Office Location: | 274G Physics |

Office Phone: | (919) 660-2800 |

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 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

**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]

- J.J. Steenbergen, Caroline Klivans, Sayan Mukherjee.,

**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]