Igor Shparlinski

ADDRESS

Department of Pure Mathematics
University of New South Walesy
NSW 2052
Australia
E-mail: igor.shparlinski@unsw.edu.au
Home page: http://web.maths.unsw.edu.au/~igorshparlinski/

PERSONAL

Date of birth: January 13, 1956
Place of birth: Kiev, Ukraine
Nationality: Australian

EDUCATION

AWARDS

GRANTS

EMPLOYMENT

2013-
Professor (Faculty of Science, UNSW);
2005-2013
Professor (Faculty of Science, Macquarie University)
2001-2004
Associate Professor (Division of Information and Communication Sciences, Macquarie University)
1996-2000
Senior Lecturer (Division of Information and Communication Sciences, Macquarie University)
1992-1995
Lecturer (School of Mathematics, Physics, Computing and Electronics, Macquarie University)
1990-1992
Senior Research Fellow in the International Centre for Scientific and Technical Information
1987-1992
Senior Lecturer (Moscow Institute of Radioengineering, Electronics and Automatics, Chair of Computer Science)
1977-1990
Senior Research Fellow (Laboratory of Computer Science, Institute of Radioengineering and Electronics of the Academy of Science of the USSR)
1980-1987
Lecturer (Moscow State Pedagogical Institute, Chair of Number Theory)

RESEARCH ACTIVITIES

Mainly I am interested in number theory, including its classical and more applied aspects. The main areas of my expertise where I believe I have achieved most important results and solved several long standing open questions. My knowledge and experience in number theory provide a background for applications to cryptography, theoretical computer science and coding theory. Using exponential sums, geometric number theory, sieve method and other number theoretic techniques, I established several important results. In a number of cases these results have given rigorous proofs of various heuristic assumptions in the above area. Examples include but are not limited to

PUBLICATIONS

Around 500 research papers have been published or accepted for publication in journals and refereed conference proceedings. Also, there are about 30 papers published in unrefereed conference proceedings, submitted, in preparation, and so on. A complete list of publications is available. I published and prepared for publication the following books
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 Symposium on Appl. Algebra, Algebraic Algorithms and Error-Correcting Codes, 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.
(with G. McGuire, G. L. Mullen and D. Panario, Editors) Finite fields: Theory and applications,, Amer. Math. Soc., 2010.
(with J. Borwein and W. Zudilin, Editors) Number theory and related fields, Springer Proceedings in Mathematics \& Statistics, vol. 43, Springer-Verlag, Berlin, 2013.
(with D. Kohel, Editors) Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures, Amer. Math. Soc., 2016.

OTHER PROFESSIONAL ACTIVITIES

VISITING APPOINTMENTS

INVITED LECTURES

Research Centres

Conferences

TEACHING

I have taught the following courses