Wissenschaftliche Artikel

Izmestiev, I., Rasoulzadeh, A., & Tervooren, J. (2024). Isometric deformations of discrete and smooth T-surfaces. COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 122, Article 102104. https://doi.org/10.1016/j.comgeo.2024.102104 ( reposiTUm)
Izmestiev, I. (2023). Matching centroids by a projective transformation. Geometriae Dedicata, 217(3), Article 53. https://doi.org/10.1007/s10711-023-00789-9 ( reposiTUm)
Izmestiev, I. (2023). Deformation of quadrilaterals and addition on elliptic curves. MOSCOW MATHEMATICAL JOURNAL, 23(2), 205–242. https://doi.org/10.17323/1609-4514-2023-23-2-205-242 ( reposiTUm)
Fuchs, D., Izmestiev, I., Raffaelli, M., Szewieczek, G., & Tabachnikov, S. (2023). Differential Geometry of Space Curves: Forgotten Chapters. Mathematical Intelligencer. https://doi.org/10.1007/s00283-023-10280-8 ( reposiTUm)
Wimmer, M., Kovacic, I., Ferschin, P., Rist, F., Hensel, M., Schinegger, K., Rutzinger, S., Kaufmann, H., Kilian, M., Müller, C., Izmestiev, I., Nawratil, G., Füssl, J., Stavric, M., Hahn, D., & Suter, G. (2022). Advanced Computational Design – digitale Methoden für die frühe Entwurfsphase. Bautechnik, 99(10), 720–730. https://doi.org/10.1002/bate.202200057 ( reposiTUm)
Arnold, M., Fuchs, D., Izmestiev, I., & Tabachnikov, S. (2022). Cross-ratio Dynamics on Ideal Polygons. International Mathematics Research Notices, 2022(9), 6770–6853. https://doi.org/10.1093/imrn/rnaa289 ( reposiTUm)
Glutsyuk, A., Izmestiev, I., & Tabachnikov, S. (2021). Four equivalent properties of integrable billiards. Israel Journal of Mathematics, 241(2), 693–719. https://doi.org/10.1007/s11856-021-2110-8 ( reposiTUm)
Izmestiev, I. (2020). Four-bar linkages, elliptic functions, and flexible polyhedra. Computer Aided Geometric Design, 79(101870), 101870. https://doi.org/10.1016/j.cagd.2020.101870 ( reposiTUm)
Akopyan, A., & Izmestiev, I. (2019). The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society, 51(5), 765–775. https://doi.org/10.1112/blms.12276 ( reposiTUm)

Beiträge in Büchern

Izmestiev, I. (2022). Convex Bodies: Mixed Volumes and Inequalities. In A. Papadopoulos (Ed.), Surveys in Geometry I (pp. 171–203). Springer. https://doi.org/10.1007/978-3-030-86695-2_5 ( reposiTUm)
Izmestiev, I. (2019). Spherical and hyperbolic conics. In IRMA Lectures in Mathematics and Theoretical Physics (pp. 262–320). Eur Math Society Zürich. https://doi.org/10.4171/196-1/15 ( reposiTUm)
Izmestiev, I. (2019). Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry. In IRMA Lectures in Mathematics and Theoretical Physics (pp. 191–233). Eur Math Society Zürich. https://doi.org/10.4171/196-1/12 ( reposiTUm)

