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Exponentially Algebraically closed fields.

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  • 2025

    Algebraic types in Zilber's exponential field

    Aslanyan, V. & Kirby, J., Jan 2025, In: Model Theory. 4, 1, p. 37-54 18 p.

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  • 2024

    Quasiminimality of complex powers

    Gallinaro, F. & Kirby, J., 13 Dec 2024, In: Forum of Mathematics, Sigma. 12, e123.

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    1 Citation (Scopus)
    19 Downloads (Pure)

  • 2023

    A closure operator respecting the modular j-function

    Aslanyan, V., Eterović, S. & Kirby, J., Mar 2023, In: Israel Journal of Mathematics. 253, p. 321–357 37 p.

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    4 Citations (Scopus)
    26 Downloads (Pure)

  • A geometric approach to some systems of exponential equations

    Aslanyan, V., Kirby, J. & Mantova, V., Mar 2023, In: International Mathematics Research Notices. 2023, 5, p. 4046–4081 36 p.

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    8 Citations (Scopus)
    30 Downloads (Pure)

  • Independence relations for exponential fields

    Aslanyan, V., Henderson, R., Kamsma, M. & Kirby, J., Aug 2023, In: Annals of Pure and Applied Logic. 174, 8, 103288.

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    1 Citation (Scopus)
    48 Downloads (Pure)

  • 2022

    Kim-independence in positive logic

    Dobrowolski, J. & Kamsma, M., 24 Jun 2022, In: Model Theory. 1, 1, p. 55-113 59 p.

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    12 Citations (Scopus)
    176 Downloads (Pure)

  • Weak modular Zilber–Pink with derivatives

    Aslanyan, V., Jun 2022, In: Mathematische Annalen. 383, 1-2, p. 433–474 42 p.

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    8 Citations (Scopus)
    13 Downloads (Pure)

  • 2021

    Ax-Schanuel and strong minimality for the j-function

    Aslanyan, V., Jan 2021, In: Annals of Pure and Applied Logic. 172, 1, 102871.

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    7 Citations (Scopus)
    16 Downloads (Pure)

  • Differential existential closedness for the j-function

    Aslanyan, V., Eterović, S. & Kirby, J., Apr 2021, In: Proceedings of the American Mathematical Society. 149, 4, p. 1417-1429 13 p.

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    9 Citations (Scopus)
    28 Downloads (Pure)

  • Some remarks on atypical intersections

    Aslanyan, V., Nov 2021, In: Proceedings of the American Mathematical Society. 149, 11, p. 4649-4660 12 p.

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    5 Citations (Scopus)
    38 Downloads (Pure)