Foundations of holomorphic functions of one variable; relation to potential theory, complex manifolds, algebraic geometry, number theory. Cauchy's theorems, Poisson integral. Singularities, series, product representations. Hyperbolic geometry, isometries. Covering surfaces, Riemann-Hurwitz formula. Schwarz-Christoffel polygonal functions. Residues.
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All Instructors
This total also includes data from semesters with unknown instructors.
Vladimir Sverak
Fall 2022
Paul Garrett
2 terms from Fall 2020 to Fall 2024
Fall 2024
Fall 2020
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