Payman Eskandari
I am a postdoctoral fellow in mathematics at the University of Toronto, working with Kumar Murty. I am also currently a visiting member of the Fields Institute.
CV
email: payman@math.utoronto.ca
I help to organize the Fields Number Theory Seminar. For the current edition of the seminar (July 2021 - June 2022), please see here. For the previous edition (July 2020 - June 2021), please see here.
Research
I am interested in algebraic geometry and number theory, in particular:
- mixed motives, their motivic Galois and Mumford-Tate groups, their periods
- Tannakian formalism
- algebraic cycles, transcendental algebraic geometry and Hodge theory; interplay with number theory
Publications
(Note that the published versions might be slightly different from the versions posted here.)
- The unipotent radical of the Mumford-Tate group of a very general mixed Hodge structure with a fixed associated graded, with Kumar Murty, preprint
- On unipotent radicals of motivic Galois groups, with Kumar Murty, preprint
- The fundamental group of an extension in a Tannakian category and the unipotent radical of the Mumford-Tate group of an open curve, with Kumar Murty, preprint
- On Ceresa cycles of Fermat curves, with Kumar Murty, to appear in the Journal of Ramanujan Mathematical Society (Special Issue - Proceedings of the International Conference on Number Theory and Discrete Mathematics, December 2020, Cochin, India) pdf
- On the harmonic volume of Fermat curves, with Kumar Murty, Proc. Amer. Math. Soc. 149 (2021), no. 5, 1919-1928 pdf
- Algebraic cycles and the mixed Hodge structure on the fundamental group of a punctured curve, Math. Annalen, Vol. 375, pp 1665-1719 (2019) pdf
- 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
- 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
Thesis
Algebraic Cycles, Fundamental Group of a Punctured Curve, and Applications in Arithmetic, PhD thesis, 2016 pdf
Teaching
- Fall-Winter 2021-2022: MAT329 Concepts in Elementary Mathematics (Course webpage on Quercus.)
Past Courses (all at U of T)
- Fall-Winter 2020-2021: MAT329 Concepts in Elementary Mathematics
- Winter 2020: MATD01 Fields and Groups (UTSC campus) course webpage
- Winter 2020: MAT344 Intro to Combinatorics
- Fall 2019: MAT334 Complex Variables
- Summer 2019: MAT135 Calculus I
- Winter 2019: MAT247 Algebra II course webpage
- Fall 2018: MAT301 Groups and Symmetries course webpage
- Summer 2018: MAT224 Linear Algebra II
- Winter 2018: MAT315 Intro to Number Theory
- Fall 2017: MAT327 Intro to Topology
- Winter 2017: MAT301 Groups and Symmetries
- Fall 2016: MAT224 Linear Algebra II
- Summer 2016: MAT401 Polynomial Equations and Fields
- Summer 2016: MAT224 Linear Algebra II (Mississauga campus)
- Winter 2016: MAT315 Intro to Number Theory (Mississauga campus)
- Fall 2015: MAT224 Linear Algebra II
- Summer 2015: MAT334 Complex Variables
- Winter 2015: MAT315 Intro to Number Theory (Mississauga campus)