Personal webpage (Page personnelle)

by Zhouhang Mao

October 23, 2021

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1Personal info (Info personnelle)

Current position

Postdoc at Institut de Mathématique d'Orsay (Post-doctorant à l'Institut de Mathématique d'Orsay)

Email

zhouhang DOT mao AT universite-paris-saclay DOT fr

Office (Bureau)

Math 2O1

I am a postdoc at Institut de Mathématique d'Orsay, under Kęstutis Česnavičius' ERC Grant (and help, of course). Before that, I was a PhD student at Sorbonne Université, advised by Matthew Morrow. Before that, I was an international student at ENS. Before that, I was an undergrad at Fudan University.

Detailed CV.

2Research interests (Thème de recherche)

The interaction between topology and algebraic geometry: derived algebraic geometry (géométrie algébrique dérivée), algebraic topology (topologie algébrique), arithmetic geometry (géométrie arithmétique), algebraic K-theory (K-théorie algébrique), topological cyclic homology (homologie cyclique topologique).

3Preprints (Prépublications)

  1. Revisiting derived crystalline cohomology, arXiv:2107.02921, latest pdf

  2. Perfectoid rings as Thom spectra, arXiv:2003.08697, latest pdf

4Notes and talks

  1. Seminar of the algebraic topology group, Université Paris Nord, 3 Dec 2020, slides

    Warning. There is a major mistake in these slides: the formulation of the deformation theory is incorrect. It should be formulated as the following: given an infinitesimal thickening AA'', the derived base change induces an equivalence from the category of formally étale A-algebras to the category of formally étale A''-algebras.

  2. M2 Mémoire: Comparisons of different constructions in algebraic K-theory, pdf

5Teaching (Enseignement)