Professor of Mathematics

University of Illinois at Chicago

Various topics of my research are listed here with references to the publication list below indicated in [].

- Infinite-dimensional Ramsey theory and infinite games of perfect information [12,16,17,26,27,32]
- Model theory, structural Ramsey theory, exact and approximate homogeneity of Fraisse classes [20,21,37]
- Decision procedures and finite approximations of monoids with connections to Computer Science [20,21,28]
- Small and large scale geometrisation of topological groups [3,5,7,13,35]
- Geometric group theory [4,10,22]
- Harmonic analysis of isometry groups [2,9,10,14,15]
- Ergodic theory and dynamical systems [28,29,37,38]
- Banach space geometry [2,18,27,41,43,45]
- Geometric non-linear functional analysis [6]
- Descriptive Classification Theory [8,23,40,42,47]
- Classification problems in Functional Analysis, C*-algebra and Topology [11,23,30,44,46]
- Topological rigidity of transformation groups [25,33,36]
- Automorphism groups of model theoretical structures [3,20,28,37]
- Geometric topology [7,34]

- Ph.D., Mathematics, Paris 6, 2003.
- Cand. Scient., Mathematics, University of Oslo, 2002.
- DEA, Mathematical Logic, Paris 7, 2000.
- Curriculum Vitae.

Editor for thesis abstracts, Bulletin of Symbolic Logic.

- Calculus III, MATH 241, Fall 2017, UMD.
- Dynamics and Chaos, MATH 452, Fall 2017, UMD.
- Calculus I, MATH 140, Spring 2017, UMD.
- Advanced Calculus I, MATH 410, Spring 2017, UMD.
- Advanced Calculus I, MATH 410, Fall 2016, UMD.
- Calculus III, MATH 241H, Fall 2016, UMD.
- Introduction to Advanced Mathematics, MATH 215, Spring 2016.
- Applied Linear Algebra, MATH 310, Spring 2016.
- Abstract Algebra, MATH 330, Spring 2015.
- Complex Analysis, MATH 417, Spring 2015.
- Descriptive Set Theory, MATH 511, Spring 2015.
- Abstract Algebra, MATH 330, Spring 2014.
- Linear Algebra II, MATH 425, Spring 2014.

- Descriptive Set Theory, MATH 511, Spring 2012.
- Mathematical Logic/Metamathematics I, MATH 502, Fall 2011.
- Calculus II, MATH 181, Fall 2011.
- Set Theory, MATH 504, Fall 2010.
- Formal languages, automata and decision problems in algebra, MATH 503, Spring 2010.
- Mathematical Logic, MATH 430, Fall 2009.
- Descriptive set theory, MATH 512, Spring 2009.
- Abstract algebra, MATH 330, Fall 2008.
- Linear algebra, MA 415, Spring 2008, UIUC.
- Computability theory, MA 573, Spring 2008, UIUC.
- Descriptive set theory, MA 595, Fall 2007, UIUC.
- Banach spaces and Ramsey theory, MA 595, Spring 2007, UIUC.
- Linear algebra, MA 415, Spring 2007, UIUC.

