Contributions and Presentations

ZbMath Reviews

Mathematical Presentations

• Kneser's Algorithm, 13.12.2021, Linz Algebra Research Day
• 3R Positional Robots, 14.06.2021, Online Scientific Meeting
• Implementing HuPf with 6R/P Manipulators. Conference on Geometry Theory and Applications, Innsbruck, Austria, 07.06.2019.
• Sum of Squares over Rational. Computer Algebra Seminar, Research Institute for Symbolic Computation, Hagenberg, Austria, 08.11.2018.
• An Overview of (some) Mathematical Problems in Robotics. Oberseminar Reelle Geometrie, University of Konstanz, Konstanz, Germany, 08.06.2018.
• Generalizing concepts in field theory to rings. Computer Algebra Seminar, Research Institute for Symbolic Computation, Hagenberg, Austria, 03. + 10.11.2016.
• Generalizing Some Results in Field Theory for Rings. Second International Workshop and Conference in Commutative Algebra, Tribhuvan University, Kathmandu, Nepal, 19.10.2016.
• Sufficiency sets for the Collatz conjecture. LARD Seminar, Research Institute for Symbolic Computation, Hagenberg, Austria, 09.06.2016.
• A short result on the Collatz conjecture. University of the Philippines, Diliman, Quezon City, Philippines, 20.01.2016.
• A mathematical motivation for industrial robotic motion planning. Computational Mathematics - Numerical Analysis and Symbolic Computation, Johannes Kepler University, Linz, Austria, 23.05.2014. (Slides, Paper).
• A motivational talk in real algebraic geometry. University of the Philippines, Diliman, Quezon City, Philippines, 07.12.2009.
• Real closed rings and real closed * rings. DFG Seminar, University of Regensburg, Regensburg, Germany, 06.2006.
• Crash Course in Category Theory. DFG Seminar, University of Regensburg, Regensburg, Germany, 06.2006.
• Real closed * rings. DFG Seminar, University of Passau, Passau, Germany, 05.2006.
• Reals Sheaf Structures of Partially Ordered Rings. DFG-Seminar Reelle Algebraische Geometrie, University of Passau, Passau, Germany, 12.04.2006.
• Weil Pairings of Elliptic Curves. DFG-Seminar Reelle Algebraische Geometrie, University of Passau, Passau, Germany, 09.12.2004.
• Weil Pairings of Elliptic Curves. Oberseminar Komplex Analysis, Ludwig Maximilians University, Munich, Germany, 2004.

Non-mathematical Presentations

• RRT Planner for the Binpicking Problem. International Workshop on Robot Motion and Control (RoMoCo) 2013, Wasowo Palace, Poland, 04.07.2013. (pdf, ppt)
• The Determination of Optimum CeO₂ Loading on Al₂O₃ for CO Oxidation and the Reactivity of C₃H₆ to the Optimum Loading. Chemical Engineering Presentations, De La Salle University, Manila, Philippines, 03.1998.

Lehre

Wintersemester

• Vorkurs Darstellende Geometrie (844802)
• Konstruktion / CAD in der Elektrotechnik (844870)

Sommersemester

• Geometrische Modellierung, Visualisierung und CAD - Übung (844855)
• Kinematik und Robotik (844866)

Publikationen (Auswahl)

Mathematical

• Topology of the Singularities of 3-RPR Planar Parallel Robots (with: C. Spartalis), Computer Aided Geometric Design 2022, Vol. 99, in Press.
• Geometry Based Analysis of 3R Serial Robots (with: P. Wenger, et al.). In: Advances in Robot and Kinematics, Springer 2022, Vol.24, p.65-72.
• Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics (with: M. Safey El Din and J. Schicho). Journal of Symbolic Computation 2022, Vol. 115, p. 320-345.
• Necessary and Sufficient condition for a generic 3R serial manipulator to be cuspidal (with: D. Salunkhe et al.). Mechanism and Machine Theory 2022, Vol. 171
• Two Remarks on Sums of Squares (with: C. Scheiderer). Algebra, Logic and Number Theory. Banach Center Publications 2020, Vol. 121, p.25-36.
• Robots, Computer Algebra and Eight Connected Components (with: M. Safey El Din and J. Schicho). Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, ACM 2020, p. 62-69
• Implementing HuPf algorithm for the inverse kinematics of general 6R/P manipulators (with S. M. Manongsong). Computer Algebra in Scientific Computing 2019, Lecture Notes in Computer Sciences, pp.78-90, Springer 2019.
• Factorization of Integer Valued Polynomials. Python code, cypari, 2018.
• Generalizing some Results in Field Theory for Rings. RISC Technical Report, 01.2017.
• The Number of Realization of a Laman Graph (with M. Gallet, C. Koutschan, G. Grasseger, N. Lubbes and J. Schicho). SIAM Journal on Applied Algebra and Geometry (SIAGA) 2017, Vol. 2, No. 1, pp. 94-125.
• Odd Collatz Sequence and Binary Representations. RISC Technical Report, 09.2015.
• Real Closed Rings and Real Closed * Rings. Journal of Pure and Applied Algebra, Vol. 218, No. 1, pp. 101-111, 2014.
• Real Closed * Rings. Doctoral Thesis, 10.2010.
• Generalized Artin Schreier Theorem I. 28.10.2012.
• Real Sheaf Structures. In preparation.
• Real closed * partially ordered Rings. arXiv and RAAG, preprint 01.06.2009.
• Uniqueness of real closure * of regular rings. arXiv, preprint 01.2008.
• Uniqueness of real closure * of Baer regular rings. ArXiv, preprint 08.2007, accessed 12.12.2007.
• Real Closed Rings and real Closed * Rings. ArXiv, preprint 06.2007, accessed 12.12.2007.
• Weil Pairings of Elliptic Curves. Master's Thesis, Mathematics Institute, Ludwig Maximilians Universität, Munich, Germany, 2004.

Non-mathematical

• RRT-Binpicking for Industrial Application. IEEE International Symposium on Assembly and Maufacturing (ISAM) 2013, Xi'an, China, accessed 05.2013.
• RRT Planner for the Binpicking Problem. International Workshop on Robot Motion and Control (RoMoCo) 2013, Wasowo Palace, Poland, accessed 05.2013.
• The Determination of Optimum CeO2 Loading on Al2O3 for CO Oxidation and the Reactivity of C3H6 to the Optimum Loading. De La Salle Univerity, Manila Philippines, 1998.
• A few 1.e4 e6, 1.e4 d6 unorthodox variations including the Czech-Benoni. In preparation.
• How to play like Alekhine. In preparation.
• Hair Simulation in Makehuman alpha releases (Link)

alle Publikationen