Homepage of Maciej Borodzik

Last updated May 14th, 2013.

Semigroups, d-invariants and deformations of cuspidal singular points of plane curves preprint, joint with Ch. Livingston.
The average signature of graph links preprint, joint with J. Sosnowska.
Heegaard Floer homology and rational cuspidal curves preprint, joint with Ch. Livingstion.
A note on a topological approach to the $\mu$-constant problem in dimension 2 preprint, joint with S. Friedl, to appear in Revista Mathematica Complutense.
Codimension 2 embeddings, algebraic surgery and Seifert forms joint with A. Nemethi and A. Ranicki. This paper is often referred to as BNR2.
On the semicontinuity of the mod 2 spectrum of hypersurface singularities joint with A. Nemethi and A. Ranicki. To appear in Journal of Algebraic Geometry
Morse theory for manifolds with boundary joint with A. Nemethi and A. Ranicki. It is first paper in a longer series.
The unknotting number and classical invariants II joint with S. Friedl.
The unknotting number and classical invariants I joint with S. Friedl.
Heegaard Floer homologies for (+1) surgeries on torus knots joint with A. Nemethi, to appear in Acta Mathematica Hungarica. Available under online first Acta Math. Hun. web page
Deformations of singularities of plane curves. Topological approach preprint. To appear in Osaka J. Math.
Puiseux coefficients and parametric deformation of plane curve singularities preprint. Completely rewritten in January 2012.
Spectrum of plane curves via knot theory joint with A. Nemethi. J. London Math. Soc. 86 (2012), no. 1, 87--110 Arxiv version is here.
Morse theory of plane algebraic curves published in J. of Topology 5(2012), 341--365. Early version on arxiv
Hodge-type structures as link invariants joint with A. Nemethi, published in Ann. Inst. Fourier 63 (2013), 269--301.
Puiseux Expansion of a Cuspidal Singularity published in Bull. Polish Acad. Sci. Math. 60 (2012), 21-25. Earlier version on arxiv.
A rho-invariant of iterated torus knots published in Proc. Sympos. Pure Math. 82 (2011), 29--38. The arxiv version is recommended since two small mistakes are corrected.
Number of singular points of an annulus in C^2 joint with H. Zoladek. Published in Annales de l'institut Fourier, 61 no. 4 (2011), p. 1539-1555. Arxiv version is here.
On the signatures of torus knots joint with K. Oleszkiewicz. Published in Bull. Pol. Acad. Sci. Math. 58 (2010), no. 2, 167--177. Arxiv version is also available.
Complex algebraic plane curves via the Poincare--Hopf formula. II. Annuli. joint with H. Zoladek. Published in Israeli J. Math. 175(2010), 301--347. The version on arxiv differs from the published one: it contains full computational details. We do not recommend reading it.
Small amplitude limit cycles for the polynomial Lienard system joint with H. Zoladek. Published in J. Diff. Eq. 245(2008), 2522--2533.
Complex algebraic curves via Poincare--Hopf formula. III. Codimension bounds. joint with H. Żołądek (preprint) . Journal of Mathematics of Kyoto University, 48.No 2 (2008).
Geometry of Puiseux expansions joint with H. Zoladek. Published in Ann. Polon. Math. 93(2008), no.3, 263--280.
Complex algebraic curves via Poincare--Hopf formula. I. Parametric lines. joint with H. Żołądek published in Pacific Journal of Mathematics 229(2007), no. 2, 307--338.
The Pascal theorem and some its generalisations joint with H. Żołądek. Published in Topol. Meth. Nonlinear Anal. 19(2002), no.1, 77--90
Number of singular points of genus g curve with one place at infinity. this version will not be submitted. It is the reference for attacking the full Lin's conjecture by computational methods.

Office hours/Konsultacje:	n/a
Room/pokój	5460 Na 4. piętrze koło dużej sali wykładowej
Phone (telefon)	225544546
E-Mail	mcboro (at) mimuw (dot) edu (dot) pl
Kadu Czyli gg. Ale OpenSource.	8994972 Odpowiadam na pytania matematyczne (konsultacje przez internet).
Fields of interest	Singularity theory Low dimensional topology.