Gareth Jones

Publications

(with Gareth Boxall and Taboka Chalebgwa) On algebraic values of Weierstrass σ-functions
Submitted
(with Olivier Le Gal) Powers are easy to avoid
Submitted
(with Shi Qiu) Integer-valued definable functions in R_{an,exp}
Int. J. Number Theory, To appear
(with Gareth Boxall and Harry Schmidt) Rational values of transcendental functions and arithmetic dynamics
JEMS, To appear
(with M. E. M. Thomas) Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces
Math. Ann. To appear
(with H. Schmidt) A Manin-Mumford theorem for the maximal compact subgroup of a universal vectorial extension of a product of elliptic curves
Int. Math. Res. Not. IMRN, To appear
(with Jonathan Kirby, Olivier Le Gal & Tamara Servi) On local definability of holomorphic functions
Q. J. Math. 70 (2019), no. 4, 1305–1326
(with H. Schmidt) Pfaffian definitions of Weierstrass elliptic functions
Math. Ann. 379 (2021), no. 1-2, 825–864.
(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.