
- David_Bachman@pitzer.edu
- Phone
- (909) 607-7961
- Office Location
Avery 220
- Office Hours
- Contact Professor
- Website
With 兔子先生 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)
鈥淪tabilizing and Destabilizing Heegaard Splittings of Sufficiently Complicated 3-Manifolds,鈥 Mathematische Annalen, 355 (2013), no. 2, 697鈥728.
鈥淎lmost normal surfaces with boundary,鈥 (with R. Derby-Talbot and E. Sedgwick), Contemporary Mathematics, 597 (2013), 177鈥194.
鈥淥n the Existence of High Index Topologically Minimal Surfaces,鈥 Mathematical Research Letters, vol. 17, no. 3 (2010). With Jesse Johnson.
鈥淭opological Index Theory for Surfaces in 3-Manifolds,鈥 Geom. Topol., vol.14, no.1 (2010).
鈥淐onnected Sums of Unstabilized Heegaard Splittings are Unstabilized,鈥 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).
鈥淣ormalizing Topologically Minimal Surfaces,鈥 presented at Mathematical Congress of the Americas, Guanajuato, Mexico, August 5-9, 2013.
鈥淣ormalizing Topologically Minimal Surfaces,鈥 presented at Low-dimensional Topology and Geometry, Toulouse, France, June 24-28, 2013.
鈥淣ormalizing Topologically Minimal Surfaces,鈥 presented at AMS Section Meeting, Ames, IA, April 27, 2013.
鈥淧arallels between Geometrically Minimal and Topologically Minimal Surfaces,鈥 Workshop on Minimal Surfaces, 3-Manifold Topology and Related Topics, Boston, MA, April 28, 2013.
鈥淭opological, PL, and Geometric Minimal Surfaces,鈥 46th Spring Topology and Dynamics Conferences (semi-plenary speaker), Mexico City, Mexico, March 22-24, 2012.
鈥淭opological, PL, and Geometric Minimal Surfaces,鈥 The 8th East Asian School of Knots and Related Topics (plenary speaker), Daejeon, Korea, January 9-12, 2012.
鈥淣ormalizing Topologically Minimal Surfaces,鈥 paper presented at the American Mathematical Society Section Meeting, Iowa City, IA, March 20, 2011.
NSF Research Grant (PI, DMS鈥1207804), 鈥淎pplications of Topologically Minimal Surfaces,鈥 2012-15.
Mathematical Association of America Tensor-SUMMA grant, for The Claremont Colleges鈥 Gateway to the Mathematical Sciences program, 2010-11.
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