Alina Ostafe
Address:
School of Mathematics and Statistics
The University of New South Wales
Sydney NSW 2052
Australia
Office: 4078, Red Centre
Telephone: +61 (02)93853976
Education

2010, PhD., Institute of Mathematics,
University of Zurich,
Switzerland
PhD Thesis: "Polynomial Dynamics and Pseudorandomness"
Supervisors: Prof. Joachim
Rosenthal
and Prof. Markus Brodmann
 2007, MSc.,
University of Bucharest,
Romania
 2005, Diploma,
Advanced Undergraduate Studies in Mathematics,
Scoala Normala Superioara Bucharest,
Romania
Employment

October 2016  : Lecturer,
School of Mathematics and Statistics,
The University of New South Wales, Sydney, Australia

October
2013  September 2016: Postdoc,
School of Mathematics and Statistics,
The University of New South Wales, Sydney, Australia

October
2010  September 2013: Postdoc,
Department of Computing, Macquarie University, Sydney, Australia

September
2007  September 2010: Research/Teaching Assistant,
Institute of
Mathematics, University of Zurich
 September
2005  present:
Research Assistant,
Institute of Mathematics
"Simion Stoilow"
of the Romanian Academy,
Bucharest, Romania
Areas of
Interest
 Algebraic dynamical systems over finite fields

