Reverse Mathematics

Reverse Mathematics addresses the question of which axioms of mathematics are necessary in order to prove a specific theorem or develop a specific branch of mathematics. This often reveals new insights on these theorems and branches, such as connections with other parts of mathematics, generalizations, and explicit proofs that provide additional information on the objects constructed. The program will gather experts who have contributed to the development of the field in its first 50 years in order to discuss recent advances and future directions, as well as explore and expand its connections with other fields of mathematics.

The program will last 10 weeks and include visits from researchers, collaborations, talks, and four weeks of focus workshops. 

Week 2 (June 30–July 4). Workshop "Reverse Mathematics and Higher Computability Theory."
Schedule and speakers to be announced.

Week 6 (July 28–August 1). Summer School "Reverse Mathematics: New Paradigms."

Lecturers:

Damir Dzhafarov (UConn)
Ekaterina Fokina (TU Wien)
Anton Freund (U Würzburg)
Ludovic Patey (Paris)
Keita Yokoyama (Tohoku)

Week 7 (August 4–8). Workshop "Reverse Mathematics: New Paradigms."
Schedule and speakers to be announced.

Week 10 (August 25–29). Workshop "Reverse Mathematics: Beyond Logic."
Schedule and speakers to be announced.

Coming soon.

This event has no subevents associated to it.

Organizers

Name Affiliation
Juan Aguilera Technical University of Vienna
Linda Brown Westrick The Pennsylvania State University
Noam Greenberg Victoria University of Wellington
Denis Hirschfeldt University of Chicago

Attendees

Name Affiliation
Miguel Aguilar TU Wien
Heidi Benham University of Connecticut
William Chan Technical University of Vienna
Peter Cholak University of Notre Dame du Lac
Andrew DeLapo University of Connecticut
Gavin Dooley University of Notre Dame du Lac
David Fernández-Duque University of Barcelona
Ekaterina Fokina TU Wien
Anton Freund University of Würzburg
Mariami Gamsakhurdia TU Wien
Giorgio Genovesi University of Leeds
Oriola Gjetaj Ghent University
Jun Le Goh National University of Singapore
David Gonzalez University of California, Berkeley
Jeffry Hirst Appalachian State University
Edward Hou Caltech University
Martina Iannella TU Wien
Hanul Jeon Cornell University
Liling Ko TU Wien
Ulrich Kohlenbach Technical University Darmstadt
Leszek Kołodziejczyk University of Warsaw
Dominique Lecomte University Paris Jussieu
Ludovic Levy Patey CNRS
Lu Liu Central South University
Robert Lubarsky Florida Atlantic University
Philipp Lücke University of Hamburg
Alberto Marcone University of Udine
Andrew Marks University of California, Berkeley
Alexander Melnikov Victoria University of Wellington
Russell Miller City University of New York
Antonio Montalbán University of California, Berkeley
Carl Mummert Marshall University
Antonio Nakid Cordero University of Wisconsin-Madison
Selwyn Ng Nanyang Technological University
Gian Marco Osso University of Udine
Fedor Pakhomov Ghent University
Aristotelis Panagiotopoulos University of Vienna
Alvaro Pintado University of Pennsylvania
Nicholas Pischke Technical University Darmstadt
Dino Rossegger TU Wien
Aeacus Sheng Carnegie Mellon University
Borja Sierra University of Bern
Giovanni Soldà Ghent University
Grigorii Stepanov TU Wien
Catalina Torres University of Barcelona
Daniel Turetsky Victoria University of Wellington
Manlio Valenti Swansea University
José Jeremías Valenzuela Morales George Washington University
Java Darleen Villano University of Connecticut
Wei Wang Sun Yat-sen University
Philip Welch University of Bristol
Keita Yokoyama Tohoku University
Liang Yu Nanjing University
Miroslav Zeleny Charles University Prague
At a glance
Type:
Thematic Programme
When:
June 23, 2025 — Aug. 29, 2025
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Juan Aguilera (TU Vienna)
Linda Brown Westrick (Penn State U)
Noam Greenberg (Victoria U of Wellington)
Denis Hirschfeldt (U of Chicago)