Marcus Greferath

Dr. Marcus Greferath is an Adjunct Professor at the Department of Mathematics and Systems Analysis, Aalto University, School of Science. He holds dual roles as a Visiting Professor in both the Department of Mathematics and Systems Analysis and the Algebra and Discrete Mathematics division. His research focuses on algebraic coding theory, combinatorics, and applications of finite rings in coding and cryptology. Greferath has contributed significantly to areas such as rank metric codes, network coding, and error-correcting codes over finite structures.

Research Interests: Greferath's work bridges pure mathematics and applied coding theory. Key areas include the study of codes over finite rings and modules, applications of combinatorial designs, and the development of decoding algorithms. His recent projects address adversarial error correction in distributed storage systems and privacy-preserving information retrieval using finite geometries.

Publications: His most recent works include advancements in MacWilliams duality for rank metric codes (2025), adversarial error correction frameworks (2024), and combinatorial design mosaics (2018). These reflect a strong emphasis on algebraic foundations and their practical implications in modern communication systems.

Patents: He co-invented encoding schemes for LDPC codes (US2010199142, 2010) and magnetic resonance methods using phase-modulated pulses (US2011241667, 2011), showcasing his translational research impact.

Labs/Teams: Active in the Algebra and Discrete Mathematics research group at Aalto University, contributing to projects on subspace codes and network security. Collaborates internationally on topics like finite quasi-Frobenius modules and linear code structures.