September 30 - October 3, 2019, Number Theory Down Under 7, UNSW Sydney
(joint with J. Roberts, I. Shparlinski and L. Zhao)
March 28 - April 2, 2016, Dynamics and Graphs over Finite Fields: Algebraic, Number Theoretic and Algorithmic Aspects, CIRM, Luminy
(joint with M.-C. Chang, J. von zur Gathen and F. Pappalardi)
May 19 - 23, 2014, Polynomials over Finite Fields: Functional and Algebraic Properties, CRM, Barcelona
(joint with J. von zur Gathen, J. Gutierrez, D. Panario, A. Topuzoglu)
December 9 - 13, 2013, Finite fields and their applications, RICAM, Linz
(joint with H. Niederreiter, D. Panario and I. Shaprlinski)
May 5 - 10, 2013, The Art of Iterating Rational Functions over Finite Fields, BIRS, Banff
(joint with N. Boston, I. Shparlinski and M. Zieve)
A. Ostafe and I. E. Shparlinski, Orbits of
Algebraic Dynamical Systems in Subgroups and Subfields, Number Theory - Diophantine problems, uniform distribution and applications,
Festschrift in Honour of Robert F. Tichy's 60th Birthday, Springer, 2017, 347-368.
D. Gomez-Perez, J. Gutierrez and A. Ostafe, Common composites of triangular polynomial systems and
hash functions, J. Symb. Comp., 2016, v. 72, 182-195.
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.
D. Gomez, A. Ostafe and I. E. Shparlinski, On irreducible divisors of iterated polynomials,
Revista Matematica Iberoamericana, 2014, 1123-1134.
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.
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.
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.
A. Ostafe,
Pseudorandom vector sequences of maximal period generated by polynomial dynamical systems,
Designs, Codes and Cryptography, 2012, v. 63, 59-72.
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.
A. Ostafe and I. E. Shparlinski, On the power generator and its multivariate analogue,
J. Complexity, 2012, v. 28, 238-249.
O. Ahmadi, F. Luca, A. Ostafe and I. E. Shparlinski, On stable quadratic polynomials,
Glasgow Math. J., 2012, v. 54, 359-369.
A. Ostafe and I. E. Shparlinski,
Exponential Sums over Points of
Elliptic curves with Reciprocals of Primes,
Mathematika, 2012, v. 58, 21-33.
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.
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.
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.
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.
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.
A. Ostafe and I. E. Shparlinski,
Twisted exponential sums over points of elliptic curves,
Acta Arith., 2011, v. 148, 77-92.
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.
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.
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.
A. Ostafe,
Pseudorandom vector sequences derived from triangular polynomial systems with constant multipliers,
Lect. Notes in Comp. Sci., Springer-Verlag,
Berlin, 2010, 62-72.
Since 2018 I organise an annual information session dedicated to students in years 3+, which aims to give some insight into the application process for PhD positions in Australia and overseas.
2020: Session for 2nd year students: Ray Li (UNSW), Link to slides
Session for 3rd & 4th year students: Applying in Australia: Ian Doust (UNSW), Link to slides
Applying in USA: Ray Li (UNSW), Link to slides
Applying in UK: Marley Young (University of Cambridge), Link to slides
2019:
Applying in Australia: Ian Doust (UNSW), Link to slides
Applying in USA & UK: Marley Young (UNSW), Link to notes
Since 2021 I am the Director of Postgraduate Studies (for future students) in the School of Mathematics and Statistics at UNSW, Sydney. You can find here more information on postgraduate programs at UNSW. For further enquiries you are welcome to contact me directly via email.