I am broadly interested in geometric and topological data analysis, an area of mathematics at the intersection of many mathematical fields: geometry, topology, linear algebra, optimization, computing, and machine learning. I am particularly interested in developing and applying tools from computational geometry and topology to a wide variety of data sets from hyperspectral imagery to biological aggregations.

I am a founder of the Women in Computational Topology (WinCompTop) listserv ( join by sending a blank email to:<WinCompTop+subscribe@groups.google.com>) and was the PI of the NSF grant to fund the inaugural WinCompTop Workshop at the IMA in August of 2016. For a description of the program, see the write-up in the AWM newsletter.

I am a founder of the Women in Computational Topology (WinCompTop) listserv ( join by sending a blank email to:<WinCompTop+subscribe@groups.google.com>) and was the PI of the NSF grant to fund the inaugural WinCompTop Workshop at the IMA in August of 2016. For a description of the program, see the write-up in the AWM newsletter.

Manuscripts

Sparse Locally Linear Embedding
Stratifying High Dimensional Data Based on Proximity to the Convex Hull Boundary (Preprint) Persistence Images: A Stable Vector Representation of Persistent Homology (Preprint) Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies (Preprint) Topological Data Analysis of Biological Aggregation Models An Application of Persistent Homology on Grassmann Manifolds for the Detection of Signals in Hyperspectral Imagery (Preprint) Reflections on Math Students' Circles: Two Personal Stories from Colorado Flipped Calculus: A Study of Student Performance and Perceptions On the Strengthening of Topological Signals in Persistent Homology through Vector Bundle Based Maps A Complete Characterization of the 1-Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs (Preprint) Mind the Gap: A Study in Global Development through Persistent Homology (Preprint) Assessing Biological Model Validity using Topological Data Analysis |
Ziegelmeier, M. Kirby, and C. Peterson
L. Ziegelmeier, M. Kirby, and C. Peterson H. Adams, S. Chepushtanova, T. Emerson, E. Hanson, M. Kirby, F. Motta, R. Neville, C. Peterson, P. Shipman, and L. Ziegelmeier S. Chepushtanova, M. Kirby, C. Peterson, and L. Ziegelmeier D. Topaz, L. Ziegelmeier, and T. Halverson S. Chepushtanova, M. Kirby, C. Peterson, and L. Ziegelmeier D. White and L. Ziegelmeier L. Ziegelmeier and C. Topaz E. Hanson, F. Motta, C. Peterson, and L. Ziegelmeier E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, and L. Ziegelmeier A. Banman and L. Ziegelmeier M. Ulmer, L. Ziegelmeier, and C. Topaz |
2017
2017 2017 2016 2015 2015 2015 2015 2012 To Appear Under Review In Preparation |

## PhD Dissertation

Selected Talks

Here are some highlighted talks that I have given. A full list may be found in my CV.

Measuring the Shape of Data with Topology

Marquette Univeristy colloquium 2017, St. Olaf College colloquium 2016, and Macalester College MSCS Department Seminar 2015

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies

2nd Annual Meeting of SIAM Central States Section, invited presentation on special session Applied and Computational Topology 2016

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies (Poster)

WinCompTop Workshop 2016

Persistence Images: An Alternative Persistent Homology Representation

2016 JMM and 4th Annual Minisymposium on Computational Topology at SoCG 2015

Topological Data Analysis of Biological Aggregation Models

2016 JMM

The Topology of Agent-based Swarms

Algorithms for Threat Detection Workshop 2015

To Flip or Not to Flip: A Study of Student Performance and Perceptions in Applied Calculus

Talking About Teaching, Macalester College 2015

A Math Circles Camp at Colorado State University

2015 JMM, MAA Session on What Makes a Successful Math Circle: Organization and Problems.

On the Data of Images

Augsburg College Math Colloquium 2014

A Study of Flipping vs Not Flipping in Applied Calculus

MathFest 2014, Themed contributed paper session on Flipping Pedagogy in College Mathematics Courses.

