Matteo Viale works in Torino University. His field of specialization is set theory.

His current researches focus on forcing axioms, currently one of the main topics of this field. These axioms are strong combinatorial principles which settle almost all classical undecidable problems of set theory. They also have some unexpected applications in other fields of mathematics.

A question that drives his current interests is to try to understand why this is the case.
Previously he centered his researches on the singular cardinal combinatorics in models of strong forcing axioms.

He completed his doctoral studies in Paris in 2006 under the direction of Prof. Velickovic. Subsequently he was offered a three years post-doc position in Vienna University, which he held in 2007 and 2008.
Since 2008 he works as a tenure track researcher in mathematical logic in Torino university.

Personal website


Recent and upcoming talks by Matteo Viale

Matteo Viale: Useful axioms

KGRC Research Seminar – 2017‑04‑26 at 4pm Speaker: Matteo Viale (Università di Torino, Italy) Abstract: I overview several aspects of forcing axioms which (in my eyes) give solid mathematical arguments explaining why these axioms are so useful in establishing new (consistency) results and/or theorems. continue reading…

Large Cardinals and Strong Logics: September 5 through December 16

Dear colleague, We would like to inform you about the forthcoming CRM Intensive Research Program on Large Cardinals and Strong Logics, to be held from September 5 to December 16, 2016. continue reading…

Menachem Magidor 70th Birthday Conference, Jerusalem, February 17-19 2016

Menachem Magidor 70th Birthday Conference The Hebrew University of Jerusalem, February 17-19 2016 Reigstration is now open! Invited speakers: Artur Apter (CUNY) Joan Bagaria (ICREA & UB) James Cummings (CMU) Mirna Dzamonja (UEA) Ilijas Farah (York) Matthew Foreman (UCI) Moti Gitik (TAU) Juliette Kennedy (Helsinki) Peter Koepke (Bonn) Jean Larson (UFL) Bill Mitchell (UFL) Ralf Schindler (Münster) Saharon Shelah (HUJI) Dima Sinapova (UIC) John Steel (Berkeley) Jouko Väänänen (Helsinki & ILLC) Boban Velickovic (Paris 7) Matteo Viale (Torino) Philip Welch (Bristol) Hugh Woodin (Harvard) Organizers: Laura Fontanella Itay Kaplan Asaf Karagila Assaf Rinot continue reading…

High and low forcing, San Jose, Jan 11 – 15, 2016

High and low forcing January 11 to January 15, 2016 at the American Institute of Mathematics, San Jose, California organized by Itay Neeman and Dima Sinapova This workshop, sponsored by AIM and the NSF, is devoted to new methods of forcing, in infinitary combinatorics, and in connection with axioms about the real line. continue reading…

Novi Sad Conference in Set Theory and General Topology, June 20 – 23, 2016

The international conference “Novi Sad Conference in Set Theory and General Topology” SETTOP 2016 will take place from June 20th to June 23rd 2016. Conference venue will be “Norcev” hotel, situated about 20km from Novi Sad (Serbia), within Fruška Gora national nature park. continue reading…

Independence Results in Mathematics and Challenges in Iterated Forcing, Norwich, November 2-6 2015

Satellite Workshop 2nd November 2015 to 6th November 2015 Held at the University of East Anglia Norwich, UK Organisers: David Aspero (University of East Anglia), Joan Bagaria (Universitat de Barcelona), Mirna Dzamonja (University of East Anglia), Benedikt Loewe (Universität Hamburg) Workshop Theme Independence Results in Mathematics and Challenges in Iterated Forcing Forcing, and especially iterated forcing, is an extremely fruitful technique for proving that certain statements in mathematics are independent from ZFC, or some other base set theory. continue reading…

Matteo Viale: Well Behaving Category Forcings

Friday Set Theory Seminar (HUJI) We shall meet next Friday (July 10th) in the Hebrew University math department building in Room 110, at 10 am. Speaker: Matteo Viale (UNITO) Title: Well Behaving Category Forcings Abstract: We isolate and study certain nice properties for classes of forcings  : that of being $\kappa$-iterable (property A), that of being $\Pi^1_1$-persistent at $\kappa$ (property B), and that of having the strong freezeability property (property C).. continue reading…

Forcing and its applications: Retrospective Workshop, March 29 – April 2, 2015

The meeting will take place at the Field Institute, 222 College Street, Toronto. About In the years 1963-1964, Paul Cohen developed the method of forcing in order to settle Cantor’s Continuum Problem.  continue reading…

2nd Arctic Set Theory Workshop, February 12-17, 2015

This international workshop on the latest developments in set theory will be held in the Kilpisjärvi Research Center of the University of Helsinki, during February 12-17, 2015. A group of leading mathematical logicians, together with younger researchers, from Finland, USA, Israel, UK, Germany, France, Canada, Italy, Greece, China, and Austria will meet in this unique location to make progress on the hardest questions of set theory today. continue reading…

Inner and Outer Model Theory, July 6-7, 2014

Inner and Outer Model Theory This workshop will take place at the University of Bristol on July 6th and 7th, 2014. It will focus on the structure of forcing extensions, in particular fine structure-like properties, as well as inner model theory. continue reading…