David Dumas

General

• Curriculum Vitae

Articles

• Bers slices are Zariski dense (with Richard Kent).
  Journal of Topology (2009). doi:10.1112/jtopol/jtp014. Recently published.
• Survey: Complex projective structures.
  In Handbook of Teichmüller Theory, Volume II. Ed. Athanase Papadopoulos. EMS, 2009.   Recently published.
• Slicing, skinning, and grafting (with Richard Kent).
  To appear in American Journal of Mathematics 131, no. 5 (October 2009).
• Projective structures, grafting, and measured laminations (with Michael Wolf).
  Geometry & Topology 12 (2008), no. 1, 351-386.
• Distribution of intersection lengths of a random geodesic with a geodesic lamination (with Martin Bridgeman).
  Ergodic Theory and Dynamical Systems 27 (2007), no. 4, 1055-1072.

  [ Related: Random chords java applet ]

• The Schwarzian derivative and measured laminations on Riemann surfaces.
  Duke Mathematical Journal 140 (2007), no. 2, 203-243.
• Grafting, pruning, and the antipodal Map on Measured Laminations.
  This is an updated version of the paper published in J. Diff. Geom. 74 (2006), 93-118. It includes the correction that is the subject of this erratum.

In Preparation

• Grafting lines fellow travel Teichmüller geodesics (with Young-Eun Choi and Kasra Rafi)
• Holonomy limits of projective structures and Kähler structures on ML

Mathematical Images

• Bug on Notes of Thurston (with Jeff Brock)
• CP¹ structures and Bers slices, an overview with links to several galleries, including:
  • Bers slice images
  • Bers slice animations
  • 3D Bers slice visualization
• Limit sets
• For fun: Ray-traced convex hulls of limit sets
• Miscellaneous mathematical images that do not fit into the specialized galleries

Slides from past talks

• Slicing, Skinning, and Grafting (PDF)
  
  • Geometry and Dynamics in Surfaces and 3-Manifolds, Brown University (5/3/2007)
  • Complex geometry seminar, Johns Hopkins University (4/26/2007)
• Grafting Coordinates for Teichmüller Space (PDF)
  
  • AMS sectional meeting at the University of Connecticut (10/29/2006)
• Analysis and Geometry of CP¹ Structures on Surfaces (PDF)
  
  • Teichmüller Space, Classical and Quantum workshop at MFO (6/2/2006)
  • 2006 Georgia Topology Conference (5/20/2006)
  • Teichmüller Theory and Moduli Problems workshop at HRI (1/10/2006)

Collaborators

• Martin Bridgeman (Boston College)
• Young-Eun Choi
• Richard Kent (Brown University)
• Kasra Rafi (Univeristy of Chicago)
• Michael Wolf (Rice University)

Places

• Math at Brown, where I was a Tamarkin Assistant Professor and NSF Postdoc for three years (2005-2008).
• Math at Rice, where I spent the 2004-2005 academic year as an NSF Postdoc.
• Math at Harvard, where I spent five years as a graduate student.
• Math and physics at Penn State, where I spent four years as an undergraduate.
• Pennsbury School District, where I was a student for nine years.

Things

• Zometool lets you create cool polyhedral models. (I have the advanced math kit.)

Not Me

• I do not own a stained glass company. (www.ddumas.com)
• I am not a real estate agent in Colorado. (www.daviddumas.com)
• As far as I know, I am not related to the Jerome Dumas who arrived in Jamestown, Virginia in 1700. However, you are welcome to explore the large genealogical database at www.dumas.com and find out for sure. (Let me know what you discover.)

Computing

• Is your web page still readable if you remove the CSS? (The link is a bookmarklet, so you can try it on other pages.)
• This page is hosted and maintained without the use of Microsoft software.
• I am a user and supporter of Debian GNU/Linux, and an advocate of free and open source software.