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From August 2021 to August 2025, I served as a Graduate Teaching Assistant and Research Assistant. As a Teaching Assistant, I taught 1000- and 2000-level probability and statistics courses and provided tutoring support in the Math Learning Center for
undergraduate students enrolled in mathematics and statistics courses. As a Research Assistant, I worked under the supervision of my advisor, Dr. Kevin McGoff.
As an instructor of mathematics and statistics, my primary goal is to help students achieve a deep understanding of the material, allowing them to appreciate the "magic" of the subjects. I employ various strategies to help students grasp complex ideas: comparing similar concepts; bridging different ideas across chapters; using brief, accessible proofs to demonstrate the practical application of definitions; and using computer techniques to visualize abstract concepts.
Student engagement and teaching effectiveness are as important as students’ understanding of course materials. To enhance student engagement and improve learning effectiveness, I actively implement interactive teaching strategies. Moreover, I place great importance on creating an inclusive and respectful classroom environment. I believe that learning is most effective when students feel safe to express their thoughts and make mistakes without fear of judgment.
Finally, I encourage my students to explore more beyond the classroom by offering students resources providing hints for challenging problems. This approach fosters independent thinking and problem-solving skills, which are crucial in mastering mathematical concepts.
My research lies in the areas of probability theory, ergodic theory, and dynamical systems. My Ph.D. project focuses on constrained versions of the Optimal Transport problem and Thermodynamic Formalism.
Looking ahead, I plan to further investigate open
problems related to my dissertation work and broaden my research interests to include related topics such as statistical inference for dynamical systems and the reconstruction problem in dynamical systems. An interesting aspect of this field is that when
we view some math problems through the lens of dynamics, these problems become strikingly different forms and challenges.