Dan Margalit --- About --- Team --- Research --- Books --- Teaching --- REU

Research Articles

My research articles are listed below, roughly by topic. Click on a title to download. You can also find my papers on the arXiv.


Torelli groups

Generating the Torelli group
-----w/ Allen Hatcher
-----L'Enseignement Mathématique 58 (2012), 165-188.

The dimension of the Torelli group
-----w/ Mladen Bestvina and Kai-Uwe Bux
-----Journal of the AMS 23 (2010), no. 1, 61-105.

Dimension of the Torelli group for Out(Fn)
-----w/ Mladen Bestvina and Kai-Uwe Bux
-----Inventiones Mathematicae 170 (2007), no. 1, 1-32. ---

Hyperelliptic Torelli groups

The level four braid group
-----w/ Tara Brendle
-----Journal für die reine und angewandte Mathematik, to appear

Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t = −1
-----w/ Tara Brendle and Andy Putman
-----Inventiones Mathematicae 200 (1) p. 263-310, 2015.

Factoring in the hyperelliptic Torelli group
-----w/ Tara Brendle
-----Mathematical Proceedings of the Cambridge Philosophical Society, 159 (02), 207-217, 2015.

Point pushing, homology, and the hyperelliptic involution
-----w/ Tara Brendle
-----Michigan Mathematical Journal 62(3), 451-473, 2013.

Cohomology of the hyperelliptic Torelli group
-----w/ Tara Brendle and Leah Childers
-----Israel Journal of Mathematics, 195, 613-630, 2013. ---

Automorphisms of Mapping Class Groups and Curve Complexes

Abstract commensurators of right-angled Artin groups and mapping class groups
-----w/ Matt Clay and Chris Leininger
-----Mathematical Research Letters 21 (3) 461-467, 2014.

Injections of Artin groups
-----w/ Robert Bell
-----Commentarii Mathematici Helvetici, 82 (2007) 725-751.

Weil-Petersson isometries via the pants complex
-----w/ Jeff Brock
----- Proceedings of the AMS 135 (2007), 795-803.

Braid groups and the co-Hopfian property
-----w/ Robert Bell
-----Journal of Algebra 303: 275-294, 2006.

Abstract commensurators of braid groups
-----w/ Chris Leininger
-----Journal of Algebra 299 (2): 447-455, 2006.

Curve complexes and finite index subgroups of mapping class groups
-----w/ Jason Behrstock
-----Geometriae Dedicata 118(1): 71-85, 2006.

Commensurations of the Johnson kernel
-----w/ Tara Brendle
-----Geometry and Topology 4:1361-1384, 2004.

Addendum to: Commensurations of the Johnson kernel
-----w/ Tara Brendle
-----Geometry and Topology 12 (2008), 97-101.

Automorphisms of the pants complex
-----Duke Mathematical Journal 121(3): 457-479, 2004. ---

Pseudo-Anosov Stretch Factors

Pseudo-Anosov stretch factors and homology of mapping tori
-----w/ Ian Agol and Chris Leininger
-----Journal of the London Mathematical Society 93 (3), 664-682, 2016.

On the number and location of short geodesics in moduli space
-----w/ Chris Leininger
-----Journal of Topology, 6(1), 30-48, 2013.

Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds
-----w/ Benson Farb and Chris Leininger
-----Advances in Mathematics, 228(3): 1466-1502, 2011.

The lower central series and pseudo-Anosov dilatations
-----w/ Benson Farb and Chris Leininger
-----The American Journal of Mathematics 130 (2008), no. 3, 799-827.

A homological recipe for pseudo-Anosovs
-----w/ Steven Spallone
-----Mathematical Research Letters 14 (2007), no.5, 853-863. ---

Geometry of the Complex of Curves

Efficient geodesics and an effective algorithm for distance in the complex of curves
-----w/ Joan Birman and Bill Menasco
-----Mathematische Annalen 366(3), 1253-1279, 2016. ---

Relations in Mapping Class Groups

Two-generator subgroups of the pure braid group
-----w/ Chris Leininger
-----Geometriae Dedicata 147(1): 107-113, 2010.

Dehn twists have roots
-----w/ Saul Schleimer
-----Geometry and Topology 13 (2009), 1495-1497.

Geometric presentations for the pure braid group
-----w/ Jon McCammond
-----Journal of Knot Theory and Its Ramifications 18 (2009), no. 1, 1-20.

A lantern lemma
-----Alg. and Geom. Topology 2: 1179-1195 2002. ---

Lefschetz Fibrations

Lefschetz fibrations and Torelli groups
-----w/ Inanc Baykur
-----Geometriae Dedicata 177 (1), 275-291, 2015.

Indecomposable surface bundles over surfaces
-----w/ Inanc Baykur
-----Journal of Topology and Analysis 5(2), 161-181, 2013.

Expository Articles

The Birman-Hilden theory
-----w/ Rebecca Winarski

Thurston’s Work on Surfaces (book review)
-----Bulletin of the AMS 51 (1), 151-161, 2014.

A Carnival of Calculus
---MAA Focus, May 2008