Elisa Gorla – University of Neuchâtel

Martin M-102 405 S Palmetto Blvd, Clemson, SC, United States

Multivariate cryptography and Groebner bases -- Colloquium talk Multivariate cryptography is one of a handful of proposals for post-quantum cryptographic schemes, i.e., cryptographic schemes that are secure also against attacks …

Elisa Gorla – University of Neuchâtel

Martin M-203 Department of Mathematical Sciences, Clemson, SC, United States

Rank-metric codes and q-polymatroids Rank-metric codes are vector subspaces of the vector space of matrices of given size over a finite field, equipped with the distance function induced by the …

Elisa Gorla – University of Neuchâtel

Universal Groebner bases and Cartwright-Sturmfels ideals Universal Groebner bases are systems of generators of ideals, which are a Groebner basis with respect to any term order. In this talk, I …

Larry Rolen – Vanderbilt University

Martin M-102 405 S Palmetto Blvd, Clemson, SC, United States

Jensen-Pólya Criterion for the Riemann Hypothesis and Related Problems In this talk, I will summarize forthcoming work with Griffin, Ono, and Zagier. In 1927 Pólya proved that the Riemann Hypothesis is equivalent …

Daniel Apon – National Institute of Standards and Technology

NIST's Post-Quantum Cryptography Project (2012-2024) In recent years, there has been a substantial amount of research on quantum computers – machines that exploit quantum mechanical phenomena to solve mathematical problems …

Umberto Martínez-Peñas – University of Toronto

Sum-Rank Codes and Linearized Reed-Solomon Codes The sum-rank metric naturally extends both the Hamming and rank metrics in coding theory. In this talk, we will present linearized Reed-Solomon codes, which …

Jintai Ding – University of Cincinnati

Martin M-102 405 S Palmetto Blvd, Clemson, SC, United States

Quantum-Proof Blockchain. Blockchain technology is now going through explosive development with the aim to develop a new generation of revolutionary financial technology. The most successful example is new digital currency bitcoin. …

Introductory lecture

Martin M-103 Martin Hall M, Clemson, SC, United States

The introductory lecture is aimed at sharing background material so that students are better prepared to understand the main seminar. The introductory lecture is open only to students.  

Abbey Bourdon – Wake Forest University

Martin M-102 405 S Palmetto Blvd, Clemson, SC, United States

Sporadic Points on Modular Curves Our work is motivated by the following classification problem: For a fixed positive integer d, what finite groups arise as the torsion subgroup of an …