Talks
This page contains typed notes and/or slides for some of the talks I have given over the last few years, along with a few videos. A pdf file containing a list of all of the talks I have given across my career can be downloaded here
and an abbreviated list containing the only most important ones may be found in my CV. To reach the videos, either scroll to the bottom of this page or use the link below.
Jump to: Notes and Slides  Videos
Notes and Slides
Typed notes and/or slides for selected talks, in reverse chronological order.
Anticanonical pairs with involution
Poster based upon ongoing joint work with V. Alexeev, presented at the 3rd British Algebraic Geometry Meeting, held in Cambridge in September 2014.
Degenerations of plane sextics
Short research talk based upon ongoing joint work with V. Alexeev (a preliminary version of which is available in the publications section of this website), given at the 2014 CMS Winter Meeting, held in Hamilton in December 2014.
The arithmetic/thin dichotomy for CalabiYau threefolds and families of K3 surfaces
Short research talk based upon the paper Families of lattice polarized K3 surfaces with monodromy (available in the publications section of this website) given at the 2014 AMS Southeastern Spring Sectional Meeting, held at the University of Tennessee, Knoxville, in March 2014.
Families of lattice polarized K3 surfaces with monodromy
Short research talk based upon the paper with the same title (available in the publications section of this website) given at the 2013 CMS Winter Meeting, held in Ottawa in December 2013.
Variations of Hodge structure and the period map
Introductory talk for graduate students given at the Concentrated Graduate Course preceeding the Workshop on Hodge Theory in String Theory, held at the Fields Institute, Toronto in November 2013. These notes eventually formed the basis for the paper An introduction to Hodge structures, available in the publications section of this website. This talk is also available as a video, linked in the videos section below.

Introductory talk for graduate students given at the Concentrated Graduate Course preceeding the Workshop on Modular Forms around String Theory, held at the Fields Institute, Toronto in September 2013. These notes eventually formed the basis for the paper The geometry and moduli of K3 surfaces, available in the publications section of this website. This talk is also available as a video, linked in the videos section below.
The 14th case VHS and K3 fibrations III: elliptic surfaces
Short research talk based upon the paper The 14th Case VHS via K3 Fibrations (available in the publications section of this website) given at the 2012 CMS Winter Meeting, held in Montréal in December 2012.
Degenerations of K3 surfaces of degree two
Research talk based upon the paper Degenerations of K3 surfaces of degree two (available in the publications section of this website) given at the Workshop on Hodge Theory and String Duality, held at the Banff International Research Station in December 2011, and at the University of Georgia Algebraic Geometry Seminar in February 2012.
Degenerations of K3 surfaces of degree two
A slightly shorter version of the research talk above given at the Workshop on Arithmetic and Geometry of K3 Surfaces and CalabiYau Threefolds held at the Fields Institute, Toronto, in August 2011.
Models for threefolds fibred by K3 surfaces of degree two
Short research talk based upon my D.Phil. thesis given at the Young Researchers in Mathematics conference held at the University of Warwick in April 2011 and at the Géométrie Algébrique en Liberté XIX conference held at the Freie Universität Berlin, in July 2011.
Models for threefolds fibred by K3 surfaces of degree two
Research talk based upon my D.Phil. thesis given at the CALF seminar held at Imperial College, London, in April 2011, at the Liverpool Arithmetic and Algebraic Geometry Seminar in April 2011, and at the COW seminar held at the University of Warwick in May 2011.
Models for threefolds fibred by K3 surfaces of degree two
Talk based upon the one below, given to the Oxford Junior Geometry and Topology Group in October 2010
Models for ample <2>polarised K3fibrations
Research talk based upon some of the material in my D.Phil. thesis given at the CALF/EMS Geometry Day held at the University of Glasgow in April 2010.
Degenerations of <2>polarised K3 surfaces
Research talk based upon the material in an earlier draft of the paper Degenerations of K3 Surfaces of Degree Two (available in the publications section of this website), given to the Oxford Junior Geometry and Topology group in October 2009.
Hodge theory, period mappings and the moduli of K3's
Short introductory talk given at the CALF/TCC Postgraduate Geometry Day held at Imperial College, London in April 2009.
Degenerations of surfaces with Kodaira number zero
Introductory talk given at the CALF seminar held at the University of Oxford in March 2009.
The construction of ample <2>polarised K3fibrations
Research talk based upon the material in my endoffirstyear report at the University of Oxford (most of which now forms the first chapter of my D.Phil. thesis), given to the Oxford Junior Geometry and Topology group in November 2008. The short talk that I gave at the Young Researchers in Mathematics conference held at the University of Cambridge in April 2009 was also based upon this talk.
An introduction to the birational classification of surfaces
Introductory talk given to the Oxford Junior Geometry and Topology group in June 2008.
Videos
A few of my talks have been filmed and made available on the internet. I will post links here to any that I know of, in reverse chronological order.
Mirror symmetry for fibrations and degenerations
Research talk based upon the preprint Mirror symmetry, Tyurin degenerations and fibrations on CalabiYau manifolds (available in the publications section of this website), given at the Winter 2016 Workshop on Algebraic Varieties, held at the Fields Institute, Toronto in March 2016.
Elliptic surfaces and K3fibred threefolds
Research talk based upon ongoing joint work with C. Doran, A. Harder and A. Novoseltsev, given at the Weekend Workshop on Algebraic Varieties, held at the Fields Institute, Toronto in November 2015.
Towards a compactification of the moduli space of K3 surfaces of degree two
Research talk based upon ongoing joint work with V. Alexeev (a preliminary version of which is available in the publications section of this website), given to the Moduli Spaces and Enumerative Geometry conference, held at IMPA, Rio de Janeiro in April 2015.
Towards a compactification of the moduli space of K3 surfaces of degree two
Research talk on the same topic as the one above, given at the Weekend Workshop on Algebraic Varieties, held at the Fields Institute, Toronto in March 2015.
Moduli of CalabiYau threefolds fibred by lattice polarized K3 surfaces
Research talk based upon the preprint CalabiYau threefolds fibred by mirror quartic K3 surfaces (available in the publications section of this website) given at the Weekend Workshop on Algebraic Varieties, held at the Fields Institute, Toronto in November 2014.
Variations of Hodge structure and the period map
Introductory talk for graduate students given at the Concentrated Graduate Course preceeding the Workshop on Hodge Theory in String Theory, held at the Fields Institute, Toronto in November 2013. Typed notes for this talk are also available in the Notes and Slides section above.

Introductory talk for graduate students given at the Concentrated Graduate Course preceeding the Workshop on Modular Forms around String Theory, held at the Fields Institute, Toronto in September 2013. Typed notes for this talk are also available in the Notes and Slides section above.
The mathematics of knots (or: what do pure mathematicians do all day?)
Public lecture given at the LogiCON science convention, held at the University of Alberta in May 2013.
This page is maintained by Alan Thompson and was last updated on 14/09/17. Please email comments and corrections to amt69 (at) cam.ac.uk.