I am currenlty a postdoctoral associate in the Department of Mathematical Sciences at the University of Carnegie Mellon.

I received my PhD in 2017 from the University of Illinois at Urbana Champaign, working under the supervision of S. Solecki. During 2017-2020 I was a Harry Bateman Research Instructor at the California Institute of Technology and in during 2020-2021 I was visiting the Cluster of Excellence: Dynamics-Geometry-Structure at the University of Münster as a postdoctoral fellow.

I got my undergraduate diploma in Applied Mathematics and Physics from the National Technical Univerity of Athens in 2012.

My research interests lie in the interactions between Descriptive Set Theory, Dynamics of Large Topological Groups, Algebraic Topology, Analysis, and Combinatorics.

Publications

• Strong ergodicity phenomena for Bernoulli shifts of bounded algebraic dimension. (with A. Shani).
  Submitted, May 2021.
• Universality vs Genericity and C₄-free graphs. (with K. Tent).
  Submitted, April 2021.
• The automorphism group of the random poset does not admit a generic pair. (with A. Kwiatkowska).
  Submitted, December 2020.
• The definable content of homological invariants I: Ext and lim ¹
  Preprint, September 2020. (with J. Bergfalk and M. Lupini).
• Dynamical obstructions to classification by (co)homology and other TSI-group invariants. (with S. Allison).
  Transactions of the American Mathematical Society (to appear)
• The generic combinatorial simplex. (with S. Solecki).
  Submitted, January 2020.
• Definable (co)homology, pro-torus rigidity, and (co)homological classification.
  Preprint, September 2019. (with J. Bergfalk and M. Lupini).
• On Polish groups admitting non-essentially countable actions.
  (with A.S. Kechris, M. Malicki, and J. Zielinski)
  Ergodic Theory and Dynamical Systems, 10.1017/etds.2020.133, (2020), 1-15.
• Examples of weak amalgamation classes.
  (with A. Krawczyk, A. Kruckman, and W. Kubiś)
  Submitted, July 2019, (Archive for Mathematical Logic).
• A combinatorial model for the Menger curve. (with S. Solecki)
  Journal of Topology and Analysis, 10.1142/S1793525320500478, (2020) 1-27.
• Higher dimensional obstructions for star reductions. (with A. Kruckman)
  Fundamenta Mathematicae, (To appear)
• Games orbits play and obstructions to Borel reducibility. (with M. Lupini)
  Groups, Geometry, and Dynamics. 12(4), (2018), 1461-1483.
• Compact spaces as quotients of projective Fraisse limits.
  Preprint, January 2016.
• Extendability of automorphisms of generic substructures.
  Israel Journal of Mathematics 208, (2015), 483-508.

Lecture Notes

• Topics in computability. Notes for Math 117c (2019)
• A course on Gödel's incompleteness theorems. Notes for Math 117b (2019)
• Groups and dynamics. A graduate course in dynamics of topological groups (2018)

Currently Teaching

Algebraic Topology(21-752) at CMU. Here is the course webpage.

Courses Taught

Set theory of the continuum. Caltech, Spring 2020. Here is the course webpage.

Axiomatic Set Theory. Caltech, Winter 2020. Here is the course webpage.

Mathematical Logic. Caltech, Fall 2019 Here is the course webpage.

Computability III: advanced topics. Caltech, Spring 2019. Here is the course webpage.

Computability II & Gödel's incompleteness theorems. Caltech, Winter 2019. Here is the course webpage.

Groups and Dynamics. Caltech, Fall 2018. Here is the course webpage.

Descriptive Set Theory. Caltech, Spring 2018. Here is the course webpage.

Axiomatic Set Theory. Caltech, Winter 2018. Here is the course webpage.

Mathematical Logic. Caltech, Fall 2017. Here is the course webpage.

Ideas in Geometry. UIUC, Spring 2017. Here is the course webpage.

Calculus II. UIUC, Spring 2016. Here is the course webpage.

Service and Employment

Fall, Winter, and Spring 2019. I organized the Postdoc Math Seminar

Spring 2019. I organized the Homotopy type theory learning seminar.

Fall 2016 and Spring 2017. Member of the Graduate Affairs Committee, math department, UIUC.

Spring 2014. I was a teaching assistant on a volunteer basis at the Danville correctional center for Education Justice Project (EJP). Based on a past joint work with N. Kotsani I also offered the seminar "Art & Mathematics" at Danville.

Sept. 2010 - June 2012 I was an instructor for the cross-curricular education program “Art & Mathematics” at Herakleidon Museum, Experience in Visual Arts .