Geometry and analysis
Geometric analysis, differential geometry, minimal surfaces, and partial differential equations.
Research overview →Mathematics · University of Washington
Shaoda Ji
PhD student in mathematics
I work in geometric analysis, differential geometry, and partial differential equations. I am especially interested in geometry on manifolds, geometric visualization, and teaching mathematics both in person and online.
About
I am pursuing a PhD in the Department of Mathematics at the University of Washington, with an expected completion in 2030. My PhD advisers have not yet been determined; they will be selected at the end of the second year of the program.
Ideas made visible
Teaching experience in UW Math 124 (Differential Calculus), Math 125 (Integral Calculus), and Math 208 (Matrix Algebra), together with a large online mathematics archive.
Teaching and outreach →Mathematical notes
Expository calculations and visual explanations developed from study, research, and teaching.
Read the notes →Featured publication
An elementary characterization of the cosine function through D’Alembert’s functional equation.
Published paper · 2023
Defining Cosine Function with D’Alembert’s Functional Equation
The paper replaces a continuity assumption with more elementary conditions and determines the solution from monotonicity, giving an elementary definition of the cosine function on the real line.
Selected updates
Recent academic and expository work.
- Published: Defining Cosine Function with D’Alembert’s Functional Equation
- PhD studies at the University of Washington
- Teaching and mathematics outreach