Hello friends! This website is quite sparse due to my laziness to get a "proper one going". As a get-out clause, I claim that I am too busy conducting research to design a decent webpage.

My name is Daniel Loughran and I have just (September 2011) finished a PhD in Number Theory at Bristol university, being supervised by Dr. Tim Browning . I worked on Manin's Conjecture for del Pezzo surfaces, which concerns the asymptotic behaviour of rational points on varieties. I like that think that I do half algebraic geometry and half analytic number theory, with my main interest being Diophantine geometry, that is, trying to solve Diophantine problems whilst utilising the geometry of the underlying variety.

I am currently a postdoctoral reseacher in mathematics at l'Université Paris Diderot (Paris VII). This webpage will likely be abandoned and fall into disrepair, so you can find my new slightly fancier webpage at:

I have three papers:

Manin's Conjecture for a Singular Sextic Del Pezzo Surface,
Journal de Théorie des Nombres de Bordeaux, 22, 675--701 (2010).

http://arxiv.org/abs/1009.2364

This first paper is a case of Manin's conjecture for a del Pezzo surface of degree six with type A₂singularity

Singular del Pezzo surfaces that are equivariant compactifications, Proceedings of
Hausdorff Trimester on Diophantine equations in: Zapiski Nauchnykh
Seminarov (POMI) 377 , 26-43 (2010) (with Ulrich Derenthal).

http://arxiv.org/abs/0910.2717

This second paper is joint work with Ulrich Derenthal, in which we classify which del Pezzo surfaces are equivariant compactifications of the additive group.

My third recently finished paper is on Manin's conjecture for a degree four del Pezzo surface with type 2A₁singularity and 8 lines. I proved Manin's conjecture for this surface by utilising its conic bundle structure. You can find a preprint of this paper here: http://arxiv.org/abs/1109.6253

Here is also a copy of my PhD thesis:

http://www.maths.bris.ac.uk/~madtl/LoughranThesis.pdf

Here is a picture of me to distract you.
Me participating in one of my favourite activities. Being grym in the woods at night time.