Mathematics

* The fields of real
and complex numbers with a multiplicative subgroup (joint work with L. van den
Dries), Proceedings of London Mathematical Society, 93, (2006), pp. 43--81.
(.pdf)

* Thorn
independence in the field of real numbers with a small multiplicative group
(joint work with A. Berenstein and C. Ealy), Annals of Pure and Applied Logic,
150, (2007), pp. 1--18. (.pdf)

* Mann pairs
(joint work with L. van den Dries),Trans. Amer. Math. Soc. 362, (2010), 2393-2414. (.pdf)

* Definable sets in
Mann pairs (with L. van den Dries), comm. Alg. 39

* Dependent pairs (with P. Hieronymi), J. Symbolic Logic, 76, (2011), 377-390.(.pdf)

* The real field with the rational points of an elliptic curve (with P. Hieronymi), Fund. Math., 211 (2011), 15–40. (.pdf)

* Rational Solutions of Polynomial-Exponential Equations, International Journal of Number Theory, 8 (2012) 1391–1399 (.pdf)

* The Choice Property in Tame Expansions of o-minimal Structures (with P. Eleftheriou and P. Hieronymi). (.pdf)

* Structure theorems in tame expansions of o-minimal structures by a dense predicate (with P. Eleftheriou and P. Hieronymi), Revised version (2017), submitted. (.pdf)

* Topological Study of Pairs of Algebraically Closed Fields, submitted (.pdf)

* The real field with two multiplicative subgroups; not intended for publication (.pdf)* The field of real numbers with a small subgroup of the circle group; not intended for publication (.pdf)

* Model theory of fields with multiplicative subgroups (.pdf)

* Kombinatorik ve Makine Öğrenmesi (.pdf)

* A talk on the
Small Multiplicative subgroups of Fields (.pdf Oxford) (.pdf
Tecnico)

* A talk on
dependent pairs (.dvi)

* Notes on "stable
Domination and indepedence in ACVF" (.dvi)

* A talk on "Mann
pairs" (Lisbon) (BogotÁ) (NY)

* A talk around "PsuedoExponentiation" (Lisbon) (BogotÁ) (PT)

* A talk on a proof
of Infinite Helly's Theorem (.PDF)

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