Igor Shparlinski
ADDRESS
Department of Pure Mathematics
University of New South Walesy
NSW 2052
Australia
Email: 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
 M.S. in Mathematics, Moscow State Pedagogical Institute, 1977.
 Ph.D. in Mathematics, Moscow State Pedagogical Institute, 1980.
 Certificate in Higher Education, Centre for
Higher Education and Professional Development, Macquarie Univ., 1995.
AWARDS
 Discovery Outstanding Research Award, 2014.
 Jean Morlet Chair, CIRM, Luminy, 2014.
 Distinguished Professor, Macquarie University, 2010.
 Telecom Chair in Security of Telecommunications, ENSParis, 2010.
 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.
GRANTS
 Gold Star Grant of UNSW, 2016
 Large/Discovery Grants of the Australian Research Council, 19972017
 Theeman Travel Grant of the Israel Academy
of Science, 1999, 2007
 Grant of the Royal Society, UK, 2003
 Grant of the Spanish Ministry of Education, 2003
 Small Grants of the Australian Research Council, 19952001
 Special Travel Grant of the Australian Academy of Science, 1998, 2002
 Macquarie University Research Grants, 19922002
EMPLOYMENT
 2013
 Professor
(Faculty of Science, UNSW);
 20052013
 Professor (Faculty of Science,
Macquarie University)
 20012004
 Associate Professor (Division of Information and Communication Sciences,
Macquarie University)
 19962000
 Senior Lecturer (Division of Information and Communication Sciences,
Macquarie University)
 19921995
 Lecturer (School of Mathematics, Physics, Computing
and Electronics, Macquarie University)
 19901992
 Senior Research Fellow in the International Centre
for Scientific and Technical Information
 19871992
 Senior Lecturer (Moscow Institute of Radioengineering,
Electronics and Automatics, Chair of Computer Science)
 19771990
 Senior Research Fellow (Laboratory of Computer Science, Institute of
Radioengineering
and Electronics of the Academy of Science of the USSR)
 19801987
 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.
 Exponential sums, in particular I proved
an new bound on Gaussian sums which I also used to established
Stechkin's conjecture about these sums
 Arithmetic problems in finite fields. I obtained new results
about the distribution of primitive and irreducible polynomials in
finite fields. In particular,
I proved the existence of primitive and
irreducible polynomials with very small coefficients.
 Arithmetic properties of recurrence sequences. Such questions are
notoriously hard, for example even for the simplest binary recurrence sequences
such as $2^n+1$ and $2^n1$ we still do not know whether they
contain infinitely many primes. In many cases my results are still the
best known. More over, the technique I developed in my work on this subject
has been used for several other number theoretic problems.
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
 New fast rigorously proved algorithms for polynomial factorization
and finding irreducible polynomials and primitive roots in finite fields
 establishing the uniformity of distribution property and
high linear
complexity of the RSA, BlumBlumShub,
NaorReingold and inversive pseudorandom number generators, including
their elliptic
curve analogues;
 obtaining rigorous results about the socalled cycling
attack
on the RSA. This issue has been discussed in the literature quite extensively,
including several papers by Ron Rivest but before my work only heuristic arguments have been used;
 establishing socalled bit security of the DiffieHellman
key;
 rigorous attacks on DSA, NybergRueppel and
similar signature schemes.
 lower complexity bounds for the discrete logarithm problem.
 using equations in roots of unity to study spectral properties of
graphs, with applications to networking.
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 ErrorCorrecting
Codes, Melbourne, SpringerVerlag, 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,
SpringerVerlag, Berlin, 2013.
(with D. Kohel, Editors)
Frobenius Distributions: LangTrotter and SatoTate Conjectures,
Amer. Math. Soc., 2016.
OTHER PROFESSIONAL ACTIVITIES
 Editor Boards:
 J. of the Australian Mathematical Society (Aust. Math. Soc.);
 Finite Fields and their Applications (Elsevier);
 Designs, Codes and Cryptography (Springer);
 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).
