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bio website math.princeton.edu/~macbeth
location Princeton
age 27
visits member for 5 years, 5 months
seen Apr 13 at 0:14

I'm a fifth-year graduate student in Princeton.


Feb
13
comment How to find isothermal coordinates equivalent to circles in far limit?
This is interesting, Bob, but can you explain more? I'm not quite sure what you mean by "symmetric about the z = 0 plane" -- do you mean the same as "transformation of the complex plane symmetric about the y-axis"?
Feb
12
asked Self-intersection and generic point
Feb
11
answered How to find isothermal coordinates equivalent to circles in far limit?
Feb
4
comment Measurability of eigenelements $s \mapsto (\varphi_k(s), \lambda_k(s))$ of Laplace-Beltrami on $M_s$
Just checking -- are you aware of work (including various pathologies) on the corresponding question for linear operators in general? For example, in Kato, <em>Perturbation Theory for Linear Operators</em>.
Nov
15
awarded  Nice Question
Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
Dec
26
awarded  Yearling
Oct
15
awarded  Caucus
Oct
15
awarded  Constituent
Jul
22
awarded  Informed
Jun
25
awarded  Citizen Patrol
Jun
19
answered Aubin's book - construction of Green's function on compact manifold
Mar
7
awarded  Popular Question
Feb
27
asked “Mathai-Quillen-type” form on $M\times M$?
Dec
26
awarded  Yearling
Dec
8
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Dec
7
revised Is the closure of the orbits of the mean curvature flow compact for a finite time?
edited tags
Oct
18
comment Invariance group of Morse charts
(2.) Yes, we're interested in the diffeomorphisms satisfying $\varphi \circ f = \varphi$. Such a diffeo $f$ has the property that, on each level set $\{x:|x|^2=r\}$, $f$ restricts to a diffeo of the level set. Moreover the possible $f$ are basically characterized by this property. Think of $f$ as a (germ of a) 1-parameter family of diffeomorphisms of the $(n-1)$-sphere, modulo some boundary conditions (tending to the identity near 0) to ensure smoothness at $p$.
Oct
18
comment Invariance group of Morse charts
Hi Will (and Kofi). (1.) It seems to me that one can work with the set of germs of charts near p, and the group of germs of diffeomorphisms fixing p. Then the action is well-defined and free and transitive.