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earned this badge 54 times.
Functorial kernel in derived category
Awarded Mar 13, 2021 at 21:25
How do $\infty$-categories allow us to do descent on the derived level?
Awarded Mar 4, 2021 at 2:06
Reflection principle vs universes
Awarded Jan 28, 2021 at 17:36
Reflection principle vs universes
Awarded Jan 27, 2021 at 18:40
Boolean non-hypercomplete $(\infty,1)$-toposes
Awarded Jun 10, 2019 at 16:05
Is an ∞-topos of local homotopy dimension $\leq n$ of homotopy dimension $\leq n$?
Awarded Mar 25, 2018 at 1:57
Example of a (presentable $k$-linear $\infty$-)category which is dualizable but not compactly generated?
Awarded Mar 21, 2018 at 1:04
The universal property of the unseparated derived category
Awarded Dec 18, 2017 at 15:01
Where to find the correct result in Higher Algebra, incorrect reference
Awarded Nov 24, 2017 at 16:58
What is homology anyway?
Awarded Jul 23, 2017 at 16:03
Examples of $(\infty,1)$-topoi that are not given as sheaves on a Grothendieck topology
Awarded Jun 27, 2017 at 8:58
When is a functor a right derived functor?
Awarded Jul 20, 2016 at 4:18
Tensor variant of Mitchell's embedding theorem
Awarded Jun 30, 2016 at 13:59
elliptic curves and group cohomology
Awarded Dec 22, 2015 at 13:55
Do there exist "topologically significant" (and not "algebraic") triangulated categories killed by the multiplication by $p$?
Awarded Sep 17, 2015 at 23:42
Can hypercomplete objects be coreflective?
Awarded Aug 6, 2015 at 14:12
Which E_∞-spaces are homotopy colimits of k-truncated E_∞-spaces?
Awarded Jul 17, 2015 at 2:11
What would be an infinity-groupoid analogue of the duality between sets and complete atomic boolean algebras?
Awarded Jan 21, 2015 at 0:07
Associative Ring Spectra and Derived Completion
Awarded Dec 31, 2014 at 4:22
Are there noncommutative extensions of $\alpha_p$ by $\mathbb{G}_m$?
Awarded Oct 11, 2014 at 3:42
Is the category of group objects in an $(\infty,1)$-topos reflective as a subcategory of the groupoid objects?
Awarded Jul 17, 2014 at 0:46
What are simplicial topological spaces intuitively?
Awarded Jan 13, 2014 at 17:55
Projective objects in HTT
Awarded Nov 6, 2013 at 16:38
Lower Algebra: Modules over the monoidal category of abelian groups
Awarded Sep 6, 2013 at 9:15
Stabilization of $\infty$-categories versus SW stabilization
Awarded Aug 22, 2013 at 8:46
Strictly commutative elements of $E_\infty$-spaces
Awarded Jul 29, 2013 at 3:59
Etale cohomology of and forms of algebraic groups
Awarded Jul 9, 2013 at 6:48
What's the current state of the classification of not-fully-extended TQFTs?
Awarded Jun 20, 2013 at 5:50
What's so special about the forgetful functor from G-rep to Vect?
Awarded Jun 14, 2013 at 0:50
The space of framed functions
Awarded May 29, 2013 at 3:50
How often does suspension define an action of Z/2 on a category of module spectra?
Awarded May 3, 2013 at 20:50
Fibered/cofibered higher categories, relative model structures, slicing, and (∞,2)-category theory
Awarded Jan 10, 2013 at 22:05
What do cohomology operations have to do with the non-existence of commutative cochains over $\mathbb{Z}$?
Awarded Oct 2, 2012 at 10:50
Free symmetric monoidal $(\infty,n)$-categories with duals
Awarded Sep 4, 2012 at 19:35
The etale site of a closed subscheme and its etale Grothendieck subtopology
Awarded Jul 29, 2012 at 13:20
Is there a high-concept explanation for why "simplicial" leads to "homotopy-theoretic"?
Awarded Jul 29, 2012 at 13:05
Hirzebruch's motivation of the Todd class
Awarded Apr 26, 2012 at 23:50
Stable homotopy category and the moduli space of formal groups
Awarded Mar 28, 2012 at 20:20
The weak equivalences in the covariant model structure
Awarded Nov 21, 2011 at 8:50
If I want to study Jacob Lurie's books "Higher Topoi Theory", "Derived AG", what prerequisites should I have?
Awarded Nov 14, 2011 at 10:35
Are morphisms from affine schemes to arbitrary schemes affine morphisms?
Awarded Sep 8, 2011 at 1:35
Semi-simplicial versus simplicial sets (and simplicial categories)
Awarded Sep 6, 2011 at 12:20
Why study simplicial homotopy groups?
Awarded Aug 28, 2011 at 22:05
What is a symmetric monoidal $(\infty,n)$-category?
Awarded Aug 19, 2011 at 15:35
The most general context of Mather's Cube Theorems
Awarded Jul 23, 2011 at 8:35
Relation between topos and $\infty$-topos
Awarded Jun 27, 2011 at 5:05
$(\infty, 1)$-Yoneda embedding via the Grothendieck construction
Awarded Apr 3, 2011 at 23:50
compact objects in model categories and $(\infty,1)$-categories
Awarded Mar 15, 2011 at 15:35
Delooping and unreduced operads
Awarded Mar 4, 2011 at 20:35
How much do universes matter in topos theory?
Awarded Dec 29, 2010 at 19:35
What is a simplicial commutative ring from the point of view of homotopy theory?
Awarded Dec 17, 2010 at 9:20
Auto equivalences of the spheres spectrum as a ring spectrum
Awarded Oct 17, 2010 at 7:35
Is Lemma A.1.5.7 in Higher Topos Theory correct?
Awarded Sep 9, 2010 at 16:35
Why is there no stack of $\ell$-adic sheaves on a curve?
Awarded Jul 18, 2010 at 21:05

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