Publications
2023
Scholarly publications
Khimshiashvili, G., & Siersma, D. (2023). Hooke and Coulomb Energy of Tripod Spiders. (pp. 1-8). arXiv. https://doi.org/10.48550/arXiv.2301.09314
https://dspace.library.uu.nl/bitstream/handle/1874/432134/2301.09314v1.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/432134/2301.09314v1.pdf?sequence=1
Siersma, D., & Panina, G. Y. (2023). Concurrent normals of immersed manifolds. Communications in Mathematics, 31(3), 1-8. https://doi.org/10.46298/cm.10840
Siersma, D. (2023). Extremal area of polygons sliding along curves. Journal of Geometry and Physics, 187, 1-16. Article 104786. https://doi.org/10.1016/j.geomphys.2023.104786
2022
Scholarly publications
Siersma, D., & Tibăr, M. (2022). Polar degree and vanishing cycles. Journal of Topology, 15(4), 1807-1832. Advance online publication. https://doi.org/10.1112/topo.12260
Siersma, D., & Tibăr, M. (2022). Polar degree of hypersurfaces with 1-dimensional singularities. Topology and its Applications, 313, Article 107992. https://doi.org/10.1016/j.topol.2021.107992
Karpenkov, O., Müller, C., Panina, G., Servatius, B., Servatius, H., & Siersma, D. (2022). Equilibrium stressability of multidimensional frameworks. European Journal of Mathematics, 8(1), 33-61. https://doi.org/10.1007/s40879-021-00523-3
Siersma, D., & van der Kallen, W. (2022). Subset representations and eigenvalues of the universal intertwining matrix. Journal of Pure and Applied Algebra, 226(8), 1-6. Article 107024. https://doi.org/10.1016/j.jpaa.2022.107024
Siersma, D. (2022). Extremal Area of Polygons, sliding along a Circle. Hokkaido Mathematical Journal, 51(1), 175-187. https://doi.org/10.14492/HOKMJ/2020-312
https://dspace.library.uu.nl/bitstream/handle/1874/421015/2001.10882?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/421015/2001.10882?sequence=1
2021
Scholarly publications
Siersma, D., & Tibăr, M. (2021). Polar degree of hypersurfaces with 1-dimensional singularities. arXiv. Advance online publication. https://doi.org/10.48550/arXiv.2105.05743
Siersma, D., & Tibăr, M. (2021). Polar degree and vanishing cycles. (pp. 1-26). arXiv. https://doi.org/10.48550/arXiv.2103.04402
Khimshiashvili, G., Panina, G., & Siersma, D. (2021). Area-perimeter duality in polygon spaces. Mathematica Scandinavica, 127(2), 252–263. https://doi.org/10.7146/math.scand.a-126041
Siersma, D., Steenbrink, J., & Tibar, M. (2021). On Huh's conjectures for the polar degree. Journal of Algebraic Geometry, 30, 189-203. https://doi.org/10.1090/jag/741
2020
Scholarly publications
Khimshiashvili, G., Siersma, D., & Panina, G. (2020). Extremal Areas of Polygons with fixed Perimeter. Journal of Mathematical Sciences, 247(5), 731–737. https://doi.org/10.1007/s10958-020-04835-9
2019
Scholarly publications
Khimshiashvili, G., & Siersma, D. (2019). Connecting cycles for concentric circles. Bulletin of the Georgian National Academy of Sciences, 13(1), 13-21.
https://dspace.library.uu.nl/bitstream/handle/1874/390195/02_Ximshiashvili.pdf?sequence=2
https://dspace.library.uu.nl/bitstream/handle/1874/390195/02_Ximshiashvili.pdf?sequence=2
2018
Scholarly publications
Khimshiashvili, G., Panina, G., & Siersma, D. (2018). Regular stars as critical points. Bulletin of the Georgian National Academy of Sciences, 12(4), 17-22.
