**Jack Hall**

Assistant Professor

*email*: firstnamelastname at math dot arizona dot edu

*office*: ENR2 S349

*phone*: +1 520-621-0729

*interests*: moduli spaces, algebraic stacks, derived categories, formal geometry, and deformation theory.

*seminar*: homepage

*google*:
scholar profile

*arXiv*: listings

*orcid-id*: 0000-0001-9136-7059
#### Current Teaching

MATH 129: Calculus II (Fall 2018), sections 3 and 5
#### Publications

*Artin's criteria for algebraicity revisited* (with D. Rydh)

Algebra & Number Theory, to appear

*One positive and two negative results for derived categories of algebraic stacks* (with A. Neeman and D. Rydh)

Journal of the Institute of Mathematics of Jussieu, First View

*Addendum to "Étale dévissage, descent and pushouts of stacks" [J. Algebra 331 (1) (2011) 194-223]* (with D. Rydh)

Journal of Algebra,
Volume 498, 15 March 2018, Pages 398-412

*Perfect complexes on algebraic stacks* (with D. Rydh)

Compositio Mathematica, Volume 153, Issue 11, November 2017, pp. 2318-2367

*The telescope conjecture for algebraic stacks* (with D. Rydh)

Journal of Topology, Volume 10, Issue 3, September 2017, pages 776-794

*Openness of versality via coherent functors*

Journal für die reine und angewandte Mathematik (Crelle's Journal), Volume 2017, Issue 722, Pages 137-182

*The Balmer spectrum of a tame stack*

Annals of K-Theory, Vol. 1 (2016), No. 3, 259-274

*Algebraic groups and compact generation of their derived categories of representations* (with D. Rydh)

Indiana University Mathematics Journal, Volume 64, Issue 6, 2015, pp. 1903-1923

*General Hilbert and Quot stacks* (with D. Rydh)

Michigan Mathematical Journal, Volume 64, Issue 2 (2015), 335-347

*Cohomology and base change for algebraic stacks*

Mathematische Zeitschrift, October 2014, Volume 278, Issue 1-2, pp 401-429

*A relative GAGA principle for families of curves*

Journal of the London Mathematical Society (2014), Volume 90, Issue 1, Pp. 29-48

*The Hilbert Stack* (with D. Rydh)

Advances in Mathematics, Volume 253, 1 March 2014, Pages 194-233

*The moduli stack of (all) curves*

Appendix B to: *Towards a classification of modular compactifications $\mathcal{M}_{g,n}$ *

Inventiones Mathematicae, May 2013, Volume 192, Issue 2, pp 459-503

*Mayer-Vietoris squares in algebraic geometry* (with D. Rydh)

Submitted

*Coherent Tannaka duality and algebraicity of Hom-stacks* (with D. Rydh)

Submitted

*GAGA theorems*

Submitted

*A Luna étale slice theorem for algebraic stacks* (with J. Alper and D. Rydh)

*Tannaka duality for algebraic stacks with quasi-affine diagonal* (with D. Rydh)

In preparation

*The étale local structure of algebraic stacks* (with J. Alper and D. Rydh)

In preparation

*Coherence criteria for half-exact functors* (with D. Rydh)

In preparation

#### Past Teaching

MATH 511B: Algebra (Spring 2018)

MATH 511A: Algebra (Fall 2017)

MATH 536B: Algebraic Geometry (Spring 2017)

MATH 536A: Algebraic Geometry (Fall 2016)