As money is to promises, we might say, state bureaucracy is to the principle of care: in each case, we find one of the most fundamental building blocks of social life corrupted by a confluence of maths and violence.

David Graeber and David Wengrow, The Dawn of Everything, p.427, Allen Lane Ed. 2021

Introduction

I am an assistant professor at the Department of Mathematics of the University of Turin, in the Turin Logic Group; my field of research is Descriptive Set Theory. Here is a short CV.

Publications

My co-authors: Riccardo Camerlo, Alberto Marcone, Andrea Medini, Ben Miller, Luca Motto Ros, Sandra Müller, Yann Pequignot, Salvatore Scamperti, David Schrittesser, Dániel Soukup, Zoltán Vidnyánszky.

Published Articles

  1. A classification of the Wadge hierarchies on zero-dimensional Polish spaces, with Luca Motto Ros and Salvatore Scamperti, the Journal of Symbolic Logic (2023) (pdf)
  2. Constructing Wadge classes, with Andrea Medini and Sandra Müller, the Bulletin of Symbolic Logic (2022) (pdf)
  3. Minimal definable graphs of definable chromatic number at least three, with Benjamin David Miller, David Schrittesser and Zoltán Vidnyánszky, Forum of Mathematics. Sigma (2021) (pdf)
  4. On the existence of small antichains for definable quasi-orders, with Benjamin David Miller and Zoltán Vidnyánszky, Journal of Mathematical Logic (2021) (pdf)
  5. Every zero-dimensional homogeneous space is strongly homogeneous under determinacy, with Andrea Medini and Sandra Müller, Journal of Mathematical Logic (2020) (pdf)
  6. Bases for functions beyond the first baire class, with Benjamin David Miller, the Journal of Symbolic Logic (2020) (pdf)
  7. The open dihypergraph dichotomy and the second level of the borel hierarchy, with Benjamin David Miller and Daniel Tamas Soukup, Contemporary Mathematics (2020) (pdf)
  8. Linear orders: When embeddability and epimorphism agree, with Riccardo Camerlo and Alberto Marcone, Journal of Mathematical Logic (2019) (pdf)
  9. Embeddability on functions: Order and chaos, with Yann Pequignot and Zoltán Vidnyánszky , Transactions of the American Mathematical Society (2019) (pdf)
  10. Sigma-continuity with closed witnesses, with Benjamin David Miller, Fundamenta Mathematicae (2017) (pdf)
  11. Epimorphisms Between Linear Orders, with Riccardo Camerlo and Alberto Marcone, Order (2015) (pdf)
  12. Playing in the first Baire class, Mathematical Logic Quarterly (2014) (pdf)
  13. From well to better, the space of ideal, with Yann Pequignot, Fundamenta Mathematicae (2014) (pdf)
  14. A quasi-order for continuous functions, The Journal of Symbolic Logic (2013) (pdf)

Book chapter, dissertation

  1. Well, Better and In-Between, with Yann Pequignot, in Well-quasi Orders in Computation, Logic, Language and Reasoning, Trends in Logic (2020) (pdf)
  2. Functions of the first Baire class, Ph.D. Dissertation (2013) (pdf)

Notes and preprints

Some slides

I upload here a few sets of slides; they are chosen according to the variety of topics they cover and (hopefully!) to their clarity.

I've named them respecting their topic and not the title of the talk they are taking from.

Here is a complete list of my talks and conferences.

  1. Comparing spaces, subsets, and functions, TU Wien Logic Seminar (2023) (pdf)
  2. A well-quasi-order for continuous functions, XVI Luminy meeting in Set Theory (2023) (pdf)
  3. Wadge theory: constructing and classifying, Rutgers Logic Seminar (2022) (pdf)
  4. Wadge theory and (strongly) homogeneous space, UCLA logic seminar (2018) (pdf)
  5. About the Open Graph Dichotomy, UMI-SIMAI-PTM conference (2018) (pdf)
  6. Embeddability on functions: Order and chaos, KGRC logic seminar (2018) (pdf)
  7. Sigma-continuity with closed witnesses, XXVI Incontro dell'AILA (2017) (pdf)
  8. From WQO to BQO, the space of Ideals, Münster Logic Seminar (2014) (pdf)

Students

For prospective mathematicians

Terence Tao has a section of his blog on career advice.

Closer to my area of expertise, the late Greg Hjorth had a useful perspective for those thinking about doing a Ph.D. (at the bottom of the page).

I wrote a short list of advice, gathered here and there, on how to write your first article. This list follows the scientific publication process and is meant for someone who does not know it (yet).

Ph.D. students

Ph.D courses