- (with Gareth Boxall and Harry Schmidt) Rational values of transcendental functions and arithmetic dynamics
- (with M. E. M. Thomas) Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces
- (with H. Schmidt) A Manin-Mumford theorem for the maximal compact subgroup of a universal vectorial extension of a product of elliptic curves
- (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
- (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.