Assaf Rinot
Rock / Metal / Logic 


"The thought contains the possibility of the state of affairs which it thinks. What is thinkable is also possible."
Tel Aviv, Israel

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General Info 
About

I am a faculty member in the Department of Mathematics, BarIlan University. 
Research interests 
My principal fields of research are Mathematical Logic and Set Theory.
I am mostly interested in infinitary combinatorics: partition relations, singular cardinals combinatorics, and set theoretic topology.

Contact

Department of Mathematics BarIlan University RamatGan 52900 Israel 
Status 
Married + 2

Trivia 
I was born on Paul Erdös' 65th birthday. 
Erdös number 

Coauthors 
Sakae Fuchino,
Moti Gitik,
Stevo Todorcevic. 



Blurb 
.מתמטיקה עושים ביסודיות, או לא עושים בכלל


Research papers 


▷ On the consistency strength of the MilnerSauer conjecture, Ann. Pure Appl. Logic, 140(13): 110119, 2006.

▷ Aspects of singular cofinality, Contrib. Discrete Math., 2(2): 185204, 2007.

▷ Antichains in partially ordered sets of singular cofinality, Arch. Math. Logic, 46(56): 457464, 2007. 
▷ On topological spaces of singular density and minimal weight, Topology Appl., 155(3): 135140, 2007. 
▷ A topological reflection principle equivalent to Shelah's Strong Hypothesis, Proc. Amer. Math. Soc., 136(12): 44134416, 2008. 
▷ A cofinalitypreserving small forcing may introduce a special Aronszajn tree, Arch. Math. Logic, 48(8): 817823, 2009. 
▷ A relative of the approachability ideal, diamond and nonsaturation, J. Symbolic Logic, 75(3): 10351065, 2010. 
▷ On guessing generalized clubs at the successors of regulars, Ann. Pure Appl. Logic, 162(7): 566577, 2011. 
▷ Openly generated Boolean algebras and the Fodortype Reflection Principle (with S. Fuchino), Fund. Math., 212(3): 261283, 2011. 
▷ The failure of diamond on a reflecting stationary set (with M. Gitik), Trans. Amer. Math. Soc., 364(4): 17711795, 2012. 
▷ Transforming rectangles into squares, with applications to strong colorings, Adv. Math., 231(2): 10851099, 2012. 
▷ Rectangular squarebracket operation for successor of regular cardinals (with S. Todorcevic), Fund. Math., 220(2): 119128, 2013. 
▷ The Ostaszewski square, and homogeneous Souslin trees, Isr. J. Math, 199(2): 9751012, 2014. 
▷ Chain conditions of products, and weakly compact cardinals, Bull. Symbolic Logic, 20(3): 293314, 2014. 
▷ Complicated colorings, Math. Res. Lett., 21(6): 1367–1388, 2014. 
▷ Chromatic number of graphs  large gaps, Combinatorica, 35(2): 215233, 2015. 
▷ Putting a diamond inside the square, Bull. Lond. Math. Soc., 47(3): 436442, 2015. 

Surveys and Reviews 
▷ Jensen's diamond principle and its relatives, Set Theory and Its Applications, Contemp. Math., 533: 125156, Amer. Math. Soc., Providence, RI, 2011. 
▷ The search for diamonds, Bull. Symbolic Logic, 16(3): 420423, 2010. 
▷ Stevo Todorcevic’s CRMFieldsPIMS Prize Lecture, Fields Notes, 13, Winter 2013. 

