Martin Kreuzer

Professor Martin Kreuzer holds the Chair of Mathematics with a focus on Symbolic Computation at the University of Passau's Faculty of Computer Science and Mathematics, a position he has occupied since 2007. His academic career centers on advanced mathematical research with significant applications in computer science and cryptography.

Dr. Kreuzer's research focuses primarily on computer algebra, commutative algebra, and algebraic geometry, with special emphasis on algebraic cryptography. His work involves constructing new cryptosystems and analyzing the security of existing ones using algebraic methods. He investigates how mathematical equation systems can be used to formulate attacks on cryptosystems, particularly focusing on fault injection techniques where attackers provoke miscalculations in cryptographic hardware to deduce secret keys. This research contributes significantly to IT security and has grown increasingly important in recent years.

His publication record shows a strong trend toward applied algebraic research, particularly in cryptographic applications and computational algebra. Recent work demonstrates expertise in zero-dimensional schemes, border basis theory, finite Z-algebras, and SAT solving techniques. The research spans theoretical mathematics while maintaining strong connections to practical security applications, especially in hardware security and post-quantum cryptography.

Professor Kreuzer leads the DFG project 'Algebraic Error Attacks' (also referred to as 'Algebraic Fault Attacks'), which investigates the protection of cryptographic hardware against fault injections. This significant research initiative demonstrates his leadership in bridging theoretical mathematics with practical security challenges.

His collaborative approach is evident through numerous co-authored publications with researchers including L. Robbiano, Le N. Long, F. Walsh, and others. These collaborations span multiple institutions and demonstrate his active role in the international mathematics and cryptography communities. Professor Kreuzer emphasizes the importance of interdisciplinary work, particularly with computer engineering, for the future design of secure cryptographic systems.