Gabriel Conant

Stable functions and Følner's Theorem

arXiv.2410.13766

An analytic version of stable arithmetic regularity

with A. Pillay
arXiv.2401.14363

Pseudofinite proofs of the stable graph regularity lemma

with C. Terry
arXiv.2308.16809

Compactifications of pseudofinite and pseudo-amenable groups

with E. Hrushovski and A. Pillay
arXiv.2308.08440

Generic stability, randomizations, and NIP formulas

with K. Gannon and J. Hanson
arXiv.2308.01801

Higher arity stability and the functional order property

with A. Abd Aldaim and C. Terry
arXiv.2305.13111

(ordered reverse chronologically by arXiv posting date)

Three surprising instances of dividing

with A. Kruckman
Journal of Symbolic Logic (to appear)
arXiv.2311.00609 – journal

Enriching a predicate and tame expansions of the integers

with C. d'Elbée, Y. Halevi, L. Jimenez, and S. Rideau-Kikuchi
Journal of Mathematical Logic (to appear)
arXiv.2203.07226 – journal

Continuous stable regularity

with N. Chavarria and A. Pillay
Journal of the London Mathematical Society 109 (2024)
arXiv.2111.05435 – journal

Separation for isometric group actions and hyperimaginary independence

with J. Hanson
Fundamenta Mathematicae 249 (2022)
arXiv.2110.07763 – journal

Associativity of the Morley product of invariant measures in NIP theories

with K. Gannon
Journal of Symbolic Logic 86 (2021)
arXiv.2104.08298 – journal

Keisler measures in the wild

with K. Gannon and J. Hanson
Model Theory 2 (2023)
arXiv.2103.09137 – journal

Approximate subgroups with bounded VC-dimension

with A. Pillay
Mathematische Annalen 388 (2024)
arXiv.2004.05666 – journal

Quantitative structure of stable sets in arbitrary finite groups

Proceedings of the American Mathematical Society 149 (2021)
arXiv.2004.02819 – journal

Remarks on generic stability in independent theories

with K. Gannon
Annals of Pure and Applied Logic 171 (2020)
arXiv.1905.11915 – journal

Stability in a group

Groups, Geometry, and Dynamics 15 (2021)
arXiv.1902.07194 – journal

Weakly minimal groups with a new predicate

with M. C. Laskowski
Journal of Mathematical Logic 20 (2020)
arXiv.1809.04940 – journal

On finite sets of small tripling or small alternation in arbitrary groups

Combinatorics, Probability and Computing 29 (2020)
arXiv.1806.06022 – journal

Structure and regularity for subsets of groups with finite VC-dimension

with A. Pillay and C. Terry
Journal of the European Mathematical Society 24 (2022)
arXiv.1802.04246 – journal – supplemental note

Pseudofinite groups and VC-dimension

with A. Pillay
Journal of Mathematical Logic 21 (2021)
arXiv.1802.03361 – journal

A group version of stable regularity

with A. Pillay and C. Terry
Mathematical Proceedings of the Cambridge Philosophical Society 168 (2020)
arXiv.1710.06309 – journal

Independence in generic incidence structures

with A. Kruckman
Journal of Symbolic Logic 84 (2019)
arXiv.1709.09626 – journal

Multiplicative structure in stable expansions of the group of integers

Illinois Journal of Mathematics 62 (2018)
arXiv.1704.00105 – journal

Definable sets containing productsets in expansions of groups

with U. Andrews and I. Goldbring
Journal of Group Theory 22 (2019)
arXiv.1701.07791 – journal

Stability and sparsity in sets of natural numbers

Israel Journal of Mathematics 230 (2019)
arXiv.1701.01387 – journal

On the complexity of finite subgraphs of the curve graph

with E. Bering and J. Gaster
Osaka Journal of Mathematics 55 (2018) arXiv.1609.02548 – journal

There are no intermediate structures between the group of integers and Presburger arithmetic

Journal of Symbolic Logic 83 (2018)
arXiv.1603.00454 – journal

Stable groups and expansions of (Z,+,0)

with A. Pillay
Fundamenta Mathematicae 242 (2018)
arXiv.1601.05692 – journal

A remark on strict independence relations

Archive for Mathematical Logic 55 (2016)
arXiv.1511.02379 – journal

Extending partial isometries of generalized metric spaces

Fundamenta Mathematicae 244 (2019)
arXiv.1509.04950 – journal

An axiomatic approach to free amalgamation

Journal of Symbolic Logic 82 (2017)
arXiv.1505.00762 – journal

Neostability in countable homogeneous metric spaces

Annals of Pure and Applied Logic 168 (2017)
arXiv.1504.02427 – journal

Distance structures for generalized metric spaces

Annals of Pure and Applied Logic 168 (2017)
arXiv.1502.05002 – journal

Model theoretic properties of the Urysohn sphere

with C. Terry
Annals of Pure and Applied Logic 167 (2016)
arXiv.1401.2132 – journal

Forking and dividing in Henson graphs

Notre Dame Journal of Formal Logic 58 (2017)
arXiv.1401.1570 – journal

A note on stability in a model

with C. Terry

Szemeredi's theorem for stable sets

with F. Wagner

Definable types and f-generics in Presburger arithmetic

with S. Vojdani

Properly forking formulas in Urysohn spaces

Model Theory and Combinatorics of Homogeneous Metric Spaces
University of Illinois at Chicago, 2015
Advisor: Dave Marker
Errata

"Approximate subgroups of linear groups"

in On pseudofinite dimensions by E. Hrushovski
seminar notes from IHP trimester, spring 2018

Ultrametric spaces in continuous logic

Forking and dividing in continuous logic

with C. Terry

Independence, exchange, and strongly minimal theories

Dividing lines in unstable theories

Cubic Bezier Curve Calculator

Triangle Inequality Calculator

Four-Values and Metric Equivalence

Clock

Fall 2024

MATH 210 - Calculus III
MWF 2:00–2:50 in 210 Lincoln Hall
MWF 4:00–4:50 in 007 Lecture Center A

Course information and details are available on UIC Blackboard to registered participants.

Past Courses
The Ohio State University (2021–2024)
University of Cambridge (2019–2021)
University of Notre Dame (2015–2019)
University of Illinois at Chicago (2008–2015)