The Gallery
In this section, we present images and animations of nodal surfaces.
In particular, we show all surfaces which reach the currently known records for surfaces with many singularities.
Furthermore, we give related information and links.
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At the left, you see a surface of degree 9 (nonic) which has 216 ordinary nodes as singularities. It is a variant of Chmutov's surfaces.
216 is the current maximum number of real singularities on a surface of degree 9.
I constructed a nonic with 226 (complex) nodes in my Ph. D. thesis. Until now, this is the maximum number of nodes on a surface of degree 9.
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Recent & Upcoming
- March 2010: Invited talk at the Saga Workshop 2010, Auron, France: Visualization of Real Algebraic Curves and Surfaces with Singularities.
- February 2010: Talk at the Convex Algebraic Geometry Workshop at Banff, Canada: Visualizing Convex Algebraic Geometry
- July 2009: Talk at the university of Hannover, Germany: Real surfaces with real singularities and applications (in didactics and architecture)
- May 2009: Talk at the architecture department of the technical university at Cottbus, Germany: Algebraic Geometry in Architecture?
- Feb. 18, 2009: Talk at the Otto-Hahn-Gymnasium at Saarbrücken (Germany): Von Pythagoras zu aktueller algebraischer Geometrie (PDF)
- Nov. 3 - Nov. 7, 2008: at the Maths Research Institute at Oberwolfach (Germany): Organizer of a teachers' training course on the use of algebraic curves and surfaces in school (in German).
- Oct. 24. - Nov. 16, 2008: Ausstellung IMAGINARY 2008 in der K4-Galerie in Saarbrücken.
- Sept. 2008 at Kassel (Germany): Talk at the AKMUI meeting.
- Sept 2008 at Erlangen (Germany): Talk at the DMV Conference. I am also one of the organizers of a Mini-Symposium there.
- Sept 2008 at Oslo (Norway): Talk at the CMA seminar.
- August 2008 at Saarbrücken: Talk at the Kulturmeilen-Fest: Über die Schönheit der Geometrie(in German). PDF-Download. Mathematische Animationen zum Vortrag: Barth-Fläche, Enriques-Flächen, meine 99-nodale Fläche.
- January 2008: Our paper on surfaces with many solitary points on arxiv.org.
- December 2007 at Paris (France): Invited Talk at MACIS 2007: Visualization Challenges in Real Algebraic Geometry
- 2006, December 1: Together with Hans-Christian Graf von Bothmer, I present an advent calendar of geometrical animations: www.Calendar.AlgebraicSurface.net
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