Please get in touch (m[dot]colbrook[at]damtp.cam.ac.uk) if you would like me to present at your event or seminar.

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## Previous Talks

Jan 2021 | Lectures: On the barriers of AI and the trade-off between stability and accuracy in deep learning21st Geilo Winter School in eScience (link, Session 1 slides, Session 2 slides, Session 3 slides) | Online |

10 Dec 2020 | Talk: Diagonalising Infinite-Dimensional Operators:Computing spectral measures of self-adjoint operators Annual Meeting of the Australian Mathematical Society (link, slides) | Online Seminar |

6 Dec 2020 | Talk: A Mathieu function boundary spectral method for acoustic scatteringCanadian Mathematical Society Winter Meeting (link, slides) | Online Seminar |

26 Oct 2020 | Talk: Diagonalising Infinite-Dimensional Operators:Computing spectral measures of self-adjoint operators Communications in NLA (link, slides, video) | Online Seminar |

30 Aug - 2 Sep 2020 | Talk: How To Compute Spectra
With Error ControlOn The Foundations of Infinite-Dimensional Spectral Computations Computational Techniques & Applications Conference (link, slides) | University of New South Wales |

14-15 July 2020 | Talk: The Foundations of Infinite-Dimensional Spectral ComputationsBritish Early Career Mathematicians' Colloquium (link, slides) | University of Birmingham |

23 June 2020 | Talk: How to compute spectral properties of operators on Hilbert spaces with error controlCollective Phenomena Group (link, slides) | TCM, Cavendish Laboratory University of Cambridge |

3 June 2020 | Talk: How to compute spectral properties of operators on Hilbert spaces with error controlElectronic Structure Group (link, slides) | TCM, Cavendish Laboratory University of Cambridge |

26 May 2020 | Talk: Scattering, Acoustic Black Holes and Mathieu Functions:A boundary spectral method for diffraction by multiple variable poro-elastic plates Waves in Complex Continua (Wavinar) See the design logo computed using methods in this talk (link, slides, video) | International Centre for Mathematical Sciences |

5 May 2020 | Talk: The Foundations of Infinite-Dimensional Spectral Computations:Can we compute spectral properties? Applied and Interdisciplinary Mathematics Seminar & Numerical Analysis Seminar (link, slides) | University of Bath |

15 April 2020 | Talk: The Foundations of Infinite-Dimensional Spectral ComputationsApplied Mathematics Seminar (link, slides) | UC Berkeley |

9-13 Dec 2019 | Talk: The Foundations of Infinite-Dimensional Spectral ComputationsComplex analysis: techniques, applications and computations (link, slides, video) | Sir Isaac Newton Institute |

5-30 Aug 2019 | Talk: Solving Wiener-Hopf type problems numerically: a spectral method approachIsaac Newton Institute Workshop on Wiener-Hopf technique (link, slides, video) | Sir Isaac Newton Institute |

8-12 Jul 2019 | Talk: Do stable networks with recovery guarantees exist?Applied Inverse Problems Conference (link, slides) | Universite Grenoble-Alpes |

25-28 Jun 2019 | Talk: Spectral problems and new resolvent based methods28th Biennial Numerical Analysis Conference (link, slides) | University of Strathclyde |

14 June 2019 | Talk: Resolving the resolvent: How to "diagonalise" infinite matricesOxford-Cambridge Applied Mathematics Meeting (link, slides) | University of Oxford |

23 May 2019 | Talk: On Instabilities of Deep Learning in Image ReconstructionThe Mathematics of Deep Learning and Data Science (link, slides, video) | Sir Isaac Newton Institute |

22 May 2019 | Talk: Spectral resolvent based methodsImperial–UCL Numerics Seminar | Imperial College London |

10 May 2019 | Talk: Can neural networks always be trained? On the boundaries of deep learningDépartement de mathématiques et applications de l’ENS (link, slides) | École Normale Supérieure |

