Sergio Pavon’s home page

I am a Postdoc in Mathematics at Università di Padova.

You can email me at sergio.pavon@math.unipd.it . See also my institutional page.

Research interests

My research is in homological algebra and the representation theory of rings. I am interested in triangulated categories and t‑structures, as well as torsion pairs in abelian categories. I often work over a commutative noetherian ring. Recently, I have been interested in exact structures.

Personal information

Born in Venice, Italy, in 1994.

Education

2018-2021
 PhD in Mathematics, Università di Padova, with distinction. Advisor: Prof. Alberto Tonolo. Thesis on Triangulated equivalences for commutative noetherian rings, defended on 11 Jan 2022.
2016-2018 Master in Mathematics, Università di Padova.
2013-2016 Bachelor in Mathematics, Università di Padova.

Research Visits

Apr 2022-Sep 2022 IAZ Universität Stuttgart, with Steffen Koenig
Oct 2021-Mar 2022 IAZ Universität Stuttgart, DAAD Short-Term Grant
Mar 2021-May 2021 Institute of Mathematics CAS, Prague, with Michal Hrbek
Oct 2019-Feb 2020 Università di Cagliari, with Jorge Vitória

Publications and preprints ORCID:0000-0003-4524-6381

  1. Mutation and the Gabriel spectrum ARXIV
    Michal Hrbek and Jorge Vitória Preprint 2025
  2. Torsion-simple objects in abelian categories DOI ARXIV
    J. Pure Appl. Algebra 2025.
  3. Singular equivalences to locally coherent hearts of commutative noetherian rings DOI ARXIV
    Michal Hrbek J. Algebra 2023
  4. Hearts for commutative noetherian rings: torsion pairs and derived equivalences DOI ARXIV
    Jorge Vitória Doc. Math. 26 2021
  5. Tilting modules and tilting torsion pairs DOI ARXIV
    Francesco Mattiello and Alberto Tonolo in Advances in Rings, Modules and Factorizations, Springer Proc. Math. Stat. 2020

Talks

  1. Torsion-simple objects. SSS Conference, Ambleside (United Kingdom), 9 Jul 2024.
  2. Commutative hearts: continuity of mutation, jt/ M. Hrbek and J. Vitória. PAThS Conference, Cetraro (Italy), 17 May 2024.
  3. Torsion-simple objects. Algebra Seminar of Charles University, Prague, 25 Mar 2024.
  4. Torsion-simple objects. MALGA seminar, Padova, 6 Mar 2024.
  5. Relative additive functions on abelian categories. XXII UMI Congress, Pisa, 5 Sep 2023.
  6. Singular equivalences for commutative noetherian rings, jt/ M. Hrbek. STAR Conference: Silting Theory, Algebra and Representations, Prague, 12 Sep 2022. Invited speaker.
  7. Derived equivalences for commutative noetherian rings, jt/ J. Vitória. 100UMI-800Unipd anniversary conference, Padova, 27 May 2022.
  8. Coderived equivalences for commutative noetherian rings, partially jt/ M. Hrbek. Oberseminar IAZ, Stuttgart, 15 Feb 2022.
  9. Coderived equivalences, jt/ M. Hrbek. Contributed talk at HMRT 2021, Conference in honour of Lidia Angeleri Hügel, Chiemsee (Germany), 5 Oct 2021.
  10. Derived equivalences via HRS-tilting for commutative noetherian rings, jt/ J. Vitória. Algebra Seminar of Charles University, Prague, 12 Apr 2021.
  11. Homological algebra: deforming abelian groups using torsion pairs, jt/ J. Vitória. Seminario Dottorato, Università di Padova, Nov 2020.
  12. Hearts for commutative noetherian rings: torsion pairs and derived equivalences, jt/ J. Vitória. Research snapshot contributed to the ICRA2020 conference, (online), Nov 2020.
  13. Iterated HRS-tilting and derived equivalences for commutative noetherian rings, jt/ J. Vitória. MALGA seminar, (online), Jun 2020.
  14. Torsion pairs over a commutative ring, Università di Cagliari, Feb 2020.
  15. Tilting modules and tilting torsion pairs, jt/ F. Mattiello and A. Tonolo. Contributed talk at the ISCRA19 conference, Isfahan (Iran), Apr 2019.

Reviewer for

Teaching

2024 Algebra Lineare, Dept. of Molecular Sciences and Nanosystems, Università Ca’ Foscari di Venezia.
2024 Cosupervisor for the Master Thesis in Mathematics of S. Pizzirani, Università di Padova.
2023 Analisi Matematica 1, Dept. of Molecular Sciences and Nanosystems, Università Ca’ Foscari di Venezia.
2022 Fundamentals of Mathematics, Dept. of Biomedical Sciences, Università di Padova.
2022 Fondamenti di Algebra Lineare, Dept. of Industrial Engineering, Università di Padova.
2021 Precorso di Matematica, Dept. of Statistical Sciences, Università di Padova.
2020 Tutoring for Algebra 1, Dept. of Mathematics, Università di Padova.
2019 Tutoring for Discrete Mathematics, Dept. of Math. and C.S., Università di Cagliari.
2018 Tutoring for Geometry 1, Dept. of Mathematics, Università di Padova.