 Organising and Chairing Conferences, Workshops, Competitions:
 Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems,
Sydney, Australia, 26 February, 2015;
 Thematic month "Arithmetics" at CIRMLuminy, 2 February  March, 2014;
 RICAM Workshop on
Emerging Applications of Finite Fields,
Linz, Austria, 913 December, 2013;
 BITMPIM Workshop on Number Theory and Cryptography, Max Planck Institute for Mathematics, Bonn, 20=21 November, 2013;
 Banff meeting on The Art of Iterating Rational Functions over Finite Fields,
Banff, Canada, 510 May, 2013;
 International
Workshop on Dynamical Systems and Number Theory in Memory of Alf van der Poorten,
Macquarie Univ., Sydney, Australia, 1920 March, 2012;
 International Number Theory Conference in Memory of Alf van der Poorten,
Univ. of Newcastle, Newcastle, Australia, 1216 March, 2012;
 AMSSIAM Special Session on Mathematics of Computation: Algebra and Number Theory,
Boston, MA, 48 January, 2012;
 AMSSIAM Special Session on Mathematics of Computation: Algebra and Number Theory,
New Orleans, LA, 69 January, 2011;
 Workshop on Dynamical Systems and Number Theory,
Macquarie Univ., Sydney, Australia, 1 December, 2010;
 Workshop on Dynamical Systems and Uniform Distribution,
Technical Univ. Graz, 2829 January, 2010;
 Fields Institute Program on Cryptography, Toronto, Canada, 2009;
 The 8th Algorithmic Number Theory Symposium, ANTS8,
Banff, Canada, 2008;
 Banff meeting on Number Theory Inspired by Cryptography,
Banff, Canada, 2005;
 Oberwolfach meeting on Finite Fields and their Applications,
Oberwolfach, Germany, 2004;
 The 14th Symposium on Applied Algebra,
Algebraic Algorithms, and ErrorCorrecting Codes, Melbourne, 2001;
 Oberwolfach meeting on Finite Fields and their Applications,
Oberwolfach, Germany, 2001;
 The Workshop on Computational Number Theory and Cryptography,
Singapore, 1999;
 The Conference on Finite Fields and their Applications,
Oberwolfach, Germany, 1997;
 The joint Workshop of Mathematical and Computer Departments
(Principal Organiser), Macquarie University,
Australia, 1995;
 The Student Competition "Information, Algorithms
and Data Structures" (Principal Organiser), Macquarie University,
Australia, 1995;
 The 2nd Conference on Computational Algebra
and Number Theory,
Macquarie Univ., Australia, 19941995;
 The Conference on Number Theoretic and
Algebraic Methods in Computer Science,
Moscow, Russia, 19921994.
 Program Committees
 The 11th Algorithmic Number Theory Symposium, ANTSIX,
GyeongJu, South, Korea 2014;
 Public Key Cryptography, PKC'12, 2012;
 Eurorypt'12, Cambridge, UK, 2012;
 The 22nd International Symposium on Algorithms and
Computation, ISAAC2011, Yokohama, Japan, 2011;
 The 27th Journees Arithmetiques, JA2011, Vilnius, Lithuania, 2011;
 Public Key Cryptography, PKC'10, Paris, France, 2010;
 The 9th Algorithmic Number Theory Symposium, ANTSIX,
Nancy, France, 2010;
 The 5th Latin American Theoretical Informatics
Conf., LATIN'10, Oaxaca, Mˇxico, 2010;
 The 2nd International Conference on Symbolic Computation and Cryptography, SCC'10, Egham, UK, 2010;
 The 5th Latin American Theor
 Finite Fields and Applications, F_q9, Dublin,
Ireland, 2009;
 Crypto'09, Santa Barbara, CA, 2009.
 Public Key Cryptography, PKC'09, Irvine, California, 2009.
 International Conference on Pairingbased Cryptography,
Pairing'08, London, UK, 2008.
 International Symposium on Symbolic and Algebraic Computation, ISSAC2008, Hagenberg, Austria, 2008.
 Finite Fields and Applications, F_q8, Melbourne, Australia, 2007;
 International Conference on Pairingbased Cryptography,
Pairing'07, Tokyo, Japan, 2007.
