Stability in a group
accepted to Groups, Geometry, and Dynamics
(arXiv, pdf)
Structure and regularity for subsets of groups with finite VC-dimension, with A. Pillay and C. Terry
accepted to Journal of the European Mathematical Society
(arXiv, pdf)
Pseudofinite groups and VC-dimension, with A. Pillay
accepted to Journal of Mathematical Logic
(arXiv, pdf)
Publications
Quantitative structure of stable sets in arbitrary finite groups
Proceedings of the American Mathematical Society 149 (2021) no. 9, 4015-4028
(arXiv, pdf)
On finite sets of small tripling or small alternation in arbitrary groups
Combinatorics, Probability and Computing 29 (2020) no. 6, 807-829 (arXiv, pdf)
Weakly minimal groups with a new predicate, with M. C. Laskowski
Journal of Mathematical Logic 20 (2020) no. 2 (arXiv, pdf)
Remarks on generic stability in independent theories, with K. Gannon
Annals of Pure and Applied Logic 171 (2020), no. 2 (arXiv, pdf)
A group version of stable regularity, with A. Pillay and C. Terry
Mathematical Proceedings of the Cambridge Philosophical Society 168 (2020), 405-413 (arXiv, pdf)
Independence in generic incidence structures, with A. Kruckman
Journal of Symbolic Logic 84 (2019), no. 2, 750-780 (arXiv, pdf)
Stability and sparsity in sets of natural numbers
Israel Journal of Mathematics 230 (2019), no. 1, 471-508 (arXiv, pdf)
Definable sets containing productsets in expansions of groups, with U. Andrews and I. Goldbring
Journal of Group Theory 22 (2019), no. 1, 63-82 (arXiv, pdf)
Multiplicative structure in stable expansions of the group of integers
Illinois Journal of Mathematics 62 (2018), no. 1-4, 341-364 (arXiv, pdf)
On the complexity of finite subgraphs of the curve graph, with E. Bering and J. Gaster Osaka Journal of Mathematics 55 (2018), 795-808 (arXiv, pdf)
Stable groups and expansions of (Z,+,0), with A. Pillay
Fundamenta Mathematicae 242 (2018), no. 3, 267-279 (arXiv, pdf)
There are no intermediate structures between the group of integers and Presburger arithmetic
Journal of Symbolic Logic 83 (2018), no. 1, 187-207 (arXiv, pdf)
Forking and dividing in Henson graphs Notre Dame Journal of Formal Logic 58 (2017), no. 4, 555-566 (arXiv, pdf)
An axiomatic approach to free amalgamation Journal of Symbolic Logic 82 (2017), no. 2, 648-671 (arXiv, pdf)
Neostability in countable homogeneous metric spaces Annals of Pure and Applied Logic 168 (2017), no. 7, 1442-1471 (arXiv, pdf)
Distance structures for generalized metric spaces Annals of Pure and Applied Logic 168 (2017), no. 3, 622-650 (arXiv, pdf)
A remark on strict independence relations Archive for Mathematical Logic 55 (2016), no. 3-4, 535-544 (arXiv, pdf)
Model theoretic properties of the Urysohn sphere, with C. Terry Annals of Pure and Applied Logic 167 (2016), no. 1, 49-72 (arXiv, pdf)
Research Notes
Forking and dividing with free amalgamation, with Alex Kruckman(pdf)
Definable types and f-generics in Presburger arithmetic, with Somayeh Vojdani
(pdf)