Präsentationen

Izmestiev, I. (2024, May 16). Discrete and semi-discrete Voss surfaces [Presentation]. Workshop 6 “Structures — Polyhedra, Meshes, Platforms,” Linz, Austria. ( reposiTUm)
Izmestiev, I. (2024, September 25). Discrete spherical Laplacian [Conference Presentation]. Wachspress geometry, Leipzig, Germany. ( reposiTUm)
Izmestiev, I. (2023, July 31). Discrete Conformality for Spherical Cone-Metrics [Presentation]. Applied and Computational Differential Geometry and Geometric PDEs 2023, Banff, Canada. ( reposiTUm)
Izmestiev, I. (2022, 0 0). Discrete Laplacians and infinitesimal isometric deformations [Conference Presentation]. Workshop on discrete geometric structures, Wien, Austria. ( reposiTUm)
Izmestiev, I. (2022, 0 0). Algebraische Gleichungen und Summen zweier Quadrate [Conference Presentation]. IMO Herbsttraining, Wien, Austria. ( reposiTUm)
Izmestiev, I. (2022, 0 0). Geometrie [Conference Presentation]. Bundeswettbewerb Mathematik, Raach, Austria. ( reposiTUm)
Izmestiev, I. (2022, 0 0). Algebraische Gleichungen 3. und 4. Grades [Conference Presentation]. Seminar für OlympiadekursleiterInnen, Mariazell, Austria. ( reposiTUm)
Izmestiev, I. (2022). Folding of quadrilaterals [Presentation]. Hamiltonial systems seminar 2022, Arizona + Toronto, United States of America (the). http://hdl.handle.net/20.500.12708/113063 ( reposiTUm)
Izmestiev, I. (2022, 0 0). Discrete spherical Laplacian [Conference Presentation]. Workshop on integral and metric geometry, Oaxaca, Mexico. ( reposiTUm)
Izmestiev, I. (2022, June 22). Darboux’s wreath of 12 surfaces [Conference Presentation]. Finite Dimensional Integrable Systems in Geometry and Mathematical Physics, Tel Aviv, Israel. ( reposiTUm)
Izmestiev, I. (2021). Linear-rekursive 0-1-Folgen und Pseudozufall. Mathematik macht Freu(n)de, Wien, Austria. http://hdl.handle.net/20.500.12708/123452 ( reposiTUm)
Izmestiev, I. (2021). Kombinatorik und Geometrie. Herbstrainingswoche für die Kandidaten ins IMO Team, Wien, Austria. http://hdl.handle.net/20.500.12708/123451 ( reposiTUm)
Izmestiev, I. (2021). A discrete spherical Laplacian. Workshop on the Geometry of Circle Packings, online, by Fields Institute, Canada, April 12-16, 2021, Canada, Austria. http://hdl.handle.net/20.500.12708/123445 ( reposiTUm)
Izmestiev, I. (2021). Flexible quad-surfaces: beyond Miura-ori. SIAM Conference on Mathematical Aspects of Materials Science (MS 21), online, Unknown. http://hdl.handle.net/20.500.12708/123447 ( reposiTUm)
Izmestiev, I. (2021). A discrete spherical Laplacian. FRG Workshop on Geometric Methods for Analyzing Discrete Shapes, Harvard University, Cambridge, MA, USA, online, United States of America (the). http://hdl.handle.net/20.500.12708/123446 ( reposiTUm)
Izmestiev, I. (2021). Flexible quad-surfaces, elliptic functions, and quadrilateral folding. Workshop on Real Algebraic Geometry and Algorithms for Geometric Constraint Systems, Fields Institut, Canada, Canada. http://hdl.handle.net/20.500.12708/123449 ( reposiTUm)
Izmestiev, I. (2021). Discrete Laplacians: old and new. DMV-ÖMG Jahrestagung 2021, virtuelle Tagung - Zoom / Passau, Germany. http://hdl.handle.net/20.500.12708/123450 ( reposiTUm)
Izmestiev, I. (2021). Zahlentheorie. Vorbereitung auf das Finale des Bundeswettbewerbes Mathematik, Wien, Austria. http://hdl.handle.net/20.500.12708/123448 ( reposiTUm)
Izmestiev, I. (2020). Discrete curvature. Tag der Mathematik, TU München, Munich, Germany. http://hdl.handle.net/20.500.12708/123212 ( reposiTUm)
Izmestiev, I. (2020). Discrete Lipschitz-Killing curvatures. Geometry and Applications, online aufgrund von Covid 19, Austria. http://hdl.handle.net/20.500.12708/123211 ( reposiTUm)
Izmestiev, I. (2020). Geometrie. Seminarvortrag für Kursleiter/Innen der Olympiadekurse, online aufgrund von Covid 19, Austria. http://hdl.handle.net/20.500.12708/123213 ( reposiTUm)
Izmestiev, I. (2020). Invarianten. Seminarvortrag für Kursleiter/Innen der Olympiadekurse, online aufgrund von Covid 19, Austria. http://hdl.handle.net/20.500.12708/123214 ( reposiTUm)
Izmestiev, I. (2019). Mixed volumes and inequalities. CIMPA School on Finsler geometry and applications, Varanasi, India. http://hdl.handle.net/20.500.12708/123022 ( reposiTUm)
Izmestiev, I. (2019). Zahlentheorie. Seminar für die Leiter der Mathematikolympiade-Kursen, Mariazell, Austria. http://hdl.handle.net/20.500.12708/123021 ( reposiTUm)
Izmestiev, I. (2019). On four-bar linkages, elliptic functions and flexible polyhedra. SIAM Conference on Applied Algebraic Geometry, Bern, Switzerland. http://hdl.handle.net/20.500.12708/123018 ( reposiTUm)
Izmestiev, I. (2019). Discrete spherical Laplacian. DGA2019 Differential Geometry and its Applications, Hradec Králové, Czechia. http://hdl.handle.net/20.500.12708/123019 ( reposiTUm)
Izmestiev, I. (2019). Flexible quad-surfaces and elliptic functions. Geometry Workshop, Obergurgl, Austria. http://hdl.handle.net/20.500.12708/123020 ( reposiTUm)

Preprints

Andretta, A., & Izmestiev, I. (2024). How many sprays cover the space? arXiv. https://doi.org/10.34726/8059 ( reposiTUm)
Izmestiev, I., & Lam, W. Y. (2024). Discrete Laplacians – spherical and hyperbolic. arXiv. https://doi.org/10.48550/arXiv.2408.04877 ( reposiTUm)