- David_Bachman@pitzer.edu
- Phone
- (909) 607-7961
- Office Location
Avery 220
- Office Hours
- Contact Professor
- Website
- Personal Website
With Pitzer Since: 2004
PhD, Mathematics, The University of Texas at Austin
BS, Mathematics, State University of New York at Binghamton
Knot theory and 3-Manifold Topology: normal and almost normal surfaces, Heegaard splittings, thin position, Dehn surgery, contact structures
Geometry: hyperbolic geometry, minimal surfaces, surface modelling
Mathematics for 3D Printing (MATH10B)
Calculus I (MATH30)
Calculus II (MATH31)
Calculus III (MATH32)
Introduction to Methods of Proof (MATH100)
Math, Art and Environment (MATH009)
Differential Geometry (MATH142)
Low-Dimensional Topology (MATH145B)
“Stabilizing and Destabilizing Heegaard Splittings of Sufficiently Complicated 3-Manifolds,” Mathematische Annalen, 355 (2013), no. 2, 697–728.
“Almost normal surfaces with boundary,” (with R. Derby-Talbot and E. Sedgwick), Contemporary Mathematics, 597 (2013), 177–194.
“On the Existence of High Index Topologically Minimal Surfaces,” Mathematical Research Letters, vol. 17, no. 3 (2010). With Jesse Johnson.
“Topological Index Theory for Surfaces in 3-Manifolds,” Geom. Topol., vol.14, no.1 (2010).
“Connected Sums of Unstabilized Heegaard Splittings are Unstabilized,” Geom. Topol., vol.12, no.4 (2008).
Advanced Calculus eMYSTiFieD. New York: McGraw-Hill, 2007.
A Geometric Approach to Differential Forms. Boston: Birkhauser (1st edition, 2006; 2nd edition, 2012).
“Normalizing Topologically Minimal Surfaces,” presented at Mathematical Congress of the Americas, Guanajuato, Mexico, August 5-9, 2013.
“Normalizing Topologically Minimal Surfaces,” presented at Low-dimensional Topology and Geometry, Toulouse, France, June 24-28, 2013.
“Normalizing Topologically Minimal Surfaces,” presented at AMS Section Meeting, Ames, IA, April 27, 2013.
“Parallels between Geometrically Minimal and Topologically Minimal Surfaces,” Workshop on Minimal Surfaces, 3-Manifold Topology and Related Topics, Boston, MA, April 28, 2013.
“Topological, PL, and Geometric Minimal Surfaces,” 46th Spring Topology and Dynamics Conferences (semi-plenary speaker), Mexico City, Mexico, March 22-24, 2012.
“Topological, PL, and Geometric Minimal Surfaces,” The 8th East Asian School of Knots and Related Topics (plenary speaker), Daejeon, Korea, January 9-12, 2012.
“Normalizing Topologically Minimal Surfaces,” paper presented at the American Mathematical Society Section Meeting, Iowa City, IA, March 20, 2011.
NSF Research Grant (PI, DMS–1207804), “Applications of Topologically Minimal Surfaces,” 2012-15.
Mathematical Association of America Tensor-SUMMA grant, for The Claremont Colleges’ Gateway to the Mathematical Sciences program, 2010-11.
Curriculum Vitae (pdf)