutions on 1-categories and bicategories

• Duality Involutions, Representations, and Geometry (my PhD thesis)
• Morita bicategories of algebras and duality involutions (paper with A. Valentino)



Classification problems in linear symplectic geometry

• (Co)isotropic triples and poset representations (paper with C. Herrmann, A. Weinstein)
• Decomposition of (co)isotropic relations (paper with A. Weinstein)
• (Co)isotropic pairs in Poisson and presymplectic vector spaces (paper with A. Weinstein)