Danny Calegari's Home Page
 
Danny Calegari
Professor of Mathematics
353 Ryerson
University of Chicago
email: dannyc
 
Contents
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 3orbifolds
Bull. Austral. Math. Soc. 53 (1996), no. 2, 271280
 Rcovered foliations of
hyperbolic 3manifolds
Geom. Topol. 3 (1999), 137153
 Foliations transverse to triangulations of 3manifolds
Comm. Anal. Geom. 8 (2000), no. 1, 133158
 A degree one BorsukUlam theorem
Bull. Austral. Math. Soc. 61 (2000), no. 2, 267268
 The Gromov norm and foliations
Geom. Func. Anal. 10 (2000), no. 6, 14231447
 The Geometry of Rcovered
foliations
Geom. Topol. 4 (2000), 457515
 Napoleon in isolation
Proc. Amer. Math. Soc. 129 (2001), no. 10, 31093119
 Leafwise smoothing laminations
Algebr. Geom. Topol. 1 (2001), 579585
 Almost continuous extension
for taut foliations Math. Res. Lett. 8 (2001), no. 56, 637640
 Distortion of leaves in
product foliations
Top. Appl. 124 (2002), no. 2, 205209
 With N. Dunfield 
Commensurability of 1cusped hyperbolic 3manifolds
Trans. Amer. Math. Soc. 354 (2002), no. 7, 29552969
 Every orientable 3manifold is a BΓ
Algebr. Geom. Topol. 2 (2002), 433447
 Problems in foliations and laminations
of 3manifolds
Proc. Symp. Pure Math. 71 (2003), 297335
 Foliations with onesided branching
Geom. Dedicata 96 (2003), 153
 With N. Dunfield  Laminations and groups of homeomorphisms of the circle Invent. Math.
152 (2003), no. 1, 149204
 Circular groups, planar groups, and the Euler class
Geom. Topol. Mon. 7 (Proceedings of the Casson Fest) (2004),
431491
 Dynamical forcing of circular groups
Trans. Amer. Math. Soc. 358 (2006), no. 8, 34733491
 With N. Dunfield  An ascending HNN
extension of a free group inside SL(2,C) Proc. Amer. Math. Soc. 134 (2006), no. 11, 31313136
 With D. Gabai  Shrinkwrapping and
the taming of hyperbolic 3manifolds Jour. Amer. Math. Soc. 19 (2006), no. 2, 385446
 Real places and torus bundles
Geom. Dedicata 118 (2006), no. 1, 209227
 With M. Freedman, and an appendix by Y. de Cornulier  Distortion in transformation groups Geom. Topol. 10 (2006), 267293
 Promoting essential laminations
Invent. Math. 166 (2006), no. 3, 583643
 Universal circles for quasigeodesic
flows Geom. Topol. 10 (2006), 22712298
 Denominator bounds in Thompsonlike
groups and flows Groups, Geometry, Dynamics 1 (2007), no. 2, 101109
 Stable commutator length in
subgroups of PL(I) Pacific J. Math. 232 (2007), no. 2, 257262
 Word length in surface groups with
characteristic generating sets Proc. Amer. Math. Soc. 136
(2008), no. 7, 26312637
 Length and stable length Geom.
Func. Anal. 18 (2008), no. 1, 5076
 Nonsmoothable, locally indicable
group actions on the interval Algebr. Geom. Topol. 8 (2008), no. 1, 609613
 Surface subgroups from homology
Geom. Topol. 12 (2008), 19952007
 With D. Zhuang  Large scale
geometry of commutator subgroups Algebr. Geom. Topol. 8 (2008), no. 4, 21312146
 Faces of the scl norm ball
Geom. Topol. 13 (2009), 13131336
 Stable commutator length is rational in free groups Jour. Amer. Math. Soc. 22 (2009), no. 4, 941961
 With K. Fujiwara  Stable commutator length in word hyperbolic groups Groups, Geometry, Dynamics 4 (2010), no. 1, 5990
 With M. Freedman and K. Walker  Positivity of the universal pairing in 3 dimensions Jour. Amer. Math. Soc. 23 (2010), 107188
 With K. Fujiwara  Combable functions, quasimorphisms, and the central limit theorem Ergodic Theory Dynam. Systems 30 (2010), no. 5, 13431369
 Quasimorphisms and laws Algebr. Geom. Topol. 10 (2010), no. 1, 215217
 Chimneys, leopard spots, and the identities of Basmajian and Bridgeman Algebr. Geom. Topol. 10 (2010), no. 3, 18571863
