Christian Karpfinger

Prof. Dr. Christian Karpfinger is a faculty member at the Technical University of Munich (TUM), working within the TUM School of Computation, Information and Technology (CIT) in the Department of Mathematics (M11). He is based in Garching bei München, Germany, with his office located in room MI 2.12.37. His research and teaching activities focus primarily on algebra, field theory, and mathematics education.

Christian Karpfinger's research interests span multiple areas of algebra including:

• Valuation theory and field extensions
• Transcendental field extensions
• Near-fields and ordered algebraic structures
• Automorphism groups
• Cryptology and its algebraic foundations
• Mathematics education and textbook development

His publication record demonstrates consistent contributions to algebraic theory, particularly in valuation extensions and field theory. Karpfinger's work shows a progression from foundational studies in transcendental extensions to more specialized work on near-fields and ordered structures. His research has practical applications in cryptology and theoretical mathematics.

Christian Karpfinger is an active educator who has taught numerous mathematics courses at TUM, with a focus on linear algebra, algebra, and cryptology. He has authored or co-authored several influential mathematics textbooks that are widely used in German universities.