Riemann Surfaces (math 128A) Winter 2022. times? Tu and Thurs. 11:40 to 1:15.
(was by Zoom 1/ 4 t-31. ) meeting now in PERSON in McH 1270;
Prof.: Richard Montgomery. My office: 4120 McHenry.
Office hours: je ne sais pas.
lecture schedule from Feb 7 on
My TeXed lecture notes
HWs
student presentation possibilities
texts:
Farkas and Kra
Donaldson
Curves and their Jacobians
Algebraic Curves and Riemann Surfaces, Rick Miranda
Fermat Curve references
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older posts:
tentative lecture schedule
the Zoom lecture notes
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References, various:
Bobenko's Cpt Riem Surfaces (; quite good, in general: )
line bundles short and well-done
Fermat curves start with section 4, and then go to sec 3
a Math Review of
a wonderful French text on the Uniformisation theorem
a partial
list of various other references I've been consulting.
Teleman's notes - thx Alejandro B-D
:
Mobius transformations the Oscar-winning movie
Sheaf-theory, line bundles Guiding principle: [s] = D where s is a section of line bundle corresponding to the divisor D.
on the Klein Quartic :
Klein's quartic: by Matsieva (my favorite and closest to the history),
by Egan
and
Baez , and an entire book:
The Eightfold Way: the Beauty of Klein's Quartic Curve,
MSRI Research Publications 35, Cambridge U. Press, Cambridge 1999.
More links
just kind of hanging leftovers:
SYLLABUS : bimonthly HW Hand in a solved problem every other week. (folder needs updating R !)
Each student is expected to give a presentation of 20 to 40 min in length. Here are
some possible topics for talks.