Assaf Rinot is an assistant professor at the department of Mathematics, Bar-Ilan University.

He received a Ph.D. from Tel Aviv University in January 2011, under the supervision of Moti Gitik. He was then a postdoc of Uri Abraham at Ben-Gurion university, and a Fields-Ontario postdoctoral fellow at the University of Toronto under the supervision of Stevo Todorcevic, William Weiss, and Ilijas Farah.

Rinot’s research is in combinatorial set theory, especially around the combinatorics of singular cardinals.

Personal website


Recent and upcoming talks by Assaf Rinot

Assaf Rinot: Distributive Aronszajn trees

Forcing Seminar (Tel-Aviv University) Tuesday, 4/Apr/2017, 9-11. Room 007, Schriber building, Tel-Aviv University. Speaker: Assaf Rinot Title: Distributive Aronszajn trees Abstract: We address a conjecture asserting that, assuming GCH, for every singular cardinal $\lambda$, if there exists a $\lambda^+$-Aronszajn tree, then there exists one which is moreover $\lambda$-distributive. continue reading…

MFO workshop in Set Theory, Oberwolfach, February 2017

Set Theory (Workshop ID: 1707) 12 Feb – 18 Feb 2017 Organisers Ilijas Farah, Toronto Sy-David Friedman, Wien Ralf Schindler, Münster Hugh Woodin, Cambridge MA continue reading…

Assaf Rinot: Partitioning a cardinal into fat stationary sets

BIU seminar in Set Theory On 29/12/2016, 10-12, Building 216, Room 201  Speaker: Assaf Rinot Title : Partitioning a cardinal into fat stationary sets Abstract: A subset $F$ of a regular uncountable cardinal $\kappa$ is said to be fat iff for every club $C\subseteq\kappa$, and every ordinal $\alpha<\kappa$, $F\cap C$ contains a closed copy of $\alpha+1$. continue reading…

Assaf Rinot: Hindman’s theorem and uncountable Abelian groups

Mathematics Colloquium, Bar-Ilan University Sunday, 27/Nov/2016, 14:00-15:00 Speaker: Assaf Rinot Title: Hindman’s theorem and uncountable Abelian groups Abstract. In the early 1970’s, Hindman proved a beautiful theorem in additive Ramsey theory asserting that for any partition of the set of natural numbers into finitely many cells, there exists some infinite set such that all of its finite sums belong to a single cell. continue reading…

2017 North American ASL Meeting: March 20-23, 2017

Conference web site Plenary speakers M. Aschenbrenner (UCLA) C. Conley (Carnegie Mellon University) I. Kalimullin (Kazan Federal Univeristy) P. Koellner (Harvard University) A. Medvedev (City College of New York) A. Rinot (Bar-Ilan University) M. continue reading…

6th European Set Theory Conference, Budapest, July 3–7, 2017

The 6th European Set Theory Conference (6ESTC) of the European Set Theory Society will be organized in Budapest, at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences, next year, July 3 – 7, 2017. continue reading…

