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Postal Address

Howard House,
Department of Mathematics,
Queen's Avenue,
Bristol,
BS8 1SN,
UK.

Email: daniel.loughran@bris.ac.uk

About Me

Greetings friends. My name is Daniel Loughran and I am currently a postdoctoral reseacher in mathematics at the University of Bristol. Together with Tim Dokchitser, I organise the Heilbronn number theory seminar.

My research interests include arithmetic geometry and analytic number theory. In particular, my work so far has revolved around the problem of counting the number of rational points of bounded height on algebraic varieties. I also have an interest in equivariant geometry.

If you want to know more about me, I can provide a CV and research statement on request.

Publications

The following is a list of my publications. My thesis is essentially a collection of my first three papers, however it also contains a general introduction to del Pezzo surfaces and Manin's conjecture. It was awarded a postgraduate commendation for excellence in a doctoral thesis by the faculty of science of the University of Bristol.

  1. Equivariant compactifications of two-dimensional algebraic groups (with Ulrich Derenthal) submitted, [arXiv:1212.3518].
  2. Rational points of bounded height and the Weil restriction, submitted, [arXiv:1210.1792].
  3. Manin's conjecture for a singular quartic del Pezzo surface, J. London Math. Soc. 86(2) (2012), 558-584, [arXiv:1109.6253].
  4. Manin's conjecture for a singular sextic del Pezzo surface, Journal de Théorie des Nombres de Bordeaux, 22(3) (2010), 675-701, [arXiv:1009.2364].
  5. Singular del Pezzo surfaces that are equivariant compactifications (with Ulrich Derenthal), Hausdorff Trimester on Diophantine equations in: Zapiski Nauchnykh Seminarov (POMI) 377 (2010), 26-43, [arXiv:0910.2717].
  6. Manin's conjecture for del Pezzo surfaces, (Ph.D. Thesis) 2011, pdf.

Research talks

The following is a list of invited research talks that I have given. It also includes upcoming talks.
  1. 28/02/2013 - Pure mathematics seminar, Exeter University.
  2. 11/02/2013 - Number theory seminar, Warwick University.
  3. 06/12/2012 - Séminaire d'arithmétique, Université Lille 1, Lille.
  4. 03/12/2012 - Pure mathematics seminar, Royal Holloway, London.
  5. 27/11/2012 - Number theory seminar, Sheffield University.
  6. 22/10/2012 - Pure maths research seminar, UEA, Norwich.
  7. 18/10/2012 - Number theory seminar, Oxford University.
  8. 21/05/2012 - Analytic methods for diophantine equations, Göttingen.
  9. 21/05/2012 - Arithmétique en plat pays, Ghent.
  10. 27/04/2012 - Séminaire de théorie des nombres de Caen, Caen.
  11. 09/03/2012 - Séminaire variétés rationnelles, Ecole normale supérieure, Paris.
  12. 22/02/2012 - Séminaire de théorie des nombres, Institut Fourier, Grenoble.
  13. 02/02/2012 - Séminaire de géométrie algébrique, Université de Rennes 1, Rennes.
  14. 05/12/2011 - Rencontres de théorie analytique et élémentaire des nombres, Institut Henri Poincaré, Paris.
  15. 14/11/2011 - Séminaire de théorie des nombres, Institut de Mathématiques de Jussieu, Paris.