Publications

  1.  On the D-finiteness of generating functions counting small steps walks in the quadrant, Arxiv 2509.22464
  2. Hypertranscendence and q-difference equations over elliptic function fields avec Ehud De Shalit et Julien Roques, hal-04697635
  3. Galoisian structure of  large steps walks confined in the first quadrant avec Pierre Bonnet . Arxiv 2405.03508, to appear in Combinatorial Theory.
  4. Simplicity of the automorphism group of fields with operators, with Thomas Blossier, Zoé Chatzidakis and Amador Martin-Pizarro. Arxiv 2209.10891, to appear in Pacific Math Journal.
  5. The stationary distribution of reflected Brownian motion in a wedge: differential properties, avec Mireille Bousquet-Mélou, Andrew Elvey Price,  Sandro Franceschi , Kilian Raschel. Electronic Journal of Probability 30 (2025) article no. 1, 1–68
  6. Algebraic independence and  linear difference equations (avec Boris Adamczewski et Thomas Dreyfus  et Michael Wibmer) to appear in Journal of the European Mathematical Society
  7. On differentially algebraic generating series for walks in the quarter plane (avec  M. F.  Singer),  Selecta Mathematica, 27, 89 (2021) , 42 pages.
  8. On the D-finiteness of generating functions counting small steps walks in the quadrant, 
    arXiv:2509.22464
  9. On the kernel  curves associated with walks in the quarter plane (avec Thomas Dreyfus,  Julien Roques et M.F. Singer )  Springer Proceedings in Mathematics and Statistics, 373 (2021), 473, 61-89.
  10. Galois theories of q-difference equations: Comparison theorems  (avec Lucia Di Vizio),  Confluentes Mathematici, Tome 12 (2020) no. 2, pp. 11-35.
  11. Length derivative of the generating series of walks confined in the quarter plane  (avec Thomas Dreyfus ), Confluentes Mathematici, Tome 13 (2021) no. 2, pp. 39-92.
  12. Functional relations for solutions of q-difference equations  (avec Thomas Dreyfus et Julien Roques ), Mathematische Zeitschrift 298 (2021), no. 3-4, 1751-1791.
  13. Hypertranscendence and linear difference equations  (avec Boris Adamczewski et Thomas Dreyfus),  Journal of the American Mathematical Society, 34 (2021), 475-503.
  14. Intrinsic approach to Galois theory of q-difference equations followed by the preface to Part 4 « The Galois D-groupoid of a q-difference system »  by Anne Granier, (avec Lucia Di Vizio ) Memoirs of the AMS, 77 pages.
  15. Walks in the Quarter Plane, Genus Zero Case (avec Thomas Dreyfus,  Julien Roques et M.F. Singer ) Journal of Combinatorial Theory, Series A, 19 pages.
  16.  On the Nature of the Generating Series of Walks in the Quarter Plane   (avec Thomas Dreyfus, Julien Roques et M.F. Singer), Inventiones Mathematicae, (2018), Volume 213, Issue 1, pp 139–203.
  17. Sur les automorphismes bornés de corps munis d’opérateurs (avec Thomas Blossier et Amador Martin-Pizarro ), Math. Research Letters,   24 (2017), 955–978..
  18. Calculating Galois groups of differential equations with parameters (avec Alexey Ovchinnikov et Andrei Minchenko ), Mathematische Annalen, 368 (1), 2017,587-632
  19. Hypertranscendence of solutions of Mahler equations (avec Thomas Dreyfus et Julien Roques ), Journal of the European Mathematical Society, 20 (2018), no.9, 2209–2238
  20. Difference algebraic relations among solutions of linear differential equations (avec Lucia Di Vizio and Michael Wibmer), Journal of the Institute of Mathematics of Jussieu, 16 (2017), No. 1, 59-119.
  21. Difference Galois theory of linear differential equations (avec Lucia Di Vizio and Michael Wibmer), Advances in Mathematics , 260 (2014), 1–58 .
  22. Descent for differential Galois theory of difference equations. Confluence and q-dependency,  avec Lucia Di Vizio), Pacific Journal of Mathematics Vol. 256 (2012), No. 1–79.
  23. Unipotent radical of Tannakian Galois groups in positive characteristic , « Arithmetic and Galois theories of differential equations« . Séminaires et Congres 23 (2011), 283–299.
  24. Courbures, groupes de Galois génériques et D-groupoïde de Galois d’un système aux q-différences, , (avec Lucia Di Vizio), C.R. Acad. Sci (2010), 951–954.
  25. Iterative q-difference Galois Theory, Journal fur die Reine und Angewandte Mathematik , [Crelle Journal] 644 (2010), 101–144.
  26. Differential Galois Theory of Linear Difference Equations, avec M.F. Singer ,  Mathematische Annalen 342 (2008), no. 2, 333–377.
  27. Hypertranscendance des systèmes  aux différences diagonaux, Compositio Mathematica 144 (2008), no. 3, 565–581.
  28. On the Definitions of Difference Galois Groups, , avec Z. Chatzidakis et M.F. Singer , Model theory with applications to algebra and analysis. Vol. 1, 73–109, L.M.S. Ser., 349, Cambridge Univ. Press, 2008.
  29.  Calcul du groupe de Galois du produit de  trois opérateurs différentiels complétement réductibles. C.R. Acad. Sci. Paris, Ser.I 341 (2005), 349-352.

Chapitre d’ouvrage

Galoisian approach to differential transcendence dans « Galois Theories of Linear Difference Equations : An Introduction » avec Jacques Sauloy et M.F. Singer , Mathematical Surveys and Monographs of the AMS.

Divers