Research

Publications

  1. On 0,1-laws and asymptotics of definable sets in geometric Fraïssé classes. Fundamenta Mathematicae 239 (2017), 201-219. (pdf(link)
  2. with V. Guingona and L. Scow. Characterizating model-theoretic dividing lines via collapse of generalized indiscernibles. Annals of Pure and Applied Logic 168(5): 1091–1111, May 2017. (pdf) (link)
  3. with U. Andrews, D. Dushenin, J. Knight, A. Melnikov. Comparing classes of finite sums.
    Algebra and Logic, Vol. 54, No. 6, January, 2016. (Russian original: Vol. 54, No. 6, Nov-Dec, 2015). (pdf(link)
  4. with V. Guingona. On a common generalization of Shelah’s 2-rank, dp-rank, and o-minimal dimension. Annals of Pure and Applied Logic 166(4): 502-525, April 2015.(pdf(link)
  5. On (uniform) hierarchical decompositions of finite structures and model-theoretic geometry. Annals of Pure and Applied Logic 167(11): 1093–1122, November 2016. (link)
  6. with V. Guingona. On Vapnik-Chervonenkis density over indiscernible sequences. Mathematical Logic Quarterly 60(1-2): 59–65, 2014. (pdf) (link)
  7. Super/rosy Lk-theories and classes of finite structures. Annals of Pure and Applied Logic 164(10): 907-927, 2013. (link)
  8. with R. Mihaescu and S. Rao. Fast phylogeny reconstruction through learning of ancestral sequences. Algorithmica 66(2): 419-449, 2013.
  9. Efficiently inverting the L2-invariant through stability theory. In the proceedings of “Logical Approaches to Barriers in Computing and Complexity.” February 2010. Ernst-Moritz-Arndt Universität Preprint Series, ed. A. Beckman, C. Grassner, B. Löwe.
  10. with C. Daskalakis, A. Jaffe, R. Mihaescu, E. Mossel, and S. Rao. Maximal accurate forests from distance matrices. In the proceedings of “Research in Computational Molecular Biology, 10th Annual Internat’l Conference, RECOMB2006, Venice, Italy, 2-5 April 2006. Lecture Notes in Computer Science 3909, 281-295, ed. A. Apostolico et al.

Submitted or in preparation

  1. with V. Guingona. On positive local combinatorial dividing-lines in model theory. Submitted. (pdf)
  2. On 0,1-laws and super-simplicity. (Draft: pdf)
  3. Remarks on almost-sure theories of Fraïssé. Submitted. (pdf)
  4. A sufficient condition for super-simplicity of almost-sure theories. Submitted. (pdf)
  5. Dimension and simplicity for Ramsey-expandable classes of finite structures. Submitted. (pdf)
  6. Some model-theoretic remarks on structural Ramsey theory. Submitted. (pdf)
  7. Pseudo-finite $\aleph_0$-categorical theories via coordinatization. Submitted. (pdf)
  8. with A. Kruckman. Measure for measure for measure: Conditional independence and super-simplicity of $\aleph_0$-categorical almost-sure theories. In preparation.
  9. On semi/tame classes of finite structures. In preparation.
  10. with D. Lowengrub. Dimension in a class of theories generalizing o-minimal theories. In preparation.
  11. with M. Parnes. Invariant Keisler measures on certain $\aleph_0$-categorical structures. In preparation.