Studying the connections between random walks and diffusion processes, with the goal of establishing invariance principles for random walks in balanced periodic media. Preliminary studying includes random walks, Brownian motion, weak convergence, partial differential equations, and invariance principles. The latter portion of the project focuses on proving invariance principles for random walks in balanced periodic environments, under the supervision of Professor Jessica Lin.

Responsible for grading assessments and providing feedback to students for the course Math 235 (Algebra 1). The course covers groups, subgroups and cosets, group actions on sets, rings, ideals and quotient rings, fields and construction of fields from polynomial rings.

Graded assessments for the course MATH 240 (Discrete Structures). The course focuses on mathematical logic, elementary number theory, combinatorics, and graph theory. I provided constructive feedback to students and offered advice regarding the technique of constructing a mathematical proof.