John J. Steenbergen, Graduate Student

Contact Info:

Office Location:	274G Physics
Office Phone:	(919) 660-2854
Email Address:

Typical Courses Taught:

• MATH 32, INTRODUCTORY CALCULUS II

• MATH 41L, INTRO CALCULUS II WITH APPLICA

• MATH 41L, INTRO CALCULUS II WITH APPLICA

• MATH 32L, LABORATORY CALCULUS II

• MATH 32L, LABORATORY CALCULUS II

Education:

PhD (Mathematics, Expected)	Duke University	2013
MS (Mathematics)	Duke University	2010
BS (Mathematics with honors)	Purdue University	2008
BS (Statistics)	Purdue University	2008

Research Interests:

Applied and Computational Topology/Geometry, Topological/Geometrical Data Analysis, High-dimensional Data Analysis, Dimension Reduction Methods, Clustering, Spectral Graph Theory. More specifically, my attention has been focused on the spectral and isoperimetric theory of simplicial complexes (which provide a higher-dimensional notion of expansion) with the intention of analyzing the geometry of data via Laplacian eigenvalues.

Areas of Interest:

High-Dimensional Data Analysis

Curriculum Vitae

Recent Publications

1. J.J. Steenbergen, Caroline Klivans, Sayan Mukherjee., “A Cheeger-Type Inequality on Simplicial Complexes” (Preprint, September, 2012) [5091]

Selected Talks

1. A Cheeger-Type Inequality for Simplicial Complexes, November 03, 2012, The 8th Annual UNCG Regional Mathematics and Statistics Conference [html]    
2. Dimension Reduction, Laplacians, and Cheeger Numbers, November 05, 2011, The 7th Annual UNCG Regional Mathematics and Statistics Conference [html]    
3. Dimension Reduction, Laplacians, and Cheeger Numbers, October 13, 2011, Duke University Data Seminar [mcal]