Math @ Duke
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John J Steenbergen, Graduate Student
Please note: John has left the Mathematics department at Duke University; some info here might not be up to date. - Contact Info:
Office Location: | 274G Physics | Office Phone: | (919) 660-2800 | Email Address: | | Typical Courses Taught:
- MATH 32, INTRODUCTORY CALCULUS II
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- MATH 41L, INTRO CALCULUS II WITH APPLICA
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- MATH 41L, INTRO CALCULUS II WITH APPLICA
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- MATH 32L, LABORATORY CALCULUS II
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- MATH 32L, LABORATORY CALCULUS II
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- 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 newly-defined 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 High-dimensional Data Analysis Dimension Reduction Methods Clustering Spectral Graph Theory
- Curriculum Vitae
- Recent Publications
- J.J. Steenbergen, Caroline Klivans, Sayan Mukherjee., “A Cheeger-Type Inequality on Simplicial Complexes”
(Preprint, September, 2012) (Under Review, Advances in Applied Mathematics.) [5091]
- Selected Talks
- A Cheeger-Type Inequality for Simplicial Complexes, November 21, 2012, Princeton University IDeAS Seminar [IDeAS-archive]
- A Cheeger-Type Inequality for Simplicial Complexes, November 12, 2012, Duke University Data Seminar [mcal]
- A Cheeger-Type 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]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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