Assaf Rinot
Rock / Metal / Logic

"We are from the future, where the present is the past"



Toronto, Canada
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   Contacting Assaf Rinot

 Teaching this term: 
        MAT223: Linear Algebra I
   General Info
About
 I am a Fields-Ontario postdoctoral fellow at the University of Toronto Mississauga. My principal field of research is mathematical logic.
Alma mater I earned a Ph.D. from Tel-Aviv University (2010). My dissertation, entitled Squares, Diamonds and Stationary Reflection, was written under the supervision of Moti Gitik.
Research interests Set Theory, mainly, infinitary combinatorics, singular cardinals combinatorics, and set theoretic topology.
Date of birth I was born on Paul Erdös' 65th birthday
Erdös number 3
Status Married + 2


 

   Blurb
.מתמטיקה עושים ביסודיות, או לא עושים בכלל

   Publications
01. On the consistency strength of the Milner-Sauer conjecture, Ann. Pure Appl. Logic, 140(1-3): 110-119, 2006.
02. Aspects of singular cofinality, Contrib. Discrete Math., 2(2): 185-204, 2007.
03. Antichains in partially ordered sets of singular cofinality, Arch. Math. Logic, 46(5-6): 457-464, 2007.
04. On topological spaces of singular density and minimal weight, Topology Appl., 155(3): 135-140, 2007.
05. A topological reflection principle equivalent to Shelah's Strong Hypothesis, Proc. Amer. Math. Soc., 136(12): 4413-4416, 2008.
06. A cofinality-preserving small forcing may introduce a special Aronszajn tree, Arch. Math. Logic, 48(8): 817-823, 2009.
07. A relative of the approachability ideal, diamond and non-saturation, J. Symbolic Logic, 75(3): 1035-1065, 2010.
08. The search for diamonds, Bull. Symbolic Logic, 16(3): 420-423, 2010.
09. On guessing generalized clubs at the successors of regulars, Ann. Pure Appl. Logic, 162(7): 566-577, 2011.
10. Jensen's diamond principle and its relatives, Set Theory and Its Applications, Contemp. Math., 533: 125-156, Amer. Math. Soc., Providence, RI, 2011.
11. Openly generated Boolean algebras and the Fodor-type Reflection Principle (with S. Fuchino), Fund. Math., 212(3): 261-283, 2011.
12. The failure of diamond on a reflecting stationary set (with M. Gitik), Trans. Amer. Math. Soc., 364(4): 1771-1795, 2012.
13. Transforming rectangles into squares, with applications to strong colorings, Adv. Math., 231(2): 1085-1099, 2012.
14. Rectangular square-bracket operation for successor of regular cardinals (with S. Todorcevic), Fund. Math., 220(2): 119-128, 2013.

   Preprints
15. The Ostaszewski square, and homogeneous Souslin trees, to appear in Isr. J. Math.
16. Chromatic number of graphs - large gaps, to appear in Combinatorica.
17. Piste forcing (with M. Gitik and W. Weiss), work in progress.

   Notes
01. Shelah's solution to Whitehead's problem (In hebrew).
02. Infinite combinatorial topology.
03. Covering properties: separating Menger from Hurewicz.
04. Surprisingly short.



   Contributed and Invited Talks
Aug 8 2005 Logic in Hungary 2005 Budapest
May 5 2006 2006 Annual conference of the IMU Neve Ilan
Feb 19 2007 Workshop on Set Theory and its Applications Rehovot
Mar 5 2007 Singular Cardinal Combinatorics and Inner Model Theory Gainesville, Florida
Jan 25 2008 Young Researchers in Set Theory workshop Bonn
Mar 27 2009 Boise Extravaganza in Set Theory 18 Boise, Idaho
Jun 18 2009 ESI Workshop on Large Cardinals and Descriptive Set Theory Vienna
Aug 02 2009 Logic Colloquium 2009 Sofia
Jul 28 2010 Logic Colloquium 2010 Paris
Oct 07 2010 The 11th International Workshop on Set Theory in Luminy Marseille
Mar 22 2011 Young Researchers in Set Theory 2011 Königswinter
Dec 11 2011 2011 CMS Winter Meeting Toronto
Mar 31 2012 2012 ASL North American Annual Meeting Madison, Wisconsin
Sep 23-27 2013 ESI Workshop on Large Cardinals and Forcing Vienna
Jan 12-18 2014 Set Theory Oberwolfach


   Attended Meetings
March 2004 Cardinal Arithmetic at Work Jerusalem
May 2006 Workshop on the Urysohn space Beer Sheva
March 2007 The 2007 Annual Meeting of the ASL Gainesville, Florida
April 2009 Young Researchers in Set Theory 2009 Bellaterra
May 2009 The 2009 Annual meeting of the IMU Rehovot
February 2010 Young Researchers in Set Theory 2010 Raach am Hochgebirge
October 2011 Proper forcing remastered Chicago
July-December 2012 Thematic Program on Forcing and its Applications Toronto
May 2013 2013 ASL North American Annual Meeting Waterloo, Ontario


  
 
                                                                               
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