The theory of the exponential differential equations of semiabelian varieties J Kirby Selecta Mathematica 15, 445-486, 2009 | 74 | 2009 |
Exponential algebraicity in exponential fields J Kirby Bulletin of the London Mathematical Society 42 (5), 879-890, 2010 | 53 | 2010 |
On quasiminimal excellent classes J Kirby The Journal of Symbolic Logic 75 (2), 551-564, 2010 | 48 | 2010 |
Quasiminimal structures and excellence M Bays, B Hart, T Hyttinen, M Kesälä, J Kirby Bulletin of the London Mathematical Society 46 (1), 155-163, 2014 | 41 | 2014 |
Pseudo-exponential maps, variants, and quasiminimality M Bays, J Kirby Algebra & Number Theory 12 (3), 493-549, 2018 | 31 | 2018 |
Exponentially closed fields and the conjecture on intersections with tori J Kirby, B Zilber Annals of Pure and Applied Logic 165 (11), 1680-1706, 2014 | 28 | 2014 |
A Schanuel property for exponentially transcendental powers M Bays, J Kirby, AJ Wilkie Bulletin of the London Mathematical Society 42 (5), 917-922, 2010 | 27 | 2010 |
Finitely presented exponential fields J Kirby Algebra & Number Theory 7 (4), 943-980, 2013 | 26 | 2013 |
An invitation to model theory J Kirby Cambridge University Press, 2019 | 25 | 2019 |
A note on the axioms for Zilber’s pseudo-exponential fields J Kirby | 18 | 2013 |
Differential existential closedness for the 𝑗-function V Aslanyan, S Eterović, J Kirby Proceedings of the American Mathematical Society 149 (4), 1417-1429, 2021 | 17 | 2021 |
The theory of exponential differential equations P Kirby University of Oxford; Mathematical Institute, 2006 | 17 | 2006 |
A Schanuel condition for Weierstrass equations J Kirby The Journal of Symbolic Logic 70 (2), 631-638, 2005 | 14 | 2005 |
Existentially closed exponential fields L Haykazyan, J Kirby Israel Journal of Mathematics 241, 89-117, 2021 | 13 | 2021 |
The algebraic numbers definable in various exponential fields J Kirby, A Macintyre, A Onshuus Journal of the Institute of Mathematics of Jussieu 11 (4), 825-834, 2012 | 13 | 2012 |
Local interdefinability of Weierstrass elliptic functions G Jones, J Kirby, T Servi Journal of the Institute of Mathematics of Jussieu 15 (4), 673-691, 2016 | 12 | 2016 |
A geometric approach to some systems of exponential equations V Aslanyan, J Kirby, V Mantova International Mathematics Research Notices 2023 (5), 4046-4081, 2023 | 11 | 2023 |
Abstract elementary categories J Kirby preprint, 2008 | 10 | 2008 |
Blurrings of the j-function V Aslanyan, J Kirby The Quarterly Journal of Mathematics 73 (2), 461-475, 2022 | 9 | 2022 |
A closure operator respecting the modular j-function V Aslanyan, S Eterović, J Kirby Israel Journal of Mathematics 253 (1), 321-357, 2023 | 8 | 2023 |