Finite fields and their applications
 Sequences over finite fields
 Exponential and character sums
Curriculum Vitae
You can find more information in my CV.
Conference organisation
 March 28  April 2, 2016, Dynamics and Graphs over Finite Fields: Algebraic, Number Theoretic and Algorithmic Aspects, CIRM, Luminy
Organizers: M.C. Chang, J. von zur Gathen, A. Ostafe and F. Pappalardi
 February 2  6, 2015, Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems, UNSW, Sydney
Organisers: B. McKay, A. Ostafe, J. Roberts and I. Shparlinski
 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
 December 9  13, 2013, Finite fields and their applications, RICAM, Linz
Organizers: H. Niederreiter, A. Ostafe, D. Panario and I. Shaprlinski
 May 5  10, 2013, The Art of Iterating Rational Functions over Finite Fields, Banff
Organizers: N. Boston, A. Ostafe, I. Shparlinski, M. Zieve
Publications
 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, 501513.
 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, 501511.
 A. Ostafe,
Multivariate permutation
polynomial systems and
nonlinear pseudorandom number
generators,
Finite Fields and Their Appl.,
2010, 144154.
 A. Ostafe and I. E. Shparlinski,
Pseudorandom numbers and hash
functions
from iterations of multivariate polynomials,
Cryptography and Communications, 2010, v. 2, 4967.
 A. Ostafe
and I. E. Shparlinski,
On the length of critical orbits
of stable
quadratic
polynomials,
Proc. Amer. Math. Soc., 2010, v. 138, 26532656.
 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, 369379.
 A. Ostafe, E. Pelican and I. E. Shparlinski,
On pseudorandom numbers from multivariate polynomial systems,
Finite Fields and Their Appl., 2010, v.16, 320328.
 A. Ostafe and I. E.
Shparlinski,
Pseudorandomness and dynamics of Fermat quotients,
SIAM J. Discr. Math., 2011, v. 25, 5071.
 Z. Chen, A. Ostafe and A. Winterhof,
Structure of pseudorandom numbers derived from Fermat quotients,
Lect. Notes in Comp. Sci., SpringerVerlag,
Berlin, 2010, 7385.
 A. Ostafe,
Pseudorandom vector sequences derived from triangular polynomial systems with constant multipliers,
Lect. Notes in Comp. Sci., SpringerVerlag,
Berlin, 2010, 6272.
 A. Ostafe and I. E. Shparlinski,
Twisted exponential sums over points of elliptic curves,
Acta Arith., 2011, v. 148, 7792.
 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, 15571571.
 A. Ostafe and I. E. Shparlinski,
On the Waring problem with Dickson polynomials in finite fields,
Proc. Amer. Math. Soc., 2011, v.139, 38153820.
 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, 127142.
 A. Ostafe and I. E. Shparlinski,
Multiplicative Character Sums and Products of
Sparse Integers in Residue Classes,
Period. Math. Hungarica, 2012, v. 64, 247255.
 A. Ostafe and I. E. Shparlinski,
Exponential Sums over Points of
Elliptic curves with Reciprocals of Primes,
Mathematika, 2012, v. 58, 2133.
 A. Ostafe,
Pseudorandom vector sequences of maximal period generated by polynomial dynamical systems,
Designs, Codes and Cryptography, 2012, v. 63, 5972.
 A. Ostafe and I. E. Shparlinski, On the power generator and its multivariate analogue,
J. Complexity, 2012, v. 28, 238249.
 O. Ahmadi, F. Luca, A. Ostafe and I. E. Shparlinski, On stable quadratic polynomials,
Glasgow Math. J., 2012, v. 54, 359369.
 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, 825837.
 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, 131143.
 A. Ostafe, D. Thomson and A. Winterhof, On the Waring problem with
multivariate Dickson polynomials,
Finite fields and applications, Contemp. Math., 2012, v. 579, 153161.
 A. Ostafe and A. Winterhof, Some applications of character sums,
Handbook of Finite Fields, CRC Press, Eds. G. Mullen and D. Panario, 2013, 170185.
 A. Ostafe, Iterations of rational functions: Some algebraic and arithmetic aspects,
Finite Fields and Their Applications. Character Sums and Polynomials, De Gruyter, 2013, 19232.
 A. P. Nicolas, A. Ostafe, D. G. Perez and D. Sadornil, Stable polynomials over finite fields,
Revista Matematica Iberoamericana, 2014, v. 30, 523535.
 D. Gomez, A. Ostafe and I. E. Shparlinski, On irreducible divisors of iterated polynomials,
Revista Matematica Iberoamericana, 2014, 11231134.
 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, 15351550.
 D. GomezPerez, A. Ostafe and A. Topuzoglu, On the Carlitz rank
of permutations of $\F_p$ and pseudorandom sequences,
J. Complexity, 2014, v. 30, 279289.
 D. GomezPerez, J. Gutierrez and A. Ostafe, Collisions in compositions of triangular polynomial systems and
hash functions', J. Symb. Comp., 2016, v. 72, 182195.
 A. Ostafe and M. Sha, Counting dynamical systems over finite fields, Dynamics and Numbers 2014, Contemp. Math. (in press).
 A. Ostafe and M. Sha, On the quantitative dynamical MordellLang conjecture, J. Number Theory 2015, v. 156, 161182.
 A. Ostafe and M. Sha, Corrigendum to ``On the quantitative dynamical MordellLang conjecture" [J. Number Theory 156 (2015) 161182], J. Number Theory 2016, v. 164, 433437.
 A. Ostafe, Polynomial values in
affine subspaces of finite fields, Journal d'Analyse Mathematique (in press).
Preprints
A. Ostafe, On some extensions of the AilonRudnick 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. GomezPerez, 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
 UNSW Science Faculty Research Grant, 2016
 UNSW Science Faculty Research Grant, 2015
 Workshop AMSI/AustMSAMSI/ANZIAM funding, 2014
 UNSW ViceChancellor's Postdoctoral Fellowship, 20132016
 Swiss National Science Foundation Grant139679 for Advanced Researchers, 20122013
 Swiss National Science Foundation
Grant133399 for Prospective Researchers, 20102012
Teaching Experience
 July  October 2015: Finite Fields and Applications (jointly with I. Shparlinski and A. Zumalacarregui), UNSW, Sydney

February  May 2010: Design and conducting a Student Seminar
on Pseudorandom Sequences, University of Zurich, Switzerland

September 2009  December 2009: Elliptic Curves, University of Zurich, Switzerland
 February  May
2009: Linear Algebra II, University of Zurich, Switzerland
 September  December
2008: Linear
Algebra I, University of Zurich, Switzerland