Talks
Upcoming talks, minisymposia, and conferences
 With Mehmet Aktas, Wenwen Li, Murad Ozaydin, coorganizing a minisymposium on Applied and Computational Topology at the SIAM Central States Section Meeting, University of Oklahoma, Oct 57, 2018
 Speaking at the Upstate New York Topology Seminar (UNYTS), University of Albany, Nov 1011, 2018.
 Speaking at the AMS Special Session on Topological Data Analysis: Theory and Applications, Joint Mathematics Meetings, Baltimore, Jan 19, 2019.
 With Maria D'Orsogna, Rachel Neville, Jose Perea, Chad Topaz, coorganizing an ICERM Topical Workshop on Applied mathematical modeling with topological techniques, Aug 59, 2019.
Research talks
 Survey: From persistent homology to machine learning feature vectors. TRIPODS Summer Bootcamp on Topology and Machine Learning, ICERM, Aug 2018. [Slides]
 Connections between Čech complexes and Carathéodory orbitopes. Special Session on Algebraic, Geometric, and Topological Methods in Combinatorics at the AMS Sectional Meeting, Northeastern University, Boston, Apr 2018. [Slides]
 Metric reconstruction via optimal transport. LafayetteLehigh GeometryTopology Seminar, Apr 2018. [Slides]
 An introduction to applied topology. Undergraduate colloquium at Lafayette College, Apr 2018. [Slides]
 The theory of VietorisRips complexes. AMS special session on Topological Data Analysis, Joint Mathematics Meetings in San Diego, Jan 2018. [Slides]
 Metric reconstruction via optimal transport. [Abstract, Slides, Notes]
 The theory of VietorisRips complexes. Applied Topology Seminar, Brown University, March 2017. [Abstract, Notes]
 VietorisRips complexes of circles, ellipses, and higherdimensional spheres. Topology, Geometry, and Data Analysis seminar at The Ohio State University, Feb 2017. [Abstract, Notes]
 An introduction to applied and computational topology.
 Cyclic polytopes and nerve complexes. Rocky Mountain Algebraic Combinatorics Seminar, Oct 2016. [Abstract, Notes]
 The theory of VietorisRips complexes: What is known and what is open? Minisymposium on Applied and Computational Topology at the SIAM Central States Section Meeting, Oct 2016. [Slides]
 What is topology, and how is it applied to data analysis? Front Range Computational & Systems Biology Symposium, July 2016.
 VietorisRips complexes of circles and ellipses. Joint Mathematics Meetings, AMS Special Session on Applied and Computational Topology, Jan 2016. [Abstract, Slides]
 Random cyclic dynamical systems. Rocky Mountain Algebraic Combinatorics Seminar, Sept 2015. [Abstract]

The VietorisRips complexes of a circle.
[Abstract,
Slides,
Poster]
 University of Rochester Data Science Colloquium, Apr 2015.
 Applied Algebraic Topology Research Network, Online Seminar Series, Mar 2015. [Video]
 Colloquium at Colorado State University, Jan 2015.
 Geometry and Topology Seminar at Tulane University, Nov 2014.
 Applied Topology Seminar at the University of Pennsylvania, Nov 2014.
 Graduate and Faculty Seminar at Duke University, Oct 2014.
 Colloquium at UNC Greensboro, Oct 2014.
 Geometry and Topology Seminar at North Carolina State University, Sept 2014.
 IMA Postdoc Seminar, May 2014.
 IMA Postdoc Seminar, Oct 2013.

Evasion paths in mobile sensor networks.
[Abstract,
Slides,
Poster,
Multimedia]
 Williams College Colloquium, Mar 2018.
 Topological data analysis of exclusion zones, Edinburgh, Scotland, Dec 2017.
 CSU Pattern Analysis Lab, Oct 2015.
 Duke Graduate & Faculty Seminar, Feb 2015.
 IMA Workshop on Topological Systems: Communication, Sensing, and Actuation, Mar 2014. [Video]
 Rocky Mountain Algebraic Combinatorics Seminar, Nov 2013.
 SIAM Conference on Applied Algebraic Geometry, Aug 2013.
 Applied Topology in Będlewo, July 2013.
 MSRI Workshop on Algebraic Topology, June 2013. [Video]
 Ayasdi Topology Day, June 2013.
 Stanford CompTop Seminar, May 2013.
 Special Session on Applied and Computational Topology at MAA MathFest, Aug 2012.
 Algebraic Topology: Applications and New Directions, July 2012.
 Minisymposium on Applied Algebraic Topology at SIAM Annual Meetings, July 2012. [Video]
 Schloss Dagstuhl Seminar on Applications of Combinatorial Topology to Computer Science, Mar 2012.
 AMS Special Session on Computational and Applied Topology, Joint Meetings, Jan 2012.
 SIAM Conference on Applied Algebraic Geometry, Oct 2011.

