Selected lectures

Videos

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

• Geometry and Topology in Data Science and Machine Learning
• Multiple Hypothesis Testing in Persistent Homology
  Seminar talk in the AATRN online seminar series.
• The beauty of mathematics
  Colloquium talk at CUNY College of Staten Island
• 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.

Lecture slides

I make accessible some of my lecture slides here.

• 2025, Joint Mathematics Meetings, k-means considered harmful (Powerpoint) PDF
• 2024, Computational Persistence Workshop, Co-Presentations of Persistence Modules (Powerpoint) PDF
• 2024, Computational Persistence Workshop, Highly Symmetric Point Clouds (Powerpoint) PDF
• 2024, MathFest, More (tie)knots than we Thought (Powerpoint) PDF
• 2024, UK TDA Meeting, Highly Symmetric Point Clouds (Powerpoint)
• 2023, Joint Math Meetings, Multiple Hypothesis Testing (Powerpoint)
• 2022, Union Mathematics Conference, Multiple Hypothesis Testing (HTML)
• 2021, CUNY Graduate Center, Initiative for the Theoretical Sciences, Introduction to Data Science and Machine Learning Symposium:
  Geometry and Topology in Data Science and Machine Learning: Powerpoint PDF
• 2021, SIAM Conference on Computational Science and Engineering:
  Multiple Hypothesis Testing with Persistent Homology: Powerpoint
• 2019, Symposium on Data Science and Statistics:
  Competition Based Teaching of Machine Learning: PDF Powerpoint
• 2019, AATRN Online Seminar Series:
  Multiple Hypothesis Testing in Persistent Homology
• 2018, Hunter College Fibres of Failure: PDF Keynote
• 2018, Fall Workshop on Computational Geometry, Fibres of Failure: PDF Keynote
• 2018, College of Staten Island, Dean's Colloquium Beauty of Mathematics: PDF Keynote
• 2018, Bridges Mathematical Art, invited talk Tieknots: Keynote
• 2018, QIMC Showcase Mapper and Topological Data Analysis: Keynote
• 2018, Joint Mathematics Meetings: Fibres of Failure: PDF Keynote
• 2017, Joint Mathematics Meetings:
  Persistent homology & algebraic foundations; Keynote
  Keynote 09 PDF, without animations PPT, zipped to keep animations
• 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