 International Workshop on the Arithmetic of Finite Fields,
WAIFI'07, Madrid, Spain, 2007
 Symposium on Algebraic Geometry and its Applications, SAGA 2007,
Tahiti, French Polynesia, 2007;
 Public Key Cryptography, PKC'07, Beijing, China, 2007;
 Eurocrypt'05, Aarhus, Denmark, 2005;
 The 9th Australasian Conference on Information Security and Privacy
(ACISP04), July 1315, Sydney, Australia, 2004;
 Eurocrypt'04, Interlaken, Switzerland, 2004;
 The 6th Algorithmic Number Theory Symposium, ANTSVI,
Annapolis, MD, US, 2004;
 The 5th Intern. Computing and Combinatorics Conf., COCOON'02,
Singapore, 2002;
 The 5th Latin American Theoretical Informatics
Conf., LATIN'02, Cancun, Mexico, 2002;
 Public Key Cryptography, PKC'02, Paris, France,2002;
 The 12th Intern. Symposium on Algorithms and Computation,
ISAAC'01, Christchurch, New Zealand, 2001.
 Computing: The Australasian Theory Symposium,
Brisbane, Australia, 2001;

Computing: The Australasian Theory Symposium, Canberra, Australia, 2000;
VISITING APPOINTMENTS
 Max Planck Institute for Mathematics, Bonn (0712/2013, 04/2016);
 University of Missouri at Columbia (12/2015, 02/2005, 10/2003, 0910/1999, 02/1998);
 University of Paris7 (09/2015)
 University of Waterloo
(05/2015, 05/2011, 09/2010, 09/2009, 01/2009, 05/2008, 03/2008, 02/2007, 07/2006, 01/2005, 08/2004, 09/1999);
 York University
(05/2015);
 CIRMLuminy, Marseille (027/2014);
 Johann Radon Inst. for Comp. and Applied Mathematics,
Linz (12/2013, 09/2007, 12/2006, 02/2006, 04/2005, 12/2004);
 Darthmouth College (05/2013);
 Seoul National University, South Korea (02/2013, 11/2009, 02/2008);
 Nanyang Technological University, Singapore (02/2013,
09/2011, 04/2011, 1011/2009, 02/2008, 02/2006);
 National University of Singapore (12/2012, 08/1998);
 Politechnic University of Catalonia, Barcelona (02/2012, 03/2007);
 University Autonoma of Madrid (02/2012, 04/2011, 03/2008);
 ENS, Paris (0102/2012, 0207/2010, 05/2003, 01/2001, 11/1999, 10/1996);
 Brigham Young University, Provo (02/2011);
 Royal Institute of Technology, Stockholm (09/2010, 06/1996)
 Mathematical Institute of the Czech Academy of Science (07/2010, 08/2008);
 University of Roma 3 (07/2010, 04/2002, 01/2000, 04/1998, 01/1998, 03/1996);
 Technical University of Graz (01/2010);
 Fields Institute, Toronto (09/2009, 05/2009, 09/2006);
 Claude Shannon Institute, University College Dublin (07/2009);
 Tsinghua University, Beijing (03/2009, 09/2006);
 EPFL, Lausanne (02/2009);
 Sogang University, South Korea (09/2008);
 Institute for Experimental Mathematics, Essen (08/2008, 11/2003);
 Institute of Mathematics, UNAM, Morelia, Mexico (11/2007, 10/2003, 03/2002);
 Concordia University, Montreal (10/2007, 08/2004, 02/2004, 08/1999);
 University of Toronto (09/2007, 04/2007, 03/2006, 11/2005, 08/2004,
01/2004, 08/2003, 12/2002, 0709/1999, 05/1997);
 Ecole Polytechnique, Paris (09/2007);
 University of Texas at Austin (04/2007);
 Technion, Haifa (03/2007, 12/1999, 12/1997);
 University of Cantabria, Santander (03/2007, 06/2004, 0507/2003, 0102/2003, 02/2000);
 Institute for Pure and Applied Mathematics at UCLA, Los Angeles (10/2006);
 Institute of Mathematics of the Taiwan
Acad. of Sci. (06/2006, 08/1998);
 Technical University of Denmark, Copenhagen (01/2006, 06/1996);
 University of French Polynesia, Papeete (04/2005);
 NEC Labs, New Jersey (09/2004);
 University of British Columbia, Vancouver (08/2004, 02/2004, 05/1997);
 Univ. of Connecticut (05/2004, 08/2002);
 Georgia Inst. of Technology, Atlanta (03/2004);
 Sabanci Univ., Istanbul (01/2004, 12/2001);
 Royal Holloway University of London (1012/2003, 0203/2003,
01/1998);
