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Anush Tserunyan

Anush Tserunyan

Assistant Professor [CV]
Department of Mathematics, University of Illinois at Urbana-Champaign

Mathematics Ph.D. University of California at Los Angeles, 2013

Contact Information

Email: anush at illinois dot edu
Office: 369 Altgeld Hall
Office phone: (217) 300-7009

Research

Publications and preprints

  1. Finite generators for countable group actions in the Borel and Baire category settings, Advances in Mathematics, vol. 269 (2015), pp. 585-646 [pdf]
  2. A Ramsey theorem on semigroups and a general van der Corput lemma, Journal of Symbolic Logic, vol. 81 (2015), no. 2, pp. 718-741 [pdf]
  3. Mixing and triple recurrence in probability groups, submitted (2013) [pdf]
  4. Ph.D. Thesis, University of California at Los Angeles (2013) [pdf]
  5. Characterization of a class of graphs related to pairs of disjoint matchings, Discrete Mathematics, vol. 309 (2009), no. 4, pp. 693-713 [pdf]
  6. (with V.V. Mkrtchyan, V.L. Musoyan) On edge disjoint pairs of matchings, Discrete Mathematics, vol. 308 (2008), no. 23, pp. 5823-5828 [pdf]

Slides from talks

  1. Probability groups [pdf]
  2. A general van der Corput lemma and underlying Ramsey theory [pdf]
  3. Treeable-by-finite equivalence relations [pdf]
  4. Finite generating partitions for countable group actions [pdf]
  5. Generic finite generators [pdf]
  6. Weakly wandering sets and their generalizations [pdf]
  7. Ph.D. Defense [pdf]

Research related notes

  1. On the Effros space of certain topological spaces [pdf]
  2. Countable compact Hausdorff spaces are Polish [pdf]
  3. Greg Hjorth's proof of "E_0 is a universal hyperfinite equivalence relation" [pdf]
  4. Miri Segal's effective witness of measure-theoretic hyperfiniteness [pdf]

Teaching

Teaching history

Lecture notes and problem sets
  • A quick introduction to basic set theory [pdf] (last update: Jan 27, 2016)
  • Descriptive set theory: lecture notes (last update: May 10, 2016) and problem set (last update: May 10, 2016).
  • First order logic and Godel incompleteness: lecture notes (last update: Jun 25, 2016) and problem set.

Some links