paul garrett
I am interested in the application of modern analysis to the spectral theory of Eisenstein series and other automorphic forms, Lfunctions, and number theory. This includes representation theory of (mostly reductive) Lie groups and padic groups, and harmonic analysis on these groups and their homogeneous spaces. Necessarily Schwartz' distributions, Sobolev spaces, and similar things play important supporting roles. I find that a mildly categorical viewpoint is very helpful in keeping things straight.
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Is there a nice application of category theory to functional/complex/harmonic analysis?
Dec 14 '11
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Why might André Weil have named Carl Ludwig Siegel the greatest mathematician of the 20th century?
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