Payman Eskandari

Assistant Professor
Department of Mathematics and Statistics
University of Winnipeg



My research interests are in number theory and algebraic geometry. Some of the keywords that describe my research are mixed motives and their periods, tannakian formalism, motivic Galois groups, Mumford-Tate groups, Hodge theory, and algebraic cycles.


(Note that the published versions might be slightly different from the versions posted here.)

  1. On blended extensions in filtered tannakian categories and mixed motives with maximal unipotent radicals, 2023, preprint , arXiv:2307.15487
  2. On endomorphisms of extensions in tannakian categories, to appear in the Bulletin of the Australian Mathematical Society, 2023 pdf
  3. (with Kumar Murty) The unipotent radical of the Mumford-Tate group of a very general mixed Hodge structure with a fixed associated graded, 2022, preprint
  4. (with Kumar Murty) On unipotent radicals of motivic Galois groups, Algebra & Number Theory, Vol. 17 (2023), No. 1, 165-215 pdf
  5. (with Kumar Murty) The fundamental group of an extension in a Tannakian category and the unipotent radical of the Mumford-Tate group of an open curve, Pacific Journal of Mathematics, Vol. 325 (2023), No. 2, 255–279 pdf
  6. (with Kumar Murty) On Ceresa cycles of Fermat curves, Journal of Ramanujan Mathematical Society, Volume 36, No. 4 (2021) 363-382 pdf
  7. (with Kumar Murty) On the harmonic volume of Fermat curves, Proc. Amer. Math. Soc. 149 (2021), no. 5, 1919-1928 pdf
  8. Algebraic cycles and the mixed Hodge structure on the fundamental group of a punctured curve, Mathematische Annalen, Vol. 375, pp 1665-1719 (2019) pdf
  9. Quadratic periods of meromorphic forms on punctured Riemann surfaces, in Geometry, Algebra, Number Theory, and Their Information Technology Applications, edited by A. Akbary and S. Gun, Springer Proceedings in Mathematics and Statistics, Vol. 251, 2018, pages 183-205 pdf
  10. An integrable connection on the configuration space of a Riemann surface of positive genus, C. R. Math. Acad. Sci. Paris, Vol 356, no. 3, pages 312-315 (2018) pdf



I help to organize the Fields Number Theory Seminar (at the Fields Institute). For the current edition of the seminar, please see here.


Current courses (University of Winnipeg)

Past courses (University of Winnipeg)

Past courses (University of Toronto)