Teaching

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Current Classes

Math 760 - Problems in Geometric Analysis, Spring 2015

Past Classses

2014

Math 600 - Differentiable Manifolds, Fall 2014

Math 170 - Ideas in Mathematics, Fall 2013

2013

	Math 420 - Differential Equations, Summer 2013 First Order Equations and Integrating Factors, Phase Lines, Existence-Uniqueness Theorems, Modelling, Second Order Equations, Linear Systems, Phase Lines, Qualiative Analysis, Resonance, Fundamental Matrices, Non-Linear Systems, Laplace Transforms
	Math 651 - Lie Algebras II, Spring 2013 Campbell-Baker-Hausdorff Formula, Lie Algebra Cohomology, Lie Groups, Universal Enveloping Algebras and the PBW Theorem, Representation Theory and Characters, Weyl Dimension and Harish-Chandra Theorems, the Octonions, Clifford Algebras and Spinors, the Exceptional Lie Algebras

2012

	Math 650 - Lie Algebras I, Fall 2012 Lie Algebras and Representations, the Adjoint Representation, Engel's Theorem, Lie's Thoerem, the Abstract Jordan Decomposition, Root Systems, and the Classification Theorem
	Math 170 - Ideas in Mathematics, Spring 2012
	Math 116 - Honors Calculus

2011

Math 361 - Advanced Calculus II
Fall 2011

Math 420 - Differential Equations
Fall 2011

Future Classes

Geometry and Topology

Special Lectures and Lecture Series

	Epsilon Regularity Edinburgh, Summer 2013 Moduli Space of Riemannian Manifolds, Canonical Metrics, Riemannian Functionals and Variation Principles, Sobolev and Isoperimetric Inequalities, Moser Iteration, Degeneration and Convergence of Metrics, Bubbles, Orbifolds, and ALE Metrics
	Collapsing and F-Structures USTC, Summer 2011

A Discussion About Teaching

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 What is the purpose of teaching math?

 What is the purpose of learning math?