 University of East Anglia, Norwich, (10/2003, 05/1995);
 University of Oxford (0910/2003);
 RuhrUniversity Bochum (12/2002);
 Institute of Computational Mathematics, Pisa (04/2002, 01/1998);
 IMPA, Rio de Janeiro (01/2002);
 University of ParisSud (01/2001);
 NTRU Cryptosystems (09/2000);
 University of Chile, Santiago (04/2000);
 University of Paderborn (1012/1999, 0207/1996, 10/1994);
 Bonn University
(01/1999, 01/1997, 04/1996, 0102/1994);
 Institute of Mathematics of the Taiwan
Acad. of Sci. (08/1998);
 Queensland University of Technology (07/1998);
 Institute for Inform. Processing of
Austrian Acad. of Sci., Wien (01/1998, 07/1992);
 University of Western Australia (08/1997);
 University of Winnipeg (05/1997);
 University of Wisconsin at Milwaukee (04/1997);
 University of Georgia at Athens (01/1997);
 University of Aarhus (10/1996);
 Frankfurt University (07/1991);
 University of Turku (06/1996);
 Ulm University (04/1996);
 INRIA, Paris (04/1996);
 University of Saarlandes (03/1996);
 Technical University of Muenchen (02/1996);
 Penn State University (01/1996);
 University of Tasmania (01/1995, 11/1991);
 Macquarie University (1011/1991).
INVITED LECTURES
Research Centres
 Courant Institute, NY (01/2001, 02/1998, 5/2016);
 Nanyang Technological University, Singapore (10/2015);
 University of Bordeaux (09/2015, 06/2010);
 University of Paris7 (06/2014, 05/2010, 9/2007, 01/2001, 10/1996);
 ENS, Paris (06/2014, 02/2012);
 Univ. of Lorraine, (04/2014);
 Institut Henri Poincare, Paris, (03/2014, 02/2012);
 University of Heidelberg, (10/2013);
 National University of Singapore, (04/2012);
 ENS, Paris (02/2012, 06/2014);
 University of Auckland (12/2010);
 ENST, Paris (06/2010);
 University of Versailles (05/2010);
 Royal Holloway University of London (12/2009, 06/2008, 02/2005);
 University of Edinburgh (06/2009, 12/2003);
 McGill University, Montreal (05/2009, 08/2008);
 Kyushu University, Fukuoka (11/2008);
 Kinki University, Fukuoka (11/2008, 10/2005);
 Niigata University, Niigata (11/2008);
 Australia National University (10/2008, 04/1997);
 University of Vienna (08/2008);
 University of California at San Diego (06/2008);
 KIAS, South Korea (06/2008, 02/2008);
 University of Calgary (05/2008, 09/2004, 05/2003);
 MIT, Boston (04/2008, 09/2000);
 University Rey Juan Carlos, Madrid (04/2008, 03/2007);
 UCLA, Los Angeles (11/2007, 02/2002);
 University of Sfax, Tunisia (08/2007);
 Postgraduate Naval School, Monterey, California (04/2007);
 Institute for Experimental Mathematics, Essen (03/2007, 01/1997);
 Frankfurt University (02/2007, 01/1999, 06/1996);
 University of Kyoto (11/2006);
 Nara Women's University (10/2006);
 NTT Labs, Yokosuka (10/2006, 08/2005);
 Tokyo Institute of Technology (10/2006, 08/2005);
 University of Karlsruhe (09/2006, 12/2002);
 University of California at Santa Barbara (09/2005);
 Harvard University (09/2005);
 University of Nagoya (09/2005);
 University of Osaka (09/2005);
 University of Klagenfurt (04/2005);
 Technical University of Graz (04/2005, 12/2004);
 Queensland University of Technology (03/2005);
 Carleton University, Ottawa (01/2004);
 Queens's University, Kingston (01/2004, 09/1999);
 King's College, London (12/2003);
 University of Cardiff (11/2003);
 University of Oviedo (07/2003);
 CWI, Amsterdam (05/2003, 01/1999);
 University of Paderborn (05/2003, 12/2002);
 University of Bristol (02/2003);
 University of Glasgow (02/2003);
 University of San Paulo (02/2002);
 University of Campinas (01/2002);
 Middle Eastern Techn. Univ., NY (01/2002);
 IBM T. J. Watson Research Centre (09/2000, 05/1997);
 University of Valladolid (02/2000);
 University Autonoma of Barcelona (02/2000);
