H I E R A R C H I C A L H Y P E R B O L I C I T Y
	The original series of papers about Hierarchically Hyperbolic Spaces: Hierarchically hyperbolic spaces I: curve complexes for cubical groups, with M. Hagen and A. Sisto Geometry & Topology, vol. 21, 1731-1804, 2017. Hierarchically hyperbolic spaces II: combinations theorems and the distance formula, with M. Hagen and A. Sisto Pacific Journal of Mathematics, vol. 299, 257-338, 2019. Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups, with M. Hagen and A. Sisto Proceedings of the London Mathematical Society, vol. 114, 890-926, 2017. Quasiflats in hierarchically hyperbolic spaces, with M. Hagen and A. Sisto Duke Mathematical Journal, vol. 170, 909-996, 2021. Introductions to HHSs: What is a hierarchically hyperbolic space? by A. Sisto London Math. Soc. Lecture Note Ser., vol. 454, Cambridge Univ. Press, Cambridge, 2019. Blog post about HHS by Alessandro Sisto Introductory minicourse by Davide Spriano: Intro to HHSs Minicourse (3 talk series) Two (independent) introductory talks by Alessandro Sisto: Intro to HHSs (via MCG) Intro to HHSs (via cube complexes) Introduction to HHSs minicourse by Jason Behrstock: Talk 1: Coarse Geometry of MCG Talk 2: Curve Complexes for Cube Complexes Talk 3: Quasiflats in HHSs Lecture notes from a course by Alex Wright about Coarse geometry, Teichmuller theory, and hierarchical hyperbolicity Lecture videos: Advances in Hierarchical Hyperbolicity, a conference at BIRS celebrating 10 years of hierarchical hyperbolicity. Videos are available for most of the talks, several of which survey different sub-topics Daniel Berlyne organized a hybrid conference on HHSs focusing on quotients of HHGs. The conference included introductions to various aspects of the theory; the talks are available for viewing in these videos More: HHS papers on the math arXiv; this list isn't comprehensive, but pulls up a number of papers in the area Some current practitioners:

H I E R A R C H I C A L H Y P E R B O L I C I T Y

The original series of papers about Hierarchically Hyperbolic Spaces:

Hierarchically hyperbolic spaces I: curve complexes for cubical groups, with M. Hagen and A. Sisto
Geometry & Topology, vol. 21, 1731-1804, 2017.
Hierarchically hyperbolic spaces II: combinations theorems and the distance formula, with M. Hagen and A. Sisto
Pacific Journal of Mathematics, vol. 299, 257-338, 2019.
Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups, with M. Hagen and A. Sisto
Proceedings of the London Mathematical Society, vol. 114, 890-926, 2017.
Quasiflats in hierarchically hyperbolic spaces, with M. Hagen and A. Sisto
Duke Mathematical Journal, vol. 170, 909-996, 2021.

Introductions to HHSs:

What is a hierarchically hyperbolic space? by A. Sisto
London Math. Soc. Lecture Note Ser., vol. 454, Cambridge Univ. Press, Cambridge, 2019.
Blog post about HHS by Alessandro Sisto
Introductory minicourse by Davide Spriano:
Intro to HHSs Minicourse (3 talk series)
Two (independent) introductory talks by Alessandro Sisto:
Intro to HHSs (via MCG)
Intro to HHSs (via cube complexes)
Introduction to HHSs minicourse by Jason Behrstock:
Talk 1: Coarse Geometry of MCG
Talk 2: Curve Complexes for Cube Complexes
Talk 3: Quasiflats in HHSs
Lecture notes from a course by Alex Wright about Coarse geometry, Teichmuller theory, and hierarchical hyperbolicity

Lecture videos:

Advances in Hierarchical Hyperbolicity, a conference at BIRS celebrating 10 years of hierarchical hyperbolicity. Videos are available for most of the talks, several of which survey different sub-topics
Daniel Berlyne organized a hybrid conference on HHSs focusing on quotients of HHGs. The conference included introductions to various aspects of the theory; the talks are available for viewing in these videos

HHS papers on the math arXiv; this list isn't comprehensive, but pulls up a number of papers in the area
Some current practitioners: