Jason Polak

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Name Jason Polak
Member for 3 years
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Location Montreal
Age 27
I am a second year PhD student interested in the fundamental lemma and the Langlands programme. I also like homological algebra.
May
10
answered What is a good reference (preferably thorough) for the Derived Category of a scheme/orbifold/stack?
May
5
comment What arithmetic information is contained in the algebraic K-theory of the integers
That's ok, I was in a hurry typing this and admittedly did not read the question as thoroughly as I should have.
May
5
answered What arithmetic information is contained in the algebraic K-theory of the integers
Apr
27
comment Reference for Rationality in Algebraic Groups in the Language of Schemes?
@ayanta: thank you for the references, I'll take a look. @Kidwell: I have taken a look at B. Conrad's notes from his course now and these are essentially the kind of thing I want. If you post your comment as an answer, I shall accept it. @Putman: Thank you also for the link; the notes look promising as well, and I'll keep an eye out for their progress.
Apr
27
comment Reference for Rationality in Algebraic Groups in the Language of Schemes?
@ayanta: yes sorry, I was being sloppy. I am aware that not all groups are split or quasisplit. The result on the existence of split and quasisplit forms is one thing for example that I‘d like to see. @Kidwell: thanks, I will take a look at these notes!
Apr
26
revised Reference for Rationality in Algebraic Groups in the Language of Schemes?
added 91 characters in body
Apr
26
asked Reference for Rationality in Algebraic Groups in the Language of Schemes?
Apr
25
comment Homotopy-theoretic measure of operations on sheaves failing to be sheaves
@Jacob: Yes for qc, this is essentially the third paragraph.
Apr
25
asked Homotopy-theoretic measure of operations on sheaves failing to be sheaves
Mar
23
awarded  Nice Question
Feb
8
answered Injective Modules over Group Rings
Jan
4
comment Nice Algebraic Statements Independent from ZF + V=L (constructibility)
(I meant to say $\mathrm{Ext}^1(A,\mathbb{Z}) = 0$)
Jan
4
comment Nice Algebraic Statements Independent from ZF + V=L (constructibility)
Thank you for the detailed answer. Since forcing extensions cannot satisfy $ZFC + V=L$, what about considering some theory that does not satisfy $V=L$. For instance, in some models, nonfree abelian groups $A$ with $\mathrm{Ext}^1(A,\mathbb{Z})$ do exist, so would it be easier to find further algebraic statements in such models that are independent?
Jan
4
comment Nice Algebraic Statements Independent from ZF + V=L (constructibility)
Your question, also interesting, looks for open problems that were proven in some definition of "countable case" and not necessarily independent or implied by stronger set theoretic axioms, so I am hoping that the different criteria and wording might prompt some answers.
Jan
4
asked Nice Algebraic Statements Independent from ZF + V=L (constructibility)
Dec
13
comment The non-traveling mathematician problem
Even if you go to four conferences a year lasting a week each, which to me seems like a lot, that's four weeks a year....is it too much for you to be away from your family for that long???