Alina Ostafe

Address:

School of Mathematics and Statistics
The University of New South Wales
Sydney NSW 2052
Australia

Office: 4078, Red Centre

Email: alina.ostafe@unsw.edu.au

Telephone: +61 (02)93853976


Education

Employment

Areas of Interest

Curriculum Vitae

Conference organisation

Publications

  1. R. Ferguson, C. Hoffman, F. Luca, A. Ostafe and I. E. Shparlinski, Some additive combinatorics problems in matrix rings, Revista Matematica Complutense, 2010, v.23, 501-513.
  2. A. Ostafe and I. E. Shparlinski, On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators, Math. Comp., 2010, v. 79, 501-511.
  3. A. Ostafe, Multivariate permutation polynomial systems and nonlinear pseudorandom number generators, Finite Fields and Their Appl., 2010, 144-154.
  4. A. Ostafe and I. E. Shparlinski, Pseudorandom numbers and hash functions from iterations of multivariate polynomials, Cryptography and Communications, 2010, v. 2, 49-67.
  5. A. Ostafe and I. E. Shparlinski, On the length of critical orbits of stable quadratic polynomials, Proc. Amer. Math. Soc., 2010, v. 138, 2653-2656.
  6. A. Ostafe, I. E. Shparlinski and A. Winterhof, On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences, Adv. in Math. of Communications, 2010, v.4, 369-379.
  7. A. Ostafe, E. Pelican and I. E. Shparlinski, On pseudorandom numbers from multivariate polynomial systems, Finite Fields and Their Appl., 2010, v.16, 320-328.
  8. A. Ostafe and I. E. Shparlinski, Pseudorandomness and dynamics of Fermat quotients, SIAM J. Discr. Math., 2011, v. 25, 50-71.
  9. Z. Chen, A. Ostafe and A. Winterhof, Structure of pseudorandom numbers derived from Fermat quotients, Lect. Notes in Comp. Sci., Springer-Verlag, Berlin, 2010, 73-85.
  10. A. Ostafe, Pseudorandom vector sequences derived from triangular polynomial systems with constant multipliers, Lect. Notes in Comp. Sci., Springer-Verlag, Berlin, 2010, 62-72.
  11. A. Ostafe and I. E. Shparlinski, Twisted exponential sums over points of elliptic curves, Acta Arith., 2011, v. 148, 77-92.
  12. A. Ostafe, I. E. Shparlinski and A. Winterhof, Multiplicative character sums of a class of nonlinear recurrence vector sequences, Intern. J. Number Theory, 2011, v.7, 1557-1571.
  13. A. Ostafe and I. E. Shparlinski, On the Waring problem with Dickson polynomials in finite fields, Proc. Amer. Math. Soc., 2011, v.139, 3815-3820.
  14. S. R. Blackburn, A. Ostafe and I. E. Shparlinski, On the distribution of the subset sum pseudorandom number generator on elliptic curves, Unif. Distrib. Theory, 2011, v. 6, 127-142.
  15. A. Ostafe and I. E. Shparlinski, Multiplicative Character Sums and Products of Sparse Integers in Residue Classes, Period. Math. Hungarica, 2012, v. 64, 247-255.
  16. A. Ostafe and I. E. Shparlinski, Exponential Sums over Points of Elliptic curves with Reciprocals of Primes, Mathematika, 2012, v. 58, 21-33.
  17. A. Ostafe, Pseudorandom vector sequences of maximal period generated by polynomial dynamical systems, Designs, Codes and Cryptography, 2012, v. 63, 59-72.
  18. A. Ostafe and I. E. Shparlinski, On the power generator and its multivariate analogue, J. Complexity, 2012, v. 28, 238-249.
  19. O. Ahmadi, F. Luca, A. Ostafe and I. E. Shparlinski, On stable quadratic polynomials, Glasgow Math. J., 2012, v. 54, 359-369.
  20. J. Cilleruelo, M. Z. Garaev, A. Ostafe and I. E. Shparlinski, On the concentration of points of polynomial maps and applications, Mathematische Zeitschrift, 2012, v. 272, 825-837.
  21. A. Ostafe and I. E. Shparlinski, Degree growth, linear independence and periods of a class of rational dynamical systems, Arithmetic, Geometry, Cryptography and Coding Theory 2010, Contemp. Math., 2012, v. 574, 131-143.
  22. A. Ostafe, D. Thomson and A. Winterhof, On the Waring problem with multivariate Dickson polynomials, Finite fields and applications, Contemp. Math., 2012, v. 579, 153-161.
  23. A. Ostafe and A. Winterhof, Some applications of character sums, Handbook of Finite Fields, CRC Press, Eds. G. Mullen and D. Panario, 2013, 170--185.
  24. A. Ostafe, Iterations of rational functions: Some algebraic and arithmetic aspects, Finite Fields and Their Applications. Character Sums and Polynomials, De Gruyter, 2013, 19-232.
  25. A. P. Nicolas, A. Ostafe, D. G. Perez and D. Sadornil, Stable polynomials over finite fields, Revista Matematica Iberoamericana, 2014, v. 30, 523-535.
  26. D. Gomez, A. Ostafe and I. E. Shparlinski, On irreducible divisors of iterated polynomials, Revista Matematica Iberoamericana, 2014, 1123-1134.
  27. D. Gomez, A. Ostafe and I. E. Shparlinski, Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators, Math. Comp., 2014, v. 83, 1535-1550.
  28. D. Gomez-Perez, A. Ostafe and A. Topuzoglu, On the Carlitz rank of permutations of $\F_p$ and pseudorandom sequences, J. Complexity, 2014, v. 30, 279-289.
  29. D. Gomez-Perez, J. Gutierrez and A. Ostafe, Collisions in compositions of triangular polynomial systems and hash functions', J. Symb. Comp., 2016, v. 72, 182-195.
  30. A. Ostafe and M. Sha, Counting dynamical systems over finite fields, Dynamics and Numbers 2014, Contemp. Math. (in press).
  31. A. Ostafe and M. Sha, On the quantitative dynamical Mordell-Lang conjecture, J. Number Theory 2015, v. 156, 161-182.
  32. A. Ostafe and M. Sha, Corrigendum to ``On the quantitative dynamical Mordell-Lang conjecture" [J. Number Theory 156 (2015) 161-182], J. Number Theory 2016, v. 164, 433-437.
  33. A. Ostafe, Polynomial values in affine subspaces of finite fields, Journal d'Analyse Mathematique (in press).

Preprints

  • A. Ostafe, On some extensions of the Ailon-Rudnick Theorem, Preprint 2015.
  • C. D'Andrea, A. Ostafe, M. Sombra and I. Shparlinski, Modular reduction of systems of polynomial equations and algebraic dynamical systems, Preprint 2015.
  • D. Gomez-Perez, A. Ostafe and M. Sha, The arithmetic of consecutive polynomial sequences over finite fields, Preprint 2015.
  • A. Ostafe, On roots of unity in orbits of rational functions, Preprint 2016.

    Grants

    Teaching Experience