/sci/ - Science & Math

>>10385604
Lol. Post her thesis.

>>10385604
One of the AWM sections at my school posted a picture of her on this wall for "Great women in mathematics"

I didn't realize getting a Princeton PhD with a Fields medal-winning adviser and writing a blog about how muh white men are taking all the academic jobs got you into the league of "great women in math".

FOH

>>10385604
Verma modules are representation spaces of the Viasoro algebra. It's the Hilbert space of the conformal blocks in conformal field theory; all correlation functions can be expressed as a bilinear quadratic combination of conformal blocks.
It's really impossible to know what Verma modules are without knowing how it applies to physics since that's where it came from.

>>10385626
The AMS women in math posters at ucla only shew actual professors such as Melanie melchett wood , chudnowsky, Iranian mathematician who died, etc. Did they change it in the newest version.

Ucla also took down bunch of portraits of mathematicians because they thought it was sexist or some bs

>>10385626
Does having a Fields medal-winning adviser make it easy-mode?
I imagine that advisers play a big role in directing PhD students towards fruitful areas of research.
Are PhD theses just extensions of the advisers' own research and the student is just a grunt who fills in the blanks and gets to share credit?
It just seems like a charitable donation of reputation.

>>10385831
thanks. just to clarify, are you saying that they appear mostly in physical models where a conformal symmetry arises? so then maybe an example would be something like phase transitions in condensed matter theory or something stringy/holographic?

is there any particular model i could read up on (like Ising or Heisenberg) that serves to illustrate where one would use a Verma module?

>>10388152
>they appear mostly
They [math]only[/math] explicitly appear in physics, specifically CFT and TQFT. There are some connections to arithmetic geometry and the theory of operads but Verma modules are not strictly studied there since those fields care about the modular algebras themselves, not their representations.
>is there any particular model i could read up on
Any 2D field theory near a critical point will have full conformal symmetry and make use of affine Lie algebras to describe its primary field operators. The representation spaces thereof are generalizations of Verma modules. This is independent of the number of internal degrees of freedom you have in the system, so any [math]O(N)[/math] (or more generally any non-linear [math]\sigma[/math]-model) will make use of Verma modules as Hilbert spaces.
Di Francesco and Heine have a few good books on the topic.

>>10388514
>Heine
Not Heine, Henkel. Sorry

>>10388514
>They only explicitly appear in physics
The more I read of your avatarfaggotry the more I think you just type random bullshit and hope that calculus students assume you know what you're talking about

>>10388601
It's natural to fear the unknown.

>>10385626
who is this?