 Jeremy DANIEL

MPI Bonn
Room 105
Mail: jdaniel[dot]math[at]gmail[dot]com
Presentation
I work in complex geometry, especially abelian and nonabelian Hodge theory.
I have defended my PhD entitled Variations of loop Hodge structures and harmonic bundles in September, 2015.
From September 2013 to August 2017, I was a teaching assistant in Ecole normale supérieure, Paris. Now, I am a postdoc in the Max Planck Institute for Mathematics in Bonn.
Mathematical documents
 Notes on Evariste Galois (for highschool students) (in french)
Galois  Master's thesis, supervised by Dieter Kotschick,
Kähler groups and the geometry of Kähler manifolds  Notes on Bruno Klingler's lecture (in french),
Théorie de Hodge abélienne et nonabélienne  PhD thesis, supervised by Bruno Klingler Variations of loop Hodge structures and harmonic bundles
Publications
 With Xiaonan Ma,
Characteristic Laplacian in subRiemannian geometry , International Mathematical Research Notices, 2015. pdf 
Loop Hodge structures and harmonic bundles , Algebraic Geometry, 2017. pdf 
On some characteristic classes of flat bundles in complex geometry , Annales de l'Institut Fourier, 2018 pdf  With Bertrand Deroin,
Lyapunov exponents of the Brownian motion on a Kähler manifold , Mathematic Research Letters, 2018. pdf
Lectures on Kähler groups
In the Sommersemester 2018, I give lectures in the university of Bonn on the "Fundamental groups of compact Kähler manifolds". My aim is to explain different aspects of the interaction between the topology and the geometry of a compact Kähler manifold, encapsuled in its fundamental group. Some ot the questions that I may discuss are :
 what are the restrictions on fundamental groups of compact Kähler manifolds ?
 how to produce interesting examples ?
 what can we learn from nonabelian Hodge theory ?
Guide to the literature. pdf
 Lecture 1. pdf
 Lecture 2. pdf
 Lecture 3. pdf
 Lecture 4. pdf
 Lecture 5. pdf
 Lecture 6. pdf
 Lecture 7. pdf
 Lecture 8. pdf
 Lecture 9. pdf
 Lecture 10. pdf