Wenbo Li 李文博

Wenbo Li 李文博

Ph.D. of Mathematics

University of Toronto

I am a Ph.D. student at University of Toronto. My advisor is Professor Ilia Binder.

My reasearch is focused on Analysis in Metric Spaces, Quasiconformal Geometry, Complex Dyanamics, Geometric Function Theory, Geometric Measure Theory, Random Geometry and so on.

Research

The focus of my research is in the fields of Analysis on Metric Spaces, Complex Analysis, Geometric Measure Theory, Geometric Function Theory, Complex Dynamics and Random Fractals. Specifically, I work on the following applications of Quasiconformal Geometry:

Quasisymmetric Embeddability

I am interested in analyzing the geometric properties of non-smooth metric spaces, especially the properties that are related to quasisymmetric embeddability. One interesting class of objects is the metric Sierpinski carpets(i.e., metric spaces that are homeomorphic to the standard Sierpinski carpet). Another focus of my research is about the weak tangents of a metric space.

Quasiconformal Geometry of Stochastic Objects

I am also working on Random Geometry. More specifically, applying the techniques in Analysis on Metric Spaces to problems in the random world. I am interested in investigating specific geometrical structures on stochastic phenomenons and such a structure may provide a key idea to estimate the conformal dimension of stochastic objects.

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