Math @ Duke

John J Steenbergen, Graduate Student
 Contact Info:
Office Location:  274G Physics  Office Phone:  (919) 6602800  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:
My attention has been focused on the spectra of the Hodge Laplacians defined on simplicial complexes and how they relate to certain newlydefined isoperimetric constants and random walks. The goal is to generalize the theory of graph expansion to higher dimensions and, ultimately, to analyze the geometry of data via Laplacian eigenvalues.
 Areas of Interest:
Applied and Computational Topology/Geometry Topological/Geometrical Data Analysis Highdimensional Data Analysis Dimension Reduction Methods Clustering Spectral Graph Theory
 Curriculum Vitae
 Recent Publications
 J.J. Steenbergen, Caroline Klivans, Sayan Mukherjee., “A CheegerType Inequality on Simplicial Complexes”
(Preprint, September, 2012) (Under Review, Advances in Applied Mathematics.) [5091]
 Selected Talks
 A CheegerType Inequality for Simplicial Complexes, November 21, 2012, Princeton University IDeAS Seminar [IDeASarchive]
 A CheegerType Inequality for Simplicial Complexes, November 12, 2012, Duke University Data Seminar [mcal]
 A CheegerType Inequality for Simplicial Complexes, November 03, 2012, The 8th Annual UNCG Regional Mathematics and Statistics Conference [html]
 Dimension Reduction, Laplacians, and Cheeger Numbers, November 05, 2011, The 7th Annual UNCG Regional Mathematics and Statistics Conference [html]
 Dimension Reduction, Laplacians, and Cheeger Numbers, October 13, 2011, Duke University Data Seminar [mcal]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

