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Lei Zhang's Home Page

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Lei Zhang
Mathematisches Institut
Freie Universität Berlin
Arnimallee 3 - Room 112A
14195 Berlin, Germany

Office: Arnimallee 3 - Room 112A, 14195 Berlin, Germany - Map of Arnimallee 3
Email: l.zhang@fu-berlin.de
Phone: +49 / (0)30 / 838-75398

Here is my CV
Here is my list of publications
Here is my PhD thesis

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Publications

  1. The Homotopy Sequence for Nori's Fundamental Group .
    Journal of Algebra, Vol. 393, pp. 79 - 91, doi: https://doi.org/10.1016/j.algebra.2013.07.010, 2013.

  2. The Homotopy Sequence for the Algebraic Fundamental Group .
    International Mathematics Research Notices, no.22, 6155-6174., doi: 10.1093/imrn/rnt163, 2014.

  3. Nori's Fundamental Group over a non Algebraically Closed Field.
    Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Vol. XVIII, pp. 1349-1394, doi: 10.2422/2036-2145.201604_007, 2018.

  4. Algebraic and Nori Fundamental Gerbes (with Fabio Tonini).
    To appear in Journal of the Institute of Mathematics of Jussieu, 1-43. doi: 10.1017/S147474801700024X.

  5. F -divided sheaves trivialized by dominant maps are essentially finite (with Fabio Tonini).
    Transactions of the American Mathematical Society, Volume 371, Number 8, 15 April 2019, Pages 5529-5549, doi: https://doi.org/10.1090/tran/7444, 2019.

  6. Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors (with M. Antei, I. Biswas, M. Emsalem, F. Tonini).
    Selecta Mathematica, 25: 18, doi: https://doi.org/10.1007/s00029-019-0449-z, 2019.

Prepublications

  1. Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks (with Fabio Tonini).
    https://arxiv.org/pdf/1702.03751.pdf.

  2. Neukirch-Uchida Theorem for Purely Inseparable Field Extensions (with M. Romagny and F. Tonini).
    https://arxiv.org/pdf/1711.06898.pdf.

  3. A crystalline incarnation of Berthelot's conjecture and Künneth formula for isocrystals (with V. Di Proietto and F. Tonini).
    https://arxiv.org/pdf/1812.05153.pdf.

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Teaching

Summer semester 2018 I hold a student seminar on Quadratische Formen.

Winter semester 2017-2018 I taught a course on Crystals and Crystalline Cohomology.

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Students

I have supervised a master student Ragnarsson Amazeen, here is his thesis.

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Some Lecture Notes

  1. An Introduction to \(\text{Bun}_G\). (Forschungsseminar at FU-Berlin, June 1, 2017)
    The latest version is here.

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    animated montana map image as a link

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