Luigi Caputi

I am currently a Postdoctoral fellow at the Department of Mathematics of the University of Bologna. Before that, I was a postdoc at the Department of Mathematics of the University of Torino, a Research Fellow at the School of Natural and Computing Sciences of the University of Aberdeen, and a Postdoctoral fellow with the Czech Academy of Sciences in Prague.

I have completed my Ph.D. in Mathematics at the University of Regensburg, under the supervision of Prof. Dr. Ulrich Bunke and Prof. Dr. Clara Löh with a thesis on Hochschild and cyclic homology for bornological coarse spaces. I was supported by the research grants Curvature, Cycles, and Cohomology and the DFG SFB 1085 “Higher Invariants”.

Research interests

My main subject is Algebraic Topology. More specifically, my research involves a mixture of homotopy theory, homological algebra, category theory, combinatorial and geometric topology. I am interested in homology and homotopy theories, coarse geometry, combinatorial topology, K-theory, and applications of homotopy and category theory to graphs and complex systems, such as applications of TDA to neuroscience and brain dynamics.

Recent and upcoming activities

CATA II: Combinatorial Algebraic Topology, and Applications II, Pisa, October 1-4, 2024

HPRT 2024 : Hokkaido-Pisa-Roma Tor Vergata-Torino Summer School and Workshop, Hokkaido, August 26 - September 6, 2024

AMS-UMI 2nd Joint Meeting, Special session B16 Discrete and Combinatorial Algebraic Topology, Theory and Applications, Palermo, July 25-26, 2024.

Magnitude 2023, Osaka University, December 4-8, 2023.

Previous positions:

January 2024 - now PostDoc at the Department of Mathematics of the University of Bologna.
January 2023 - December 2023 PostDoc at the Department of Mathematics of the University of Torino .
September 2022 - December 2022 PostDoc with the Czech Academy of Sciences in Prague.
November 2020 - August 2022 Research Fellow with the Aberdeen Neuro-Topology Research Group.
November 2019 - October 2020 PostDoc with the Czech Academy of Sciences in Prague.
June - September 2019: Wiss. Mitarbeiter at the University of Regensburg in the research group “Curvature, Cycles, and Cohomology”.
March 2016 - May 2019: PhD student at the University of Regensburg.