Dr. rer. pol. Tomáš Bajbar |
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ausgeschieden: 08 / 2016 |
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Forschungsinteressen
- Growth properties of polynomials & Newton Polytopes
- Global invertibility of maps
- Optimization & Nonsmooth Analysis
- Motion Planning
Vorträge
- On the real Jacobian Conjecture and Newton polytopes, ICCOPT 2016, the 5th International Conference on Continuous Optimization, Tokyo (Japan), August 06.-11., 2016.
- On the real Jacobian Conjecture and Newton polytopes, 14th EUROPT Workshop on Advances in Continuous Optimization, Warsaw (Poland), July 01.-02., 2016.
- 17.06.2016 On the real Jacobian Conjecture and Newton polytopes, Oberseminar Reelle Geometrie und Algebra, Universität Konstanz, Germany.
- 09.03.2016 On coercive polynomials, Newton polytopes and global polynomial diffeomorphisms, Joint Annual Meeting of GAMM and DMV, TU Braunschweig, Braunschweig (Germany), March 07.-11., 2016.
- 08.10.2015: Coercive polynomials and their Newton polytopes (poster presentation), Meeting on Algebraic Vision 2015, TU Berlin, Berlin (Germany), October 08.-09., 2015.
- 13.07.2015: Coercive polynomials and their Newton polytopes, 21st International Symposium on Mathematical Programming (ISMP), Pittsburgh (U.S.), July 12.-17., 2015.
- 10.07.2015: Newton polytopes of stably coercive polynomials and related coercivity concepts, 13th EUROPT Workshop on Advances in Continuous Optimization, Edinburgh (UK), July 08.-10., 2015.
- 28.04.2015: Global polynomial diffeomorphisms, coercive polynomials and Newton polytopes, CORE Seminar, Université catholique de Louvain, Louvain-la-Neuve, Belgium.
- 31.03.2015: Coercive polynomials and their Newton polytopes (poster presentation), 4th Joint British Mathematical Colloquium & British Applied Mathematics Colloquium, University of Cambridge, Cambridge (UK), March 30.-April 02., 2015.
- 25.03.2015: Coercive polynomials and their Newton polytopes, AG & Oberseminar Diskrete Mathematik, Johann Wolfgang Goethe-Universität, Frankfurt am Main, Germany.
- 14.11.2014: Coercive polynomials and their Newton polytopes, Oberseminar Reelle Geometrie und Algebra, Universität Konstanz, Germany.
- 05.09.2014: Coercive polynomials and their Newton polytopes, GOR 2014, Aachen, Germany, September 2 - 5, 2014.
- 12.07.2014: Coercive polynomials and their Newton polytopes, 12th EUROPT Workshop on Advances in Continuous Optimization, Perpignan, France, July 10 - 12, 2014.
- 26.06.2013: On semicontinuity properties in generalized semi-infinite programming under coercivity, 11th EUROPT Workshop on Advances in Continuous Optimization, Firenze (Italy), June 26.-28., 2013.
- 24.08.2012: Nonsmooth Versions of Sard's Theorem, 21st International Symposium on Mathematical Programming, Berlin (Germany), August 19.-24., 2012.
Konferenzen und Kurse
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ICCOPT 2016, the 5th International Conference on Continuous Optimization, Tokyo (Japan), August 06.-11., 2016.
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14th EUROPT Workshop on Advances in Continuous Optimization, Warsaw (Poland), July 01.-02., 2016.
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Joint Annual Meeting of GAMM and DMV, TU Braunschweig, Braunschweig (Germany), March 07.-11., 2016.
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Central European Set-Valued and Variational Analysis Meeting, Institut für Numerische und Angewandte Mathematik, University of Göttingen, Göttingen (Germany), October 24, 2015.
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Meeting on Algebraic Vision 2015, TU Berlin, Berlin (Germany), October 08.-09., 2015.
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21st International Symposium on Mathematical Programming (ISMP), Pittsburgh (U.S.), July 12.-17., 2015.
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13th EUROPT Workshop on Advances in Continuous Optimization, Edinburgh (UK), July 08.-10., 2015.
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4th Joint British Mathematical Colloquium & British Applied Mathematics Colloquium, University of Cambridge, Cambridge (UK), March 30.-April 02., 2015.
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GOR 2014 Conference , Aachen, Germany, September 2 - 5, 2014.
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12th EUROPT Workshopon Advances in Continuous Optimization, Perpignan (France), July 10.-12., 2014.
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Polynomial Optimisation Workshop, Isaac Newton Institute for Mathematical Sciences, Cambridge (UK), July 15.-19., 2013.
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11th EUROPT Workshop on Advances in Continuous Optimization, Firenze (Italy), June 26.-28., 2013.
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21st International Symposium on Mathematical Programming (ISMP), Berlin (Germany), August 19.-24., 2012.
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25th European Conference on Operational Research (EURO 2012), Vilnius (Lithuania), July 08.-11., 2012.
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Summer School on Shape Optimization, Centro di Ricerca Matematica Ennio De Giorgi (Scuola Normale Superiore), Pisa (Italy), June 03.-08., 2012.
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Winter School on Calculus of Variations in Physics and Materials Science, University of Würzburg, Würzburg (Germany), January 08.-13., 2012.
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Summer School on Business Administration, IESE Business School, Barcelona (Spain), May 23.-30., 2010.
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Scientific Meeting "Young Mathematicians Meet in Bonn", Hausdorff Center for Mathematics (University of Bonn), Bonn (Germany), July 03.-05., 2008.
Publikationen
- T. Bajbar, O. Stein, On Globally Diffeomorphic Polynomial Maps via Newton Polytopes and Circuit Numbers , arXiv:1602.01977 [math.AG], 2016.
- T. Bajbar, O. Stein, Coercive polynomials: Stability, order of growth, and Newton polytopes,Optimization Online, Preprint ID 2015-10-5158, 2015.
- T. Bajbar, O. Stein, Coercive polynomials and their Newton polytopes , SIAM Journal on Optimization, Vol. 25 (2015), 1542-1570. This example by Sönke Behrends shows that the implication in Lemma 2.2 may not be reversed.
Titel | Typ | Ort | Zeit |
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Seminar zur Mathematischen Optimierung (Master) | Seminar | Geb. 20.13, HS 111 |
SoSe 2016 |
Globale Optimierung I + II | Übung | SoSe 2016 |
Titel | Typ | Zeit |
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Globale Optimierung I + II | Übung | WiSe 2014/2015 |
Nichtlineare Optimierung I + II | Übung | SoSe 2013 |
Parametrische Optimierung | Übung | SoSe 2014 |
Projektseminar zur Optimierung | Seminar | WiSe 2015/2016 |