Dirk Siersma

Address

cTWO: Commissie Toekomst WiskundeOnderwijs

Preprints

Publications

Thesis Jiang

Address

Mailing address

Mathematical Institute

Universiteit Utrecht
P.O.Box 80.010
3508 TA UTRECHT
The Netherlands

E-mail:

D.Siersma "at" uu.nl

Preprints on ArXivMath

Preprints (since 1995)

On polynomial and meromorphic functions

Dirk Siersma, Mihai Tibar,

Singularites at Infinity and their Vanishing Cycles,
Preprint European Singularity Project, No 67; 1995.
Published in: Duke Mathematical Journal Vol 80, No. 3; December 1995; p 771-783.

Dirk Siersma, Job Smeltink,

Classification of singularities at infinity of polynomials of degree 4 in two variabales,
Preprint 945, Department of Mathematics, University of Utrecht (February, 1996).
Published in: Georgian Mathematical Journal Vol 7 (2000), No 1; p. 179-190.

Dirk Siersma, Mihai Tibar,

Topology of polynomial functions and monodromy dynamics,
C. R. Acad. SCi. Paris, t. 327, Serie I,p. 655-660, 1998

Dirk Siersma, Mihai Tibar,

Singularities at infinity and their vanishing cycles, II. Monodromy.,
Preprint 1088, Department of Mathematics, University of Utrecht (January, 1999)
Published in: Publications of the RIMS, Kyoto University, Vol 36, No 6 (2000), 659-679.

Dirk Siersma, Mihai Tibar,

On the vanishing cycles and  of a meromorphic function on the complement of its poles.,
Preprint, Department of Mathematics, University of Utrecht (May, 1999)
Published in: Contemporary Mathematics, Volume 354 (2004), 277-289

Dirk Siersma, Mihai Tibar,
           Deformations of polynomials, boundary singularities and monodromy.
Preprint, Department of Mathematics, University of Utrecht (July 2002)
Published in: Moscow Mathematical Journal, 3 (2) (2003), 661-697.

Dirk Siersma, Mihai Tibar,

Singularity Exchange at Infinity.
Preprint arXiv math.AG/0401396
Preprint 1295, Department of Mathematics, University of Utrecht (Febrtuary 2004)

Dirk Siersma, Mihai Tibar

Curvature and Gauss-Bonnet defect of global affine hypersurfaces.
Preprint arXiv math.DG/0407056

Sabir M. Gusein-Zade, Dirk Siersma
           Deformations of Polynomials and their zeta functions.
Preprint arXiv. Math AG/0503xxx
/home/staff/siers101/www/poldef_r.pdf


Dirk Siersma, Mihai Tibar,
Betti Bounds of Polynomials
Preprint arXiv math.AG/
Published in: Moscow Mathematical Journal, 11 (3) (2011), 599-615.

Dirk Siersma, Mihai Tibar,
           Vanishing Cycles of Polynomials

Lecture Notes for CIMPA Research School: Singularities: algebra, geometry and applications.
August 2011, Kiev, Ukraine.

On lines on hypersurface

Jiang Guangfeng, Dirk Siersma,

Local embeddings of lines in singular surfaces ,
Preprint 1050, Department of Mathematics, University of Utrecht (February, 1998).
Published in: Annales de l'Institut Fourier, 49 , 4 (1999), 1129-1147.

 
Guangfeng Jiang, Mutsuo Oka, Duc Tai Pho, Dirk Siersma,

 Lines on Brieskorn-Pham Surfaces,
Tokyo Metropolitan University Mathematics Preprint Series; 1999 No. 3 (January 1999)
Published in: Kodai Mathematical Journal, Vol. 23, No2, pp. 214-223, June 2000.

On conflict sets

Dirk Siersma,

Voronoi Diagrams and Morse Theory of the Distance Function
Preprint 967, Department of Mathematics, University of Utrecht (June, 1996).
Published in: O.E. Barndorff-Nielsen and E.B.V. Jensen (eds.), Geometry in Present Day Science, World Scientific, Singapore, etc (1999), 187-208.

 

Dirk Siersma,

Properties of Conflict Sets in the Plane,
Preprint 1089, Department of Mathematics University Utrecht (February, 1999).
Published in: Geometry and Topology of Caustics - Caustics 1998; Banach Center Publications Volume 50 (1999); p. 267 - 276

Jorge Sotomayor, Dirk Siersma, Ronaldo Garcia,

Curvatures of Conflict Surfaces in Euclidean 3-space,
Preprint 1090, Department of Mathematics University Utrecht (February, 1999).

Published in: Geometry and Topology of Caustics - Caustics 1998;

Banach Center Publications Volume 50 (1999); p. 277-285.