6 May 2019 | Talk: Can neural networks always be trained? On the boundaries of deep learningBiomedical Imaging Seminar (link, slides) | École Polytechnique Fédérale de Lausanne |

2 May 2019 | Talk: Spectral analysis and new resolvent based methodsApplied Partial Differential Equations Seminar (link, slides) | University of Washington |

1 May 2019 | Talk: Can neural networks always be trained? On the boundaries of deep learningCambridge Analysts' Knowledge Exchange (link, slides) | University of Cambridge |

24 Apr 2019 | Talk: The Unified Transform: A New Tool for Scattering ProblemsBritish Applied Mathematics Colloquium 2019 (link, slides) | University of Bath |

10 Apr 2019 | Talk: The Unified Transform: A New Tool for Scattering ProblemsCambridge Analysts' Knowledge Exchange (link, slides) | University of Cambridge |

12 Feb 2019 | Talk: Using the Unified Transform (Fokas method) for acoustic scattering problemsWaves Group Seminar (link, slides) | University of Cambridge |

19 Nov 2018 | Talk: The Computational Spectral Problem and a New Classification Theory: Novel Algorithms, Impossibility Results and Computer Assisted ProofsApplied and Computational Mathematics Seminar (link, slides) | UC Irvine |

16 Nov 2018 | Talk: The Computational Spectral Problem and a New Classification Theory: Novel Algorithms, Impossibility Results and Computer Assisted ProofsAnalysis and Applied Math Seminar (link, slides) | UC Berkeley |

12 Nov 2018 | Talk: The Computational Spectral Problem and a New Classification Theory; Novel Algorithms, Impossibility Results and Computer Assisted ProofsScientific Computing and Numerics (SCAN) Seminar (link, slides) | Cornell University |

24 Oct 2018 | Talk: The Computational Spectral Problem and a New Classification Theory: Novel Algorithms, Impossibility Results and Computer Assisted ProofsCambridge Analysts' Knowledge Exchange (link, slides) | University of Cambridge |

2-7 Sep 2018 | Talk: On the solvability complexity index hierarchy, the computational spectral problem and computer assisted proofsMeasuring the Complexity of Computational Content: From Combinatorial Problems to Analysis (link, slides) | Dagstuhl, Germany |

30 May 2018 | Talk: Infinite dimensional spectral computations and linear algebra: Extending the QR algorithm to infinite dimensionsCambridge Analysts' Knowledge Exchange (link, slides) | University of Cambridge |

3 May 2017 | Talk: A new class of algorithms for computing spectra with error controlSIAM-IMA Cambridge Student Chapter (link, slides) | University of Cambridge |

23 Nov 2016 | Talk: Scaling laws of passive-scalar diffusion in the interstellar medium and links to pseudo-differential equations and levy flightsCambridge Analysts' Knowledge Exchange (link) | University of Cambridge |

Aug 2015 | Talk: A Study of Passive Tracers in the Turbulent Interstellar MediumCaltech SURF scholar program | Caltech |

Sep 2014 | Talk: A numerical model for past ocean circulation and mixingCSRIM Programme | University of Cambridge |

Sep 2014 | Talk: A numerical model for past ocean circulation and mixingInvestigating Past Ocean Dynamics | University of Bern |

## Poster Presentations

23-24 October 2019 | How to compute spectra with error controlSimons Wave Localization Collaboration Workshop: Spectral Computations in Quantum Mechanics and Applications to Material Structure (poster) | Maxwell Centre, University of Cambridge |

1-4 July 2019 | On the existence of stable and accurate neural networks for image reconstructionSignal Processing with Adaptive Sparse Structured Representations (SPARS) workshop (poster) | INP-ENSEEIHT (Toulouse) |

13 June 2019 | Stable and accurate neural networks for image reconstructionGeometric and Topological Approaches to Data Analysis Conference (poster) | Cantab Capital Institute for the Mathematics of Information |

29-31 May 2019 | Stable and accurate neural networks for image reconstructionMathematics of Data Conference (poster) | Alan Turing Institute (London) |