Ivan Izmestiev Institut für Mathematik, MA 8-3 Technische Universität Berlin Straße des 17. Juni 136 10623 Berlin, Germany Tel: +49 30 31425782 Fax: +49 30 31479282 E-mail: izmestiev@math.tu-berlin.de

Papers and preprints

• Infinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional II: Smooth case. arXiv:1105.5067
• Infinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional I: Polyhedral case. arXiv:1105.5066
• Examples of infinitesimally flexible 3--dimensional hyperbolic cone-manifolds., J. Math. Soc. Japan. 63, No. 2 (2011), 581-598. arXiv:0910.2876
• Gauss images of hyperbolic cusps with convex polyhedral boundary. (with François Fillastre), Trans. Am. Math. Soc. 363, No. 10 (2011), 5481-5536 arXiv:0908.2044
• Projective background of the infinitesimal rigidity of frameworks., Geom. Dedicata 140, No.1 (2009), 183-203. arXiv:0804.2694
• Infinitesimal rigidity of polyhedra with vertices in convex position. (with Jean-Marc Schlenker), Pacific J. Math. 248, No. 1 (2010), 171-190. arXiv:0711.1981
• Hyperbolic cusps with convex polyhedral boundary. (with François Fillastre), Geom. Topol. 13, No. 1 (2009), 457-492. arXiv:0708.2666
• Colin de Verdière number and graphs of polytopes., Israel J. Math. 178 (2010), 427-444. arXiv:0704.0349
• A variational proof of Alexandrov's convex cap theorem., Discrete Comput. Geom. 40, No. 4 (2008), 561-585. arXiv:math/0703169
• Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes. (with Alexander Bobenko), Ann. Inst. Fourier 58, No. 2 (2008), 447-505. arXiv:math/0609447
• On the angle sum of a polytope. (Russian) Mat. Prosv. 10 (2006), 132-150. pdf
• On the hull numbers of torus links. J. Knot Theory Ramifications 15, No. 5 (2006), 589-600. arXiv:math/0412139
• Extension of colorings. Eur. J. Comb. 26 (2005), No. 5, 779-781. pdf
• Branched coverings, triangulations, and 3-manifolds., (with Michael Joswig) Adv. Geom. 3, No.2 (2003), 191-225. arXiv:math/0108202
• Three-dimensional manifolds defined by coloring a simple polytope. Math. Notes 69, No.3 (2001), 340-346; translation from Mat. Zametki 69, No.3(2001), 375-382. pdf

Lecture notes and exercise sheets

• Folien der Vorlesung "Mathematik für Bauwesen" (TU Darmstadt, WS 11/12):
  Vorlesung1 Vorlesung2 (zum Ausdrucken)
  Overlays1 Overlays2 (Präsentation-Modus, nicht drucken!)
• Eine Geschichte über den Basiswechsel aus der "Mathematik für Physiker" Vorlesung (TU Berlin, WS09/10): German pdf
• Lectures on Infinitesimal Rigidity (Kyushu University, Japan, Spring 09): English pdf
• Exercises in Geometry (TU Berlin, WS 06, with Boris Springborn): English pdf and tex
• Lectures and exercises in Convex Geometry (FU Berlin, WS 03): German pdf
• Lectures on Olympiad Problems (University of Regensburg, SS 03): German pdf