An Algorithm in Computational Geometry and an Exploration in Computational Topology

Postdoc seminar for IMA thematic program Scientific and Engineering Applications of Algebraic Topology 2014

A Quadratic Program to Stratify High Dimensional Data Based on Proximity to the Convex Hull

2014 JMM AWM Workshop for Graduate Students and Recent PhDs

Digital Images: They're Not Just For Viewing

Conversations About Our Scholarly Lives, Macalester College 2013

Sparse Nearest Neighbor Selection for the Locally Linear Embedding Algorithm

AMS Spring Western Section Meeting 2013

Solution to Sparse Locally Linear Embedding using Split Bregman

2012 DTRA/NSF Algorithm Workshop in San Diego, CA.

Locally Linear Embedding Clustering with an Application to Landscape Ecology

8th Annual Front Range Applied Mathematics Conference 2012

Sparse Locally Linear Embedding

ICIAM 2011

Sparse Locally Linear Embedding for Extracting Structure in Hyperspectral Data

2011 DTRA/NSF Algorithm Workshop

Biological Landscape Organizer and Semi-Supervised Segmenting Machine

2011 DTRA/NSF Algorithm Workshop

Locally Linear Embedding and Quantization Techniques for Subspace Segmentation of Bio-chemical Data Sets

2010 DTRA/NSF Algorithm Workshop

Measuring the Shape of Data with Topology

Marquette Univeristy colloquium 2017, St. Olaf College colloquium 2016, and Macalester College MSCS Department Seminar 2015

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies

2nd Annual Meeting of SIAM Central States Section, invited presentation on special session Applied and Computational Topology 2016

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies (Poster)

WinCompTop Workshop 2016

Persistence Images: An Alternative Persistent Homology Representation

2016 JMM and 4th Annual Minisymposium on Computational Topology at SoCG 2015

Topological Data Analysis of Biological Aggregation Models

2016 JMM

The Topology of Agent-based Swarms

Algorithms for Threat Detection Workshop 2015

To Flip or Not to Flip: A Study of Student Performance and Perceptions in Applied Calculus

Talking About Teaching, Macalester College 2015

A Math Circles Camp at Colorado State University

2015 JMM, MAA Session on What Makes a Successful Math Circle: Organization and Problems.

On the Data of Images

Augsburg College Math Colloquium 2014

A Study of Flipping vs Not Flipping in Applied Calculus

MathFest 2014, Themed contributed paper session on Flipping Pedagogy in College Mathematics Courses.

An Algorithm in Computational Geometry and an Exploration in Computational Topology

Postdoc seminar for IMA thematic program Scientific and Engineering Applications of Algebraic Topology 2014

A Quadratic Program to Stratify High Dimensional Data Based on Proximity to the Convex Hull

2014 JMM AWM Workshop for Graduate Students and Recent PhDs

Digital Images: They're Not Just For Viewing

Conversations About Our Scholarly Lives, Macalester College 2013

Sparse Nearest Neighbor Selection for the Locally Linear Embedding Algorithm

AMS Spring Western Section Meeting 2013

Solution to Sparse Locally Linear Embedding using Split Bregman

2012 DTRA/NSF Algorithm Workshop in San Diego, CA.

Locally Linear Embedding Clustering with an Application to Landscape Ecology

8th Annual Front Range Applied Mathematics Conference 2012

Sparse Locally Linear Embedding

ICIAM 2011

Sparse Locally Linear Embedding for Extracting Structure in Hyperspectral Data

2011 DTRA/NSF Algorithm Workshop

Biological Landscape Organizer and Semi-Supervised Segmenting Machine

2011 DTRA/NSF Algorithm Workshop

Locally Linear Embedding and Quantization Techniques for Subspace Segmentation of Bio-chemical Data Sets

2010 DTRA/NSF Algorithm Workshop

Selected Conferences and Workshops

TDA: Theory and Applications Workshop (Organizer
Macalester College, St. Paul, MN, June 2017 WinCompTop Workshop (Organizer) Minneapolis, Minnesota, August 2016 North Central Section Meeting of the MAA (Organizer) St. Paul, Minnesota, April 2016 International Symposium on Computational Geometry 2015 Einhoven, Netherlands, June 2015 2013, 2014, 2015, 2016 Joint Mathematics Meetings 2010, 2011, 2012, 2015 Defense Threat Reduction Agency/National Science Foundation Algorithms for Threat Detection Workshops IMA Annual Thematic Year on Scientific and Engineering Applications of Algebraic Topology Minneapolis, Minnesota, September 2013-May 2014 2013/2014 Project NExT Workshop and MAA MathFest Mathematics Research Community on Discrete and Computational Geometry Snowbird, Utah, June 2012 8th Annual Front Range Applied Mathematics Conference Denver, Colorado, March 2012 International Congress of Industrial and Applied Mathematics Vancouver, Canada, July 2011 SIAM Conference on Data Mining Pheonix, Arizona, April 2011 Broadening Participation in the Mathematical Sciences Harvey Mudd College, February 2011 |