AAK's user avatar
AAK's user avatar
AAK's user avatar
AAK
  • Member for 14 years, 3 months
  • Last seen more than 2 years ago
81 votes
Accepted

Derived algebraic geometry: how to reach research level math?

60 votes

New grand projects in contemporary math

47 votes

Old books still used

41 votes

A bestiary of topologies on Sch

24 votes

Algebraic K-theory and Homotopy Sheaves

24 votes

Why do we need model categories?

23 votes
Accepted

Motivation and potential applications of spectral algebraic geometry

23 votes
Accepted

Mysterious quotes (at least for me)

20 votes
Accepted

Why is "naive" definition of non-commutative spectrum bad?

20 votes

Stable infinity categories vs dg-categories

17 votes

Why is the motivic category defined over the site of smooth schemes only?

16 votes

DG categories in algebraic geometry - guide to the literature?

15 votes
Accepted

What is the applications of the dg-enhancements of derived categories of sheaves

14 votes
Accepted

Geometric morphism of $\infty$ topos

14 votes

What is the relationship between connective and nonconnective derived algebraic geometry?

13 votes

Does Bourbaki's (and Grothendieck's) approach to mathematics survive today?

13 votes
Accepted

Relationship between Hochschild cohomology and Drinfeld centers

12 votes
Accepted

A question on Voevodsky´s categories

10 votes
Accepted

Is dgCat a category or a 2-category?

9 votes
Accepted

K theory long exact sequence

9 votes

References for the "nerve of an algebraic variety"

9 votes

Basic questions about stacks 2

9 votes

How to show the following two definitions of homotopy monomorphism are equivalent?

8 votes
Accepted

Relations between Motivic Galois groups and Motivic t-structure?

8 votes
Accepted

Could we extend the exact sequence $K^0(X)\to K_0(X)\to K_0(D_{sg}(X))\to 0$ to the left?

7 votes
Accepted

When do the polynomial algebra and free algebra coincide in brave new algebra?

7 votes

Morphisms of $\mathbb E_l$-rings between $\mathbb E_k$-rings for $l<k$

6 votes
Accepted

Do $RHom(C,D)$ and $DG(C,D)$ have equivalent homotopy categories?

6 votes
Accepted

Do algebraic stacks satisfy fpqc descent?

6 votes
Accepted

Monoidal structure on simplicial sheaves