**Publications:**

- A cofinality-preserving small forcing may introduce a special Aronszajn tree
- A Microscopic approach to Souslin-tree constructions. Part I
- A relative of the approachability ideal, diamond and non-saturation
- A topological reflection principle equivalent to Shelah’s strong hypothesis
- Antichains in partially ordered sets of singular cofinality
- Aspects of singular cofinality
- Chain conditions of products, and weakly compact cardinals
- Chromatic numbers of graphs – large gaps
- Complicated Colorings
- Hedetniemi’s conjecture for uncountable graphs
- Higher Souslin trees and the GCH, revisited
- Jensen’s diamond principle and its relatives
- More notions of forcing add a Souslin tree
- On guessing generalized clubs at the successors of regulars
- On the consistency strength of the Milner-Sauer conjecture
- On topological spaces of singular density and minimal weight
- Openly generated Boolean algebras and the Fodor-type reflection principle
- Ordinal definable subsets of singular cardinals
- Putting a diamond inside the square
- Rectangular square-bracket operation for successor of regular cardinals
- Reduced powers of Souslin trees
- Reflection on the coloring and chromatic numbers
- Same Graph, Different Universe
- Square with built-in diamond-plus
- Strong failures of higher analogs of Hindman’s Theorem
- The eightfold way
- The failure of diamond on a reflecting stationary set
- The Ostaszewski square, and homogeneous Souslin trees
- The search for diamonds
- Transforming rectangles into squares, with applications to strong colorings

**Selected talks:**

- 2017 Workshop in Set Theory, Oberwolfach
- Set Theory and its Applications in Topology, September 2016
- P.O.I. Workshop in pure and descriptive set theory, September 2015
- The Apter-Gitik birthday conference, May 2015
- Forcing and its Applications Retrospective Workshop, April 2015
- INFTY Final Conference, March 2014
- 2014 Workshop in Set Theory, Oberwolfach
- Mathematics Colloquium, Bar-Ilan University, November 2013
- 2013 Set Theory Programme on Large Cardinals and Forcing
- Infinite Combinatorics Seminar, Haifa University, June, 2012
- 2012 North American Annual Meeting of the ASL
- 2011 CMS Winter Meeting
- Young Researchers in Set Theory 2011
- The 11th International Workshop on Set Theory in Luminy
- Logic Colloquium 2010
- Logic Colloquium 2009
- ESI Workshop on Large Cardinals and Descriptive Set Theory
- 18th Boise Extravaganza in Set Theory
- Singular Cardinal Combinatorics and Inner Model Theory
- Workshop on Set Theory and its Applications
- 2006 Annual conference of the IMU
- Logic in Hungary 2005

**Notes:**