Danny Calegari's Home Page

Danny Calegari
Professor of Mathematics
353 Ryerson
University of Chicago
email: dannyc
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Curriculum Vitae
Publications and work to appear
Papers in progress and submission
Books
Software
PhD students
Course and seminar home pages
Research blog
Teaching schedule and travel

Curriculum Vitae

My Curriculum Vitae is available in TeX, pdf, or HTML.

Publications and work to appear

Research Papers

Papers are listed in roughly the order in which they were published.

Strong geometric isolation in 3-orbifolds Bull. Austral. Math. Soc. 53 (1996), no. 2, 271-280
R-covered foliations of hyperbolic 3-manifolds Geom. Topol. 3 (1999), 137-153
Foliations transverse to triangulations of 3-manifolds Comm. Anal. Geom. 8 (2000), no. 1, 133-158
A degree one Borsuk-Ulam theorem Bull. Austral. Math. Soc. 61 (2000), no. 2, 267-268
The Gromov norm and foliations Geom. Func. Anal. 10 (2000), no. 6, 1423-1447
The Geometry of R-covered foliations Geom. Topol. 4 (2000), 457-515
Napoleon in isolation Proc. Amer. Math. Soc. 129 (2001), no. 10, 3109-3119
Leafwise smoothing laminations Algebr. Geom. Topol. 1 (2001), 579-585
Almost continuous extension for taut foliations Math. Res. Lett. 8 (2001), no. 5-6, 637-640
Distortion of leaves in product foliations Top. Appl. 124 (2002), no. 2, 205-209
With N. Dunfield - Commensurability of 1-cusped hyperbolic 3-manifolds Trans. Amer. Math. Soc. 354 (2002), no. 7, 2955-2969
Every orientable 3-manifold is a BΓ Algebr. Geom. Topol. 2 (2002), 433-447
Problems in foliations and laminations of 3-manifolds Proc. Symp. Pure Math. 71 (2003), 297-335
Foliations with one-sided branching Geom. Dedicata 96 (2003), 1-53
With N. Dunfield - Laminations and groups of homeomorphisms of the circle Invent. Math. 152 (2003), no. 1, 149-204
Circular groups, planar groups, and the Euler class Geom. Topol. Mon. 7 (Proceedings of the Casson Fest) (2004), 431-491
Dynamical forcing of circular groups Trans. Amer. Math. Soc. 358 (2006), no. 8, 3473-3491
With N. Dunfield - An ascending HNN extension of a free group inside SL(2,C) Proc. Amer. Math. Soc. 134 (2006), no. 11, 3131-3136
With D. Gabai - Shrinkwrapping and the taming of hyperbolic 3-manifolds Jour. Amer. Math. Soc. 19 (2006), no. 2, 385-446
Real places and torus bundles Geom. Dedicata 118 (2006), no. 1, 209-227
With M. Freedman, and an appendix by Y. de Cornulier - Distortion in transformation groups Geom. Topol. 10 (2006), 267-293
Promoting essential laminations Invent. Math. 166 (2006), no. 3, 583-643
Universal circles for quasigeodesic flows Geom. Topol. 10 (2006), 2271-2298
Denominator bounds in Thompson-like groups and flows Groups, Geometry, Dynamics 1 (2007), no. 2, 101-109
Stable commutator length in subgroups of PL(I) Pacific J. Math. 232 (2007), no. 2, 257-262
Word length in surface groups with characteristic generating sets Proc. Amer. Math. Soc. 136 (2008), no. 7, 2631-2637
Length and stable length Geom. Func. Anal. 18 (2008), no. 1, 50-76
Nonsmoothable, locally indicable group actions on the interval Algebr. Geom. Topol. 8 (2008), no. 1, 609-613
Surface subgroups from homology Geom. Topol. 12 (2008), 1995-2007
With D. Zhuang - Large scale geometry of commutator subgroups Algebr. Geom. Topol. 8 (2008), no. 4, 2131-2146
Faces of the scl norm ball Geom. Topol. 13 (2009), 1313-1336
Stable commutator length is rational in free groups Jour. Amer. Math. Soc. 22 (2009), no. 4, 941-961
With K. Fujiwara - Stable commutator length in word hyperbolic groups Groups, Geometry, Dynamics 4 (2010), no. 1, 59-90
With M. Freedman and K. Walker - Positivity of the universal pairing in 3 dimensions Jour. Amer. Math. Soc. 23 (2010), 107-188
With K. Fujiwara - Combable functions, quasimorphisms, and the central limit theorem Ergodic Theory Dynam. Systems 30 (2010), no. 5, 1343-1369
Quasimorphisms and laws Algebr. Geom. Topol. 10 (2010), no. 1, 215-217
Chimneys, leopard spots, and the identities of Basmajian and Bridgeman Algebr. Geom. Topol. 10 (2010), no. 3, 1857-1863
Bridgeman's orthospectrum identity Topol. Proc. 38 (2011), 173-179
With J. Louwsma - Immersed surfaces in the modular orbifold Proc. Amer. Math. Soc. 139 (2011), 2295-2308
With H. Sun and S. Wang - On fibered commensurability Pacific J. Math. 250 (2011), no. 2, 287-317
Scl, sails and surgery Jour. Topology 4 (2011), no. 2, 305-326
With D. Zhuang - Stable W-length Contemp. Math. 560 (2011), 145-169
With A. Walker - Isometric endomorphisms of free groups New York J. Math. 17 (2011), 713-743
With A. Walker - Ziggurats and rotation numbers J. Mod. Dynamics 5 (2011), no. 4, 711-746
With C. Gordon - Knots with small rational genus Comment. Math. Helv. 88 (2013), no. 1, 85-130
Certifying incompressibility of non-injective surfaces with scl Pacific J. Math. 262 (2013), no. 2, 257-262
With A. Walker - Random rigidity in the free group Geom. Topol. 17 (2013), 1707-1744
With A. Walker - Integer hulls of linear polyhedra and scl in families Trans. Amer. Math. Soc. 365 (2013), no. 10, 5085-5102
With J. Maher - Statistics and compression of scl Ergodic Theory Dynam. Systems 35 (2015), no. 1, 64-110
With A. Walker - Random groups contain surface subgroups Jour. Amer. Math. Soc. 28 (2015), 383-419
With N. Monden and M. Sato - On stable commutator length in hyperelliptic mapping class groups Pacific J. Math. 272 (2014), no. 2, 323-351
With K. Fujiwara - Counting subgraphs in hyperbolic graphs with symmetry J. Math. Soc. Japan 67 (2015), no. 3, 1213-1226
With A. Walker - Surface subgroups from linear programming Duke Math. J. 164 (2015), no. 5, 933-972 (old version)
With H. Wilton - 3-Manifolds everywhere Jour. de Math. Pures et Appliquees, to appear
With D. Rolfsen - Groups of PL homeomorphisms of cubes Ann. Math. Toulouse, to appear
With S. Koch and A. Walker - Roots, Schottky Semigroups, and a proof of Bandt's Conjecture Ergodic Theory Dynam. Systems, to appear
Coxeter groups and random groups Proceedings of the Thurston Memorial Conference, to appear

