Why and what work are they known for?
>>8727379
Why are there so many strong mathematicians at michigan?
>>8727379
le spider mane
he is known for his spider
>>8727413
https://www.wired.com/2014/04/the-physics-of-spider-mans-webs/
>>8727379
any answer beside mochizuki is by default invalid
>>8727425
tao
>>8727713
What do you like about his research area?
>>8728466
categorification, and his work on tamagawa numbers
i understand very little of his broad work but he's a top-notch expositor, had the pleasure of seeing him give two lectures last year
>>8728485
Happy to see you reply so quickly since I just commented on your post. What pre-reqs do you need to understand his research?
>>8728487
his research is very broad so it depends which part you mean
these are some good talks:
>Categorifying the Fourier Transform
http://www.math.columbia.edu/~woit/wordpress/?p=7732
https://vimeo.com/120708135
>The Siegel Mass Formula, Tamagawa Numbers, and Nonabelian Poincaré Duality
https://www.youtube.com/watch?v=b3qDTu0C7dM
for the first you certainly want to at least know basics about categories, fourier transforms, representation theory
for the second, at least some buzzwords from algebraic and analytic number theory and theory of quadratic forms
as far as his other research (which i know next to nothing about) he gives some of his own suggestions here:
http://mathoverflow.net/questions/74642/if-i-want-to-study-jacob-luries-books-higher-topoi-theory-derived-ag-what
>To read Higher Topos Theory, you'll need familiarity with ordinary category theory and with the homotopy theory of simplicial sets (Peter May's book "Simplicial Objects in Algebraic Topology" is a good place to learn the latter). Other topics (such as classical topos theory) will be helpful for motivation.
>To read "Higher Algebra", you'll need the above and familiarity with parts of "Higher Topos Theory". Several other topics (stable homotopy theory, the theory of operads) will be helpful for motivation.
>To read the papers "Derived Algebraic Geometry ???", you need all of the above plus familiarity with Grothendieck's theory of schemes, along with some more recent ideas in algebraic geometry (stacks, etcetera).
>Since no knowledge of modern physics was required to write any of these books and papers, I can't imagine that you need any such knowledge to read them.
>>8728501
Excellent answer thanks.
>>8727408
>school hires good mathematicians
>future mathematicians want to go and collaborate with them
>>8727379
thug Grigori
>>8729826
Great quote
my advisor cause i said so. known for making me feel and look like a bitch