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

Transalpine Topology Tetrahedron (TTT), International Meeting at the Pavia Vertex, at Dipartimento di Matematica ‘Felice Casorati’ of the University of Pavia, Pavia, July 3, 2025

Transactions in Category Theory 2025, University of Strathclyde - Glasgow (hybrid), June 2nd, 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.