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.
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:
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.
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.
2021 CMS Summer Meeting, Ottawa, Canada
2021 Quasiworld Seminar, UCLA
2021 Fractal Research Group Seminar, UC Riverside
2021 Conformal Dynamics and Groups Seminar, Peking University
2020 CMS Winter Meeting, Montreal, Canada
2019 AMS Spring Eastern Sectional Meeting, Hartford, USA
2019 Geometric and Harmonic Analysis 2019, Storrs, USA
2018 New Development in Complex Analysis and Function Theory, Heraklion, Greece
2018 The Geometric Measure Theory and its Connections, Helsinki, Finland
2018 AMS Spring Eastern Sectional Meeting, Boston, USA