Contact information:

Changyu Guo (郭常予)

Department of Mathematics

University of Fribourg

Chemin du Musee 23

CH-1700, Fribourg , Switzerland

Email: changyu.guo@unifr.ch

I currently work as an FNS-postdoc researcher at Department of Mathematics, University of Fribourg in the group led by Professor Stefan Wenger.

Research interests

My research interests can be described as ``Geometric analysis on Riemannian manifolds and singular spaces". In particular, I am interested in geometric function theory in Riemannian and subRiemannian manifolds and analysis and geometry on singular metric spaces. The topics that I have studied till now include

- Geometric function theory: quasiconformal mappings, quasiregular mappings, mappings of finite distortion and Sobolev mappings.
- Inverse problems and PDEs: Unique Continuation Principle, Calderon's inverse problem for p-Laplace type equations, non-linear potential theory, L-infinite variational problem.
- Analysis and geometry on metric measure spaces: Sobolev
spaces
on metric measure spaces, geometric mappings between metric measure
spaces, harmonic mappings between singular metric measure spaces,
Plateau/Dirichlet problem in metric spaces.

- Instructor for the course "Sobolev spaces and quasisymmetric mappings II", Spring 2017, University of Fribourg.
- Teaching assistant for the course "Introduction to geometric measure theory", Note, Spring 2017, University of Fribourg.
- Teaching assistant for the course "Algebra and Geometry", Fall 2016, University of Fribourg.
- Instructor for the course "Sobolev spaces and quasisymmetric mappings I", Fall 2016, University of Fribourg.
- Teaching assistant for the course "Analysis IV", Spring 2016, University of Fribourg.
- Teaching assistant for the course "Real analysis", MATS311, Fall 2015, University of Jyvaskyla.
- Teaching assistant for the course "Sobolev spaces", MATS235, Spring 2015, University of Jyvaskyla.
- Instructor for the course "Lectures on quasiconformal mappings and quasisymmetric mappings", MATS420, Spring 2014, University of Jyvaskyla.

- Reading seminar on harmonic mappings on metric spaces with applications in geometric group theory, June 2017 - August 2017, University of Fribourg.
- Reading seminar on Sobolev spaces and harmonic mappings on metric spaces, Sep. 2016 - Feb. 2017, University of Fribourg.
- Reading seminar on metric currents, Spring 2016, University of Fribourg.
- During the academic year 2015, I am in charge of a geometric analysis reading group, University of Jyvaskyla.

Links for some mathematical department

Finland

- Department of
Mathematics and Statistics, University of Jyvaskyla

- Department of Mathematics and Statistics, University of Helsinki
- Department of Mathematics and Systems Analysis, Aalto University

Switzerland

- Department of Mathematics, University of Fribourg
- Department of Mathematics, University of Zurich (ETH)
- Department of Mathematics, University of Geneve
- Department of Mathematics, Swiss Federal Institute of Technology in Lausanne (EPFL)
- Mathematical Institute, University of Bern
- Mathematical Institute, University of Basel

China

- School of Mathematical Science, Beijing Normal University
- Mathematical Science Center, Tsinghua University
- Beijing International Center for Mathematical Research
- Shanghai Center for Mathematical Science