### Introduction to Categorical Approaches in Topological Data Analysis II

Topology, Computation and Data Analysis, Schloss Dagstuhl, Wadern, Germany

July 17, 2017

July 17, 2017

### Reeb graphs, Mapper graphs, and Metrics

47th Annual John H.~Barrett Memorial Lectures, University of Tennessee - Knoxville, TN

Mar 2, 2017

Mar 2, 2017

### The Convergence of Mapper

AWM Research Symposium, UCLA, Los Angeles, CA

Apr 8, 2017

Apr 8, 2017

### The Convergence of Mapper

Brown University, Providence, RI

Mar 9, 2017

Mar 9, 2017

### A Topological Approach to Data Science

Dept.~of Mathematics, Montana State University, Bozeman, MT

Feb 13, 2017

Feb 13, 2017

### A Topological Approach to Data Science

Dept.~of Computational Mathematics, Science, and Engineering, Michigan State University, East Lansing, MI

Jan 11, 2017

Jan 11, 2017

### The interleaving distance for posets

Joint Mathematics Meetings, Atlanta, GA

Jan 4, 2017

Jan 4, 2017

### The Convergence of Mapper

New York Applied Topology Meetings, Columbia University, New York, NY

Dec 9, 2016

Dec 9, 2016

### The interleaving distance for posets

Union College Mathematics Conference, Schenectady, NY

Dec 3, 2016

Dec 3, 2016

### The Reeb graph interleaving distance

Computer Science Seminar, St.~Louis University

Oct 12, 2016

Oct 12, 2016

### Utilizing Topological Data Analysis to Detect Periodicity

International Workshop on Topological Data Analysis in Biomedicine at ACM-BCB, Seattle, WA

Oct 2, 2016

Oct 2, 2016

### The interleaving distance

Geometry and Topology Seminar, Math Department, University at Buffalo, Buffalo, NY

Sep 23, 2016

Sep 23, 2016

### Applications of Persistence to Time Series Analysis

Topology, Geometry, and Data Analysis Conference (TGDA), Ohio State University, Columbus, OH

May 20, 2016

May 20, 2016

### Topological Data Analysis

Junior STEM Idea Exchange (JUSIE): Lightning event, Albany, NY

May 10, 2016

May 10, 2016

### What Does it Mean for Data to Have Shape?

Workshop on the Shape of Educational Data, Fairfax, VA

April 7, 2016

April 7, 2016

### The Reeb Graph Interleaving Distance and its Application to Data Analysis

Combinatorics Seminar, SUNY Binghamton, Binghamton, NY

Mar 15, 2016

Mar 15, 2016

### Topological Data Analysis and its Application to Atmospheric Science Data

Dept of Atmospheric and Environmental Sciences Colloquium, UAlbany, Albany, NY

Feb 15, 2016

Feb 15, 2016

### Topological Data Analysis

Math Department Student Seminar, Union College, Schenectady, NY

Jan 19, 2016

Jan 19, 2016

### Applied Category Theory and the Reeb Graph Interleaving Distance

Geometry and Topology Seminar, NCSU, Raleigh, NC

Jan 13, 2016

Jan 13, 2016

### Complexity of the Reeb Graph Interleaving Distance

CS Theory Seminar, NCSU, Raleigh, NC

Jan 11, 2016

Jan 11, 2016

### Reeb Graph Approximation with Guarantees

Joint Mathematics Meetings, Seattle, WA

Jan 9, 2016

Jan 9, 2016

### Reeb Graph Approximation with Guarantees

Fall Workshop on Computational Geometry (FWCG), Buffalo, NY

Oct 23, 2015

Oct 23, 2015

### The Reeb Graph Interleaving Distance

UAlbany - Algebra/Topology Seminar

Sep 3 (Part I) and Sep 10 (Part II), 2015

Sep 3 (Part I) and Sep 10 (Part II), 2015

### A New Metric for $\mathbb{R}$-graph Comparison

AFRL Annual Applied Topology Workshop, Rome, NY

Aug 7, 2015

Aug 7, 2015

### Demo: Using Perseus to Compute Persistent Homology

UAlbany Applied Topology Reading Group

Aug 6, 2015

Aug 6, 2015

### The Interleaving Distance

CG Week, Symposium on Computational Geometry (SoCG), Eindhoven, Netherlands

June 25, 2015

June 25, 2015

### Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs

Symposium on Computational Geometry (SoCG), Eindhoven, Netherlands

June 24, 2015

June 24, 2015

### Using Topology to Understand Big Data

Junior STEM Idea Exchange (JUSIE), University at Albany - SUNY

Mar 25, 2015

Mar 25, 2015

### Strong Equivalence of Reeb Graph Metrics

Invited Lecture, TU Munich, Munich, Germany

Mar 17, 2015

Mar 17, 2015

### The Cosheaf-Less Reeb Graph Interleaving Distance

Seminar on Computational Geometry, Schloss Dagstuhl, Wadern, Germany

Mar 12, 2015

Mar 12, 2015

### The Interleaving Distance for Reeb Graphs

Applied Algebraic Topology Research Network - Online Seminar

Feb 25, 2015

Feb 25, 2015

### Using Topology to Understand Big Data

Women in Science and Engineering (WISH) Lunch, University at Albany, Albany, NY

Jan 15, 2015

Jan 15, 2015

### Towards Predicting and Preventing Machine Chatter Using Persistent Homology

Invited lecture, Workshop on Topology : Identifying Order in Complex System, Rutgers, New Brunswick, NJ

