Roberto Svaldi

Current Position:
Ricercatore a tempo determinato di tipo B (RTDB, tenure track researcher) at the Department of Mathematics of University of Milan.
I am currently funded by the Program for Young Researchers 'Rita Levi Montalcini' of the Italian Ministry of Research and University.

Previous Positions:
I obtained my doctoral degree from the Department of Mathematics at Massachusetts Institute of Technology in 2015, under the supervision of James M^cKernan.
From 2019 to 2022, I was a Bernoulli Instructor at the Institute of Mathematics of École polytechnique fédérale de Lausanne. Until the end of 2021, I was also a Marie Curie Fellow hosted by the Chair of Algebraic Geometry at EPFL, working on my research project "Birational and moduli problems in algebraic geometry" (BirModProbAG).
From 2015 to 2019 I was a Research Fellow at the Department of Pure Mathematics and Mathematical Statistics of the University of Cambridge, and a Fellow and College Lecturer in Pure Mathematics at Churchill College, Cambridge.
During AY 2016/17 I held a visiting position at the Area of Mathematics of SISSA, Trieste, where I joined the group of Jacopo Stoppa as assegnista di ricerca (visiting assistant professor).

Curriculum vitae (click here for the version in Italian)

Orcid ID: 0000-0003-1489-5899.

Research Interests:
Birational geometry of higher dimensional algebraic varieties.
Geometry of Fano and Calabi-Yau varieties.
Structure of algebraic foliations with mild singularities.

Selected publications

• A characterization of toric varieties,
  with M. Brown, J. McKernan, H. Zong, Duke Math. J., Volume 167, Number 5 (2018), 923-968.
• A geometric characterization of toric singularities,
  with J. Moraga, accepted for publication at Journal de Mathématiques Pures et Appliquées, arXiv:2108.01717.


• Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds,
  with C. Spicer, J. Eur. Math. Soc. 24 (2022), no. 11, 3969-–4025.


• Birational boundedness of low dimensional elliptic Calabi-Yau varieties with a section,
  with G. Di Cerbo, Compos. Math. 157 (2021), no. 8, 1766--1806.
• Boundedness of elliptic Calabi-Yau varieties with a section,
  with C. Birkar, G. Di Cerbo, J. Differential Geom. 128 (2024), no. 2, 463–519.
• Boundedness of elliptically fibered Calabi--Yau threefolds,
  with S. Filipazzi, C. Hacon, accepted for publication at Journal of the Europeam Mathematical Society, arXiv:2112.01352.

Full list of publications

Vacancies in Geometry/Algebra at the University of Milan (no opening currently available)

Teaching/Didattica

Cetraro lecture notes

Theses and projects: If you are a student considering undertaking a project or a thesis under my supervision, you can just get in touch with me via email to discuss my availability and what the possible options are.
Tesi di laurea e progetti di studio indipendente: gli studenti interessati ad un progetto di studio indipendente o una tesi di laurea/dottorato sotto la mia supervisione, possono contattarmi per email per discutere la mia disponibilità ed le possibili opzioni.

I support this statement of inclusiveness.

Some useful links:

Algebraic Geometry group at Università di Milano.
On writing mathematical texts (by B. Poonen).
Upcoming conference in AG (by R. Vakil)
UMI - Collaborazioni Matematiche con il Sud Globale