Resume

• 2014

  Doctor of Philosophy (PhD)

  Mathematics

  University of California

  Berkeley

• 2013

  General Scholar

  Chinese Studies and Mathematics

  Tsinghua University

• 2012

  Part III Mathematics

  Mathematics

  University of Cambridge

  Distinction

• 2009

  Mathematical Tripos

  Mathematics

  University of Cambridge

  First Class

• Python (Programming Language)

  Numerical Analysis

  Theoretical Physics

  Matlab

  Differential Geometry

  Mathematical Modeling

  LaTeX

  Python

  Physics

  Data Analysis

  Mathematics

  Research

  Science

  C++

  Mathematica

  Partial Differential Equations

  China

  Problem Solving

  Scalar curvature rigidity and Ricci Deturck flow on perturbations of Euclidean Space

  The main contribution of this paper is a weak formulation of the Positive Mass Theorem in General Relativity.

  Scalar curvature rigidity and Ricci Deturck flow on perturbations of Euclidean Space

  In this paper I proved the existence of a new type of singularity in four dimensional Ricci flow --- a singularity whose blow-up limit is the Eguchi-Hanson space. Whether or not such singularities could form was a fundamental open problem for the last 15 years. This result will most likely lead to a lot of subsequent research on whether or not other so called ALE spaces may occur as singularities in Ricci flow.

  Eguchi-Hanson singularities in U(2)-invariant Ricci flow

  A family of non-collapsed steady Ricci solitons in even dimensions greater or equal to four

  In this paper I found a new steady Ricci soliton in four dimensions - the first new example of a potential singularity model in 4d since the discovery of the Bryant soliton. This discovery will also be published in an upcoming textbook on Ricci solitons.

  A family of non-collapsed steady Ricci solitons in even dimensions greater or equal to four

  Appleton

  Alexander

  The Voleon Group

  Siemens Corporate Technology

  UC Berkeley

  Mathematics Department

  Worked on a crowd flow simulation tool in Java

  Werkstudent

  Munich Area

  Germany

  Siemens Corporate Technology

  San Francisco Bay Area

  Graduated with a PhD in Mathematics

  Graduate Student Researcher

  UC Berkeley

  Mathematics Department

  Berkeley

  California

  United States

  Member of Research Staff

  The Voleon Group

  English

  German

  Chinese (at HSK 6 level)