Luigi Caputi

I am a research 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 Ulrich Bunke and Clara Löh with a thesis on Hochschild and cyclic homology for bornological coarse spaces. I was supported by the research grants GRK 1692: 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 generally interested in homology and homotopy theories, coarse geometry, combinatorial topology, K-theory, and in their applications.

Recent and upcoming activities

From February 2025 to May 2025 I am vising the department of mathematics of Fukuoka University.

CATA III: Combinatorial Algebraic Topology, and Applications III, Pisa, September 16-19, 2025

SAJDHM2025: South African-Japanese Discrete Homotopy Meeting 2025, Cape Town, South Africa, September 10-11 2025.

Topology of Arrangements with an Eye to Applications, Pisa, September 1-5, 2025

MCA 2025: Mathematical Congress of the Americas 2025, Miami, July 21-25, 2025

Focus Program on Algebraic Topology In memory of Fred Cohen at The Fields Institute for Research in Mathematical Sciences, Toronto, July 2-August 1, 2025

Arrangement Days in Osaka, Osaka, March 24-26, 2025

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.

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.

Previously:

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 Department of Mathematics of the University of Aberdeen.
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.