In the Fall
of 2013, I did my RTG with David Glickenstein. In
this project we investigate the evolution of some graphs under a
certain type of flow. Let's see a simple example:
Currently, I am doing independent study with David Glickenstein. we
focus on
forms and bubbles,
which is closely linked to the
mathematical problems of minimal surfaces. In particular, I am reading
Robert Huff's "soap films and Kelvin's curved, truncated octahedron " ,
the basic idea here is using the Weierstrass representation to
parametrize a minimal surfaces, however, the calculation here involving
a lot of stuff such as conformal maps in the complex plane, which is
not that easy and I
need to learn. In the Fall
of 2013, I did my RTG with David Glickenstein. In
this project we investigate the evolution of some graphs under a
certain type of flow. Let's see a simple example:
Before
2012, when I was a student at Fudan University, I spent most of my time
on study the Poincare conjecture. My master thesis is about the
monotonicity of
some operator under a new
geometric flow - Ricci Hamonic flow. Similar to the discussion of "no
breather" established by Perelman, we define some
new energy functions, and discuss their monotonicity and applications.