**Lectured Undergraduate Courses**

- Calculus
- Algebra
- Linear Algebra
- Linear Algebra and Differential Equations
- Ordinary Differential Equations
- Differential Geometry
- Theory of Functions of One Complex Variable
- Probability Theory and Statistics
- Combinatorics
- Elementary Theory of Numbers

**Lectured Graduate Courses**

- Manifolds
- Differential Geometry
- Ordinary Differential Equations
- Asymptotic Methods of the Theory of Linear PDEs
- Theory of Mixed Hodge Structures
- Differential Equations on Algebraic Manifolds
- Complex Manifolds
- Lie Groups and Lie Algebras
- Algebra
- Topics in Number Theory
- q-Special Functions
- Hypergeometric Functions, KZ Type Equations, and Representation Theory
- Algebraic Structure in Statistical Mechanics
- Nonlinear Waves and Solitons
- Probability theory, Statistics, and Planning Experiments
- Real Algebraic Geometry and Integrable Systems