Current work

I am a birational geometer. I am interested in Fano varieties, minimal model program techniques, birational rigidity, toric varieties and log canonical thresolds.

At the moment I am studying the relation in between the log canonical thresholds of two fibrations of Del Pezzos with isomorphic generic fibre and their birational rigidity. This implies finding obstructions for effective log pairs to be log canonical.

On my second year, after changing projects and supervisors, I learned about birational geometry in low dimensions and log canonical thresholds on fano varieties. As a result I computed the log canonical thresholds of Del Pezzo surfaces algebraically (i.e. valid over characteristic p) in this pre-print. Over complex Del Pezzo this had previously been done by Cheltsov. This is somehow related to the computation of F-pure thresholds and K-stability.

In my first year I had to take some courses. The rest of the time I learnt basic Algebraic Geometry as well as Toric Varieties and their applications to String Theory. You can have a look at my first year report, which is a survey on that material.



Conferences/Seminars organised

In June 2013 I will host the LMS Lecture Series. These will be given by Prof Fedor Bogomolov with Gavin Brown, Ivan Cheltsov and Timothy Logvninenko as support lecturers.

Together with my office mates I ran in 2010-2011 the Geometry Club

In February 2009 I organised the SMSTC Seminar Series 2009/2010.



Talks delivered

04 October 2012 The mathematical hitchhiker guide to travel funding. PG Colloquium Edinburgh, UK. (slides)
16 February 2012 Degenerations of del Pezzo surfaces after Hacking and Prokhorov. Geometry Seminar (EDGE). Edinburgh, UK.
20 January 2012 The Tale of the Minimal Model Program. 6th PG Edinburgh-Heriot-Watt Joint Colloquium. Edinburgh, UK.
15 December 2011 Log canonical thresholds on Del Pezzo surfaces: Computation and applications. Iskovskikh Seminar. Steklov Institute, Moscow, Russia.
14 April 2011 Log canonical thresholds of del Pezzo Surfaces in arbitrary characteristic. Warwick, UK.
20 January 2011 Travel funding for a young mathematician. PG Colloquium. Edinburgh, UK. (slides)
15 April 2010 Chords of Alexander Grothendieck's Mathematics. PG Colloquium. Edinburgh, UK. (slides)
19 February 2010 What is a Toric Variety?. Geometry Club. Edinburgh, UK. (Abstract)
2 February 2010 Stiefel-Whitney classes and classification of Real Projective Spaces. SMSTC Seminar Series 2010. Scotland, UK. (slides)
March 2009 Yau's Solution to the Calabi Conjecture. Part III Seminar Series (Lent 2009). Cambridge, UK.
December 2008 Parallelizable manifolds. Part III Seminar Series (Michaelmas 2008). Cambridge, UK.