J O N A T H A N   L O R A N D

I am a mathematician working as a postdoc in the Frazzoli group in the Institute for Dynamic Systems and Control at ETH Zurich.

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.

Lorand

Email: jlorand (...) pm.me
Short CV | Teaching statement | Diversity statement | Manifesto for inclusivity

Recent Teaching
  • Applied Category Theory for Engineering II (ETH Zurich, Lecturer, Spring '24)
  • Applied Category Theory for Engineering I (ETH Zurich, Lecturer, Fall '23)
Publications & Preprints
    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)