Department of Mathematics

University of Illinois at Urbana-Champaign

1409 W. Green Street (MC-382)

Urbana, Illinois 61801-2975

**Baire theorem for ideals of sets**, J. Math. Anal. Appl. 445 (2017), 1221--1231
(with A. Aviles, V. Kadets, A. Perez)
[pdf]
[dvi]

**A Ramsey theorem for partial orders with linear extensions**, European J. Combin. 60 (2017), 21--30 (with Min Zhao)
[pdf]
[dvi]

**Dual Ramsey theorem for trees**
[pdf]
[dvi]

**Local compactness for computable Polish metric spaces is Pi^1_1-complete**, in *Evolving Computability*, Lecture Notes in
Computable Science, Springer 2015, pp.286--290 (with A. Nies)
[pdf]

**Tukey reduction among analytic directed orders**, in
*Selected Topics in Combinatorial Analysis*, Zbornik Radova 17 (25),
Mathematical Institute of the Serbian Academy of Arts and Sciences, 2015, pp.209--220
[pdf]

**Recent developments in finite Ramsey theory: foundational aspects and connections with dynamics**, in *Proceedings of the Inernational Congress of
Mathematicians*, Kyung Moon, 2014, vol.2, pp.103--115
[pdf]
[dvi]

**Unitary representations of the groups of measurable and continuous
functions with values in the circle**, J. Funct. Anal. 267 (2014),
3105--3124
[pdf]
[dvi]

**Closed subgroups generated by generic measure automorphisms**, Ergodic Theory Dynam. Systems
34 (2014), 1011--1017
[pdf]
[dvi]

** Borel equivalence relations and Lascar strong types**,
J. Math. Logic 13 (2013), 1--37 (with Krzysztof Krupinski and Anand Pillay)
[pdf]
[dvi]

**Abstract approach to finite Ramsey theory and a self-dual Ramsey theorem**, Adv. Math. 248 (2013), 1156--1198
[pdf]
[dvi]

**
A proof of uniqueness of the Gurarii space**,
Israel J. Math. 195 (2013), 449--456 (with Wieslaw Kubis)
[pdf]
[dvi]

** Abstract approach to Ramsey theory and Ramsey theorems for finite
trees**, in *Asymptotic Geometric Analysis*, Fields
Institute Communications, Springer, 2013, pp.313--340
[pdf]

**
A Boolean action of C(M,U(1)) without a spatial model and
a re-examination of the Cameron--Martin theorem**, J. Funct. Anal.
263 (2012), 3224--3234 (with Justin T. Moore)
[pdf]
[dvi]

**
Direct Ramsey theorem for structures involving relations and functions**,
J. Combin. Theory, Ser. A 119 (2012), 440--449
[pdf]
[dvi]

**G_\delta ideals of compact sets**, J. Eur. Math. Soc. 13 (2011),
853--882
[pdf]
[dvi]

**
Avoiding families and Tukey functions on the nowhere dense ideal,
**
J. Inst. Math. Jussieu 10 (2011), 405--435
(with Stevo Todorcevic)
[pdf]
[dvi]

**
Spatial models of Boolean actions and groups of isometries,
**
Ergodic Theory Dynam. Systems 31 (2011), 405--421
(with Aleksandra Kwiatkowska)
[pdf]
[dvi]

**
A Ramsey theorem for structures with both relations and functions,
**
J. Combin. Theory, Ser. A 117 (2010), 704--714
[pdf]
[dvi]

**
Recovering Baire one functions on ultrametric spaces,
**
Bull. Lond. Math. Soc. 41 (2009), 747--756 (with Jonathan Duncan)
[pdf]
[dvi]

**The coset equivalence relation and topologies on subgroups**, Amer.
J. Math. 131 (2009), 571--605
[pdf]
[dvi]

**Isometry groups of separable metric spaces**,
Math. Proc. Cambridge Philos. Soc. 146 (2009), 67--81 (with Maciej
Malicki)
[pdf]
[dvi]

**A G_\delta ideal of compact sets strictly above
the nowhere dense ideal in the Tukey order**, Ann. Pure Appl. Logic
156 (2008), 270--273 (with Justin T. Moore)
[pdf]
[dvi]

**Extreme amenability of L_0, a Ramsey theorem, and Levy groups**, J.
Funct. Anal. 255 (2008), 471--493 (with Ilijas Farah)
[pdf]
[dvi]

**A Fubini theorem**, Topology Appl. 154 (2007), 2462--2464
[pdf]
[dvi]

**Automatic continuity of homomorphisms and fixed point on metric
compacta**, Israel J. Math. 162 (2007), 349--372
(with Christian Rosendal)
[pdf]
[dvi]

**Amenability, free subgroups, and Haar null sets in non-locally
compact groups**, Proc. Lond. Math. Soc. 93 (2006), 693--722
[pdf]
[dvi]

**Trichotomies for ideals of compact sets**, J. Symbolic Logic
71 (2006), 586--598 (with Etienne Matheron and Miroslav Zeleny)
[pdf]
[dvi]

**Projective Fraisse limits and the pseudo-arc**,
Trans. Amer. Math. Soc. 358 (2006), 3077--3096 (with Trevor Irwin)
[pdf] [dvi]

**Borel subgroups of Polish groups**,
Adv. Math. 199 (2006), 499--541 (with Ilijas Farah) [pdf] [dvi]

**Extending partial isometries**, Israel J. Math. 150 (2005),
315--332
[pdf]
[dvi]

**Size of subsets of groups and Haar null sets**, Geom. Funct. Anal.
15 (2005), 246--273
[pdf] [dvi]

**Local inverses of Borel homomorphisms and analytic P-ideals**,
Abstr. Appl. Anal. 3 (2005), 207--220
[pdf]
[dvi]

**Cofinal types of topological directed orders**, Ann. Inst. Fourier
(Grenoble) 54 (2004), 1877--1911 (with Stevo Todorcevic)
[pdf] [dvi]

**Strong continuity of invariant probability charges**, Colloq.
Math. 101 (2004), 135--142 (with Harald Luschgy)
[pdf] [dvi]

**Two F_{sigma delta} ideals**, Proc. Amer. Math. Soc.
131 (2003), 1971--1975 (with Ilijas Farah)
[pdf] [dvi]

**Translation invariant ideals**, Israel J. Math. 135 (2003), 93--110
[pdf]
[dvi]

Last modified in 2016