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Jacob Lurie

16.9k3 gold badges71 silver badges76 bronze badges

earned this badge 32 times.

Functorial kernel in derived category

Awarded Mar 13, 2021 at 22:18

How do $\infty$-categories allow us to do descent on the derived level?

Awarded Mar 4, 2021 at 11:36

Is an ∞-topos of local homotopy dimension $\leq n$ of homotopy dimension $\leq n$?

Awarded Apr 16, 2018 at 9:35

Example of a (presentable $k$-linear $\infty$-)category which is dualizable but not compactly generated?

Awarded Mar 22, 2018 at 13:01

The universal property of the unseparated derived category

Awarded Dec 18, 2017 at 16:07

Where to find the correct result in Higher Algebra, incorrect reference

Awarded Nov 24, 2017 at 17:43

What is homology anyway?

Awarded Jul 24, 2017 at 18:13

Examples of $(\infty,1)$-topoi that are not given as sheaves on a Grothendieck topology

Awarded Jun 27, 2017 at 9:28

Tensor variant of Mitchell's embedding theorem

Awarded Jun 30, 2016 at 14:48

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 3:03

What would be an infinity-groupoid analogue of the duality between sets and complete atomic boolean algebras?

Awarded Jan 21, 2015 at 0:36

Associative Ring Spectra and Derived Completion

Awarded Dec 31, 2014 at 4:58

Are there noncommutative extensions of $\alpha_p$ by $\mathbb{G}_m$?

Awarded Oct 11, 2014 at 13:38

Projective objects in HTT

Awarded Oct 7, 2014 at 19:55

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

Lower Algebra: Modules over the monoidal category of abelian groups

Awarded Sep 6, 2013 at 9:30

Stabilization of $\infty$-categories versus SW stabilization

Awarded Aug 22, 2013 at 8:57

Etale cohomology of and forms of algebraic groups

Awarded Jul 9, 2013 at 23:29

What's so special about the forgetful functor from G-rep to Vect?

Awarded Jun 14, 2013 at 11:35

The space of framed functions

Awarded May 29, 2013 at 6:35

Fibered/cofibered higher categories, relative model structures, slicing, and (∞,2)-category theory

Awarded Oct 2, 2012 at 12:35

Free symmetric monoidal $(\infty,n)$-categories with duals

Awarded Jul 29, 2012 at 15:20

Hirzebruch's motivation of the Todd class

Awarded Apr 27, 2012 at 0:35

The weak equivalences in the covariant model structure

Awarded Mar 29, 2012 at 15:20

If I want to study Jacob Lurie's books "Higher Topoi Theory", "Derived AG", what prerequisites should I have?

Awarded Sep 6, 2011 at 16:05

Relation between topos and $\infty$-topos

Awarded Aug 29, 2011 at 3:35

$(\infty, 1)$-Yoneda embedding via the Grothendieck construction

Awarded Jul 23, 2011 at 13:20

compact objects in model categories and $(\infty,1)$-categories

Awarded Apr 4, 2011 at 2:35

How much do universes matter in topos theory?

Awarded Dec 29, 2010 at 20:05

Auto equivalences of the spheres spectrum as a ring spectrum

Awarded Oct 17, 2010 at 9:50

Is Lemma A.1.5.7 in Higher Topos Theory correct?

Awarded Sep 9, 2010 at 16:50

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