https://dspace.library.uu.nl/bitstream/handle/1874/407767/03_Khimshiashvili.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/407767/03_Khimshiashvili.pdf?sequence=1
Siersma, D. (2018). Non reduced plane curve singularities with b1(F)=0 and Bobadilla's question. Topology and its Applications, 234(Special issue), 104-107. https://doi.org/10.1016/j.topol.2017.11.029
Panina, G., & Siersma, D. (2018). On the area of constrained polygonal linkages. Topology and its Applications, 238, 32-44. https://doi.org/10.1016/j.topol.2018.02.004
Panina, G., & Siersma, D. (2018). Motion planning and control of a planar polygonal linkage. Journal of Symbolic Computation, 88, 5-20. https://doi.org/10.1016/j.jsc.2018.02.002
2017
Scholarly publications
Siersma, D., & Tibăr, M. (2017). Milnor Fibre Homology via Deformation. In W. Decker, G. Pfister, & M. Schulze (Eds.), Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday (pp. 305-322) https://doi.org/10.1007/978-3-319-28829-1_14
Siersma, D., & Tibăr, M. (2017). Vanishing homology of projective hypersurfaces with 1-dimensional singularities. Central European Journal of Mathematics, 3(3), 565-586. https://doi.org/10.1007/s40879-017-0151-7
Khimshiashvili, G., Panina, G., Siersma, D., & Zolotov, V. (2017). Point Charges and Polygonal Linkages. Journal of Dynamical and Control Systems, 23(1), 1-17. https://doi.org/10.1007/s10883-015-9286-3
2016
Scholarly publications
Khimshiashvili, G., Panina, G., & Siersma, D. (2016). Equilibria of three constrained point charges. Journal of Geometry and Physics, 106, 42-50. https://doi.org/10.1016/j.geomphys.2016.03.006
2015
Scholarly publications
Khimshiashvili, G., Panina, G., & Siersma, D. (2015). Equilibria of point charges on convex curves. Journal of Geometry and Physics, 98, 110-117. https://doi.org/10.1016/j.geomphys.2015.07.024
Siersma, D. (2015). Extremal configurations of robot arms in three dimensions. Journal of Singularities, 12, 180-190. https://doi.org/10.5427/jsing.2015.12m
Khimshiashvili, G., & Siersma, D. (2015). Cross-ratios of quadrilateral linkages. Journal of Singularities, 13, 159-168. https://doi.org/10.5427/jsing.2015.13h
2014
Scholarly publications
Khimshiashvili, G. N., Panina, G. Y., & Siersma, D. (2014). Coulomb Control of Polygonal Linkages. Journal of Dynamical and Control Systems, 20(4), 491-501. https://doi.org/10.1007/s10883-014-9218-7
2013
Scholarly publications
Khimshiashvili, G., Panina, G., Siersma, D., & Zhukova, A. (2013). Critical configurations of planar robot arms. Central European Journal of Mathematics, 11(3), 519-529. https://doi.org/10.2478/s11533-012-0147-y
Khimshiashvili, G., & Siersma, D. (2013). Critical Configurations of planar Multiple Penduli. Journal of Mathematical Sciences, 195(2), 198-212. https://doi.org/10.1007/s10958-013-1574-4
2012
Professional publications
Siersma, D. (2012). Poincaré and Analysis Situs, the beginning of algebraic topology. Nieuw archief voor wiskunde. Serie 5, 13(3), 196-200.
https://dspace.library.uu.nl/bitstream/handle/1874/272371/Poincare%27_naw5-2012-13-3-196.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/272371/Poincare%27_naw5-2012-13-3-196.pdf?sequence=1
2011
Scholarly publications
Siersma, D., & Tibar, M. (2011). Betti bounds of polynomials. Moscow Mathematical Journal, 11(3), 599-615. http://www.mathjournals.org/mmj/vol11-3-2011/abst11-3-2011.html#siersma-tibar
https://dspace.library.uu.nl/bitstream/handle/1874/233924/siersma-tibar.pdf?sequence=2
https://dspace.library.uu.nl/bitstream/handle/1874/233924/siersma-tibar.pdf?sequence=2
Professional publications
Khimshiashvili, G., Panina, G., Siersma, D., & Zhukova, A. (2011). Extremal configurations of polygonal linkages. (Oberwolfach preprints ed.) OWP.
https://dspace.library.uu.nl/bitstream/handle/1874/233977/OWP2011_24.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/233977/OWP2011_24.pdf?sequence=1
2010
Scholarly publications
Siersma, D., & van Manen, M. (2010). Medial axis and a moment map. Demonstratio Mathematica, 43(2), 375-385.
