Aslanyan, Vahagn; Henderson, Robert; Kamsma, Mark; Kirby, Jonathan Independence relations for exponential fields. (English) Zbl 07695416 Ann. Pure Appl. Logic 174, No. 8, Article ID 103288, 26 p. (2023). MSC: 03C45 03C65 03C48 PDFBibTeX XMLCite \textit{V. Aslanyan} et al., Ann. Pure Appl. Logic 174, No. 8, Article ID 103288, 26 p. (2023; Zbl 07695416) Full Text: DOI arXiv
Aslanyan, Vahagn; Kirby, Jonathan; Mantova, Vincenzo A geometric approach to some systems of exponential equations. (English) Zbl 1528.11046 Int. Math. Res. Not. 2023, No. 5, 4046-4081 (2023). Reviewer: Luc Bélair (Montréal) MSC: 11G10 03C60 11U09 12L12 PDFBibTeX XMLCite \textit{V. Aslanyan} et al., Int. Math. Res. Not. 2023, No. 5, 4046--4081 (2023; Zbl 1528.11046) Full Text: DOI arXiv
Haykazyan, Levon; Kirby, Jonathan Existentially closed exponential fields. (English) Zbl 1466.12006 Isr. J. Math. 241, No. 1, 89-117 (2021). Reviewer: Luc Bélair (Montréal) MSC: 12L12 03C60 03C45 PDFBibTeX XMLCite \textit{L. Haykazyan} and \textit{J. Kirby}, Isr. J. Math. 241, No. 1, 89--117 (2021; Zbl 1466.12006) Full Text: DOI arXiv Link
Bays, Martin; Kirby, Jonathan Pseudo-exponential maps, variants, and quasiminimality. (English) Zbl 1522.03144 Algebra Number Theory 12, No. 3, 493-549 (2018). MSC: 03C65 03C75 12L12 11J81 PDFBibTeX XMLCite \textit{M. Bays} and \textit{J. Kirby}, Algebra Number Theory 12, No. 3, 493--549 (2018; Zbl 1522.03144) Full Text: DOI arXiv Link
Kirby, Jonathan; Zilber, Boris Exponentially closed fields and the conjecture on intersections with tori. (English) Zbl 1315.03056 Ann. Pure Appl. Logic 165, No. 11, 1680-1706 (2014). MSC: 03C60 03C35 03C45 11U09 PDFBibTeX XMLCite \textit{J. Kirby} and \textit{B. Zilber}, Ann. Pure Appl. Logic 165, No. 11, 1680--1706 (2014; Zbl 1315.03056) Full Text: DOI arXiv
Kirby, Jonathan A note on the axioms for Zilber’s pseudo-exponential fields. (English) Zbl 1345.03070 Notre Dame J. Formal Logic 54, No. 3-4, 509-520 (2013). MSC: 03C60 03C48 12L12 PDFBibTeX XMLCite \textit{J. Kirby}, Notre Dame J. Formal Logic 54, No. 3--4, 509--520 (2013; Zbl 1345.03070) Full Text: DOI arXiv Euclid
Kirby, Jonathan Finitely presented exponential fields. (English) Zbl 1436.03201 Algebra Number Theory 7, No. 4, 943-980 (2013). MSC: 03C60 11J81 PDFBibTeX XMLCite \textit{J. Kirby}, Algebra Number Theory 7, No. 4, 943--980 (2013; Zbl 1436.03201) Full Text: DOI arXiv
Kirby, Jonathan; Macintyre, Angus; Onshuus, Alf The algebraic numbers definable in various exponential fields. (English) Zbl 1270.03057 J. Inst. Math. Jussieu 11, No. 4, 825-834 (2012). Reviewer: Ayhan Günaydın (Istanbul) MSC: 03C60 03C35 11U09 12L12 PDFBibTeX XMLCite \textit{J. Kirby} et al., J. Inst. Math. Jussieu 11, No. 4, 825--834 (2012; Zbl 1270.03057) Full Text: DOI arXiv
Kirby, Jonathan Exponential algebraicity in exponential fields. (English) Zbl 1203.03050 Bull. Lond. Math. Soc. 42, No. 5, 879-890 (2010). Reviewer: Dimitru Buşneag (Craiova) MSC: 03C60 12H05 12L12 PDFBibTeX XMLCite \textit{J. Kirby}, Bull. Lond. Math. Soc. 42, No. 5, 879--890 (2010; Zbl 1203.03050) Full Text: DOI arXiv Link