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MATH742

Geometric Analysis

Calculus of Variations, Bochner technique, Morse theory, weak solutions and elliptic regularity, maximum principle for elliptic and parabolic equations, Green's function of the Laplacian, isoperimetric and Sobolev inequalities, continuity method, curvature and comparison results, harmonic maps, curvature prescription problems.

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Average GPA: 3.98 between 24 students

"W"s are considered to be 0.0 quality points. "Other" grades are not factored into the average GPA calculation.