Danny Calegari's Home Page

Danny Calegari University Professor (Chair) of Pure Mathematics E1.04 DPMMS Cambridge University 01223764270

Contents

• 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

Mathematical Papers

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

Research Papers

1. Strong geometric isolation in 3-orbifolds Bull. Austral. Math. Soc. 53 (1996), no. 2, 271-280
2. R-covered foliations of hyperbolic 3-manifolds Geom. Topol. 3 (1999), 137-153
3. Foliations transverse to triangulations of 3-manifolds Comm. Anal. Geom. 8 (2000), no. 1, 133-158
4. A degree one Borsuk-Ulam theorem Bull. Austral. Math. Soc. 61 (2000), no. 2, 267-268
5. The Gromov norm and foliations Geom. Func. Anal. 10 (2000), no. 6, 1423-1447
6. The Geometry of R-covered foliations Geom. Topol. 4 (2000), 457-515
7. Napoleon in isolation Proc. Amer. Math. Soc. 129 (2001), no. 10, 3109-3119
8. Leafwise smoothing laminations Algebr. Geom. Topol. 1 (2001), 579-585
9. Almost continuous extension for taut foliations Math. Res. Lett. 8 (2001), no. 5-6, 637-640
10. Distortion of leaves in product foliations Top. Appl. 124 (2002), no. 2, 205-209
11. With N. Dunfield - Commensurability of 1-cusped hyperbolic 3-manifolds Trans. Amer. Math. Soc. 354 (2002), no. 7, 2955-2969
12. Every orientable 3-manifold is a B&Gamma Algebr. Geom. Topol. 2 (2002), 433-447
13. Problems in foliations and laminations of 3-manifolds Proc. Symp. Pure Math. 71 (2003), 297-335
14. Foliations with one-sided branching Geom. Dedicata 96 (2003), 1-53
15. With N. Dunfield - Laminations and groups of homeomorphisms of the circle Invent. Math. 152 (2003), no. 1, 149-204
16. Circular groups, planar groups, and the Euler class Geom. Topol. Mon. 7 (Proceedings of the Casson Fest) (2004), 431-491
17. Dynamical forcing of circular groups Trans. Amer. Math. Soc. 358 (2006), no. 8, 3473-3491
18. 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
19. With D. Gabai - Shrinkwrapping and the taming of hyperbolic 3-manifolds Jour. Amer. Math. Soc. 19 (2006), no. 2, 385-446
20. Real places and torus bundles Geom. Dedicata 118 (2006), no. 1, 209-227
21. With M. Freedman, and an appendix by Y. de Cornulier - Distortion in transformation groups Geom. Topol. 10 (2006), 267-293
22. Promoting essential laminations Invent. Math. 166 (2006), no. 3, 583-643
23. Universal circles for quasigeodesic flows Geom. Topol. 10 (2006), 2271-2298
24. Denominator bounds in Thompson-like groups and flows Groups, Geometry, Dynamics 1 (2007), no. 2, 101-109
25. Stable commutator length in subgroups of PL(I) Pacific J. Math. 232 (2007), no. 2, 257-262
26. Word length in surface groups with characteristic generating sets Proc. Amer. Math. Soc. 136 (2008), no. 7, 2631-2637
27. Length and stable length Geom. Func. Anal. 18 (2008), no. 1, 50-76
28. Nonsmoothable, locally indicable group actions on the interval Algebr. Geom. Topol. 8 (2008), no. 1, 609-613
29. Surface subgroups from homology Geom. Topol. 12 (2008), 1995-2007
30. With D. Zhuang - Large scale geometry of commutator subgroups Algebr. Geom. Topol. 8 (2008), no. 4, 2131-2146
31. Faces of the scl norm ball Geom. Topol. 13 (2009), 1313-1336
32. Stable commutator length is rational in free groups Jour. Amer. Math. Soc. 22 (2009), no. 4, 941-961
33. With K. Fujiwara - Stable commutator length in word hyperbolic groups Groups, Geometry, Dynamics 4 (2010), no. 1, 59-90
34. With M. Freedman and K. Walker - Positivity of the universal pairing in 3 dimensions Jour. Amer. Math. Soc. 23 (2010), 107-188
35. With K. Fujiwara - Combable functions, quasimorphisms, and the central limit theorem Ergodic Theory Dynam. Systems 30 (2010), no. 5, 1343-1369
36. Quasimorphisms and laws Algebr. Geom. Topol. 10 (2010), no. 1, 215-217
37. Chimneys, leopard spots, and the identities of Basmajian and Bridgeman Algebr. Geom. Topol. 10 (2010), no. 3, 1857-1863
38. Bridgeman's orthospectrum identity Topol. Proc. 38 (2011), 173-179
39. With J. Louwsma - Immersed surfaces in the modular orbifold Proc. Amer. Math. Soc. 139 (2011), 2295-2308
40. With H. Sun and S. Wang - On fibered commensurability Pacific J. Math. 250 (2011), no. 2, 287-317
41. With C. Gordon - Knots with small rational genus Comment. Math. Helv. to appear
42. Scl, sails and surgery Jour. Topology 4 (2011), no. 2, 305-326
43. With D. Zhuang - Stable W-length Contemp. Math. 560 (2011), 145-169
44. With A. Walker - Isometric endomorphisms of free groups New York J. Math. 17 (2011), 713-743
45. With A. Walker - Ziggurats and rotation numbers J. Mod. Dynamics to appear
46. With A. Walker - Integer hulls of linear polyhedra and scl in families Trans. Amer. Math. Soc. to appear

    Survey or Expository Papers

47. Geometry and topology of R-covered foliations Electron. Res. Announc. Amer. Math. Soc. 6 (2000), 31-39
48. 3-manifold positivity and the topological Cauchy-Schwarz inequality Proc. Conf. Osaka City Univ. "Intelligence of Low-Dimensional Topology" (2007) 65-70
49. What is . . . stable commutator length? Notices Amer. Math. Soc. 55 (2008), no. 9, 1100-1101
50. 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
• With J. Maher - Statistics and compression of scl
• With A. Walker - Random rigidity in the free group
• The ergodic theory of hyperbolic groups
• Certifying incompressibility of non-injective surfaces with scl

In Preparation

• With A. Walker - Circles and quasimorphisms
• Random turtles in the hyperbolic plane

Slides from public 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

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

• Mandelbrot set explorer Java applet
• Thin Obstacle Problem Java applet
• Invariant lamination calculator Java applet
• iknot X11 program
• lamination X11 program
• scallop command line scl calculator (version 2.11, includes vast improvements by Alden Walker)
• corps X11 tool to produce .eps shaded line drawings of surfaces version 0.1, January 2009

Up to date versions of scallop/wallop/etc. can be found on Alden Walker's software page

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 (aka John Aaber), 2008. Braid forcing, hyperbolic geometry, and pseudo-Anosov sequences of low entropy
• Dongping Zhuang, 2009. A geometric study of commutator subgroups
• Joel Louwsma, 2011. Extremality of the rotation quasimorphism on the modular group

Current students with webpages

• Alden Walker
• Steven Frankel

Course and seminar home pages

Administrative details

There have been N visitors to this page. last updated: 3rd November, 2011 Copyright notice Optimized for use with Safari Source code for various applets and programs is released under the terms of the GNU GPL.