 University of Rovira and Virgili, Tarragona, Catalonia (02/2000);
 University Complutense of Madrid (01/2000);
 University of Solerno (01/2000);
 Hebrew University, Jerusalem (01/2000, 01/1998);
 Weizmann Institute (12/1999);
 University of Tel Aviv (12/1999, 12/1997);
 University of Agusburg (12/1999);
 University of Trier (11/1999, 01/1999);
 University of ErlangenNurmberg (10/1999, 02/1996);
 University of Western Ontario, London, ON (09/1999);
 International Computer Science Institute, Berkley (01/1999, 02/1998);
 University of Chicago, IL (01/1999, 4/1998);
 Bell Labs, New Jersey (01/1999, 02/1998);
 Rutgers University (10/1998);
 AT&T Research Labs (10/1998, 07/1997);
 University of Queensland (08/1998);
 University of Adelaide (06/1998);
 Stanford University (04/1998);
 Clark University, MA (04/1998);
 Buffalo University (02/1998);
 University of Wisconsin at Madison (02/1998);
 Oxford University (01/1998);
 University of Beer Sheva (12/1997);
 Curtin University of Technology of Western Australia (08/1997);
 Royal Melbourn Institute of Technology (08/1997);
 LaTrobe University at Bendigo (08/1997);
 University of Wellington (07/1997);
 Centre Commun. Research of the
Inst. for Defense Analyses (05/1997);
 University of Newcastle (03/1997);
 ETH, Zurich (05/1996);
 University of Saarlandes (07/1992).
Conferences
 Number Theory Down Under,
Univ. of Newcastle, Newcastle, Australia (10/2016);
 Integers Conference,
Univ. of West Georgia, Hannover (10/2016);
 Conference on Elementary and Analytic Number Theory
Strobl, Austria (09/2016);
 Analytic Number Theory and Diophantine Geometry,
Leibniz Univ., Hannover (09/2015);

Elementary, analytic, and algorithmic number theory:
Research inspired by the mathematics of Carl Pomerance,
Univ. of University of Georgia, Athens, GA (06/2015);
 Number Theory Down Under,
Univ. of Newcastle, Newcastle, Australia (10/2014);
 Statistics and Number Theory September,
CRM, Montreal (09/2014);
 Program of Dynamics and Numbers,
Max Planck Institute for Mathematics, Bonn (06/2014);
 Workshop on Polynomials over Finite Fields,
CRM, Barcelona (05/2014);
 Heights in Diophantine geometry, group theory and additive combinatorics,
Erwin Schroedinger International Institute for Mathematical Physics, Vienna (11/2013);
 Oberwolfach Meeting on Analytic Number Theory,
Oberwolfach, Germany (10/2013);
 Erdos Centennial Conference,
Budapest, Hungary (07/2013);
 International Workshop on
Finite Fields and Their Applications,
Strobl, Austria (09/2012);
 Quantum Cryptanalysis
International Conference and Research Centre for
Computer Science, Schloss Dagstuhl, Germany (09/2011);
 International Conference on Applied Mathematics, Modeling and Computational Science,
Waterloo, Ontario, Canada (07/2011);
 2nd International Conference on
Uniform Distribution Theory,
Strobl, Austria (07/2010);
 Diophantine Approximation and Analytic Number Theory: A Tribute to Cam Stewart,
Banff, Canada (06/2010);
 Conference Jo60: A Modern Computer Algebraist:
Celebrating the Research and Influence of Joachim von zur Gathen at 60,
Bonn, Germany (05/2010)
 Workshop on Counting Points: Theory, Algorithms and Practice,
CRM, Montreal (04/2010);
 Workshop on Computer Security and Cryptography,
CRM, Montreal (04/2010);
 Workshop on Graphs and Arithmetic,
CRM, Montreal (03/2010);
 Conference on The Diverse Faces of Arithmetic,
Norwich, UK (12/2009);
 Workshop on Quantum
Algorithms and Complexity Theory,
Singapore (11/2008);
 Workshop on Mathematical Cryptography,
Santander, Spain (10/2008);
 Summer School on Cryptography,
Bonn, Germany (07/2008);
 8th Central European Conference on
Cryptography,
Graz, Austria (07/2008);
