Arkadius G. Kalka

E-mail: Arkadius.Kalka (et) rub.de Location: Dortmund, Germany Curriculum Vitae (in German)

2008 in Bar-Ilan

2010 in Montreal

2018 in Dortmund

2022 in Dortmund

(Former) Collaborations: Sonja Kuhnt, Boaz Tsaban, Mina Teicher, Benjamin Burton. Murray Elder.

Links:
German-Israeli Workshop in Algebraic and Tropical Geometry (January 2016)
Department of Mathematics at the Bar-Ilan University in Ramat Gan, Israel.
IMAGINARY Israel.
BIU Colloquium on Combinatorial Group theory and Cryptography (CGC) (2007--2014)

• Statistical Comparison of Processing Different Powder Feedstock in an HVOF Thermal Spray Process (with Wolfgang Tillmann, Sonja Kuhnt, Ingor Baumann, Eva-Christina Becker-Emden and Alexander Brinkhoff), Journal of Thermal Spray Technology 31 (2022), 1476-1489.
• Effect of the spray parameters on the particle behaviour and the coating properties during ID warm spraying of fine WC-12Co powders (-10 + 2 μm) (with W. Tillmann, I. Baumann, A. Brinkhoff, S. Kuhnt, and E.-C. Becker-Emden), In: Thermal Spray 2021 Proceedings from the International Thermal Spray Conference ITSC2021, 283-289.
• Global Sensitivity Analysis for the Interpretation of Machine Learning Algorithms (with Sonja Kuhnt), In: Ansgar Steland, Kwok-Leung Tsui (eds.) Artificial Intelligence, Big Data and Data Science in Statistics - Challenges and Solutions in Environmetrics, the Natural Sciences and Technology, 1st ed. 2022, Springer.
• The numerical statistical fan for noisy experimental designs (with Sonja Kuhnt), submitted to Algebraic Statistics, under Review. Preprint: arxiv.org/abs/2005.04051
• Power commutator groups, Preprint (2015): arxiv.org/abs/1510.02286
• Cryptanalysis via algebraic spans (with Adi Ben-Zvi and Boaz Tsaban), In: Shacham, H., Boldyreva, A. (eds.), Advances in Cryptology - CRYPTO 2018 Lecture Notes in Computer Science 10991, Springer, Cham. pp 255--274. Preprint: eprint.iacr.org/2014/041.pdf
• 2-manifold recognition is in logspace (with Benjamin Burton, Murray Elder, and Stephan Tillmann), Journal of Computational Geometry 7, no. 1 (2016), 70-85. Preprint: arxiv.org/abs/1412.1188
• On the Double Coset Problem for parabolic subgroups in braid groups (with Mina Teicher and Boaz Tsaban), Preprint: arxiv.org/abs/1402.5541
• Complete simultaneous conjugacy invariants in Artin's braid groups (with Boaz Tsaban and Gary Vinokur), Preprint: arxiv.org/abs/1403.4622
• Non-associative key establishment protocols and their implementation (with Mina Teicher), Contemporary Mathematics 677 (2016), 113-128, Preprint: arxiv.org/abs/1312.6794
• Double centralizers for parabolic subgroups of braid groups (with David Garber, Eran Liberman, and Mina Teicher), Preprint: arxiv.org/abs/1310.0936
• Logspace-computations for Garside groups of spindle type (with Murray Elder), Preprint: arxiv.org/abs/1310.0933
• Logspace-computations for rigid Garside groups (with Murray Elder), Preprint: arxiv.org/abs/1310.0933v1
• Non-associative key establishment for leftdistributive systems (with Mina Teicher), Groups -- Complexity -- Cryptology 5, no. 2 (2013), 169-191.
• Non-associative public-key cryptography, Contemporary Mathematics 677 (2016), 85-112. Preprint: arxiv.org/abs/1210.8270
• Complexity of relations in the braid group (with Joel Hass and Tahl Nowik), Preprint: arXiv.org/abs/0906.0137
• Solution to the subgroup conjugacy problem for Garside subgroups of Garside groups (with Eran Liberman and Mina Teicher),
  Groups -- Complexity -- Cryptology, Volume 2, no. 2 (2010), pp. 157-174.
• A note on the shifted conjugacy problem in braid groups (with Eran Liberman and Mina Teicher),
  Groups -- Complexity -- Cryptology, Volume 1, no. 2 (2009), 227-230.
• Improved linear time inversion heuristic for the Burau representation, Preprint 2008, to be changed, extended and re-submitted.
• Short expressions of permutations as products and cryptanalysis of the Algebraic Eraser (with Mina Teicher and Boaz Tsaban),
  Advances in Applied Mathematics, Volume 49, issue 1 (July, 2012), p. 57-76. Preprint: arxiv.org/abs/0804.0629
• Representations of braid groups and braid-based cryptography pdf,
  PhD thesis at Ruhr-Universität Bochum, submitted: May 9th 2007. Doctoral examination: July 6th 2007 (Magna cum laude). Advisor: Prof. L. Gerritzen.
• Representation attacks on the braid Diffie-Hellman public key encryption,
  Applicable Algebra in Engineering, Communication and Computing 17 (2006), 257-266.