David Bachman
Professor of 数学
With Pitzer Since: 2004
字段组: 数学
Campus Address: 埃弗瑞220年
电话: 909.607.7961
Campus email: [email protected]
Office Hours: See 教师 Directory
Educational Background
PhD, 数学, The University of Texas at Austin
BS, 数学, State University of New York at Binghamton
Research Interests
Knot theory and 3-Manifold 托波尔ogy: normal and almost normal surfaces, Heegaard splittings, thin position, Dehn的手术, contact structures
几何: hyperbolic geometry, minimal surfaces, surface modelling
Recent 课程
数学 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 几何学etry (MATH142)
Low-Dimensional 托波尔ogy (MATH145B)
Recent Publications
“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 数学, 597 (2013), 177–194.
“On the Existence of High Index 托波尔ogically Minimal Surfaces,” Mathematical Research Letters,卷. 17, no. 3 (2010). With Jesse Johnson.
“拓扑 Index Theory for Surfaces in 3-Manifolds,” 几何学. 托波尔.,卷.14, no.1 (2010).
“Connected Sums of Unstabilized Heegaard Splittings are Unstabilized,” 几何学. 托波尔.,卷.12, no.4 (2008).
Advanced Calculus eMYSTiFieD. New York: McGraw-Hill, 2007.
A 几何学etric Approach to Differential Forms. 波士顿: Birkhauser (1st edition, 2006; 2nd edition, 2012).
Recent Conferences and Invited Talks
“Normalizing 托波尔ogically Minimal Surfaces,” presented at Mathematical Congress of the Americas, 瓜, 墨西哥, 8月5 - 9, 2013.
“Normalizing 托波尔ogically Minimal Surfaces,” presented at Low-dimensional 托波尔ogy and 几何学etry, 图卢兹, 法国, 6月24 - 28, 2013.
“Normalizing 托波尔ogically Minimal Surfaces,” presented at AMS Section Meeting, 埃姆斯, IA, 4月27日, 2013.
“Parallels between 几何学etrically Minimal and 托波尔ogically Minimal Surfaces,” Workshop on Minimal Surfaces, 3-Manifold 托波尔ogy and Related Topics, 波士顿, MA, 4月28日, 2013.
“拓扑, PL, and 几何学etric Minimal Surfaces,” 46th Spring 托波尔ogy and Dynamics Conferences (semi-plenary speaker), 墨西哥城, 墨西哥, 3月22 - 24, 2012.
“拓扑, PL, and 几何学etric Minimal Surfaces,” The 8th East Asian School of Knots and Related Topics (plenary speaker), 大田市, 韩国, 1月9 - 12, 2012.
“Normalizing 托波尔ogically Minimal Surfaces,” paper presented at the American Mathematical Society Section Meeting, Iowa City, IA, March 20, 2011.
Selected Grants, Awards, and Honors
NSF Research Grant (PI, DMS–1207804), “Applications of 托波尔ogically Minimal Surfaces,” 2012-15.
Mathematical Association of America Tensor-SUMMA grant, for The Claremont Colleges’ Gateway to the Mathematical Sciences program, 2010-11.
Additional Information
课程 Vitae
Personal Academic Website
