Eugenio Landi
About me:
I am currently a postdoc at Università degli studi di Roma “La Sapienza”, starting in June 2023.
I obtained my Ph.D. in mathematics at Università di Roma Tre under the supervision of professor Domenico Fiorenza.
My research interests are algebraic topology and higher category theory.
For my Ph.D. thesis, titled "Equivariant localization methods, orientations and modularity", I worked on orientations, T-duality, rational homotopy theory, TQFTs and equivariant cohomology.
You can email me at: eugenio.landi@uniroma1.it.
My Curriculum Vitae.
My papers on the ArXiv.
My ORCID profile.
My Google Scholar profile.
Research Papers:
- An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra
(with Mattia Coloma and Domenico Fiorenza) Expo. Math. [DOI] [arXiv] - A very short note on the (rational) graded Hori map
(with Mattia Coloma and Domenico Fiorenza) Commun. Algebra [DOI] [arXiv] - The (anti-)holomorphic sector in C/Λ-equivariant cohomology, and the Witten class
(with Mattia Coloma and Domenico Fiorenza) J. Geom. Phys. [DOI] [arXiv] - Integrals detecting degree 3 string cobordism classes
(with Domenico Fiorenza) Boll. Unione Mat. Ital. [DOI] [arXiv]
Invited Talks:
- 18/03/2021: The Witten genus as the "volume" of the double loop space, KCL/UCL Junior Geometry seminar - Online;
- 19/04/2022: Equivariant localization methods, orientations and modularity, GAP (Geometry, Algebra, Physics) Seminar - Online;
- 10/05/2022: Lecture on Model Categories, Preparatory informal seminar on the Geometric Cobordism Hypothesis - Online;
- 26/05/2022: Equivariant localization methods, orientations and modularity, First UMI meeting of PhD students. Padova - In Person;
- 13/10/2022: String bordism invariants in dimension 3 from U(1)-valued TQFTs, Cobordisms, Strings, and Thom Spectra. Oaxaca - Online;
- 04/11/2022: Breve Seminario sugli Spettri (A Short Talk on Spectra), Lecture Series on Cyclic Homology. Rome - Tor Vergata - Online;
- 09/11/2022: The Topological Half of the Grothendieck-Hirzebruch-Riemann-Roch Theorem, Cohomology in algebra, geometry, physics and statistics. Prague - Online;
- 01/12/2022: The Topological Half of the Grothendieck-Hirzebruch-Riemann-Roch Theorem, Workshop on “Higher Structures” at Penn State. Pennsylvania State University - In Person;
- 06/12/2022: String bordism invariants in dimension 3 from U(1)-valued TQFTs, GAP (Geometry, Algebra, Physics) Seminar. Pennsylvania State University - In Person.
- 17/08/2023: String bordism invariants in dimension 3 from U(1)-valued TQFTs, Higher Structures in Functorial Field Theory. Regensburg - In Person.
Teaching:
Teaching Assistant:
- Department of Basic and Applied Sciences for Engineering (SBAI), Università degli studi di Roma “La Sapienza”, Clinical engineering, 2019-2020. Course: Geometry.
- Department of Basic and Applied Sciences for Engineering (SBAI), Università degli studi di Roma “La Sapienza”, Building engineering, 2019-2020. Course: Geometry.
Lecturer:
- Department of Mathematics, Pennsylvania State University, August 2022-December 2022. Course: Math220 - Matrices