 Bridgeman's orthospectrum identity Topol. Proc. 38 (2011), 173179
 With J. Louwsma  Immersed surfaces in the modular orbifold Proc. Amer. Math. Soc. 139 (2011), 22952308
 With H. Sun and S. Wang  On fibered commensurability Pacific J. Math. 250 (2011), no. 2, 287317
 Scl, sails and surgery Jour. Topology 4 (2011), no. 2, 305326
 With D. Zhuang  Stable Wlength Contemp. Math. 560 (2011), 145169
 With A. Walker  Isometric endomorphisms of free groups New York J. Math. 17 (2011), 713743
 With A. Walker  Ziggurats and rotation numbers J. Mod. Dynamics 5 (2011), no. 4, 711746
 With C. Gordon  Knots with small rational genus Comment. Math. Helv. 88 (2013), no. 1, 85130
 Certifying incompressibility of noninjective surfaces with scl Pacific J. Math. 262 (2013), no. 2, 257262
 With A. Walker  Random rigidity in the free group Geom. Topol. 17 (2013), 17071744
 With A. Walker  Integer hulls of linear polyhedra and scl in families Trans. Amer. Math. Soc. 365 (2013), no. 10, 50855102
 With J. Maher  Statistics and compression of scl Ergodic Theory Dynam. Systems to appear
 With A. Walker  Random groups contain surface subgroups Jour. Amer. Math. Soc. to appear
 With N. Monden and M. Sato  On stable commutator length in hyperelliptic mapping class groups Pacific J. Math. to appear
 With K. Fujiwara  Counting subgraphs in hyperbolic graphs with symmetry J. Math. Soc. Japan to appear
 With A. Walker  Surface subgroups from linear programming Duke Math. J. to appear (old version)
Survey or Expository Papers
Book Reviews
Short Stories (excerpts)
Miscellaneous
Papers in progress and submission
Preprints
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 CauchySchwarz Inequality
 Slides from a Meet The Faculty lecture at U Chicago in 2014 with the title
Kleinian groups and 3Manifolds; also, a movie
 Slides from a keynote talk at BUGCAT2014 with the title Building surfaces
Books
 Foliations and the Geometry of 3Manifolds
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.
PhD students supervised
Current students with webpages
Danny is very interested in getting new graduate students.
For an idea of what it might be like to have Danny as an advisor,
click here
Course and seminar home pages
Caltech 20032011:
 Math. 191e Geometry of
infinite groups Winter 2003
 Math. 157b Introduction to
3manifolds Spring 2003
 Math. 191a Foliations and
3manifolds Fall 2003
 Math. 2b Differential equations
(prac.) Winter 2004
 Math. 157b Riemannian
geometry 2 Spring 2004
 Math. 131 Algebraic
Geometry of Curves Winter 2005
 Math. 157a Riemannian
geometry 1 Winter 2005
 Math. 2a Differential equations (prac.) Fall 2005,06,07,08
 Math. 192a Foliations and the geometry of 3manifolds Fall 2005
 Math. 157b Riemannian
geometry 2 Spring 2006
 Math. 151b Algebraic
topology 2 Winter 2007
 Math. 151a Algebraic
topology 1 Fall 2007
 Math. 151c Algebraic
topology 3 Spring 2008
 Math. 151a Algebraic
topology 1 Fall 2008
 Math. 192b Stable commutator length Winter 2009
 Math. 151a Algebraic
topology 1 Fall 2009
 Math. 151b Algebraic topology 2 Winter 2010
 Math. 157b Riemannian geometry 2 Spring 2010
 Math. 151b Algebraic topology 2 Winter 2011
 Math. 151c Algebraic topology 3 Spring 2011
Chicago 2012:

Harvard 20002002:
Tokyo Institute of Technology 2007:
Cambridge University 20112012:
 Stable commutator length Lent 2012
Conferences organized:
Current geometry seminar
Seminar archives

Administrative details

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last updated: 12th December, 2012
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Source code for various applets and programs is
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