I am a postdoc working with the singularity theory and algebraic geometry group at Basque Center for Applied Mathematics BCAM in Bilbao.
I finished a BS degree at The University of Iceland (HÍ) in 2008 and an MS degree at Eötvös Loránd Tudományegyetem (ELTE) in 2010. I finished my PhD at CEU under the supervision of András Némethi in December 2015. I also worked on normal surface singularities as part of the low dimensional topology team at the Alfréd Rényi Institute of Mathematics. until February 2016.
The geometric genus and the Seiberg-Witten invariant of Newton nondegenerate surface singularities.
Slides presented during the defense.
The geometric genus of hypersurface singularities. Joint with András Némethi. J. Eur. Math. Soc. (JEMS) 18, No. 4, 825-851 (2016).
The Milnor fiber of the singularity f(x,y) + zg(x,y) = 0. Rev Mat Complut (2016) 29: 225. doi:10.1007/s13163-015-0179-5.
The geometric genus of hypersurfaces, presented on the 13th International Workshop on Real and Complex Singularities Celebrating the 60th birthday of María del Carmen Romero Fuster July 27th - August 1st 2014.
A program for calculating invariants related to lattice cohomology.
A collection of functions related to numerical invariants of surface singularities written in PARI/GP. Includes an implementation of Oka's algorithm. Be warned that the function that calculates the Turaev torsion is flaky. I'll have to redo that whole thing, but until then, don't take it as absolute truth. In particular, the Seiberg-Witten invariant may be incorrect.
A collection of small projects.
Here are some notes on various issues. I'm mostly collecting them here for myself, but maybe they are of help to others.