A. Berarducci, M. Otero, Y. Peterzil, and A. Pillay, A descending chain condition for groups definable in o-minimal structures, Ann. Pure Appl. Log. 134, 303–313 (2005).
Q. Brouette, Differential Algebra, Ordered Fields and Model Theory, Ph.D. thesis, Université de Mons (2015).
Q. Brouette and F. Point, Differential Galois theory in the class of formally real differential fields, preprint (2014), arXiv 1404.3338v1.
T. C. Craven, Intersections of real closed fields, Can. J. Math. 32(2), 431–440 (1980).
T. Crespo, Z. Hajto, and M. van der Put, Real and p-adic Picard-Vessiot fields, Math. Ann. 365, 93–103 (2016).
H. Gillet, S. Gorchinskiy, and A. Ovchinikov, Parametrized Picard-Vessiot extensions and Atiyah extensions, Adv. Math. 238, 328–411 (2013).
N. Guzy and F. Point, Topological differential fields, Ann. Pure Appl. Log. 161(4), 570–598 (2010).
E. Hrushovski, Groupoids, imaginaries and internal covers, J. Turkish Math. 36(2), 173–198 (2012).
E. Hrushovski, Y. Peterzil, and A. Pillay, Groups, measures, and the NIP, J. Amer. Math. Soc. 21(2), 563–596 (2008).
M. Kamensky and A. Pillay, Interpretations and differential Galois extensions, Int. Math. Res. Not. 2016(24), 7390–7413 (2016).
I. Kaplansky, An Introduction to Differential Algebra, Actualités Scientifiques et Industrielles Vol. 1251 (Hermann, 1957).
E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75(4), 753–824 (1953).
E. R. Kolchin, Differential Algebra and Algebraic Groups, Pure Applied Mathematics Vol. 54 (Academic Press, 1973).
E. R. Kolchin, Constrained extensions of differential fields, Adv. Math. 12, 141–170 (1974).
J. Kovacic, Pro-algebraic groups and the Galois theory of differential fields, Amer. J. Math. 95(3), 507–536 (1973).
J. Kovacic, Geometric characterisation of strongly normal extensions, Trans. Amer. Math. Soc. 358(9), 4135–4157 (2006).
S. Lang, Introduction to Algebraic Geometry, Interscience Tracts in Pure and Applied Mathematics Vol. 5 (Interscience, 1958).
A. R. Magid, Lectures on Differential Galois Theory, University Lecture Series Vol. 7 (American Mathematical Society, 1994).
D. Marker, The model theory of differential fields, in: Model Theory of Fields, second edition, edited by D. Marker, M. Messmer, and A. Pillay, Lecture Notes in Logic Vol. 5 (Association for Symbolic Logic, 2006), pp. 41–109.
D. Marker, Model Theory: An introduction, Graduate Texts in Mathematics Vol. 217 (Springer, 2002).
A. Onshuus and A. Pillay, Definable groups and compact p-adic Lie groups, J. Lond. Math. Soc. (2) 78(1), 233–247 (2008).
A. Pillay, First order topological structures and theories, J. Symb. Log. 52(3), 763–778 (1987).
A. Pillay, On groups and fields definable in o-minimal structures, J. Pure Appl. Algebra 53, 239–255 (1988).
A. Pillay, Differential Galois theory I, Illinois J. Math. 42(4), 678–698 (1998).
A. Pillay and O. L. Sanchez, Some definable Galois theory and examples, Bull. Symb. Log. 23(2), 145–159 (2017).
G. A. Pogudin, The primitive element theorem for differential fields with zero derivation on the ground field, J. Pure Appl. Algebra 219, 4035–4041 (2015).
F. Point, Ensembles définissables dans les corps ordonnés différentiellement clos (On differentially closed ordered fields), C. R. Acad. Sci. Paris, Ser. I 349, 929–933 (2011).
F. Pop, Embedding problems over large fields, Ann. Math. (2) 144(1), 1–34 (1996).
B. Poonen, Elliptic curves, preprint (2001).
P. Ribenboim, L'arithmétique des corps (Hermann, 1972).
G. E. Sacks, Saturated Model Theory, second edition (World Scientific, 2010).
S. Shelah, Minimal bounded index subgroup for dependent theories, Proc. Amer. Math. Soc. 136(3), 1087–109 (2008).
J. Silverman, The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics Vol. 106 (Springer, 1992).
J. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves, Graduate Texts in Mathematics Vol. 151 (Springer, 1994).
M. Singer, A class of differential fields with minimal differential closures. Proc. Amer. Math. Soc. 69(2), 319–322 (1978).
N. Solanki, Uniform Companions for Expansions of Large Differential Fields, PhD thesis, University of Manchester (2014).
K. Tent and M. Ziegler, A Course in Model Theory, Lecture Notes in Logic Vol. 40 (Cambridge University Press, 2012).
M. Tressl, The uniform companion for large differential fields of characteristic 0, Trans. Amer. Math. Soc. 357(10), 3933–3951 (2005).