- The relative commutant of separable C*-algebras of real rank zero, version of October 2008. To appear in Journal of Functional Analysis.
 
- The commutant of L(H) in its ultrapower may or may not be trivial (joint with N. Christopher Phillips and Juris Steprans), August 2008.
- All automorphisms of the Calkin algebra are inner, March 2007. A revised version of December 21, 2008.
The proof of Lemma 7.2 has been fixed and shortened.
The slides from my tutorial on automorphisms of the Calkin algebra at the Luminy set theory workshop, September 22-26, 2008, are available here and also in a more compact version They may be used as a guide to the proof. Please note that the terminology used in the talk somewhat differs from that used in the paper. I hope that a slightly different angle may help in understanding the proof.
- Nonhomogeneity in products of beta-N spaces, Topology and its applications 155 (2008) 273-276.
- Extreme amenability of L_0, a Ramsey theorem, and Levy groups, (with Slawek Solecki),
Journal of Functional Analysis. (255) (2008) 471-493.
- Maharam algebras and Cohen reals, (with Boban Velickovic)
Proceedings of the American Mathematical Society, 135 (2007) 2283-2290.
- The fourth head of beta-N. Open Problems in Topology II, E.M. Pearl, ed., Elsevier, 2007, 135-140.
- Absoluteness for universally Baire sets and the uncountable II, (joint with Richard Ketchersid , Paul B. Larson and Menachem Magidor) 163-191.
- Absoluteness for universally Baire sets and the uncountable I. (joint with Paul B. Larson)
Quaderni di Matematica. 17 (2006) Set Theory: Recent Trends and Applications, A. Andretta, ed., 47-92.
- A proof of the Sigma-2-1 absoluteness theorem. Advances in Logic, S. Gao, S. Jackson and Y. Zhang, eds., Contemporary Mathematics, 425 (2007) American Mathematical Society, RI., 9-22
.
- Von Neumann's problem and large cardinals, (joint with Boban Velickovic) Bulletin of the London Math. Soc. 38 (2006) 907-912.
- A countable dense homogeneous set of size aleph_1 (with Michael Hrusak and Carlos Azarel Martinez Ranero), Fundamenta Mathematicae186 (2005), 71-77.
- Four and more, Annals of Pure and Applied Logic 140 (2006), 3-39 (joint with Jindra Zapletal).
- Analytic Hausdorff gaps II: the density zero ideal, Israel Journal of Mathematics 154 (2006) 235-246.
- Between Maharam's and von Neumann's problems, (joint with Jindra Zapletal) Mathematics Research Letters, 11 (2004), no. 5-6, 673-684.
- Examples of epsilon-exhaustive submeasures, Fundamenta Mathematicae 181 (2004), 257-272.
- Borel subgroups of Polish groups. (joint with Slawek Solecki) Advances in Mathematics, 199 (2006), 499-541.
- Is P(omega) a subalgebra? (joint with Alan Dow). Fundamenta Mathematicae, 183 (2004), 91-108.
- Luzin gaps, Trans. Amer. Math. Soc. 356 (2004), 2197-2239.
- Reductions between meager ideals, Fundamentalnaya i Prikladnaya Matematika 11 (2005), 213-219.
(Russian translation available here.)
- Two F-sigma-delta ideals, (with Slawek Solecki), Proceedings of the American Mathematical Society 131 (2003), 1971-1975.
- How many Boolean algebras P(N)/I are there?, Illinois Journal of Mathematics 46 (2003), 999-1033.
- Analytic Hausdorff gaps, DIMACS Series, 58 (2002), 65-72.
- Rigidity conjectures, (a survey of new developments since Analytic quotients was completed. In: Proceedings of Logic Colloquium 2000, R. Cori et al., editors. (2005), 252--271.
- Powers of N*, Proceedings of the American Mathematical Society, 130 (2002), 1243-1246.
- Partition theorems for layered partial semigroups, (with Neil Hindman and Jillian McLeod) Journal of Combinatorial Theory, Ser. A, 98 (2002), 268-311.
- Dimension phenomena associated with beta-N spaces, Topology and its Applications, 125 (2002), 279-297.
- Functions essentially depending on at most one variable, Journal of Combinatorial Theory, Ser. A, 94 (2001), 169-177.
- Basis problem for turbulent actions II: C_0-equalities, Proceedings of the London Mathematical Society, 82 (2001), 1--30.
- Basis problem for turbulent actions I: Tsirelson submeasures Annals of Pure and Applied Logic (Proceedings of XI SLALM) 108 (2001), 189-203
- Approximate homomorphisms II: Group homomorphisms, Combinatorica 20, (2000), 47-60.
- Analytic quotients: theory of liftings for quotients over analytic ideals on the integers (Memoirs of the American Mathematical Society, 148, No. 702, 177 pp. November 2000)
Order it here.
Analytic quotients homepage.
- Liftings of homomorphisms between quotient structures and Ulam stability,
In: S. Buss et. al, editors, Logic Colloquium '98, Lecture notes in logic 13, A.K. Peters, (2000), 173-196.
- Ideals induced by Tsirelson submeasures , Fundamenta Mathematicae, 159, (1999) 243-258.
- Cauchy nets and open colorings, Publications de l'Institut Mathematique, 64 (1998), 146-152.
- Approximate homomorphisms, Combinatorica, 18, (1998), 335-348.
- Semiselective coideals, Mathematika, 45, (1998), 79-103.
- Completely additive liftings, The Bulletin of Symbolic Logic, 4, (1998), 37-54.
- OCA and towers in P(N)/fin, Commentationes Mathematicae Universitatis Carolinae, 37, (1996), 861-866.
- Embedding partially ordered sets into omega^omega, Fundamenta Mathematicae, 151, (1996), 53-95.
- A coherent family of partial functions on N, Proceedings of the American Mathematical Society 124, (1996), 2845-2852.
- Some Applications of the Method of Forcing, Yenisei, Moscow (1995) (146 p.) (coauthored with Stevo Todorcevic)
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