2009
Scholarly publications
Birbrair, L., & Siersma, D. (2009). Metric properties of conflict sets. Houston Journal of Mathematics, 35(1), 73-80.
2008
Scholarly publications
Siersma, D. (2008). The nine Morse generic tetrahedra. SIAM Journal on Discrete Mathematics, 22(2), 737-746.
Professional publications
Siersma, D. (2008). Visie op wiskundeonderwijs. Nieuw archief voor wiskunde. Serie 5, 9(4), 282.
https://dspace.library.uu.nl/bitstream/handle/1874/315355/282.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/315355/282.pdf?sequence=1
2007
Professional publications
Siersma, D., & Drijvers, P. H. M. (2007). Rijk aan betekenis, het visiedocument van cTWO in vogelvlucht. Euclides, 82(5), 169-172.
van Asselt, R., Beukers, F., Blankespoor, J., Broer, H., Drijvers, P. H. M., Garst, S., van de Giessen, C., Kaenders, R., Kleijne, W., Kollenveld, M., Peletier, M., Siersma, D., van Streun, A., & Zaal, C. G. (2007). Rijk aan betekenis. Visie op vernieuwd wiskundeonderwijs. Commissie Toekomst WiskundeOnderwijs, cTWO.
2006
Scholarly publications
Siersma, D., & Tibar, M. (2006). Singularity Exchange at the Frontier of the Space (in: Real and Complex Singularities). Trend in Mathematics, 342.
Gusein Zade, S., & Siersma, D. (2006). Deformations of Polynomials and their Zeta Functions, Contemporary Mathematics and its Applications. In Proceedings of the International Conference on Dynamical Systems and Differential Equations (pp. 36-42)
Khimshiashvili, G., & Siersma, D. (2006). Stable Holomorphic Curves in Loop Spaces. Bulletin of the Georgian National Academy of Sciences, 173(2), 225-229.
Siersma, D., & Tibar, M. (2006). The Gauss-Bonnet defect of complex affine hypersurfaces. Bulletin des sciences mathématiques, 130(2), 110-122.
2005
Scholarly publications
van Manen, M., & Siersma, D. (2005). Power diagrams and Morse Theory. arXiv. http://adsabs.harvard.edu/abs/2005math......8037V
Siersma, D., & Tiba, M. (2005). Lectures on the topology of polynomial functions and singularities at infinity. In J. P. Brasselet, J. Damon, L. E. Dung Trang, & M. Oka (Eds.), Singularities in geometry and topology (pp. 520-555). World Scienctific.
2004
Scholarly publications
Siersma, D., & Tibar, M. (2004). Curvature and Gauss-Bonnet defect of global affine hypersurfaces. Bulletin des Sciences Mathematiques, 130. http://adsabs.harvard.edu/abs/2004math......7056S
Siersma, D., & Tibar, M. (2004). On the vanishing cycles of a meromorphic function on the complement of its poles. Contemporary Mathematics, 354, 277-289.
2003
Scholarly publications
Lindenbergh, R. C., van der Kallen, W. L. J., & Siersma, D. (2003). Configuration spaces and limits of voronoi diagrams. Banach Center Publications, 62, 183-195.
Siersma, D., & Tibar, M. (2003). Deformations of polynomials, boundary singularities and monodromy. Moscow Mathematical Journal, 3(2), 661-679.
Khimshiasvili, G., & Siersma, D. (2003). Remarks on minimal round functions. Banach Center Publications, 62, 159-172.
Janeczko, S., & Siersma, D. (2003). Geometry and Topology of Caustics - Caustics2002. (Banach Center Publications ed.) Polish Academy of Sciences, Institute of Mathematics. http://journals.impan.gov.pl/bc/Cont/bc62-0.html
2002
Other output
Siersma, D. (2002). Deformations of polynomials. Paper presented at Unknown event, Asilomar, USA.
