Assaf Rinot is an Associate 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: 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…

P.O.I workshop in Pure and Descriptive Set Theory, Turin, September 25-26th, 2015

The logic group in Turin is pleased to announce a two-day workshop on Pure and Descriptive Set Theory. This workshop concludes the San Paolo junior PI grant “New Perspectives On the nature of Infinity”. continue reading…

Forcing and its applications: Retrospective Workshop, March 29 – April 2, 2015

The meeting will take place at the Field Institute, 222 College Street, Toronto. About In the years 1963-1964, Paul Cohen developed the method of forcing in order to settle Cantor’s Continuum Problem.  continue reading…

Assaf Rinot: Putting a diamond inside the square

Infinite Combinatorics Seminar (BIU) 25/January/2015, 10:15-12:00, Room 201, Building 216, Bar-Ilan University Speaker: Assaf Rinot Title: Putting a diamond inside the square Abstract: Gray’s combinatorial principle SD_k is a strong combination of Jensen’s $\square_\kappa$ and $\diamondsuit(\kappa^+)$ principles. continue reading…

Arthur Apter & Moti Gitik’s 60th birthday meeting, CMU, May 30-31 2015

There will be a meeting at CMU May 30-31 2015 in honour of Arthur Apter and Moti  Gitik. Speakers: Omer Ben-Neria Joel Hamkins Peter Koepke Menachem Magidor (canceled) Bill Mitchell Assaf Rinot Ralf-Dieter Schindler Dima Sinapova Hugh Woodin Timetable Saturday 30 May 8:45-9:30: Refreshments (Wean Hall 6220) 9:30-10:15: Assaf Rinot, “Putting a diamond inside the square”. continue reading…

Double session at Fields Institute (D. Bartosova and A. Rinot)

Place: Fields Institute, Room 210 Date: 17-October- 2014 Time: 12:30-15:00 Speaker 1 (from 12:30 to 13:30): Dana Bartosova Title: Finite Gowers’ Theorem and the Lelek fan Abstract: The Lelek fan is a unique non-degenrate subcontinuum of the Cantor fan with a dense set of endpoints. continue reading…

Assaf Rinot: Weakly compact cardinals and Boolean algebras

Friday Set Theory Seminar (HUJI) We shall meet next Friday (April 4th) in the Hebrew University math department building, at 10 am. Speaker: Assaf Rinot (BIU) Title: Weakly compact cardinals and Boolean algebras Abstract: The kappa-chain-condition is productive for weakly compact cardinals kappa, and for kappa=w1 under martin’s axiom. continue reading…

Assaf Rinot: Complicated Colorings

Set Theory Seminar (HUJI) Dear all, We shall meet this Friday (February 21st) in the Hebrew University math department building, at 10 am. Speaker: Assaf Rinot (BIU) Title: Complicated Colorings Abstract: For regular cardinals $\lambda$ and $\kappa$, with $\lambda>\kappa^+$, $Pr1(\lambda,\lambda,\lambda,\kappa)$ holds provided that $\{\alpha<\lambda\mid cf(\alpha)\ge\kappa\}$ admits a nonreflecting stationary set. continue reading…

MFO workshop in Set Theory, Oberwolfach, January 2014

These are title of the talks from the 2014 Oberwolfach meeting. Below, are some of the slides. Brendle – Rothberger gaps in analytic quotients Conley – Measurable analogs of Brooks’s theorem for graph colorings Cramer – Inverse limit reflection and generalized descriptive set theory Cummings – Combinatorics at successors of singulars Dobrinen – Progress in topological Ramsey space theory Dzamonja – Combinatorial versions of SCH Fischer – Template iterations and maximal cofinitary groups Gitik – Short extenders forcings and collapses Golshani – The effects of adding a real to models of set theory Koepke – An Easton-like Theorem for ZF Set Theory Krueger – Forcing square with finite conditions Lupini – Borel complexity and automorphisms of $C^*$-algebras Melleray – Full groups of minimal homeomorphisms and descriptive set theory Mildenberger – Specialising Aronszajn trees in a gentle way Moore – Completely proper forcing and the Continuum Hypothesis Motto Ros – On the descriptive set-theoretical complexity of the embeddability relation on uncountable models Neeman – Higher analogues of PFA Rinot – Complicated Colorings Sabok – Automatic continuity for isometry groups Sargsyan – Core Model Induction and Hod Mice Schindler – Does $\Pi^1_1$  determinacy yield 0#? continue reading…

Assaf Rinot: Complicated colorings for double successors

Forcing Seminar (Tel-Aviv University) Wednesday, 01/Jan/2014, 9-11. Room 209, Schriber building, Tel-Aviv University. Speaker: Assaf Rinot Title: Complicated colorings for double successors Abstract: Let $Pr_1(\lambda,\kappa)$ assert the existence of a coloring $c:[\lambda]^2\rightarrow\lambda$ with the property that for every sequence $\langle t_\alpha \mid \alpha<\lambda\rangle$ of pairwise disjoint elements of $[\lambda]^{<\kappa}$, and every $\gamma<\lambda$, there exists $\alpha<\beta<\lambda$ with $c[t_\alpha\times t_\beta]=\{\gamma\}$. continue reading…