Danny Calegari's Home Page

Danny Calegari Richard Merkin Professor of Mathematics 286 Sloan Department of Mathematics California Institute of Technology Pasadena CA 91125 (626) 395 4360

Contents

• Curriculum Vitae
• Publications and work to appear
• Papers in progress and submission
• Books
• Miscellaneous mathematics and programs
• 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 B&Gamma 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 to appear
• Quasimorphisms and laws Algebr. Geom. Topol. 10 (2010), no. 1, 215-217

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

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

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
• Scl, sails and surgery
• With C. Gordon - Knots with small rational genus

In Preparation

• With A. Walker - Faces of the scl norm ball II
• With H. Sun and S. Wang - On fibered commensurability

Slides from talks

• Slides from a public lecture intended for high school students (none came) at Swinburne in 2005 with the title Continued Fractals

Books

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

Miscellaneous mathematics and programs

• Notes for a short course given at Tokyo Institute of Technology in September 2000
• Notes on a theorem of Craig Hodgson
• Notes on Chern-Simons invariants of hyperbolic manifolds
• Notes on Scissors Congruence and Dehn invariants
• Notes on perturbing foliations to contact structures
• Miscellaneous mathematical notes
• Java applets and other programs
  • Mandelbrot set explorer Java applet
  • Thin Obstacle Problem Java applet
  • Invariant lamination calculator Java applet
  • iknot X11 program.
  • lamination X11 program.
  • scallop command line tool to compute stable commutator length in free groups version 0.2, July 2008
  • corps X11 tool to produce .eps shaded line drawings of surfaces version 0.1, January 2009

PhD students supervised

• Thomas Mack, 2006. Quasiconvex subgroups and nets in hyperbolic groups
• Roberto Pelayo, 2007. Diameter bounds on the complex of minimal genus Seifert surfaces for hyperbolic knots
• Rupert Venzke, 2008. Braid forcing, hyperbolic geometry, and pseudo-Anosov sequences of low entropy
• Dongping Zhuang, 2009. A geometric study of commutator subgroups

Current students with webpages

• Joel Louwsma
• Alden Walker
• Steven Frankel

Course and seminar home pages

Administrative details

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