Luigi Caputi

I am currently a Postdoctoral fellow at the Department of Mathematics of the University of Bologna. Before that, I was 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 Cobra group of 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 specically, my research involves a mixture of homotopy theory, homological algebra, category theory, combinatorial and geometric topology. I am mainly interested in Hochschild homology and cyclic homology theories, coarse geometry, stable homology, algebraic K-theory, and trace maps. From an interdisciplinary point of view, I am interested in applications of homotopy and category theory to complex systems, neuroscience and brain dynamics.

Recent and upcoming activities

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

TDA in Turin, Turin, November 29, 2023

CATA: Combinatorial Algebraic Topology, and Applications, Pisa, November 27-28, 2023

HPRT 2023 : Hokkaido-Pisa-Roma Tor Vergata-Torino Summer School and Workshop, Torino, August-September 2023

Curriculum Vitae

January 2024 - December 2024 PostDoc at the Department of Mathematics of the University of Bologna.
January 2023 - December 2023 PostDoc at 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.
October 2015: Master of Science in Mathematics at University of Pisa.