Thursday, 24 April 2025
17:00 - 18:00
UniDistance Suisse & online, Schinerstrasse 18, 3900 Brig

 


 

Talk by Elisa Gorla, Université de Neuchâtel

Multivariate cryptography belongs to post-quantum cryptography, which is the branch of cryptography that is supposed to remain secure even in the presence of a quantum computer. After introducing public-key cryptography and motivating the need for studying post-quantum cryptography, I will discuss the role played by commutative algebra techniques in multivariate cryptography. The security of multivariate cryptographic primitive relies on the hardness of computing the solutions of multivariate polynomial systems over finite fields. Since we can compute the solutions of a polynomial system from its Gröbner basis, bounds on the complexity of Gröbner bases computations provide bounds on the security of the corresponding multivariate cryptographic primitives. In the talk, I will introduce and discuss some algebraic invariants which play a role in these security estimates and motivate their importance in this applied setting

Speaker

Elisa Gorla has been a full professor of applied mathematics at the University of Neuchâtel since October 2012. She earned her PhD in mathematics from the University of Notre Dame in May 2004 and specializes in commutative algebra, coding theory, and cryptography.

Find out more about Elisa Gorla on her page.

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