 

R. Lindenbergh, W. van der Kallen, D. Siersma,
           Configuration spaces and limits of Voronoi diagrams.
Manuscript september 2002.
Published in: Geometry and Topology of Caustics - Caustics 2002; Banach Center Publication Volume 62 (2003); p. 183-195.



M. van Manen, D. Siersma,
           The nine Morse generic tetrahedra
Manuscript october 2004.  Math.DG/0410251, published in SIAM

         M. van Manen, D. Siersma,
                     Power Diagrams and their Applications
         Manuscript august 2005.  Math.MG/0508037;
         will be published in separate papers. Updated version (2014)

Power Diagrams and Morse Theory


         M. van Manen, D. Siersma,
                     Medial Axis and a Moment Map
        Published in Demonstratio Mathematica.

 

L.Birbrair, D. Siersma,
Metric Properties of Conflict Sets, Manuscript april 2007; Math.MG0704.3992
        Published in Houston Mathematical Journal

On round functions

George Khimshiashvili, Dirk Siersma,

On minimal round functions,
Preprint 1118, Department of Mathematics, University of Utrecht (September, 1999).
Summary published in : Bulletin of the Georgian Academy of Science, 164, nr 4 (2000); p 3-7\
Part published as: Remarks on minimal round functions in: Geometry and Topology of Caustics - Caustics 2002; Banach Center Publications Volume 62 (2003); p. 159-172.

On non isolated singularities

Dirk Siersma,

The vanishing topology of non isolated singularities ,
Published in: New Developments in Singularity Theory
(Proceedings of the Advanced Study Institute at the Isaac Newton Institute in Cambridge(UK);
 31 July- 11 August 2000), Kluwer Academic Publishers, Dordrecht, etc (2001), p.447-472

 

On polygonal linkages

George Khimshiashvili, Dirk Siersma

Cyclic Configurations of planar multiple penduli

ICTP Preprint IC2009047 (june 2009), extended version published as:

Critical Configurations of planar Multiple Penduli

Journal of Mathematical Sciences, Volume 195, No. 2, November 2013, p 198-212

 

George Khimshiashvili, Gaiane Panina, Dirk Siersma, Alena Zhukova

Extremal Configurations of polygonal linkages. Oberwolfach Preprint OWP 2011-24 (september 2011)

Section 1-5 are published as Critical configurations of robot arms (see below)

Section 6-9 is updated as Extremal Configurations of Robot Arms in Three Dimensions (see below)

 

George Khimshiashvili, Gaiane Panina, Dirk Siersma, Alena Zhukova

Critical configurations of planar robot arms ArXiv Math, DG january 2012 ;

published in Centr. Eur. J. Math 11(3) 2013 519-529

 

George Khimshiashvili, Gaiane Panina, Dirk Siersma

Coulomb control of polygonal linkages, ArXiv Math, MG 1304.6214, April 2013

Published on line 17 March 2014 in Journal of Dynamical and Control Systems

DOI 10.1007/s10883-014-9218-7

 

Gaiane Panina, Dirk Siersma

Motion Planning and Control of Planar Polygonal Linkage, ArXiv Math, MG 14017860, January 2014

George Khimshiashvili, Dirk Siersma

Cross-Ratios of Quadrilateral Linkages,

ArXiv Math, MG1308.4007, August 2013, update March 2014

 

Dirk Siersma

Extremal Configurations of Robot Arms in Three Dimensions.

ArXiv Math, MG1403.5913, March 2014

updated version of sections 6-9 from Oberwolfach Preprint 2011-24

Downloads of (selected) publications

1974: Dirk Siersma

Classification and Deformation of Singularities

Dissertation, University of Amsterdam, July 3, 1974


1977: Dirk Siersma

Periodicities in Arnold's list of singularities

in: Real and Complex Singularities, Oslo 1976

P. Holm (editor)


1983: Dirk Siersma

Isolated Line Singularities

Proceedings of Symposia in Pure Mathematics Volume 4 (1983) part 2 485-496

1991: Dirk Siersma

Vanishing Cycles and Special Fibres

Singularity Theory and its Applications, Warwick 1989, Part I

Springer Lecture Notes in Mathematics 1462 (1991) 292-301

 

1995: Dirk Siersma

A bouquet theorem for the Milnor fibre

J. Algebraic Geometry 4 (1995) 51-66


2012: Dirk Siersma

Poincar'e and Analysis Situs, the beginning of algebraic topology

Nieuw Archief voor Wiskunde 5/13 (2012) 196-200

 

Thesis Jiang

1998: Jiang Guangfeng

Functions with non-isolated singularities on singular spaces.,

Dissertation, University of Utrecht (February 16, 1998).

 

Personal Links:  www.wijnadvies.nl voor exclusieve wijn

Photographs

Some old files


Dirk Siersma

Last updated: march 2014