Dr. Hagen Knaf

Fraunhofer ITWM

Competences

  • Data mining
  • Signal analysis
  • Commutative Algebra

Selected Publications

  • H. Knaf, "Wo stehen wir und wie kommen wir weiter?". In: H.-J. Bullinger: TECHNOlogisch! Technologien erfolgreich in den Markt bringen, LOG_X Verlag GmbH, Ludwigsburg 2012.
  • U. Bügel, H. Knaf, U. Laufs, Technologieentwicklung: Theoretische und praktische Unterstützung mit Hilfe von Data Mining, HMD Praxis der Wirtschaftsinformatik 268 (2009)
  • H. Knaf, F.-V. Kuhlmann, Every place admits local uniformization in a finite extension of the function field, Advances in Mathematics 221 (2009), 428 - 453. Preprint: arXiv:math/0702856v1.
  • H.Knaf, D.Heubach, Den Reifegrad einer Technologie bestimmen, In: H.J.Bullinger (Hrsg.): Fokus Technologie, Carl Hanser Verlag, München 2008
furher publications
  • H. Knaf, Regular local algebras over valuation domains: weak dimension and regular sequences, Journal of Algebra and Its Applications Vol. 7, No. 5 (2008), 575-591. Preprint: arXiv.org, math./0406385.
  • H. Knaf, Kernel Fisher discriminant functions - a concise and rigorous introduction, ITWM-Bericht 117 (2007).
  • H. Knaf, F.-V. Kuhlmann, Abhyankar places admit local uniformization in any characteristic, Annales Scientifiques de l'Ecole Normale Superieure, Volume 38(6) (2005). Preprint: arXiv.org, math.AG/0304159.
  • H. Knaf, Regular Curves over Prüfer Domains, Fields Institute Communications Volume 33 (2003), 89-106.
  • H. Knaf, P. Lang, Knowledge-based Diagnosis Aiding in Regulation Thermography, GAMM Proceedings (PAMM), Vol. 2 (1) (2003), 432-433.
  • H. Knaf, Chains of prime ideals in flat algebras over Prüfer domains, October 2002, Manuscript available at: http://math.usask.ca/fvk/Valth.html
  • H. Knaf, Algebras over Prüfer domains: geometric properties and problems, March 2002, Manuscript available at: http://math.usask.ca/fvk/Valth.html
  • H. Knaf, P. Lang, D. Prätzel-Wolters, Expertensysteme in der komplementären Onkologie , in: J.Beuth (Hrsg.), Grundlagen der Komplementäronkologie, Hippokrates, Stuttgart 2002.
  • H. Knaf, Divisors on Varieties over Valuation Domains, Israel Journal of Mathematics 119 (2000), 349-377.
  • H. Knaf, On the Integral Closure of Polynomial Rings over a Valuation Domain, Journal of Algebra 209 (1998), 108-128.

Lectures

  • H. Knaf, Knowledge from Data: Trips into Data Mining, Felix-Klein-Summer School 2010, Fraunhofer ITWM, September 2010.
  • H. Knaf, H. L. Trinkaus, Innovation Play-Board - Knowledge, Project and Process Management, KnowTech, 11. Kongress zum IT-gestützten Wissensmanagement in Unternehmen und Organisationen, Bad Homburg, Oktober 2009.
  • H. Knaf, Vorträge: Local Uniformisation I, Local Uniformisation II, Local
    uniformization for Abhyankar valuations, Workshop Valuation Theory in
    Positive Characteristic, Institute of Mathematics, University of Silesia,
    Katowice, Polen, Juni 2010.
  • H. Knaf, Lokale Uniformisierung von Abhyankarstellen, Workshop Local Uniformization, Mathematisches Institut der Universität Freiburg, Dezember 2007.
  • H. Knaf, ROC-basierte Diskriminanzanalyse, Workshop "Klassifikationsverfahren in Medizin, Technik und Wirtschaft", Fraunhofer ITWM, Kaiserslautern, September 2007.
further lectures
  • H. Knaf, Data Mining Methoden im Überblick, Workshop Data Mining im Einsatz, Mathematische Forschungsplattform für regionale KMU, Fraunhofer ITWM, Kaiserslautern, März 2005.
  • Pattern recognition in biosignals, Rollout press conference SRA II - Stroke Risk Analyser, Frankfurt, February 2005. Präsentation [ PDF 0.9 MB ]
  • H. Knaf, Regularity of non-noetherian rings, Wissenschaftliche Fakultät, Universität Versailles St-Quentin-en-Yvelines, Frankreich, Mai 2004.
  • H. Knaf, Familien über Prüferringen, Naturwissenschaftliche Fakultät I - Mathematik, Universität Regensburg, Mai 2004.
  • H. Knaf, On essentially finitely generated extensions of valuation domains, 5th Annual Colloquiumfest: Valuation Theory in Algebraic Geometry and Model Theory, Institut Henri Poincare, Paris, France, April 2004.
  • H. Knaf, Regular models of valued function fields, Conference on Field theory and related Model theory, Department of Mathematical Logic, University of Freiburg, Germany, October 2003.
  • H. Knaf, 1. Homological dimension, grade and the cotangent space of coherent regular local rings, 2. Regular points on varieties over Prüfer domains, Guest scientist at the University of Saskatoon, Saskatoon, Canada, April 2003.
  • H. Knaf, Datenbasierte Diagnoseunterstützung in der Regulationsthermografie, VDI-Arbeitstreffen Nichtlineare Dynamik, Düsseldorf, Juli 2002.
  • H. Knaf, Mathematische Analyse von Elektrokardiogrammen, Vortrag im Rahmen des Programms Modellierung im interdisziplinären Studienprogramm (MISP), Universität Kaiserslautern, April 2002.
  • H. Knaf, Algebras over Prüfer domains: Geometric properties and problems, Third Annual Colloquium Fest at the University of Saskatchewan, Saskatoon, Canada, March 2002.
  • H. Knaf, Knowledge-based diagnosis aiding in regulation thermography, GAMM, Augsburg, März 2002.
  • H. Knaf, Monoidal transforms, Department of Mathematics, University of Saskatchewan, Saskatoon, Canada, June 2001.
  • H. Knaf, Uniformization of Abhyankar places over base rings of small dimension, Summer Meeting of the Canadian Mathematical Society, Saskatoon, Canada, June 2001.
  • H. Knaf, Modelling expert knowledge in Regulation Thermography using Fuzzy Logic and MATLAB, Kurs, Kaiserslautern, April 2000.
  • H. Knaf, 1. Regularity on varieties over non-noetherian valuation domains, 2. Divisor reduction on regular curves and applications, International Conference and Workshop on Valuation Theory, Saskatoon, Canada, July 1999.