Set Theory and its Applications in Topology, September 11-16, 2016

The meeting took place in Oaxaca, Mexico. The slides may be found below. 08:45 – 09:00 Introduction and Welcome (Conference Room San Felipe) 09:00 – 10:00 Alan Dow: The even numbered problems (Conference Room San Felipe) 10:00 – 10:30 Rodrigo Jesus Hernandez Gutierrez: Spaces discretely generated at infinity (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Isván Juhász: Lindelöf spaces of countable pseudocharacter (Conference Room San Felipe) 11:30 – 12:00 Juris Steprans: PID and universal graphs (Conference Room San Felipe) 13:20 – 13:30 Group Photo (Hotel Hacienda Los Laureles) 13:30 – 15:00 Lunch (Restaurant Hotel Hacienda Los Laureles) 15:00 – 16:00 Itay Neeman: Forcing one instance of the Moore-Todorcevic principle (Conference Room San Felipe) 16:00 – 16:30 Coffee Break (Conference Room San Felipe) 16:30 – 17:00 James Cummings: Dowker and super-Dowker filters (Conference Room San Felipe) 17:00 – 17:30 Assaf Rinot: The $\omega_2$-Souslin problem (Conference Room San Felipe) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Tuesday, September 13 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 10:00 Christina Brech: Bases of Homogeneous families bellow the first Mahlo cardinal (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Piotr Koszmider: A non-commutative Mrówka’s $\Psi$-space (Conference Room San Felipe) 11:30 – 12:00 Asger Tornquist: Invariant descriptive set theory and almost disjointness modulo an ideal (Conference Room San Felipe) 13:30 – 15:00 Lunch (Restaurant Hotel Hacienda Los Laureles) 15:00 – 16:00 Alexander Shibakov: Sequential groups: large and small (Conference Room San Felipe) 16:00 – 16:30 Coffee Break (Conference Room San Felipe) 16:30 – 17:00 Jindrich Zapletal: Strong measure zero sets in Polish groups (Conference Room San Felipe) 17:00 – 17:30 Marcin Sabok: On hyperfiniteness of boundary actions of hyperbolic groups (Conference Room San Felipe) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Wednesday, September 14 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 09:30 Joerg Brendle: Q (Conference Room San Felipe) 09:30 – 10:00 Dilip Raghavan: More on the density zero ideal (Conference Room San Felipe) 10:00 – 10:30 Osvaldo Guzmán: Combinatorial properties of MAD families (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Victor Torres-Perez: Constructions with oppositions: Cardinal invariants and games (Conference Room San Felipe) 11:30 – 12:00 David Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem (Conference Room San Felipe) 12:00 – 12:30 Natasha Dobrinen: Topological Ramsey spaces in some creature forcings (Conference Room San Felipe) 12:30 – 13:30 Lunch (Restaurant Hotel Hacienda Los Laureles) 13:30 – 17:30 Free Afternoon (Oaxaca) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Thursday, September 15 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 10:00 Slawomir Solecki: Monoid actions on left-topological compact semigroups (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Aleksandra Kwiatkowska: The Ramsey degree of the pre-pseudoarc (Conference Room San Felipe) 11:30 – 12:00 Dana Bartosova: Ultrafilter combinatorics in topological dynamics (Conference Room San Felipe) 13:30 – 15:00 Lunch (Restaurant Hotel Hacienda Los Laureles) 15:00 – 16:00 Jan van Mill: Erdős spaces (Conference Room San Felipe) 16:00 – 16:30 Coffee Break (Conference Room San Felipe) 16:30 – 17:00 Anush Tserunyan: Topological dimension and Baire category (Conference Room San Felipe) 17:00 – 17:30 Yinhe Peng: Weak network and the basis problem (Conference Room San Felipe) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Friday, September 16 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 09:30 Jeffrey Bergfalk: Walks… (Conference Room San Felipe) 09:30 – 10:00 Iian Smythe: A local Ramsey theory for block sequences (Conference Room San Felipe) 10:00 – 10:30 Noé de Rancourt: Ramsey theory with and without the pigeonhole principle (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Claribet Piña: Topological partition relations for $\omega^2$ (Conference Room San Felipe) 11:30 – 12:00 Carlos Uzcategui: Bases and selectors for cofinal families of countable sets (Conference Room San Felipe) 12:00 – 12:30 Carlos Di Prisco: Graphs on the Cantor set (Conference Room San Felipe) 12:30 – 14:30 Lunch (Restaurant Hotel Hacienda Los Laureles)   continue reading…

Assaf Rinot: Reduced powers of Souslin trees

BGU Seminar in Logic, Set Theory and Topology. Time: Tuesday, May 31st, 12:30-13:45. Place: Seminar room -101, Math building 58. Speaker: Assaf Rinot (BIU) Title: Reduced powers of Souslin trees Abstract: What is the relationship between a Souslin tree and its reduced powers? continue reading…

Assaf Rinot: The strength of the generalized Souslin hypothesis

Forcing Seminar (Tel-Aviv University) Tuesday, 29/Mar/2016, 9-11. Room 209, Schriber building, Tel-Aviv University. Speaker: Assaf Rinot Title: The strength of the generalized Souslin hypothesis Abstract: The goal of this talk is check my proof  that GCH+$\square(\lambda^+)$ entails a $\lambda^+$-Souslin tree for every uncountable cardinal $\lambda$. continue reading…

Assaf Rinot: Chain conditions of products

Thursday, July 9, 2015, 16.00 Seminar room 0.011, Mathematical Institute, University of Bonn Speaker: Assaf Rinot (Bar-Ilan University) Title: Chain conditions of products Abstract: We shall survey the history of the study of the productivity of the k-cc in partial orders, topological spaces, and Boolean algebras. continue reading…