- algebraic geometry (set theoretic complete intersections) and algebraic curves (esp. elliptic curves)
- kinematics and robotics
- algorithmic/algebraic/analytic number theories (Artin's conjecture, Inverse Galois Problem, prime-generating functions)
- cryptography (elliptic curve cryptography)
- real algebraic geometry (my PhD thesis, sums of squares)
- ring theory (integer valued functions, Galois theory for commutative rings)
- computational geometry and finite projective geometry
- fractal sets
- mathematical chess problems (see Noam Elkies on enumerative chess problems) and various unorthodox mathematical problems

- 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), In: Computer Algebra in Scientific Computing 2019, Lecture Notes in Computer Science, Springer 2019, p. 78-90
- Factorization of Integer Valued Polynomials.Python code, (cypari) , 03.2018
- Generalizing some Results in Field Theory for Rings, 01.2017, RISC Technical Report
- The Number of Realizations 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, p.94-125
- Odd Collatz Sequence and Binary Representations, 09.2015, RISC Technical Report
- Real Closed Rings and Real Closed * Rings, Journal of Pure and Applied Algebra, Journal of Pure and Applied Algebra, 2014, Vol. 218, No. 1, p.101-111
- 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 0.1.06.2009
- 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.
- Master's Thesis: Weil Pairings of Elliptic Curves, (2004) Mathematisches Institut, Ludwig Maximillian Universität, Munich, Germany.

- RRT-Binpicking for Industrial Application, IEEE International Symposium on Assembly and Manufacturing (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 CeO
_{2}Loading on Al_{2}O_{3 }for CO Oxidation and the Reactivity of C_{3}H_{6}to the Optimum Loading (1998), De La Salle University, Manila, Philippines - 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 (see here)