I am currenly working as a postdoc at the math department of UNAM in Cuernavaca, Mexico.
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. From then, and until November 2018, I was a postdoc working with the singularity theory and algebraic geometry group at Basque Center for Applied Mathematics BCAM in Bilbao.
On ideal filtrations for Newton nondegenerate surface singularities,
Joint with Pablo Portilla Cuadrado,
Mixed tête-à-tête twists as monodromies associated
with holomorphic function germs,
accepted for publication in Geometriae Dedicata.
The boundary of the Milnor fiber of the singularity 𝑓(𝑥,𝑦)+𝑧𝑔(𝑥,𝑦)=0.
European Journal of Mathematics (2020) doi:10.1007/s40879-019-00393-w
Joint with András Némethi,
The geometric genus of hypersurface singularities,
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.
The geometric genus and the Seiberg-Witten invariant of Newton
nondegenerate surface singularities.
Slides presented during the defense.
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
A collection of small projects.
An implementation of plumbing graphs in
This is work in progress, but it will hopefully get accepted into the
sage project soon. Some functionality is still lacking, and there are
probably some errors in there, since it hasn't been tested much.
This is where you come in!
Here are some notes on various issues. I'm mostly
collecting them here for myself, but maybe they are of help to others.