Items where Author is "Kirby, Jonathan"

In Press

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)

Published

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

Unpublished

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.