Oct 18, 2014

Oct 18, 2014

### Using Topology to Understand Big Data

Invited lecture, Modern Math Workshop, Los Angeles, CA

Oct 16, 2014

Oct 16, 2014

### Interleavings of Reeb Graphs

Invited Lecture, AIM Workshop on Generalized Persistence and Applications

Sept 18, 2014

Sept 18, 2014

### Interleavings of Reeb Graphs

Invited Lecture, ATMCS 6, Vancouver, Canada

May 29, 2014

May 29, 2014

### Topological Data Analysis :: Persistent Homology and Applications

Invited Lecture, Systems Information Learning Optimization (SILO), University of Wisconsin - Madison, Madison, WI

April 23, 2014

April 23, 2014

### A Distance Measure on Reeb Graphs

Invited Lecture, Topology, Geometry and Data Seminar, Ohio State University, Columbus, OH

April 11, 2014

April 11, 2014

### Using Persistence to Explore Equilibria of Delay Equations

Invited Lecture, Spring Topology and Dynamics Conference, University of Richmond, Richmond, VA

March 14, 2014

March 14, 2014

### Categorification of Reeb Graphs

Invited Lecture, Workshop on Topological Systems : Communication, Sensing, and Actuation, IMA, Minneapolis, MN

March 6, 2014

March 6, 2014

### Using Persistence to Explore Equilibria of Delay Equations

Poster: Workshop on Algebraic Topology in Dynamics, Differential Equations, and Experimental Data, IMA, Minneapolis, MN

February 11, 2014

February 11, 2014

### Categorification of Reeb Graphs

Invited Lecture, SAMSI Workshop, LDHD: Topological Data Analysis, Durham, NC

February 5, 2014

February 5, 2014

### Extending Statistical Methods to Computational Topology

Invited Lecture, SIAM Minisymposium on Applied and Computational Geometry, JMM, Baltimore, MD

January 17, 2014

January 17, 2014

### A Statistical Approach for Improving Topological Data Analysis

Invited Lecture, University of Rochester, Rochester, NY

January 10, 2014

January 10, 2014

### Categorification of Reeb Graphs

Invited Lecture, Topology Seminar, Tulane University, New Orleans, LA

November 5, 2013

November 5, 2013

### Categorification of Reeb Graphs

IMA Postdoc Seminar, University of Minnesota, Minneapolis, MN

October 22, 2013

October 22, 2013

### A Continuous Mean for Finite Sets of Persistence Diagrams

Invited Lecture, Workshop: Topological Data Analysis, IMA, University of Minnesota, Minneapolis, MN

October 10, 2013

October 10, 2013

### A Continuous Mean for Distributions of Persistence Diagrams

Invited Lecture, SIAM Conference on Applied Algebraic Geometry, Fort Collins, CO

August 2, 2013

August 2, 2013

### An Introduction to Topological Data Analysis

### Applications of Persistent Homology to Time Varying Systems

### Using Persistent Homology to Analyze Behavior in Dynamic Point Clouds

SIAM Student Chapter Lecture Series, Colorado State University, Fort Collins, CO

November 5, 2012

November 5, 2012

### Using Persistent Homology to Analyze Dynamic Point Clouds

Data Research Training Grant Seminar, Duke University, Durham, NC

October 22, 2012

October 22, 2012

### An Intro to Persistent Homology and Some Applications

Graduate/Faculty Seminar, Duke University, Durham, NC

September 7, 2012

September 7, 2012

### Metrics on Vineyards

Computational Geometry Week, Chapel Hill, NC

June 20, 2012

June 20, 2012

### Using vineyards to verify results of an agent-based model of primate group fission and fusion

Poster: Frontiers in Applied and Computational Mathematics, New Jersey Institute of Technology, Newark, NJ

May 18-20, 2012

May 18-20, 2012

### Primates and Vineyards

Duke University Math Slam, Duke University, Durham, NC

March 23, 2012

March 23, 2012

### Utilizing Ideas from Persistent Homology to Compute Probabilistic Sensor Network Coverage

### Applied Topology: Basic Ideas and a Mess of Applications

Graduate/Faculty Seminar, Duke University, Durham, NC

October 14, 2011

October 14, 2011

### Using Persistent Homology to Compute Probabalistic Failure of a Sensor Network

SIAM Conference on Applied Algebraic Geometry, Raleigh, NC

October 6, 2011

October 6, 2011

### Computing Probabilistic Sensor Network Coverage via Algorithms Utilizing Persistent Homology

Geometry and Topology Reading Group, Institute of Science and Technology, Klosterneuburg, Austria

June 20, 2011

June 20, 2011

### Computing Probabilistic Sensor Network Coverage via Algorithms Utilizing Persistent Homology

Computational Geometry Seminar, UNC Chapel Hill, Chapel Hill, NC

February 3, 2011

February 3, 2011

### Failure Filtrations and Coverage of Fenced Sensor Networks

Graduate/Faculty Seminar, Duke University

November 19, 2010

November 19, 2010