Homepage of Mingchen Xia


Information

PhD student at Chalmers tekniska högskola, Göteborg, Sweden. My advisor is Robert Berman.

Domain of research: Complex geometry, Kähler geometry, pluripotential theory, non-Archimedean geometry

Email address: xiam@chalmers.se. I do not reply to any email that begins with Dear (Cher, Hejsan) Xiam

My name in Chinese characters (in case you want to write to me in Chinese): 夏铭辰(Simplified)/夏銘辰(Traditional)

I'm learning Shimura varieties. Updated on April 5, 2022
FSM
I am a devout Pastafarian.

Some problems

This is a collection of problems arising from my own research that may be of interest to people outside my domain. If you know the solutions to any of the following problems, please let me know.
  • Flat pull-back of currents on complex analytic spaces
  • Compute mixed volumes of big line bundles from Okounkov bodies By a theorem of Jow (Adv. 223.4 2010), information of all Okounkov bodies determines all numerical information of line bundles. This problem asks for explicit formulae.

  • Notes


    Research

    Errare humanum est.

    All of my preprints can be found on arXiv. See also my Google scholar page.

    K-stability

    Pluripotential theory

    Non-Archimedean geometry and algebraic geometry

    Papers marked with [*] are those which I consider as containing new ideas. The other papers contain non-trivial results based on existing techniques.

    Works in progress


    Teaching

    If I were to choose two things that I hate the most in the world, those must be teaching and following a math course. --- Wozijibiande (Famous philosopher)

    I do NOT know MatLab AT ALL and refuse to learn it. I hereby apologize to all of my students and furture students at Chalmers.


  • 2020 MVE255 Matematisk analys i flera variabler --- Teaching assistant for the MatLab part.
  • 2020 D1/T1/DV-GU Introduktionkurs --- No students.
  • 2020 TMV211 Inledande diskret matematik --- Teaching assistant.
  • 2019 MVE041 Flervariablelmatematik --- Teaching assistant for the MatLab part.
  • 2019 TMV210 Inledande diskret matematik --- Teaching assistant.
  • 2018 TMV210 Inledande diskret matematik --- Teaching assistant.

  • Legal links for working mathematicians

    Illegal links for working mathematicians