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Julia Pieltant

Julia PieltantJulia Pieltant is University Assistant-Professor in Cybersecurity and Information Security at the CNAM, and member of the Chair of Criminology. She holds a PhD in Mathematics from the University of Aix-Marseille (thesis defended in 2012) and a Master's degree in Cryptology. Her research work focuses on algebraic geometry and complexity theory, with applications to fast and efficient finite field arithmetic.

Publications

  • On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry. Stéphane Ballet, Jean Chaumine, Julia Pieltant, Matthieu Rambaud, Hugues Randriambololona, Robert Rolland. Russian Mathematical Surveys, accepté (2020).
  • Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of F2 and F3. Stéphane Ballet, Julia Pieltant. Journal of Pure and Applied Algebra, Volume 222, Issue 5, pp. 1069-1086 (2018).
  • On some bounds for symmetric tensor rank of multiplication in finite fields. Stéphane Ballet, Julia Pieltant, Matthieu Rambaud, Jeroen Sijsling. Proceedings of the Conference Arithmetic, Geometry and Coding Theory, “AGCT 2015”, A. Bassa, A. Couvreur, and D. Kohel (Eds.), AMS Comtemporary Mathematics 686, pp. 93-121 (2017).
  • New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields. Julia Pieltant, Hugues Randriam. Mathematics of Computation 84, pp. 2023-2045 (2015).
  • Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field.Stéphane Ballet, Jean Chaumine, Julia Pieltant. Proceedings of “5th International Conference on Algebraic Informatics”, T. Muntean, D. Poulakis, and R. Rolland (Eds.): CAI 2013, LNCS 8080, pp. 160-172 (2013).
  • On the tensor rank of multiplication in any extension of F2. Stéphane Ballet, Julia Pieltant. Journal of Complexity 27, pp. 230-245 (2011).