Igor Shparlinski

Professor Igor Shparlinski is a faculty member at the University of New South Wales (UNSW) within the School of Mathematics & Statistics, holding the rank of Professor with an active research profile as evidenced by publications dated 2025. His work bridges pure number theory and cryptographic applications, maintaining international collaborations with institutions like the University of Sydney and Max Planck Institute.

Research interests include:

• Analytic number theory (exponential/character sums)
• Cryptographic security (Diffie-Hellman, RSA, and pseudorandom generators)
• Finite field arithmetic and polynomial dynamics
• Arithmetic combinatorics and additive number theory
• Distribution of primes/smooth numbers modulo p
• Elliptic curve structures over finite fields

His publications consistently address foundational problems with computational implications, particularly focusing on sum bounds and modular arithmetic.

Recent trends (2023-2025) show intensified work on multilinear character sums, matrix statistics over finite fields, and dynamical system orbits. Key journals include Journal of Number Theory and Finite Fields and their Applications, with frequent co-authorship on exponential sum bounds and cryptographic vulnerabilities.

Scientific awards:

• No awards, prizes, or fellowships are documented in the provided text.

Advising and grants:

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• Research output suggests sustained funding but lacks explicit details.