Prof. Dr. Heiko Knospe
Faculty of Information, Media and Electrical Engineering
Institute of Computer and Communication Technology (ICCT)
Campus Deutz
Betzdorfer Straße 2
50679 Köln
Mailing address
+49 221-8275-2440
heiko.knospe@th-koeln.de
Office hours
Office Hour
Wednesday, 14:00 to 15:00
Campus Deutz, Betzdorfer Str. 2, Room ZN6-9
Teaching disciplines
- Mathematics: Calculus, Linear Algebra, Algebra, Number Theory, Statistics
- Cryptography: Fundamentals, Number Theory, Algebra, Definitions of Security, Block Ciphers, Stream Ciphers, Hash Functions, MAC, Public Key Encryption, Key Establishment, Digital Signatures, Quantum Computing, Lattices, Codes Heiko Knospe, A Course in Cryptography, American Mathematical Society
- IT Security Security Objectives, Threats, Security Models, Security Protocols, System Security, Network Security, Security Management, Standards Moodle E-Learning
Research fields
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Cryptography: Algebraic and number-theoretic methods in Cryptography, Post Quantum Cryptography, Lattices, Codes
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Number Theory: Iwasawa theory, p-adic L-functions, algebraic aspects of nonstandard analysis.
Publications
- Knospe, Heiko (2024): Special Values of p-adic L-functions and Iwasawa λ-invariants of Dirichlet Characters. In: De.arXiv.org. (Open Access)https://doi.org/10.48550/arXiv.2401.06100
- Delbourgo, Daniel; Knospe, Heiko (2023): On Iwasawa $λ$-invariants for Abelian Number Fields and Random Matrix Heuristics. In: Mathematics of Computation. Vol. 92, S. 1817 - 1836. (peer-reviewed)https://doi.org/10.1090/mcom/3823
- Schmitz, Angela; Knospe, Heiko; Schmidt, Jan-Philipp; Graf, Patricia Maria; Reissner, Jan; Schwenk, Andreas (2023): Parametrisierte Mathematik-Aufgaben klassifizieren und austauschen, Klassifizierung von Mathematik-Aufgaben und Entwicklung eines digitalen Aufgabenpools. Münster: WTM, Verlag für Wissenschaftliche Texte und Medien. (Open Access)https://doi.org/10.17877/DE290R-23233
https://doi.org/10.37626/GA9783959872089.0 - Delbourgo, Daniel; Knospe, Heiko (2022): On Iwasawa $λ$-invariants for Abelian Number Fields and Random Matrix Heuristics. In: De.arXiv.org., S. 1 - 159. (peer-reviewed/Open Access)https://doi.org/10.48550/arXiv.2207.06287
- Knospe, Heiko; Washington, Lawrence C. (2021): Dirichlet Series Expansions of p-adic L-functions. In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. Vol. 91, S. 325 - 334. (peer-reviewed/Open Access)https://doi.org/10.1007/s12188-021-00244-0
- Knospe, Heiko (2020): A Note on Regularized Bernoulli Distributions and P-Adic Dirichlet Expansions. In: De.arXiv.org. (Open Access)https://bibliografie.th-koeln.de/servlets/DozBibEntryServlet?mode=show&id=bibthk_mods_00004899
- Knospe, Heiko (2019): A Course in Cryptography. Providence, Rhode Island: American Mathematical Society (Pure and applied undergraduate texts). (peer-reviewed)https://bibliografie.th-koeln.de/servlets/DozBibEntryServlet?mode=show&id=bibthk_mods_00001455
- Bach, Volker; Knospe, Heiko; Körner, Henning; Krüger, Ulf-Hermann; Langlotz, Hubert (2018): Mindestanforderungen am Übergang Schule/Hochschule. In: Der Mathematikunterricht. Vol. 64, S. 16 - 23. (peer-reviewed)https://bibliografie.th-koeln.de/servlets/DozBibEntryServlet?mode=show&id=bibthk_mods_00001962
- Knospe, Heiko (2016): Nonstandard Measure Spaces with Values in Non-archimedean Fields.https://bibliografie.th-koeln.de/servlets/DozBibEntryServlet?mode=show&id=bibthk_mods_00003901
- Knospe, Heiko (2015): Eine Analyse des AES Algorithmus mit dem Computeralgebrasystem Sage. In: Schott, Dieter (Hrsg.): Proceedings 12. Workshop Mathematik für Ingenieure. Wismar: Hochschule Wismar, Gottlob-Frege-Inst., S. 34 - 44.