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So... born during a blizzard on a Monday in 1982...

.....I'm Andrew Wilson ----->

[May 2011] Back in the UK now, searching for new projects and anticipating exciting new challenges. Those looking to get in contact can reach me at andrew{at}ajwilson{dot}co{dot}uk and find my CV here.

[Jan 2011] Currently, I am visiting the University of Sydney working on a del Pezzo package for Magma with Martin Bright, Gavin Brown and Steve Donnelly. Hopefully, this will eventually dovetail with some code of Gavin and Martin's that calculates Riemman-Roch spaces. This will allow us to calculate the 'worst' (G-invariant) divisors in the pluri-anti-canonical linear systems --- i.e. a calculator for lct_m(X,G), where G is a finite group acting bi-regularly on a (possibly du Val) del Pezzo X.

[Sep 2010] Recently, I have completed my PhD (abstract) under Dr Ivan Cheltsov at the University of Edinburgh. In my thesis I calculate global log canonical thresholds on smooth del Pezzo G-surfaces (where G is a finite group acting bi-regularly the surface such that the invariant Picard rank is one), finding that lct=lct_m for m=1,2 or 4; that is, that the global log canonical threshold is realised by a G-invariant divisor in the first, second or fourth anti-canonical linear system. I use these to classify the G-surfaces into G-exceptional and G-weakly-exceptional. There are applications of these results to the existence of Kähler-Einstein metrics, convergence of the Kähler-Ricci itteration and to certain conjugacy questions in higher rank Cremona groups.

Mathematics

Below are some of my mathematical writings, with varying levels of accuracy...any mistakes / comments can be emailed to me at andrew {at} ajwilson {dot} co {dot} uk.

• [Apr 2011] Del Pezzo Surfaces and Group Actions on Algebraics Varieties in Magma, Report on my time at Magma
• [Jan 2011] Del Pezzo Surfaces with Many Symmetries, joint pre-print with Ivan Cheltsov
• [Sep 2010] Smooth Exceptional del Pezzo Surfaces, PhD thesis (abstract)
• [Dec 2006] The Lüroth Problem, First year report for PhD
• [Sep 2006] Birational maps and blowing things up, Talk for the Geometry Club, University of Edinburgh
• [Feb 2005] A Glance Through the Gate: Clifford's Geometrical Algebra, Honours Dissertation for MSci
• [Sep 2004] Creating aperiodic tilings of the plane with exotic rotational symmetry, Report for Nuffield Foundation Undergraduate Research Bursary

Miscellaneous

• [Mar 2010] Finite Subgroups of Cremona Groups, Poster and mug design (with Ivan Cheltsov)
• [Apr 2010] Insights on Ethical Consumption, Knowledge Transfer Poster design (with Margarita Kominou)

• [2010 - 2011] PGCert in University Teaching (In Progress), University of Edinburgh
• [2006 - 2010] PhD supervised by Ivan Cheltsov "Smooth Exceptional del Pezzo Surfaces", University of Edinburgh
• [2002 - 2005] MSci in Mathematics, University of Glasgow (2.1 degree classification)
• [1999 - 2002] Electronic & Elec. Engineering, University of Glasgow
• [1997 - 1999] Highers: McLaren High School, Callander (ABAAA : Chemistry, English, Mathematics, Music, Physics)

Received Awards

• [2006 - 2009] EPSRC scholarship for PhD in Algebraic Geometry
• [Summer 2004] Nuffield Foundation Undergraduate Research Bursary in Science (URB/01796/G) 'Creating aperiodic tilings of the plane with exotic rotational symmetry' with Prof Peter Kropholler
• [2004] Lamont prize for 'an excellent performance' in the Junior Honors seminars

Conferences / Workshops

• [6^th - 10^th Dec 2010] Birational Geometry (Shokurov's 60^th), ICMS, Edinburgh, Scotland
• [21^st - 22^nd Jun 2010] Quotient Singularities and Related Problems, University of Edinburgh, Scotland
• [14^th - 15^th May 2010] Finite Subgroups of Cremona Groups II, University of Edinburgh
• [29^th - 30^th Mar 2010] Finite Subgroups of Cremona Groups I, University of Edinburgh, Scotland
• [30^th Mar - 8^th Apr 2009] Recent advances in the higher dimensional minimal model program, POSTECH, Pohang, South Korea
• [11^th -14^th Nov 2008] Analytic and algebraic aspects of the MMP and higher dimensional classification, Institut Fourier, Grenoble
• [12^th - 18^th Oct 2008] Higher Dimensional Algebraic Geometry, Workshop organized by C. Hacon and S. Kovàcs, Mathematisches Forschungsinstitut Oberwolfach (Photos)
• [13^th - 18^th Mar 2008] Explicit methods in three-folds, Weekend workshop, Warwick University
• [14^th - 25^th Jan 2008] del Pezzo surfaces and related problems, POSTECH, Pohang, South Korea
• [12^th - 20^th Dec 2007] Higher dimensional minimal model program, Conference, Warwick University
• [1^st - 6^th Nov 2007] Introduction to the recent breakthroughs in the higher dimensional minimal model program, Weekend workshop, Warwick University
• [18^th Jun - 6^th Jul 2007] Geometry of complex projective varieties and the minimal model program, Summer school in Mathematics, Institut Fourier, Grenoble
• [9^th - 10^th Jan 2005] Prospects in Mathematics, University of Durham

