### Publications

- (with Gareth Boxall and Harry Schmidt)
*Rational values of transcendental functions and arithmetic dynamics*

Preprint. 2018 - (with M. E. M. Thomas)
*Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces*

Preprint. 2018 - (with H. Schmidt)
*A Manin-Mumford theorem for the maximal compact subgroup of a universal vectorial extension of a product of elliptic curves*

Preprint. 2018 - (with Jonathan Kirby, Olivier Le Gal & Tamara Servi)
*On local definability of holomorphic functions*

Quart. J. Math. To appear - (with H. Schmidt)
*Pfaffian definitions of Weierstrass elliptic functions*

Preprint. 2017 - (with P. Habegger & D. Masser )
*Six unlikely intersection problems in search of effectivity.*

Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 3, 447–477. - (with M. E. M. Thomas )
*Rational values of the Weierstrass zeta function.*

Proc. Edinb. Math. Soc. (2) 59 (2016), no. 4, 945–958. - (with Jonathan Kirby & Tamara Servi )
*Local interdefinability of Weierstrass elliptic functions.*

J. Inst. Math. Jussieu 15 (2016), no. 4, 673–691. - (with Gareth Boxall)
*Rational values of entire functions of finite order.*

Int. Math. Res. Not. IMRN 2015, no. 22, 12251–12264. -
*Improvements in the Pila-Wilkie theorem for curves.*

In the volume below. - (edited with A. J. Wilkie)
*O-minimality and diophantine geometry*

LMS Lecture Note Series. CUP. 2015 - (with Gareth Boxall)
*Algebraic values of certain analytic functions.*

Int. Math. Res. Not., (2015) 2015 (4): 1141-1158. - (with M. E. M. Thomas& A. J. Wilkie )
*Integer-valued definable functions.*

Bull. Lond. Math. Soc. (2012) 44 (6) 1285-1291. - (with Patrick Speissegger )
*Generating the Pfaffian closure with total Pfaffian functions.*

J. Log. Anal. 4 (2012), Paper 5. - (with M. E. M. Thomas)
*The density of algebraic points on certain Pfaffian surfaces.*

Quart. J. Math. (2012) 63 (3) 637-651. - (with D. J. Miller & M. E. M. Thomas )
*Mildness and the density of rational points on certain transcendental curves.*

Notre Dame J. Form. Log. 52 (2011), no. 1, 67-74. - (with T. Servi)
*On the decidability of the real field with a generic power function.*

J. Symbolic Logic Volume 76, Issue 4 (2011), 1418-1428. -
(with Mário Edmundo & N. Peatfield)
*Invariance results for definable extensions of groups.*

Arch. Math. Logic 50 (2011), no. 1-2, 19 -31. -
*Zero sets of smooth functions in the Pfaffian closure of an o-minimal structure.*

Proc. Amer. Math. Soc.**136**(2008), 4019-4025. -
(with A. J. Wilkie)
*Locally polynomially bounded structures.*

Bull. London Math. Soc. 2008; 40: 239-248. - (with Mário Edmundo & Nick Peatfield)
*Sheaf cohomology in o-minimal structures.*

J. Math. Logic**6**No. 2 (2006) 163-179.