#
Baldur Sigurðsson

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Status

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Current

I am a postdoc working with the singularity theory and algebraic
geometry group at Basque Center for Applied Mathematics
BCAM
in Bilbao.

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Former

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.

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CV

Curriculum vitae.

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Written content

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Preprints

The boundary of the Milnor fiber of the singularity f(x,y) + zg(x,y) = 0.

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Articles

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.

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Presentations

The geometric genus of hypersurfaces, presented on the
13th International Workshop on Real and Complex Singularities
Celebrating the 60th birthday of
MarĂa del Carmen Romero Fuster July 27th - August 1st 2014.

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Thesis

The geometric genus and the Seiberg-Witten invariant of Newton
nondegenerate surface singularities.

Slides presented during the defense.

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Code

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.

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Notes

Here are some notes on various issues. I'm mostly
collecting them here for myself, but maybe they are of help to others.

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Contact