 3rd Summer Workshop on Cryptography,
Seoul, South Korea (06/2008);
 NATO Advanced Study Institute:
New Challenges in Digital Communications,
Vlora, Albania (04/2008);
 Oberwolfach Meeting on Analytic Number Theory,
Oberwolfach, Germany (03/2008);
 International Conference on Algebraic Geometry and Coding Theory,
Luminy, France (11/2007);
 10th Elliptic Curve Cryptography Workshop,
Toronto, Canada (09/2006);
 4th ChinaJapan Conference on Number Theory,
Weihai, China (08/2006);
 Workshop on Mathematical Cryptography,
Santander, Spain (06/2006);
 Workshop on Boolean Functions,
International Conference and Research Centre for
Computer Science, Schloss Dagstuhl, Germany (03/2006);
 Diophantine Analysis and Related Fields,
Yokohama, Japan (03/2006);
 Summer School on Recent Trends in Cryptography,
Santander, Spain (07/2005);
 Workshop and Algebraic Dynamics,
UNSW, Sydney (02/2005);
 8th Elliptic Curve Cryptography Workshop,
Bochum, Germany (09/2004);
 36th Congress of the Mexican Mathematical Society,
Pachuca, Mexico (10/2003);
 Workshop on Mathematics of Cryptology,
Leiden, The Netherlands (09/2003);
 Joint Meeting of the American and Spanish
Mathematical Societies, RIMSAMS'03,
Seville, Spain (07/2003);
 Fields Institute Conference in Number Theory in
Honour of Prof. H.C. Williams,
Banff, Alberta (05/2003);
 15th International Symposium on Applied Algebra, Algebraic Algorithms
and ErrorCorrecting Codes (AAECC15),
Toulouse, France (05/2003);
 Short Course on Cryptography, Amer. Math. Soc.,
Baltimore, MD (01/2003);
 The 7th Spanish Meeting on Cryptology and Information
Security,
Oviedo, Spain (09/2002);
 Workshop on Mathematical Foundations of Coding
Theory and Cryptology,
Singapore (07/2001);
 The 6th International Conference on Finite Fields and their
Applications,
Oaxaca, Mexico (05/2001);
 International Conference on Finite Fields and their Applications,
Oberwolfach, Germany (01/2001);
 Workshop on Cryptography and
Computational Number Theory,
Singapore, (11/1999);
 Missouri Algebra Weekend,
Columbia, Missouri, USA (10/1999);
 Workshop on Algorithms and Number Theory,
International Conference and Research Centre for
Computer Science,
Schloss Dagstuhl, Germany (10/1998);
 The 3rd Conference on Computational Algebra
and Number Theory,
Sydney, Australia, (12/1997);
 International Conference on Finite Fields and their Applications,
Oberwolfach, Germany (01/1997);
 Cryptography Workshop at CWI,
Amsterdam, The Netherlands, (05/1996);
 The 3rd International Conference on Finite Fields and their
Applications,
Glasgow, UK (07/1995);
 Workshop on Algorithms and Number Theory,
International Conference and Research Centre for
Computer Science, Schloss Dagstuhl, Germany (10/1998);
 Workshop on Algebraic Complexity and Parallelism,
Schloss Dagstuhl, Germany (07/1992);
 International Conference on Analytic and Probabilistic Methods
in Number Theory,
Palanga, Lithuanian, (09/1991);
 FrenchSoviet Workshop on Coding Theory,
Paris, France (07/1991);
 International Conference on Algebraic Geometry and Coding Theory,
Luminy, France (06/1991);
 International Conference on Computer Algebra in Physical Researches,
Dubna, USSR (07/1990);
 AllUnion Conference on Constructive Methods and Algorithms
of Number Theory,
Minsk, USSR (09/1989);
 AllUnion Conf. on Trancendental Numbers and their Applications,
Moscow, USSR (10/1983).
TEACHING
I have taught the following courses
 Algorithm Theory and Design;
 Algorithms and Data Structures;
 Cryptography;
 Optimisation;
 Computer Graphics;
 Numerical Analysis;
 Algebraic and Symbolic Computation;
 Foundations of Computer Science;
 Introduction to C ;
 Computer Architecture.