The Hausdorff medal is awarded biennially (i.e. once every two years) for the most influential work in set theory published in the five years preceding the medal.
The 4th Hausdorff Medal 2019 for the most influential work in set theory
in the previous 5 years was awarded to Itay Neeman (UCLA) at the European Set Theory Conference, the biennial conference of the ESTS, in Vienna on 1 July 2019.
The medal was awarded for his work on the new method of iterating forcing using side conditions and the tree property. The committee cited the following papers for their fundamental contributions and for opening up the new directions of study:
– Forcing with sequences of models of two types, Notre Dame J. Formal
Logic, vol. 55 (2014), pp. 265–298,
– Two applications of finite side conditions at ω2. Arch. Math. Logic 56
(2017), no. 7-8, 983–1036
– The tree property up to ℵω+1. J. Symb. Log. 79 (2014), no. 2,
General topology meets model theory, on p and t. Proc. Natl. Acad. Sci. USA 110 (2013), no. 33, 13300-13305,
and then expounded in the detailed, 60 page long version:
Cofinality spectrum theorems in model theory, set theory, and general topology. J. Amer. Math. Soc. 29 (2016), no. 1, 237-297.
The medal was awarded to the paper
K without the measurable, The Journal of Symbolic Logic, Volume 78, Issue 3 (2013), pp.708-734
by Ronald Jensen and John Steel.
The medal medal was awarded to the papers
Suitable extender models I. J. Math. Log. 10 (2010), no. 1-2, pp.101–339
Suitable extender models II: beyond omega-huge. J. Math. Log. 11 (2011), no. 2, pp.115–436
by W. Hugh Woodin, where the author made a major contribution to the inner model theory of supercompact cardinals and beyond.