18,334 reputation
23067
bio website math.umn.edu/~garrett
location US
age 62
visits member for 3 years, 4 months
seen 5 hours ago

I am interested in the application of modern analysis to the spectral theory of Eisenstein series and other automorphic forms, L-functions, and number theory. This includes representation theory of (mostly reductive) Lie groups and p-adic 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.


This user has not asked any questions
257
× 40
82
× 33
211
× 45
80
× 12
153
× 43
78
× 19
136
× 41
75
× 20
84
× 29
73
× 20
Mathematics 18,334 rep 23067
Academia 13,562 rep 21967
MathOverflow 10,494 rep 22548
Mathematics Educators 5,623 rep 1939
Area 51 201 rep 2

2,833 Votes Cast

all time   by type   month   week   day
2,706 up 1,191 question 42 1 1
127 down 1,642 answer