Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–124) QUIVERS WITH RELATIONS FOR SYMMETRIZABLE CARTAN MATRICES AND ALGEBRAIC LIE THEORY Christof Geiß

Source URL: eta.impa.br

• Algebra
• Abstract algebra
• Mathematics
• Representation theory
• Lie algebras
• Matrices
• KacMoody algebra
• AuslanderReiten theory
• Cartan matrix
• Symmetric matrix
• Sheaf
• Semisimple Lie algebra

How to Break DES for B C 8,980 Sandeep Kumar1 , Christof Paar1 , Jan Pelzl1 , Gerd Pfeiffer2 , Andy Rupp1 , Manfred Schimmler2 1

Source URL: www.hyperelliptic.org

• Cryptography
• Electronic engineering
• Hardware acceleration
• Electronics
• Digital electronics
• Data Encryption Standard
• Reconfigurable computing
• Field-programmable gate array
• Custom hardware attack
• Brute-force attack
• Xilinx
• EFF DES cracker

On the Security of Elliptic Curve Cryptosystems against Attacks with Special-Purpose Hardware Tim G¨ uneysu, Christof Paar, Jan Pelzl Horst G¨ortz Institute for IT Security, Ruhr University Bochum, Germany {gueneysu,cp

Source URL: www.hyperelliptic.org

• Cryptography
• Abstract algebra
• Algebra
• Finite fields
• Elliptic curve cryptography
• Computational hardness assumptions
• Group theory
• Public-key cryptography
• Elliptic-curve cryptography
• Elliptic curve
• Key size
• Discrete logarithm

SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , Colin Stahlke3 1

Source URL: www.hyperelliptic.org

• Integer factorization algorithms
• Mathematics
• Quadratic sieve
• Integer factorization records
• General number field sieve
• TWIRL
• Lattice sieving
• Factor base
• Prime number
• Sieve

An Efficient Hardware Architecture for Factoring Integers with the Elliptic Curve Method Jens Franke, Thorsten Kleinjung - University of Bonn Christof Paar, Jan Pelzl - University of Bochum Christine Priplata, Colin Stah

Source URL: www.hyperelliptic.org

• Cryptography
• Integer factorization algorithms
• Lenstra elliptic-curve factorization
• Quadratic sieve
• Elliptic-curve cryptography
• Elliptic curve
• Integer factorization
• General number field sieve
• RSA
• Trial division

An Efficient Hardware Architecture for Factoring Integers with the Elliptic Curve Method Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , 4 ˇ Christine Priplata3 , Martin Simka

Source URL: www.hyperelliptic.org

• Integer factorization algorithms
• Mathematics
• Abstract algebra
• Algebra
• Lenstra elliptic-curve factorization
• Quadratic sieve
• Montgomery modular multiplication
• Elliptic curve
• Exceptional case-marking
• Division algorithm
• General number field sieve

arXiv:quant-ph/0601097v1 15 JanShor’s algorithm with fewer (pure) qubits Christof Zalka February 1, 2008 Abstract

Source URL: arxiv.org

Probabilistic Internal Clock Synchronization Flaviu Cristian and Christof Fetzer www.christof.org May 1, 2003

Source URL: se.inf.tu-dresden.de

Graz University of Technology Institute of Materials Science, Joining and Forming Univ.-Prof. Dipl.-Ing. Dr.techn. Christof Sommitsch Invitation

Source URL: www.tugraz.at

Iván Fischer (conductor), Pierre Audi (director), Anish Kapoor (sets), Christof Hetzer (costumes), Jean Kalman (lighting design), Gail Skrela (movement), Klaus Bertisch (dramaturge)

Source URL: www.hollandfestival.nl