Zhiyu Zhang

Teaching

I enjoy teaching and explaining beautiful mathematical ideas to everyone through drawings and pictures. I consider teaching an essential part of my work, and a valuable way to help students develop both their own confidence and skills of mathematics.

I strongly agree with how I think about teaching by Alexander Paulin . See also André Weil, Mathematical Teaching in Universities. For my classes, I hope to design SMART (specific, measurable, achievable, realistic, time-bound) student-centered learning goals. After an accessible, clear, and highly organized exposition, I aim to help students learn to do and use math tools in their own way, with real-time positive feedback.

Courses

MATH 245C, Topics in Algebraic Geometry: applications of period maps, local systems and Hodge theory in family, Spring 2026.

MATH 210C, Lie theory: linear algebraic groups and their actions, Spring 2026.

MATH 263A, Topics in Representation Theory: theta liftings, transfers and applications, Fall 2025.

MATH 145, Algebraic Geometry (1-dimensional polynomial equations), Fall 2025.

MATH 145, Algebraic Geometry (1-dimensional polynomial equations), Winter 2025.

MATH 216B, Graduate Algebraic Geometry, Winter 2025.

MATH 216A, Graduate Algebraic Geometry, Fall 2024, TuTh 12:00-01:20 PM, Room 381T. Website .

MATH 263A, Topics in Representation Theory: Function Field Arithmetic, Fall 2024, TuTh 10:30-11:50 AM, Room 381T. Website .

MATH 145, Algebraic Geometry, Spring 2024, MWF 9:30-10:20 AM. Website .

MATH 263C, Topics in Representation Theory: relative Langlands duality, Spring 2024, MWF 10:30-11:20 PM. Website .

For the syllabus of any math course, see Syllabus at Stanford .


Previous teaching at MIT:
  • Recitation Instructor for 18.06 Linear Algebra (Fall 2021).
  • Teaching Assistant for 18.726 Algebraic Geometry II, 18.706 Algebra II (Spring 2022).
  • 18.786 Number Theory II, 18.737 Algebraic Groups (Spring 2021).
  • 18.785 Number Theory I (Fall 2020).
  • 18.102 Introduction to Functional Analysis (Spring 2020).
  • 18.705 Commutative Algebra (Fall 2019).