Some of my lectures, and other instances of me presenting my research or basic mathematics feature in video of some form or other.

- Towards a Topos Basis for Persistent Homology

Seminar talk at the IMA Year on applied topology. - Necktie knots, formal languages and network security

Seminar talk at the IMA Year on applied topology. - Introduction to Gröbner bases and connections to persistence

Seminar talk at the IMA Year on applied topology. - The power of naming.

TEDxKTH talk. 2015-12-08.

I make accessible some of my lecture slides here.

- 2017, USMA West Point seminar; CUNY Graduate Center Mathematical Physics and Fourier Analysis seminar; CUNY Graduate Center Computer Science Colloquium:

Introduction to Topological Data analysis; Keynote - 2016, EPFL Seminar:

Topology in the furnace; Keynote

Keynote 09 PDF, without animations - 2015, CAT2015 TDA, Oxford University:

Towards a topos foundation for persistent homology

Keynote Keynote 09 - 2015, AUS-ICMS 2015, American University of Sharjah:

Towards a topological machine learning

Keynote Keynote 09 - 2014, US Military Academy, West Point: Necktie knots, formal languages, information security
- 2014, Joint Mathematics Meetings

Topological Data Analysis - a software survey

The Junior Mathematical Congress series of youth outreach events

On tie knots - 2013, European Conference on Complex Systems: Topological Data Analysis - a software survey
- 2013, University of Glasgow, Colloquium: Topological Data Analysis
- 2012, University of St Andrews: Parallelizing zigzag persistence
- 2012, Colloquium, University of Edinburgh: The topology of politics
- 2012, SIAM Annual Meeting: Recent advances and trends in applied algebraic topology
- 2012, Stanford, Algebraic Topology: Applications and new directions: Computation of spectral sequences of double complexes with applications to persistent homology
- 2012, ATMCS Edinburgh: Algebraic persistence - the algebra of persistence modules
- 2012, KTH: Algebraic persistence - the algebra of persistence modules
- 2012, GTS: javaPlex - a research platform for persistent homology
- 2012, Computational Geometry Week: Algebraic persistence - the algebra of persistence modules
- 2011, University of Edinburgh: Topological Data Analysis
- 2011, Dartmouth University: Point clouds of varieties and persistent homology
- 2011, Dartmouth University: Colloquium - The topology of Politics
- 2011, KTH: Applications of Algebraic Topology
- 2011, MEGA: javaPlex - persistent homology in Java
- 2011, NCSU: Colloquium talk: Topological Data Analysis and the construction of intrinsic circle-valued coordinates
- 2010, Uni Kaiserslautern: teaching sample, computational topology
- 2010, University of Western Ontario: Persistent cohomology and period reconstruction
- 2010, ICMS, Kobe: Operadic Gröbner bases - an implementation
- 2010, University of Linköping: Topology of Politics
- 2010, Nafpaktos, Topology & Applications: Persistent cohomology and circle-valued coordinates
- 2010, ATMCS Münster: Persistent cohomology and circle-valued coordinates
- 2009, Uppsala University: Persistent cohomology and circle-valued coordinates: analyzing periodicity with sparse sampling
- 2009, Pomona College: Persistent cohomology and circle-valued coordinates
- 2009, NUI Galway: Persistent cohomology and circle-valued coordinates
- 2009, Banff Research Station: Persistent cohomology and circle-valued coordinates