Scientific Committee:

Vitaly Bergelson (Ohio State University, USA)
Andreas Blass (University of Michigan, USA)
Mauro Di Nasso (Università di Pisa, Italia)
Renling Jin (College of Charleston, USA)

Organizing Committee:

Mauro Di Nasso (Università di Pisa, Italia) - chair
Lorenzo Luperi Baglini (Università di Milano, Italia)


Given the current situation and prospects regarding the COVID-19 pandemic disease, we regret to inform that we decided to postpone the UltraMath 2020 Conference to next year.

We hope to reschedule the conference for late Spring 2021, most likely at the beginning of June 2021; in any case, the exact dates will be posted on this web page as soon as possible.

We thank the authors who have already submitted papers, and we thank all the graduate students, young researchers, and contributors from economically disadvantaged areas who applied for travel grants.
We apologize for the inconvenience.

We hope to see you all next year at ULTRAMATH 2021!

All the best and stay safe.

The organizers:
Mauro Di Nasso and Lorenzo Luperi Baglini


The international Conference "ULTRAMATH 2020” aims to present recent results in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts.
Its main goals:

  • Disseminate information about the various techniques related to the use of ultrafilters and ultraproducts, and their potential to attack open problems.
  • Bring together researchers with different backgrounds, and encourage their collaborations and interactions, especially on topics connecting different areas of mathematics.

This is the second edition of “UltraMath”, after the one held in Pisa in 2008. [link]
The previous edition of “UltraMath” originated a volume that was published in the Contemporary Mathematics Series of the AMS. [link]

The covered topics include (but are not limited to):

  1. Additive and Combinatorial Number Theory.
  2. Combinatorics and Ramsey Theory.
  3. Algebra and Geometry.
  4. General Topology.
  5. Measure Theory.
  6. Ergodic Theory and Dynamics.
  7. Functional Analysis and Metric Spaces.
  8. Nonstandard Analysis and Model Theory.
  9. Generalized Spaces and Differential Equations.
  10. Set Theory.

Greater prominence will be given to those results that satisfy (most of) the following conditions:

  • the results can be formulated and presented in non-specialist terms, and be in principle understandable by any practicing mathematician.
  • the usage of ultrafilters/ultraproducts is important (or even essential) in obtaining these results.
  • the results connect different areas of mathematics.
  • the results reveal new facets of known important topics.

The ULTRAMATH2020 conference promotes gender equality.


The registration is now open. See here.

Call for papers

The call for papers is now open. See here.


We have a limited amount of funds to support young researchers and contributors from economically disadvantages areas. To apply, see here.

Mailing list

If you want to be included in our mailing list, please send us an email to

Conference poster

You can download the ULTRAMATH 2020 from this link.

Please check this web site for updates.

Partially supported by:

  • P.R.I.N. “Mathematical Logic: models, sets, computability”
  • INDAM - GNSAGA "Istituto Nazionale di Alta Matematica"
  • Università di Milano
  • Università di Pisa

Under the auspices of:

  • AILA (Associazione Italiana di Logica e Applicazioni)