Nudged elastic band in topological data analysis.
[Abstract]
 SIAM Conference on Applied Algebraic Geometry, Oct 2011. [Slides]
 Stanford CompTop Seminar, Jan 2010. [Slides]
 AMSSIAM Special Session on Applications of Algebraic Geometry, Joint Meetings, Jan 2010.
 Topological data analysis: Understanding optical flow. IMA Short Course on Applied Algebraic Topology, June 2009. [Slides]
Software talks and demonstrations
 Introduction to Javaplex software for persistent homology. [Abstract]
 Introduction to JPlex software for persistent homology.
Departmental talks and Expository talks
 Using homotopy colimits to understand infinite simplicial complexes. CSU Applied Topology Seminar, May 2018. [Abstract, Notes]
 An introduction to homotopy colimits. CSU Applied Topology Seminar, April 2018. [Abstract, Notes]
 VietorisRips complexes of the circle. CSU Applied Topology Seminar, Oct 2017.
 Sperner's lemma and fair division. CSU Math Club, Oct 2017. [Abstract, Notes]
 An introduction to VietorisRips complexes. CSU Applied Topology Seminar, Sep 2017.
 Introduction to discrete Morse theory. University of Minnesota Student Topology Seminar, Dec 2013. [Notes]
 Applied topology. Stanford University Mathematics Camp Guest Lecture Series, July 2013. [Slides]
 Applied topology. Stanford University Mathematics Camp Guest Lecture Series, July 2011.
 Coverage problems in sensor networks. Stanford Undergraduate Mathematical Organization Speaker Series, May 2010. [Abstract]
Conferences organized
 With Jeffrey Brock, Melissa McGuirl, Bjorn Sandstede, and Yitzchak Solomon, coorganized an ICERM TRIPODS Summer Bootcamp on Topology and Machine Learning, August 610, 2018. Software tutorial available.
Minisymposia organized
 With Ellen Gasparovic and Katharine Turner, coorganized the 7th Annual Minisymposium on Computational Topology at Computational Geometry Week, Budapest, June 2018.
 With Mikael VejdemoJohansson, coorganized an AMS special session on Topological Data Analysis at the Joint Mathematics Meetings in San Diego, Jan 2018.
 With Florian Frick, coorganized a session on Symmetric Simplicial Complexes and Polytopes at the SIAM Conference on Applied Algebraic Geometry, Georgia Institute of Technology, JulAug 2017.
 With Bala Krishnamoorthy, coorganized a session on Recent Advances in Applied Algebraic Topology at the AMS Western Sectional Meeting, Washington State University, Apr 2017.
 With Patrick Shipman, coorganized a minisymposium on Applied and Computational Topology at the SIAM Central States Section Meeting, University of Arkansas at Little Rock, Oct 2016.
Poster presentations
 Metric reconstruction via optimal transport. SIAM Conference on Applied Algebraic Geometry, July 2017. [Poster]
 The VietorisRips complexes of a circle. ICERM Workshop on Topology and Geometry in a Discrete Setting, Nov 2016. [Poster]
 The VietorisRips complex of the circle. IMA Workshop on Topology and Geometry of Networks and Discrete Metric Spaces, Apr 2014. [Poster]
 VietorisRips and restricted Čech complexes of circular points. IMA Workshop on Topological Systems: Communication, Sensing, and Actuation, Mar 2014. [Poster]
 Evasion paths in mobile sensor networks. [Poster]
 Mobile sensors and pursuitevasion: Can directed algebraic toplogy help? Aalborg GETCO Workshop, Jan 2010. [Poster]