Talks

• [10^th Feb 2011] Computing invariant global log canonical thresholds in Magma, Computational Algebra Seminar, University of Sydney
• [1^st Dec 2010] Computing log canonical thresholds and applications, Geometry Club, University of Edinburgh
• [21^st Jun 2010] Alpha-invariant of Tian and exceptional quotient singularities, University of Edinburgh
• [15^th Mar 2010] Alpha-invariant of Tian and subgroups of Cremona groups, University of Edinburgh
• [1^st Apr 2009] Smooth exceptional del Pezzo surfaces, POSTECH, Pohang, South Korea
• [17^th Jan 2008] Group-invariant log canonical thresholds, POSTECH, Pohang, South Korea
• [28^th Sept 2007] Log canonical thresholds, Geometry Club, University of Edinburgh
• [30^th Sept 2006] Birational maps and blowing things up, Geometry Club, University of Edinburgh
• [23^rd Nov 2006] Be Rational! - Some rationality criterion for varieties, PG Colloquium, University of Edinburgh
• [22^nd Nov 2006] Castelnuovo's Rationality Criterion, Complex algebraic surfaces guest lecture, University of Edinburgh
• [5^th Dec 2006] The Lüroth Problem, First Year PhD Talk, University of Edinburgh

Current teaching

[Nov 2011] Looking for for an experienced tutor to help with your upcoming exams? I can help, contact me at tutor{at}ajwilson{dot}co{dot}uk.

• [Nov - Dec 2011] Undergraduate Tutor (private), Self-employed

Past teaching

• [2009 - 2010] Course Lecturer, University of Edinburgh
  • [Semester 1 2010/11] Af0: Applicable Maths 0 (foundation)
  • [Semester 1 2010/11] AM/MM1: Mathematics for 1st and 2nd year music technology students
  • [Semester 1 2009/10] Af0: Applicable Maths 0 (foundation)
• [Jun - Jul 2009 & 2010] Lothians Equal Access Programme for Schools (LEAPS) Tutor, University of Edinburgh
• [2006 - 2010] Undergraduate Tutor, University of Edinburgh
  • [Semester 1 2010/11] MSS: Mathematical Study Skills
  • [Semester 1 2010/11] Honours 2: Foundations of Calculus / Several Variable Calculus
  • [Semester 2 2009/10] Mathsbase: Drop-in Tutorial
  • [Semester 2 2009/10] Mi4: Mathematics for informatics students
  • [Semester 2 2009/10] Honours 1: Geometry & Convergence / Group Theory
  • [Semester 1 2009/10] AM3/MM3: Mathematics for 2nd year engineers
  • [Semester 1 2009/10] Mathsbase: Drop-in Tutorial
  • [Semester 1 2009/10] Mi1: Mathematics for informatics students
  • [Semester 1 2009/10] Mi3: Mathematics for informatics students
  • [Semester 1 2009/10] MSS: Mathematical Study Skills
  • [Semester 2 2008/09] Mathsbase (during exam time)
  • [Semester 2 2008/09] Honours 2: Geometry & Calculus of Variations / Linear Algebra
  • [Semester 2 2008/09] Mi2: Mathematics for 1st year informatics students
  • [Semester 2 2008/09] Mathematical Communication and Computation Skills - Maple tutor
  • [Semester 1 2008/09] Honours 2: Several variable calculus / Foundations of calculus
  • [Semester 1 2008/09] Mi1: Mathematics for 1st year informatics students
  • [Semester 1 2007/08] AM3 / MM3: Mathematics for 2nd year engineers
  • [Semester 1 2007/08] AM1 / MM1: Mathematics for 1st year engineers
  • [Semester 2 2006/07] AM2 / MM2: Mathematics for 1st year engineers
  • [Semester 1 2006/07] AM3 / MM3: Mathematics for 2nd year engineers
  • [Semester 1 2006/07] Mathsbase: Drop-in tutorial
  • [Semester 2 2005/06] Honours 1: Geometry & Convergence / Group Theory
  • [Semester 2 2005/06] Mathsbase: Drop-in tutorial
• [10^th - 14^th Apr 2007] Demonstrator, Edinburgh Science Festival
• [Jan - May 2006] Standard Grade Tutor (Private), Self-employed
• [Autumn 2004] Master-Class Tutor, Royal Institution of Great Britain
• [2002 - 2006] Open-Day Student Assistant, University of Glasgow

E: andrew {at} ajwilson {dot} co {dot} uk