Aslanyan, Vahagn and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2024)
Algebraic types in Zilber's exponential field.
Model Theory.
ISSN 2832-904X
(In Press)
Gallinaro, Francesco and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2024)
Quasiminimality of complex powers.
Forum of Mathematics, Sigma, 12.
ISSN 2050-5094
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2024)
Up with categories, down with sets; Out with categories, in with sets!
Philosophia Mathematica, 32 (2).
216–227.
ISSN 0031-8019
Aslanyan, Vahagn, Henderson, Robert, Kamsma, Mark and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2023)
Independence relations for exponential fields.
Annals of Pure and Applied Logic, 174 (8).
ISSN 0168-0072
Aslanyan, Vahagn, Eterović, Sebastian and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2023)
A closure operator respecting the modular j-function.
Israel Journal of Mathematics, 253.
321–357.
ISSN 0021-2172
Aslanyan, Vahagn, Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 and Mantova, Vincenzo
(2023)
A geometric approach to some systems of exponential equations.
International Mathematics Research Notices, 2023 (5).
4046–4081.
ISSN 1073-7928
Aslanyan, Vahagn and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2022)
Blurrings of the j-function.
The Quarterly Journal of Mathematics, 73 (2).
461–475.
ISSN 0033-5606
Aslanyan, Vahagn, Eterović, Sebastian and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2021)
Differential existential closedness for the j-function.
Proceedings of the American Mathematical Society, 149 (4).
pp. 1417-1429.
ISSN 0002-9939
Haykazyan, Levon and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2021)
Existentially closed exponential fields.
Israel Journal of Mathematics, 241.
89–117.
ISSN 0021-2172
Jones, Gareth, Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107, le Gal, Olivier and Servi, Tamara
(2019)
On local definability of holomorphic functions.
The Quarterly Journal of Mathematics, 70 (4).
pp. 1305-1326.
ISSN 0033-5606
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2019)
Blurred complex exponentiation.
Selecta Mathematica-New Series, 25 (5).
ISSN 1022-1824
Bays, Martin and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2018)
Pseudo-exponential maps, variants, and quasiminimality.
Algebra and Number Theory, 12 (3).
493–549.
ISSN 1937-0652
Jones, Gareth, Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 and Servi, Tamara
(2016)
Local interdefinability of Weierstrass elliptic functions.
Journal of the Institute of Mathematics of Jussieu, 15 (4).
673–691.
ISSN 1474-7480
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2016)
The rational field is not universally definable in pseudo-exponentiation.
Fundamenta Mathematicae, 232.
pp. 79-88.
ISSN 0016-2736
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 and Zilber, Boris
(2014)
Exponentially closed fields and the conjecture on intersections with tori.
Annals of Pure and Applied Logic, 165 (11).
pp. 1680-1706.
ISSN 0168-0072
Bays, Martin, Hart, Bradd, Hyttinen, Tapani, Kesala, Meeri and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2014)
Quasiminimal structures and excellence.
Bulletin of the London Mathematical Society, 46 (1).
pp. 155-163.
ISSN 0024-6093
Kirby, J ORCID: https://orcid.org/0000-0003-4031-9107
(2013)
A note on the axioms for Zilber's pseudo-exponential fields.
Notre Dame Journal of Formal Logic, 54 (3-4).
pp. 509-520.
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2013)
Finitely presented exponential fields.
Algebra and Number Theory, 7 (4).
pp. 943-980.
ISSN 1944-7833
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107, Macintyre, Angus and Onshuus, Alf
(2012)
The algebraic numbers definable in various exponential fields.
Journal of the Institute of Mathematics of Jussieu, 11 (4).
pp. 825-834.
ISSN 1475-3030
Bays, Martin, Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 and Wilkie, A. J.
(2010)
A Schanuel property for exponentially transcendental powers.
Bulletin of the London Mathematical Society, 42 (5).
pp. 917-922.
ISSN 0024-6093
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2010)
Exponential algebraicity in exponential fields.
Bulletin of the London Mathematical Society, 42 (5).
pp. 879-890.
ISSN 0024-6093
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2010)
On quasiminimal excellent classes.
Journal of Symbolic Logic, 75 (2).
pp. 551-564.
ISSN 0022-4812
Kirby, J ORCID: https://orcid.org/0000-0003-4031-9107
(2009)
The theory of the exponential differential equations of semiabelian varieties.
Selecta Mathematica-New Series, 15 (3).
pp. 445-486.
ISSN 1022-1824
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 and Zilber, Boris
(2006)
The Uniform Schanuel Conjecture Over the Real Numbers.
Bulletin of the London Mathematical Society, 38 (04).
pp. 568-570.
ISSN 0024-6093
Kirby, J ORCID: https://orcid.org/0000-0003-4031-9107
(2005)
Corrigendum to “A Schanuel Condition for Weierstrass Equations”.
Journal of Symbolic Logic, 70 (3).
p. 1023.
ISSN 0022-4812
Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107
(2005)
A Schanuel condition for Weierstrass equations.
Journal of Symbolic Logic, 70 (2).
pp. 631-638.
ISSN 0022-4812
Kirby, J (2006) The Theory of Exponential Differential Equations. Doctoral thesis, Magdalen College, University of Oxford.
Kirby, J (2002) A new look at Counterexamples in topology. Masters thesis, UNSPECIFIED.