Dirk Siersma

Address

Photographs

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

          Published in: Bull. Sci. Math. 130 (2006), no. 2, 110–122.

 

Sabir M. Gusein-Zade, Dirk Siersma
           Deformations of Polynomials and their zeta functions.
           Preprint arXiv. Math AG/0503450 . Russian pdf.

           Published in: Sovrem. Mat. Prilozh. No. 33 (2005), 36--42;

           translation in J. Math. Sci. (N. Y.) 144 (2007), no. 1, 3782–3788

Dirk Siersma, Mihai Tibar,
          
Betti Bounds of Polynomials
           Preprint arXiv math.AG/111013678
            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 J. Discrete Math. 22 (2008), no. 2, 737–746

M. van Manen, D. Siersma,
            Power Diagrams and their Applications
             Manuscript august 2005.  Math.MG/0508037;
             will be published in separate papers; the first see below: Medial axis and a Moment Map.

             The second part: Power Diagrams and Morse Theory; Updated version (2014)  

 

 M. van Manen, D. Siersma,
               Medial Axis and a Moment Map
                Published in Demonstratio Math. 43 (2010), no. 2, 375–385

L.Birbrair, D. Siersma,
            Metric Properties of Conflict Sets, Manuscript april 2007; Math.MG0704.3992
            Published in Houston Mathematical Journal 35 (2009), no. 1, 73–80

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

 

 Dirk Siersma, Mihai Tibar,

            Vanishing Homology of Projective Hypersurfaces with 1-dimensional Singularities, ArXiv Math.AG 1411.2640, 10 Nov 2014

 

On polygonal linkages and configurations

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 November 2014

            Published in: Journal of Singularities, Volume 13 ( 2015), 159-168; DOI: 10.5427/jsing.2015.13h

 Dirk Siersma

             Extremal Configurations of Robot Arms in Three Dimensions.

             ArXiv Math, MG1403.5913, March 2014 updated November 2014.

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

            Published in: Journal of Singularities volume 12 (2015), 180-190; DOI: 10.5427/jsing.2015.12m

 George Khimshiashvili, Gaiane Panina, Dirk Siersma, Vladimir Zolotov

             Point charges and Polygonal Linkages.

             ArXiv Math, MG 1503.04463, March 2015

             Published on line 26 june 2015 in Journal of Dynamical and Control Systems

             DOI 10.1007/s10883-015-9286-3

George Khimshiashvili, Gaiane Panina, Dirk Siersma

             Equilibria of point charges on convex curves.

             ArXiv Math, MG 1503.04284, March 2015

 

Downloads of (selected) publications

1967: Dirk Siersma

               Zuinige C.W.-complexen (Frugal C.W.-complexes) [in Dutch]

               Doctoraal Scriptie (Master Thesis) Universiteit van Amsterdam, 1967.

1974: Dirk Siersma

              Classification and Deformation of Singularities

              Dissertation, University of Amsterdam, July 3, 1974

              Classification and Deformation of singularities (second printing 1979)

              Includes some corrections, and printed with 2 pages on one sheet.

1977: Dirk Siersma

              Periodicities in Arnold's list of singularities

              in: Real and Complex Singularities, Oslo 1976; P. Holm (editor)

 

1979: Dirk Siersma

              Katastrofe-theorie [in Dutch]

              Natuurkundige Voordrachten N.R. 57 (1979), 157-178

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).

 

 

cTWO: Commissie Toekomst WiskundeOnderwijs

 

 

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Dirk Siersma

Last updated: Juli 2015