Miscellaneous

  • Supervisor of the project group "Automatic Diagnosis Support for Arhythmic Disorders of the Heart", MINT-model project for Career Orientation,
    Felix-Klein-Zentrum for Mathematics, 2011.
  • Lectures on "Fundamentals of Valuation Theory", Department of Mathematics,
    TU Kaiserslautern, SS 2011.
  • Supervisor of the project group "What are Heart Beats telling us?",
    MINT-model project for Career Orientation,
    Felix-Klein-Zentrum for Mathematics, 2010.
  • Organisation of the workshop Data-Mining in der verfahrenstechnischen
    Industrie as a contribution to the project Entscheidungsunterstützung im
    Produktionsumfeld, June 2010.
  • Lectures on Unsupervised Learning - an introduction, Department of
    Mathematics, TU Kaiserslautern, Summer 2010.
  • Lectures on "Unsupervised Learning - an introduction", Department of Mathematics, TU Kaiserslautern, Summer 2009.
  • Organisation of the Workshop "Classification in the medical sciences, Engineering and Economy" as a contribution to the project "Multidimensional Statistical Classification" of the Cluster of Excellence Dependable Adaptive Systems and Mathematical Modelling" (DASMOD), September 2007.
  • Lectures on "Kernel functions and their application", Department of Mathematics, TU Kaiserslautern, Summer 2007.
more
  • Lecturer at the Summer School Valuation Theory and Integral Closures in Commutative Algebra, Juli 2006, University of Ottawa, Canada. Course: ramification theory of local rings in Galois extensions
  • Lectures on "Glimpses into Biosignal analysis", Department of Mathematics, TU Kaiserslautern, Fall/Winter 2005/2006.
  • Organisation of the workshop Data-Mining in der verfahrenstechnischen
    Industrie as a contribution to the project Entscheidungsunterstützung im
    Produktionsumfeld, June 2010.
  • Lectures on Unsupervised Learning - an introduction, Department of
    Mathematics, TU Kaiserslautern, Summer 2010.
  • Organisation of the workshop Data Mining im Einsatz - Methoden, Anwendung, Nutzen im Rahmen des Forschungs-Labs Produktionsplanung der Mathematischen Forschungsplattform für regionale KMU.
  • Participation in the fair: Medica 2004, 24.-27.11.04, mit der Ernährungsanalyse und -beratungssoftware CENA sana.
  • Participant of the Research-in-Teams Project on Local Uniformization and Resolution of Singularities, Banff International Research Station for Mathematical Innovation and Discovery (BIRS), Banff, Canada, August 2003. Report available at: http://www.pims.math.ca/birs/reports/2003.html
  • MACSI-net Event Cardio Point
  • Moderator of the MACSI-Net working group Cardiac- and Cardiovascular Problems.
  • Fair participation: Medica 2000, Düsseldorf, 22. - 25. November.
  • Participation: 65. Annual meeting of the German Society of Cardiology, Mannheim, 8. - 10. April 1999.