MATH742

Geometric Analysis

Prerequisite: MATH673 and MATH674; or MATH740. 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.

Fall 2025

Or Hershkovits

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Past Semesters

Richard Wentworth

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Antonio De Rosa

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Antonio De Rosa

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Daniel Cristofaro-Gardiner

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Antonio De Rosa

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Daniel Cristofaro-Gardiner

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Tamas Darvas

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Hans-Joachim Hein

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Pierre-Emmanuel Jabin

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Yanir Rubinstein

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Karin Melnick

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Sergei Novikov

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Include P/F semesters During the Spring 2020 and Spring 2021 semesters, students could choose to take some of their courses pass-fail mid-semester which skews grade data aggregated across multiple semesters.

Average GPA of 3.78 between 58 students*

A-: 13.79%

A: 48.28%

A+: 17.24%

W: 3.45%

other: 17.24%

* "W"s are considered to be 0.0 quality points. "Other" grades are not factored into GPA calculation. Grade data not guaranteed to be correct.