Jack Hall

A Luna etale slice theorem for algebraic stacks

Jarod Alper, Jack Hall, David Rydh

Journal article  |  2020  |  ANNALS OF MATHEMATICS

We prove that every algebraic stack, locally of finite type over an algebraically closed field with affine stabilizers, is etale-l..

ONE POSITIVE AND TWO NEGATIVE RESULTS FOR DERIVED CATEGORIES OF ALGEBRAIC STACKS

Jack Hall, Amnon Neeman, David Rydh

Journal article  |  2019  |  JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU

Let be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts about the unbounded derived categ..

Artin's criteria for algebraicity revisited

Jack Hall, David Rydh

Journal article  |  2019  |  ALGEBRA & NUMBER THEORY

Using notions of homogeneity we give new proofs of M. Artin’s algebraicity criteria for functors and groupoids. Our methods give a..

Coherent Tannaka duality and algebraicity of Hom-stacks

Jack Hall, David Rydh

Journal article  |  2019  |  ALGEBRA & NUMBER THEORY

We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups. Our main application is the existence ..

Etale devissage, descent and pushouts of stacks (vol 331, pg 194, 2011)

Jack Hall, David Rydh

Journal article  |  2018  |  JOURNAL OF ALGEBRA

Perfect complexes on algebraic stacks

Jack Hall, David Rydh

Journal article  |  2017  |  COMPOSITIO MATHEMATICA

We develop a theory of unbounded derived categories of quasi-coherent sheaves on algebraic stacks. In particular, we show that the..

The telescope conjecture for algebraic stacks

Jack Hall, David Rydh

Journal article  |  2017  |  JOURNAL OF TOPOLOGY

Using Balmer-Favi's generalized idempotents, we establish the telescope conjecture for many algebraic stacks. Along the way, we cl..

Openness of versality via coherent functors

Jack Hall

Journal article  |  2017  |  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

We give a proof of openness of versality using coherent functors. As an application, we streamline Artin's criterion for algebraic..

The Balmer spectrum of a tame stack

Jack Hall

Journal article  |  2016  |  ANNALS OF K-THEORY

Let X be a quasicompact algebraic stack with quasifinite and separated diagonal. We classify the thick ⊗-ideals of Dqc (X)c . If X..

General Hilbert Stacks and Quot Schemes

Jack Hall, David Rydh

Journal article  |  2015  |  MICHIGAN MATHEMATICAL JOURNAL

We prove the algebraicity of the Hilbert functor, the Hilbert stack, the Quot functor, and the stack of coherent sheaves on an alg..