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上海交通大学数学科学学院导师教师师资介绍简介-HAJLI MOUNIR

本站小编 Free考研考试/2021-01-02

Special Researcher at the School of Mathematical Sciences, Shanghai Jiao Tong University . 

 

Office 429 

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PhD 2012 (Paris 6). Research interests: 

  • Arakelov Geometry. 

  • Number Theory.

  • Other things..

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Teaching:

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Commutative rings and Homological algebra (Spring 2018)

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Applied Functional Analysis (Fall 2018)​

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Homework for Applied Functional Analysis

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Commutative rings and Homological algebra (Spring 2019)

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Applied Functional Analysis (Fall 2019)

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Notes on Diophantine Geometry and transcendental numbers

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Lectures on Algebraic Geometry (2018) every Monday  from 09:00 to 11:00 

(The main reference is Elements de Geometrie Algerique, A. Grothendieck (IHES)) 

  • An overview of the theory of (additive/abelian/..) categories (Sur quelques points d'Algebre Homologique, A. Grothendieck. Tohoku). 

  • Derived functors (Tohoku)

  • Presheaves and sheaves with values in a category. Direct and inverse image (EGA1).

  • Ringed spaces (EGA1).

  • Quasi-coherent and coherent sheaves (EGA1).

  • Affine schemes, schemes (EGA1). 

  • Affine morphisms and Vector bundles (EGA2).

  • Projective schemes.

  • Grothendieck topologies-1

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Introduction to Grothendieck topologies and etale cohomology (2019) every Sunday from 14:00 to 16:00

  •     Review of the theory of categories, projective and injective limits, adjoint morphisms (Expose I, SGA4)

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For more details see here

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