2001
Scholarly publications
Siersma, D., & Tibar, M. (2001). Singularities at infinity and their vanishing cycles, II. Monodromy. Publications of the Research Institute for Mathematical Sciences, Kyoto University, 36(6), 659-679.
Siersma, D. (2001). The vanishing topology of nn isolated singularities. In D. Siersma, C. T. C. Wall, & V. Zakalyvkin (Eds.), New Developments in Singularity Theory (pp. 447-472). Kluwer Academic Publishers.
Siersma, D., Wall, C. T. C., & Zakalyvkin, V. (2001). New Developments in Singularity Theory. (Nato Science Series II: Mathematics, Physics and Chemistry ed.) Kluwer Academic Publishers.
2000
Scholarly publications
Jiang, G., Oka, M., Duc, T. P., & Siersma, D. (2000). Lines on Brieskorn-Pham surfaces. Kodai Mathematical Journal, 23, 214-223.
Siersma, D., & Smeltink, J. W. (2000). Classification of singularities at infinity of polynomials of degree 4 in two variables. Georgian Mathematical Journal, 7, 179-190.
Khimshiashvili, G., & Siersma, D. (2000). Minimal round functions on Low-dimensional manifolds. Bulletin of the Academy of Sciences of Georgia, 162, 3-7.
1999
Scholarly publications
Jiang, G., & Siersma, D. (1999). Local Embeddings of Lines in Singular Hypersurfaces. Annales de l'Institut Fourier, 49(4), 1129-1147.
Sotomayor, J., Siersma, D., & García, R. (1999). Curvatures of conflict surfaces in Euclidean 3-space. In S. Janeczka, & V. M. Zakalyvkin (Eds.), Geometry and topology of Caustics - Caustics '98 (pp. 277-285). (Banach Center Publications; No. 50). Polish Academy of Sciences.
Siersma, D. (1999). Properties of Conflict Sets in the Plane. In S. Janeczko, & V. M. Zakalyukin (Eds.), Geometry and Topology of Caustics - Caustics '98 (pp. 267-276). (Banach Center Publications; No. 50). Polish Academy of Sciences.
Siersma, D. (1999). Voronoi Diagrams and Morse theory of the Distance function. In O. E. Barndorff-Nielsen, & E. B. Vedel Jense (Eds.), Proceedings of the Conference on Geometry in Present Day Science (pp. 187-208). World Scienctific.
1998
Scholarly publications
Siersma, D., & Tibar, M. (1998). Topology of polynomial functions and monodromy dynamics. Comptes rendus de l'Academie des Sciences. Serie 1, mathématique, 327(1998), 655-660.
1995
Scholarly publications
Siersma, D., & Tibăr, M. (1995). Singularities at infinity and their vanishing cycles. Duke Mathematical Journal, 80(3), 771-783. https://doi.org/10.1215/S0012-7094-95-08026-0
1991
Scholarly publications
Siersma, D. (1991). Variation mappings on singularities with a 1-dimensional critical locus. Topology, 30(3), 445-469. https://doi.org/10.1016/0040-9383(91)90025-Y
1990
Scholarly publications
Siersma, D. (1990). The monodromy of a series of hypersurface singularities. Commentarii Mathematici Helvetici, 65(1), 181-197. https://doi.org/10.1007/BF02566602
1987
Scholarly publications
Siersma, D. (1987). Singularities with critical locus a 1-dimensional complete intersection and transversal type A1. Topology and its Applications, 27(1), 51-73. https://doi.org/10.1016/0166-8641(87)90057-5
1981
Scholarly publications
Siersma, D. (1981). Singularities of functions on boundaries, corners, etc. Quarterly Journal of Mathematics, 32(1), 119-127. https://doi.org/10.1093/qmath/32.1.119
1973
Scholarly publications
Siersma, D. (1973). The singularities of C∞-functions of right-codimension smaller or equal than eight. Indagationes Mathematicae (Proceedings), 76(1), 31-37. https://doi.org/10.1016/1385-7258(73)90018-8