NEW MISSION AND OPPORTUNITY FOR MATHEMATICS RESEARCHERS: CRYPTOGRAPHY IN THE QUANTUM ERA [0.03%]
量子时代密码学中数学研究的新使命与机遇
Lidong Chen,Dustin Moody
Lidong Chen
This article introduces the NIST post-quantum cryptography standardization process. We highlight the challenges, discuss the mathematical problems in the proposed post-quantum cryptographic algorithms and the opportunities for mathematics r...
Giuseppe Della Sala,Joe J Perez
Giuseppe Della Sala
Let G be a unimodular Lie group, X a compact manifold with boundary, and M the total space of a principal bundle [Formula: see text] so that M is also a strongly pseudoconvex complex manifold. In this work, we show that if there exists a po...
Valérie Berthé,Anne Siegel,Wolfgang Steiner et al.
Valérie Berthé et al.
Shift radix systems form a collection of dynamical systems depending on a parameter r which varies in the d-dimensional real vector space. They generalize well-known numeration systems such as beta-expansions, expansions with respect to rat...
Ludmil Katzarkov,Gabriel Kerr
Ludmil Katzarkov
This paper presents a new approach to the dimension theory of triangulated categories by considering invariants that arise in the pretriangulated setting. ...
Lukas Parapatits,Franz E Schuster
Lukas Parapatits
A Steiner type formula for continuous translation invariant Minkowski valuations is established. In combination with a recent result on the symmetry of rigid motion invariant homogeneous bivaluations, this new Steiner type formula is used t...
Peter Paule,Cristian-Silviu Radu
Peter Paule
In 1994, James Sellers conjectured an infinite family of Ramanujan type congruences for 2-colored Frobenius partitions introduced by George E. Andrews. These congruences arise modulo powers of 5. In 2002 Dennis Eichhorn and Sellers were abl...
Agelos Georgakopoulos
Agelos Georgakopoulos
We generalise a fundamental graph-theoretical fact, stating that every element of the cycle space of a graph is a sum of edge-disjoint cycles, to arbitrary continua. To achieve this we replace graph cycles by topological circles, and replac...