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


Previous Talks

Jan 2021Lectures: On the barriers of AI and the trade-off between stability and accuracy in deep learning
21st Geilo Winter School in eScience
(link, Session 1 slides, Session 2 slides, Session 3 slides)
Online
10 Dec 2020Talk: Diagonalising Infinite-Dimensional Operators:
Computing spectral measures of self-adjoint operators

Annual Meeting of the Australian Mathematical Society
(link, slides)
Online Seminar
6 Dec 2020Talk: A Mathieu function boundary spectral method for acoustic scattering
Canadian Mathematical Society Winter Meeting
(link, slides)
Online Seminar
26 Oct 2020Talk: Diagonalising Infinite-Dimensional Operators:
Computing spectral measures of self-adjoint operators

Communications in NLA
(link, slides, video)
Online Seminar
30 Aug - 2 Sep 2020Talk: How To Compute Spectra With Error Control
On The Foundations of Infinite-Dimensional Spectral Computations

Student prize: Selected as highly commended.
Computational Techniques & Applications Conference
(link, slides)
University of New South Wales
14-15 July 2020Talk: The Foundations of Infinite-Dimensional Spectral Computations
British Early Career Mathematicians' Colloquium
(link, slides)
University of Birmingham
23 June 2020Talk: How to compute spectral properties of operators on Hilbert spaces with error control
Collective Phenomena Group
(link, slides)
TCM, Cavendish Laboratory
University of Cambridge
3 June 2020Talk: How to compute spectral properties of operators on Hilbert spaces with error control
Electronic Structure Group
(link, slides)
TCM, Cavendish Laboratory
University of Cambridge
26 May 2020Talk: 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 2020Talk: 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 2020Talk: The Foundations of Infinite-Dimensional Spectral Computations
Applied Mathematics Seminar
(link, slides)
UC Berkeley
9-13 Dec 2019Talk: The Foundations of Infinite-Dimensional Spectral Computations
Complex analysis: techniques, applications and computations
(link, slides, video)
Sir Isaac Newton Institute
5-30 Aug 2019Talk: Solving Wiener-Hopf type problems numerically: a spectral method approach
Isaac Newton Institute Workshop on Wiener-Hopf technique
(link, slides, video)
Sir Isaac Newton Institute
8-12 Jul 2019Talk: Do stable networks with recovery guarantees exist?
Applied Inverse Problems Conference
(link, slides)
Universite Grenoble-Alpes
25-28 Jun 2019Talk: Spectral problems and new resolvent based methods
28th Biennial Numerical Analysis Conference
(link, slides)
University of Strathclyde
14 June 2019Talk: Resolving the resolvent: How to "diagonalise" infinite matrices
Oxford-Cambridge Applied Mathematics Meeting
(link, slides)
University of Oxford
23 May 2019Talk: On Instabilities of Deep Learning in Image Reconstruction
The Mathematics of Deep Learning and Data Science
(link, slides, video)
Sir Isaac Newton Institute
22 May 2019Talk: Spectral resolvent based methods
Imperial–UCL Numerics Seminar
Imperial College London
10 May 2019Talk: Can neural networks always be trained? On the boundaries of deep learning
Département de mathématiques et applications de l’ENS
(link, slides)
École Normale Supérieure
6 May 2019Talk: Can neural networks always be trained? On the boundaries of deep learning
Biomedical Imaging Seminar
(link, slides)
École Polytechnique Fédérale de Lausanne
2 May 2019Talk: Spectral analysis and new resolvent based methods
Applied Partial Differential Equations Seminar
(link, slides)
University of Washington
1 May 2019Talk: Can neural networks always be trained? On the boundaries of deep learning
Cambridge Analysts' Knowledge Exchange
(link, slides)
University of Cambridge
24 Apr 2019Talk: The Unified Transform: A New Tool for Scattering Problems
British Applied Mathematics Colloquium 2019
(link, slides)
University of Bath
10 Apr 2019Talk: The Unified Transform: A New Tool for Scattering Problems
Cambridge Analysts' Knowledge Exchange
(link, slides)
University of Cambridge
12 Feb 2019Talk: Using the Unified Transform (Fokas method) for acoustic scattering problems
Waves Group Seminar
(link, slides)
University of Cambridge
19 Nov 2018Talk: The Computational Spectral Problem and a New Classification Theory: Novel Algorithms, Impossibility Results and Computer Assisted Proofs
Applied and Computational Mathematics Seminar
(link, slides)
UC Irvine
16 Nov 2018Talk: The Computational Spectral Problem and a New Classification Theory: Novel Algorithms, Impossibility Results and Computer Assisted Proofs
Analysis and Applied Math Seminar
(link, slides)
UC Berkeley
12 Nov 2018Talk: The Computational Spectral Problem and a New Classification Theory; Novel Algorithms, Impossibility Results and Computer Assisted Proofs
Scientific Computing and Numerics (SCAN) Seminar
(link, slides)
Cornell University
24 Oct 2018Talk: The Computational Spectral Problem and a New Classification Theory: Novel Algorithms, Impossibility Results and Computer Assisted Proofs
Cambridge Analysts' Knowledge Exchange
(link, slides)
University of Cambridge
2-7 Sep 2018Talk: On the solvability complexity index hierarchy, the computational spectral problem and computer assisted proofs
Measuring the Complexity of Computational Content: From Combinatorial Problems to Analysis
(link, slides)
Dagstuhl, Germany
30 May 2018Talk: Infinite dimensional spectral computations and linear algebra: Extending the QR algorithm to infinite dimensions
Cambridge Analysts' Knowledge Exchange
(link, slides)
University of Cambridge
3 May 2017Talk: A new class of algorithms for computing spectra with error control
SIAM-IMA Cambridge Student Chapter
(link, slides)
University of Cambridge
23 Nov 2016Talk: Scaling laws of passive-scalar diffusion in the interstellar medium and links to pseudo-differential equations and levy flights
Cambridge Analysts' Knowledge Exchange
(link)
University of Cambridge
Aug 2015Talk: A Study of Passive Tracers in the Turbulent Interstellar Medium
Caltech SURF scholar program
Caltech
Sep 2014Talk: A numerical model for past ocean circulation and mixing
CSRIM Programme
University of Cambridge
Sep 2014Talk: A numerical model for past ocean circulation and mixing
Investigating Past Ocean Dynamics
University of Bern


Poster Presentations

23-24 October 2019How to compute spectra with error control
Simons Wave Localization Collaboration Workshop: Spectral Computations in Quantum Mechanics and Applications to Material Structure
(poster)
Maxwell Centre, University of Cambridge
1-4 July 2019On the existence of stable and accurate neural networks for image reconstruction
Signal Processing with Adaptive Sparse Structured Representations (SPARS) workshop
(poster)
INP-ENSEEIHT (Toulouse)
13 June 2019Stable and accurate neural networks for image reconstruction
Geometric and Topological Approaches to Data Analysis Conference
(poster)
Cantab Capital Institute for the Mathematics of Information
29-31 May 2019Stable and accurate neural networks for image reconstruction
Mathematics of Data Conference
(poster)
Alan Turing Institute (London)