Igor Shparlinski

Professor	Member of Centre for Advanced Computing - Algorithms and Cryptography

How to contact me

Open PhD position for research in Mathematics of Cryptography

Education

• M.S. in Mathematics, 1977; Moscow State Pedagogical Institute
• Ph.D. in Mathematics, 1980; Moscow State Pedagogical Institute

Awards

• Fellow of the Australian Academy of Science, 2006
• Australian Professorial Fellow, 2004.
• Fellow of the Australian Mathematical Society, 2000.
• Richard Miller Visiting Scholar in Mathematics (University of Missouri), 1999.
• Medal of the Australian Mathematical Society, 1996.
• Humboldt Professorship, DFG, Germany, 1996.

Areas of Interest

• Cryptography: number theoretic aspects, elliptic curve cryptography, pseudorandom number generators
• Number Theory: exponential and character sums, finite fields, smooth numbers, linear recurrence sequences
• Theoretical Computer Science: algorithms, complexity
• Quantum Computation: number theoretic and combinatorial aspects

Problems on Exponential and Character Sums

Editorial Duties

• J. of the Australian Mathematical Society (Aust. Math. Soc.);
• Finite Fields and their Applications (Elsevier);
• SIAM J. Computing (SIAM);
• Mathematics of Computation (Amer. Math. Soc.);
• J. Mathematical Cryptology (Walter de Gruyter);
• Revista Matematica Complutense (Madrid);
• Contributions to Discrete Mathematics (Univ. of Calgary).

My Publications

• Computational and algorithmic problems in finite fields, Kluwer Academic Publishers, 1992.
• (with A. J. van der Poorten and H. G. Zimmer, Editors) Proceedings of The Conference on Number Theoretic and Algebraic Methods in Computer Science, World Scientific, 1995
• Finite fields: Theory and computation, Kluwer Academic Publishers, 1999.
• Number theoretic methods in cryptography: Complexity lower bounds, Birkhauser, 1999.
• (with S. Konyagin) Character sums with exponential functions and their applications, Cambridge Univ. Press, Cambridge, 1999.
• (with K.-Y. Lam, H. Wang and C. Xing, Editors) Proc. Workshop on Cryptography and Computational Number Theory (CCNT'99), Singapore, Birkhauser, 2001.
• (with S. Boztas, Editors) Proc. 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC-14), Melbourne, Springer-Verlag, Berlin, 2001.
• Cryptographic applications of analytic number theory, Birkhauser, 2003.
• (with G. Everest, A. J. van der Poorten and T. Ward) Recurrence sequences, Amer. Math. Soc., 2003.
• (with G. L. Mullen and D. Panario, Editors) Finite Fields and Applications, Amer. Math. Soc., 2008.

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