Teaching

Topics covered:

• General equilibrium theory: existence, efficiency, and welfare theorems.

• Static and dynamic games with complete information.

• Bargaining and repeated games.

• Games with incomplete information: auctions, signaling, and global games.

Topics covered:

• Logic, set theory, and proof techniques.

• Real analysis and topology: metric spaces, compactness, sequences, and convergence.

• Single- and multivariable calculus: limits, continuity, and differentiability.

• Mathematical optimization.

• Linear algebra: vectors, matrices, and matrix operations.

Topics covered:

• Estimation methods: maximum likelihood, generalized method of moments (GMM), and asymptotic inference.

• Nonlinear models: binary, ordered, and multinomial choice.

• Linear panel data models.

• Causal inference: randomized experiments, matching, difference-in-differences, and regression discontinuity.

• Instrumental variables and treatment effects.