Alina Ostafe

Address:

Office: E6A 385

Email: alina.ostafe@mq.edu.au

Telephone: +61 (02)98509515

Education

• PhD., September 2007 - July 2010, PhD Thesis "Polynomial Dynamics and Pseudorandomness", Defended 26 July 2010,
  Institute of Mathematics, University of Zurich, Switzerland
  Supervisors: Prof. Joachim Rosenthal and Prof. Markus Brodmann
• MSc., Mathematics, June 2007, University of Bucharest, Romania
  
• Diploma, Mathematics, November 2005, Scoala Normala Superioara Bucharest, Romania
  
• B.Sc., Mathematics and Informatics, June 2005, Ovidius University, Constanta, Romania
  

Employment

• October 2013 - October 2015: Postdoc,
  School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia
• October 2010 - October 2013: Postdoc,
  Department of Computing, Macquarie University, Sydney, Australia
• September 2007 - September 2010: Research/Teaching Assistant,
  Institute of Mathematics, University of Zurich
• September 2006 - present: Research Assistant,
  Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest, Romania
• June 2005 - September 2006, Junior Research Assistant
  Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest, Romania

Areas of Interest

• Algebraic dynamical systems over finite fields and their applications
• Sequences over finite fields
• Pseudorandom number generators
• Finite fields and their applications
• Exponential and character sums
• Applications to cryptography

Conference organisation

• May 5 - 10, 2013, The Art of Iterating Rational Functions over Finite Fields, Banff
  Organizers: N. Boston, A. Ostafe, I. Shparlinski, M. Zieve
• December 9 - 13, 2013, Finite fields and their applications, RICAM, Linz
  Organizers: H. Niederreiter, A. Ostafe, D. Panario and I. Shaprlinski
• May 19 - 23, 2014, Polynomials over Finite Fields: Functional and Algebraic Properties, CRM, Barcelona
  Organizers: J. von zur Gathen, J. Gutierrez, A. Ostafe, D. Panario, A. Topuzoglu

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, (in press).
21. A. Ostafe, D. Thomson and A. Winterhof, On the Waring problem with multivariate Dickson polynomials, Finite fields and applications, Contemp. Math., (in press).
22. 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., (in press).
23. A. Ostafe and A. Winterhof, Some applications of character sums, Handbook of Finite Fields, CRC Press, Eds. G. Mullen and D. Panario (in press).
24. A. Ostafe, Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects, Finite Fields and Their Applications. Character Sums and Polynomials, De Gruyter, (in press).
25. D. Gomez, A. Ostafe and I.~E.~Shparlinski, On irreducible divisors of iterated polynomials, Revista Matematica Iberoamericana, (in press).
26. A. P. Nicolas, A. Ostafe, D. G. Perez and D. Sadornil, Stable polynomials over finite fields, Submitted.
27. D. Gomez, A. Ostafe and I. E. Shparlinski, Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators, Submitted.

Research Support

• UNSW Vice-Chancellor's Postdoctoral Fellowship, 2013-2015
• Swiss National Science Foundation Grant-139679, 2012-2013
• Swiss National Science Foundation Grant-133399, 2010-2012
• Swiss National Science Foundation Grant-121874, 2008-2010

Teaching Experience

• February 2010--May 2010: Design and conducting a Student Seminar on Pseudorandom Sequences
• September 2009--December 2009: Elliptic Curves
• February 2009--May 2009: Linear Algebra II
• September 2008--December 2008: Linear Algebra I