Antonio Aviles works in the University of Murcia in Spain.

He is interested in set theory and Ramsey theory and their applications in the study of Banach spaces, compact spaces and Boolean algebras.

He received his Ph. D. in 2006 in Murcia under the supervision of B. Cascales and J. Orihuela, and then he spent two years and a half in Paris as a post-doc working with S. Todorcevic.

Personal website.


Recent and upcoming talks by Antonio Avilés

Set Theoretic Methods in Topology and Analysis, Będlewo, September 3-9, 2017

Set Theoretic Methods in Topology and Analysis 03.09.2017 – 09.09.2017 | Będlewo Aims and scope: The purpose of the conference is to bring together well-known specialists and young researchers working in set theory, topology, and their applications in other branches of mathematics, including algebra and functional analysis. continue reading…

Antonio Aviles: Compact spaces of the first Baire class

Place: Fields Institute (Room 210) Date: April 1st, 2016 (13:30-15:00) Speaker: Antonio Aviles Title: Compact spaces of the first Baire class Abstract: A Rosenthal compactum is a pointwise compact set of functions of the first Baire class on a Polish space. 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…

Antonio Aviles: Boolean algebras obtained by push-out iteration

Tuesday, October 20, 2015, 17:15 Wrocław University of Technology, 215 D-1 Speaker: Antonio Aviles (University of Murcia) Title: Boolean algebras obtained by push-out iteration Abstract: We discuss the notion of push-out in the category of Boolean algebras, and we describe a method of constructing Boolean algebras by transfinite iterative push-outs. continue reading…

Double Session at Fields Institute (Antonio Aviles and Istvan Juhasz)

Place: Fields Institute (Stewart Library) Date and time:  28-11-2014 from 12:30 to 15:00 Speaker 1: Antonio Aviles  (12:30-13:30) Title: A combinatorial lemma about cardinals $\aleph_n$ and its applications on Banach spaces Abstract: The lemma mentioned in the title was used by Enflo and Rosenthal to show that the Banach space $L_p[0,1]^\Gamma$ does not have an unconditional basis when $|\Gamma|\geq \aleph_\omega$. continue reading…

Ramsey theory conference, May 24 – 28, 2014

Ramsey theory conference, University of Denver. May 24–28, 2014 The aim of this conference is to bring together students and researchers from around the world in the field of Ramsey Theory. continue reading…

Antonio Avilés, Christina Brech, Jordi Lopez Abad

Wednesday, January 22, 2014, 11:00 Prague – Zitna, seminar room 3rd floor Speaker: Christina Brech: Applications of PID to Banach spaces Jordi Lopez Abad: Families of finite sets Antonio Avilés: Tukey classification of ideals Notes (pdf) Notes (html) continue reading…

2014 Winter School, Jan 25 – Feb 1, 2014

www.winterschool.eu Hejnice, Czech Republic, 25/Jan/2014 — 1/Feb/2014 Tutorial Speakers: A. Aviles J. Nešetřil D. Raghavan M. Viale The price for the conference is 300 EUR and this covers all expenses including the bus from Prague to Hejnice and back. continue reading…

Axiomatic approaches to forcing techniques in set theory, November 3-8, 2013

The Banff International Research Station will host the “Axiomatic approaches to forcing techniques in set theory” workshop from November 3rd to November 8th, 2013. The focus of this program is on forcing axioms and their applications within mathematics. continue reading…

2/Nov/2012: A.R.D. Mathias and Antonio Avilés

2/November/2012 11:00–12:00, Fields,Room 230 Speaker: A.R.D. Mathias Title: The truth predicate and the forcing theorem in weak  subsystems of ZF Abstract: Devlin in his book “Constructibility” sought a theory true  in every limit Goedel fragment $L_{\omega\nu}$ and every Jensen fragment $J_\nu$ (where $\nu\ge 1$) and strong enough to define the truth predicate for $\Delta_0$ formulae. continue reading…