Ari Meir Brodsky

I am a Postdoctoral Fellow in the Department of Mathematics of Bar-Ilan University, Ramat-Gan 5290002, Israel, specializing in combinatorial set theory.

My current focus is on developing the "microscopic approach to Souslin-tree constructions" together with Assaf Rinot:

- Reduced powers of Souslin
trees (with Assaf Rinot).
*Forum of Mathematics, Sigma*5 (2017), e2, 82 pp. - Papers submitted:
- Distributive Aronszajn trees (with Assaf Rinot), submitted April 2017
- More notions of forcing add a Souslin tree (with Assaf Rinot), submitted July 2016
- A Microscopic approach to Souslin-tree constructions. Part I (with Assaf Rinot), submitted December 2015 (42 pages)
- Conference presentations and slides:
- More notions of forcing add a Souslin tree at the Toronto Set Theory Seminar, Fields Institute, Toronto, October 2016
- Ramsey theory of cardinals, ordinals, trees, and partial orders (in Hebrew), Bar-Ilan University, Ramat-Gan, June 2016
- Ramsey theory of linear orders, trees, and partial orders (in Hebrew), Ariel University, June 2016
- Custom-made Souslin trees at the Logic, Set Theory and Topology seminar (in Hebrew), Ben-Gurion University of the Negev, Beer Sheva, May 2016
- Custom-made Souslin trees at the Toronto Set Theory Seminar, Fields Institute, Toronto, May 2016
- How to construct a Souslin tree the right way (in Hebrew), Part I and Part II, Set Theory seminar, Bar-Ilan University, Ramat-Gan, March 2016
- Custom-made Souslin trees at the Kurt Gödel Research Center, Vienna, January 2016 (picture)
- A new framework for Souslin-tree constructions (includes video recording) at The 19th Midrasha Mathematicae, 8th Young Set Theory Workshop (Compactness, Incompactness and Canonical Structures), Israel Institute for Advanced Studies, Jerusalem, October 2015
- A microscopic approach to higher Souslin-tree constructions at the 22nd Boise Extravaganza in Set Theory, San Francisco State University, June 2015

My PhD Thesis was completed at the University of Toronto under the supervision of Stevo Todorcevic:

- A Theory of Stationary Trees and the Balanced Baumgartner-Hajnal-Todorcevic Theorem for Trees, PhD thesis, University of Toronto, 2014
- Report on my thesis by external examiner Marion Scheepers
- A Theory of Stationary Trees and the Balanced Baumgartner–Hajnal–Todorcevic Theorem for Trees, Acta Mathematica Hungarica, December 2014, Volume 144, Issue 2, pp 285-352 --- contains the majority of my thesis
- AMS MathSciNet review by Vera Fischer
- zbMATH review by Klaas Pieter Hart
- Presentations and slides:
- A Theory of Stationary Trees, and the Balanced Baumgartner-Hajnal-Todorcevic Theorem for Trees at the Infinite Combinatorics seminar, Bar-Ilan University, Ramat-Gan, November 2014
- A Theory of Stationary Trees, and the Balanced Baumgartner-Hajnal-Todorcevic Theorem for Trees at the DU Sesquicentennial Ramsey Theory Conference, University of Denver, May 2014
- A Theory of Stationary Trees, and the Balanced Baumgartner-Hajnal-Todorcevic Theorem for Trees at the ASL 2014 North American Annual Meeting, University of Colorado, Boulder, May 2014
- A theory of non-special trees, and a generalization of the Balanced Baumgartner-Hajnal-Todorcevic Theorem at the Toronto Set Theory Seminar, Fields Institute, Toronto, July 2013
- Honourable mention by Jean Larson in "Partition Relation Perspectives" at the Isaac Newton Institute for Mathematical Sciences, beginning at 08:15 of video recording, December 2015, and again in slide #10 at Menachem Magidor 70th Birthday Conference, February 2016

On 14 Sivan 5776, I initiated the first-ever Jewish Pi Day celebration, with the help of Prof. Ely Merzbach.

Academic listings:

- The Mathematics Genealogy Project - Ari Brodsky
- MR: Brodsky, Ari Meir - 1083964
- Ari Brodsky | Set Theory Talks

Older links (to be updated)