Sarah Davis




Tetrahedron

Contact details

E-mail: s.e.davis[at]warwick.ac.uk

Mathematics Institute,
Zeeman Building,
Warwick University,
Coventry,
CV4 7AL
UK

My research

I am a fifth year postgraduate student at the Mathematics Institue of the University of Warwick. My supervisor is Professor Miles Reid.
My main research area is Algebraic Geometry. I am currently working on the existence of crepant resolutions in dimension greater than three, G-Hilbert schemes and the McKay Correspondence. I submitted my thesis Crepant resolutions and A-Hilbert Schemes in four dimensions in April 2011.

Conferences and seminars

Gavin Brown, Alexander Kasprzyk, Dan Ryder and I organised the Graduate workshop on K3 surfaces and multigraded rings, 6-8 April 2009, University of Warwick.

I was the principal organiser of the Calf (junior COW) between June 2007 and December 2009.

I organised graduate reading seminars at Warwick between September 2007 and December 2009, and in the academic year 2007-2008 I coorganised the Warwick algebraic geometry seminar.

Selected recent talks

Crepant resolutions and A-Hilbert schemes in dimension four, University of Warwick, 12th August, 2011.
Four dimensional crepant resolutions, Maths 2010, University of Edinburgh, 6th April 2010.
G-Hilb and four dimensional crepant resolutions, Nagoya University, Japan, 1st September 2009.
Crepant resolutions in dimension four, Nagoya University, Japan, 18th August 2009.
3- and 4-dimensional crepant resolutions, Beyond Part III, University of Cambridge, 16th April 2009.
SL_4 quotients and flops, Graduate workshop: K3 surfaces and multigraded rings, University of Warwick, 7th April 2009.
Orbifold Riemann-Roch and Curve Singularities, Calf, University of Kent, 6th March 2008.

Teaching

I have been involved in undergraduate teaching at Warwick since September 2005. I have supervised groups of 4 or 5 first and second year, discussing and marking material from the core courses. I taught support classes for courses for first to fourth years, including Algebraic Geometry, Analysis I, Analysis II, Consolidation, Experimental Maths, Geometry, Galois Theory, Groups and Representations, and Rings and Modules, and have given several lectures to cover lecturer absence.