Martin Juráš

Presentations

• Authors: M. Juras, F. Marko, and A. Zubkov; Presenter: F. Marko, "Public key cryptosystem based on invariants," International Conference on Representations of Algebras and Related Topics, Northeastern University, Boston, May 1, 2017.
• Authors: M. Juras, F. Marko, and A. Zubkov; Presenter: F. Marko, "Public-key cryptosystem based on invariants of diagonalizable groups," 16th Central European Conference on Cryptography, Slovak Academy of Sciences, Bratislava, Piestany, Slovakia, June 23, 2016.
• Authors: M. Juras, F. Marko, and A. Zubkov; Presenter: F. Marko, "Public-key cryptosystem based on invariants of diagonalizable groups," ARC 16, Qatar Foundation Annual Research Conference, Doha, March 22-23, 2016. Health Sciences and Mathematics, in the "Distinguished Lecture Series," University of Calgary in Qatar, May 25, 2015.
• "Eisenstein-Dumas criterion and the action of 2×2 nonsingular triangular matrices on polynomials in one variable," 2015 Southern Regional Algebra Conference (SRAC 2015), University of Louisiana at Lafayette, Lafayette, La., March 13–15, 2015.
• "Public-key cryptosystem based on invariants, invited poster presentation," ARC 14, Qatar Foundation Annual Research Conference, Doha, Nov. 18–19, 2014.
• "GL(2)action on binary forms and Eisenstein–Dumas criterion," 2014 Southern Regional Algebra Conference (SRAC 2014), Auburn University, Montgomery, Ala., April 25–27, 2014.
• "Actuarial science: Awareness and opportunities," Department of Mathematics, King Saud University, Riyadh, Saudi Arabia, April 15, 2014.
• "Invariant versions of Eisenstein criterion of irreducibility," Department of Mathematics, King Saud University, Riyadh, Saudi Arabia, April 14, 2014.
• "Eisenstein's criterion and its generalizations, invited presentation," 2013 CARG Workshop, Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Al Khobar, Saudi Arabia, April 28, 2013.
• "Invariant approach to Eisenstein–Dumas Criterion of Irreducibility," AMS Session on Polynomials, Field Theory, and Factorizations, Joint AMS and MAA Mathematics Meetings, San Diego Convention Center and San Diego Marriott Hotel and Marina, San Diego, Calif., Jan. 9–12, 2013.
• "Hausdorff topology on infinite nilpotent rings," XXXI Ohio State-Denison Mathematics Conference, The Ohio State University, Columbus, Ohio, May 25–27, 2012.
• "A note on nilpotent topological rings," 22nd International Conference on Nearrings, Nearfields, and Related Topics, Southeastern Louisiana University, Hammond, La., July 25–29, 2011.
• "Connections between commuting probabilities in groups and rings," 8th UAE Math Day, Zayed University, Abu Dhabi, UAE, April 3, 2010.
• "Connections between commuting probabilities in groups and rings," Southern Regional Algebra Conference, Auburn University, Montgomery, Ala., March 26–28, 2010.
• "Trivializing and commuting probabilities in finite rings," First Joint International Meeting of the AMS and the Korean Mathematical Society, Special Session on Noncommutative Ring Theory, Ewha Womens' University, Seoul, Korea, Dec. 16–20, 2009.
• "A fresh look at Darboux integrability for hyperbolic second-order differential equation in the plane," Special Session on Geometry of Differential Equations, AMS 2009 Spring Southeastern Section Meeting, Raleigh, N.C., April 4–5, 2009.
• "Commuting probability in rings," Southern Regional Algebra Conference, University of South Alabama, Mobile, Ala., March 20–22, 2009.
• "On commuting probability in rings," 6th UAE Math Day, Petroleum Institute, Abu Dhabi, UAE, April 26, 2008.

Publications

• "Public-key cryptosystem based on invariants of diagonalizable groups” (with F. Marko and A. Zubkov), Groups, Complexity and Cryptology 9, No.1, 31–54, 2017.
• "Iterative scheme for an elliptic non-local free boundary problem" (with R. Barkhudaryan and M. Salehi), Applicable Analysis, Vol. 96, 2794–2806, 2016.
• "A note on Incomplete Generating Languages," Int. Jour. Math. & Comp., 24(3), 77–88, 2014.
• "Notes on topological rings" (with M. Ursul), Carpathian J. Math., 29(2), 267–273, 2013.
• "Topological rings of endomorphisms" (with M. Ursul), Communications in Algebra, 38(4), 1421–1435, 2010.
• "Eisenstein-Dumas criterion for irreducibility of polynomials and projective transformations of the independent variable," JP Jour, Algebra, Number Theory, and Appl., 6(2), 221–236, 2006.
• "A note on Eisenstein's criterion for irreducibility of polynomials," JP Jour. Algebra, Number Theory, and Appl., 5(3), 603–608, 3, 2005.
• "A combinatorial conjecture and the inverse problem of the calculus of variations," Proceedings of the 4th Annual Hawaii International Conference on Statistics, Mathematics, and Related Fields, Waikiki, Hawaii, pp. 346–352, Jan. 9–11, 2005.
• "Equations in involution with a scalar second-order hyperbolic equation in the plane," Proceedings of the 2002 WSEAS International Conference on System Science, Applied Mathematics and Computer Science, Rio de Janeiro, Brazil, pp. 2341–2346, Oct. 21–23, 2002.
• "Variational symmetries and lie reduction for Frobenius systems of even rank," Proceedings of the Fourth International Conference on Geometry, Integrability, and Quantization (ISSN954-90618-4-1), Varna, Bulgaria, I. M. Mladenov and G. L. Naber, eds., Coral Press, pp. 178–192, June 6–15, 2002.