**Continuity of universally measurable homomorphisms,**pdf.**Light groups of isomorphisms of Banach spaces and invariant LUR renormings,**(joint with L. Antunes, V. Ferenczi and S. Grivaux), to appear in Pacific J. Math .pdf.**Coarse Geometry of Topological Groups,**(book manuscript , version of March 2018) pdf.**Coarse equivalence and topological couplings of locally compact groups**(joint with U. Bader), Geometriae Dedicata 196 (2018), 1-9, pdf file; online published version.**Lipschitz structure and minimal metrics on topological groups,**Arkiv för matematik, Vol. 56, No. 1 (2018), pp. 185-206, pdf.**Equivariant geometry of Banach spaces and topological groups**, Forum of Mathematics, Sigma, (2017), Vol. 5, e22, 62 pages pdf.**Large scale geometry of homeomorphism groups**(joint with K. Mann), Ergodic Theory and Dynamical Systems 38 (2018), no. 7, 2748-2779, pdf.**Compact metrizable structures and classification problems**(joint with J. Zielinski), J. Symb. Logic 83 (2018), no. 1, 165–186, pdf.**Non-unitarisable representations and maximal symmetry**(joint with V. Ferenczi), J. Inst. Math. Jussieu, Volume 16, Issue 2 April 2017, pp. 421-445 pdf .**On the cohomology of weakly almost periodic group representations,**(joint with U. Bader and R. Sauer), J. Topology and Analysis 6 (2014), no. 2, 153–165 pdf. (An earlier version in a more geometric language can be found here.)**The isomorphism relation for separable C*-algebras,**(joint with G. A. Elliott, I. Farah, V. I. Paulsen, A. S. Toms and A. Törnquist), Math. Res. Lett. 20 (2013), no. 6, 1071-1080. pdf.**Determinacy of adversarial Gowers games,**Fund. Math. 227 (2014), no. 2, 163-178 pdf.**Global and local boundedness of Polish groups,**Indiana Univ. Math. J. 62 (2013), no. 5, 1621-1678 pdf.**On isometry groups and maximal symmetry,**(joint with V. Ferenczi) Duke Math. J. 162 (2013), no. 10, 1771-1831. pdf.**Displaying Polish groups on separable Banach spaces,**(joint with V. Ferenczi) Extracta Mathematicae 26 (2011), no. 2, 195-233, pdf.**Characterising subspaces of Banach spaces with a Schauder basis having the shift property,**Studia Mathematica 207 (2011), no. 1, 59-73, pdf.**Alpha-minimal Banach spaces,**J. Functional Analysis 262 (2012), no. 8, 3638-3664, pdf.**Banach spaces without minimal subspaces - Examples,**(joint with V. Ferenczi) Annales de l'Institut Fourier 62 (2012), no. 2, 439-475, pdf.**Subspace structure of some operator and Banach spaces,**(joint with T. Oikhberg) J. Logic and Analysis 3 (2011), no. 2, 1-31, pdf.**Finitely approximable groups and actions. Part 2: Generic representations,**J. Symbolic Logic 76 (2011), no. 4, 1307-1321, pdf.**Finitely approximable groups and actions. Part 1: The Ribes-Zalesskii property,**J. Symbolic Logic 76 (2011), no. 4, 1297-1306, pdf.**Completely metrisable groups acting on trees,**J. Symbolic Logic 76 (2011), no. 3, 1005-1022, pdf.**Descriptive Classification Theory and Separable Banach Spaces,**Notices of the American Mathematical Society, October 2011, 1251-1262, pdf.**Universally measurable subgroups of countable index**J. Symbolic Logic 75 (2010), no. 3, 1081-1086, pdf.**Automatic continuity of group homomorphisms.**Bull. Symbolic Logic 15 (2009), no. 2, 184-214, pdf.**An exact Ramsey principle for block sequences.**Collectanea Mathematica 61 (2010), no. 10, 25-36, pdf. A subsequent slicker version is available here.**Banach spaces without minimal subspaces,**(joint with V. Ferenczi) J. Functional Analysis 257 (2009), no. 1, 149-193, pdf.**The generic isometry and measure preserving homeomorphism are conjugate to their powers.**Fundamenta Mathematicae 205 (2009), no. 1, 1-27, pdf.**Descriptive Kakutani equivalence,**(joint with B. D. Miller) Journal of the European Mathematical Society 12 (2010), no. 1, 179-219, pdf**The complexity of classifying separable Banach spaces up to isomorphism,**(joint with V. Ferenczi and A. Louveau) J. London Math. Soc. 79 (2009), no. 2, 323-345, pdf.**Complexity and homogeneity in Banach spaces,**(joint with V. Ferenczi) Banach Spaces and their Applications in Mathematics, Ed. Beata Randrianantoanina and Narcisse Randrianantoanina, Walter de Gruyter, Berlin, p. 83-110, pdf**Infinite asymptotic games.**Annales de l'Institut Fourier 59 (2009), no. 4, 1323-1348, pdf**On the algebraic structure of the unitary group,**(joint with E. Ricard) Collect. Math. 58 (2007), no. 2, 181-192, pdf.**Automatic continuity in homeomorphism groups of compact 2-manifolds,**Israel Journal of Math. 166 (2008), 349-367, pdf.**A topological version of the Bergman property.**Forum Mathematicum 21 (2009), no. 2, 299-332, pdf.**Automatic continuity of homomorphisms and fixed points on metric compacta,**(joint with S. Solecki), Israel Journal of Math. 162 (2007), 349-371, pdf.**Turbulence, amalgamation and generic automorphisms of homogeneous structures,**(joint with A. S. Kechris), Proc. London Math. Soc. 94 (2007), no. 2, 302-350, pdf.**Isomorphisms of Borel full groups,**(joint with B. D. Miller) Proc. Amer. Math. Soc. 135 (2007), no. 2, 517-522, pdf.**On the non-existence of certain group topologies.**Fundamenta Mathematicae 187 (2005), 213-228, pdf.**Complete analytic equivalence relations,**(joint with A. Louveau) Trans. Amer. Math. Soc. 357 (2005), no. 12, 4839-4866, pdf.**Incomparable, non-isomorphic and minimal Banach spaces.**Fundamenta Mathematicae, 183 (2004), no. 3, 253-274, pdf.**Cofinal families of Borel equivalence relations and quasiorders.**J. Symbolic Logic 70 (2005), no. 4, 1325-1340, pdf.**Ergodic Banach spaces,**(joint with V. Ferenczi) Advances in Mathematics 195 (2005), no. 1, 259-282, pdf.**The complexity of continuous embeddability between dendrites,**(joint with A. Marcone) J. Symbolic Logic 69 (2004), no. 3, 663-673, pdf.**On a problem of H. P. Rosenthal concerning a characterization of c0 and lp,**(joint with V. Ferenczi and A. M. Pelczar) Bull. London Math. Soc. 36 (2004), no. 3, 396-406, pdf.**On the number of non-isomorphic subspaces of a Banach space,**(joint with V. Ferenczi), Studia Mathematica 168 (2005), no. 3, 203-216, pdf.-
**Relations d'equivalence analytiques completes,**(joint with A. Louveau), C. R. Acad. Sci. Paris Ser. I Math. 333 (2001), no. 10, 903-906, pdf.

Department of Mathematics, Statistics, and Computer Science (M/C 249)

University of Illinois at Chicago

851 S. Morgan Street

Chicago, IL 60607-7045

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