Survey or Expository Papers

Geometry and topology of R-covered foliations Electron. Res. Announc. Amer. Math. Soc. 6 (2000), 31-39
3-manifold positivity and the topological Cauchy-Schwarz inequality Proc. Conf. Osaka City Univ. "Intelligence of Low-Dimensional Topology" (2007) 65-70
What is . . . stable commutator length? Notices Amer. Math. Soc. 55 (2008), no. 9, 1100-1101
The Euler class of planar groups Contemp. Math. 498 (2009), 141-149
The ergodic theory of hyperbolic groups Contemp. Math. 597 (2013), 15-52

Book Reviews

A Certain Ambiguity by Gaurav Suri & Hartosh Singh Bal; Notices Amer. Math. Soc. 55 (2008), no. 2, 235-237
Riemannian Holonomy Groups and Calibrated Geometry by Dominic Joyce; SIAM Review 50 (2008), no. 3, 599-601
A Primer on Mapping Class Groups by Benson Farb and Dan Margalit; SIAM Review 56 (2014), no.3, 554-557

Short Stories (excerpts)

A Green Light winner of The Age short story award, published January 1993
The Rubbernecks published in Quadrant magazine, January 1994
PANTOPIA published in Southerly quarterly journal, December 1993
The Intermediary published in Overland magazine, Summer 1993

Miscellaneous

Edited with B. Farb - Remembering John Stallings Notices Amer. Math. Soc. 56 (2009), no. 11, 1410-1417

Papers in progress and submission

Preprints

Hyperbolic 3-manifolds, tameness, and Ahlfors' measure conjecture; lecture notes from a minicourse at the IUM during February 19-23, 2007
With H. Wilton - Random graphs of free groups contain surface subgroups
Dipoles and Pixie dust

In Preparation

Random groups, diamonds and glass
Random subgroups of random groups

Slides from public and expository talks

Slides from a public lecture intended for high school students (none came) at Swinburne in 2005 with the title Continued Fractals
Slides from a public lecture at Melbourne University in 2011 with the title The Shape of the Internet
Slides from my inaugural lecture as Professor of Mathematics at Cambridge in 2012 with the title The Topological Cauchy-Schwarz Inequality
Slides from a Meet The Faculty lecture at U Chicago in 2014 with the title Kleinian groups and 3-Manifolds; also, a movie
Slides from a keynote talk at BUGCAT2014 with the title Building surfaces

Books

Foliations and the Geometry of 3-Manifolds Oxford University Press, Published May 2007. A .pdf of the book is available for download.
scl Mathematical Society of Japan Monographs, Published June 2009. A .pdf of the book is available for download.

Software

My recent software projects can be downloaded from my github page. Alden Walker's github page has the latest version of scallop. A few older java applets are linked here.