# Dr Eckhard Pfluegel

**School/Department:** Computer Science & Mathematics

**Position:** Senior Lecturer

## Biography

Eckhard Pfluegel (Principal Investigator) holds a German Diplom (equivalent of UK combined Bachelors Degree and Masters Degree, 1st class) in Computer Science from University of Karlsruhe, Germany and an Equivalence DEA Mathématiques Appliquées (French diploma of advanced study) from the University Joseph Fourier, Grenoble, France. He carried out his PhD studies under the supervision of Prof. E. Tournier at the Laboratoire de Modílisation et Calcul at Université Joseph Fourier in Grenoble, France. During some of this time, he was also a Research Fellow at the Symbolic Computation Group, University of Waterloo, Canada. After finishing his doctoral studies he moved to the United Kingdom, where he was employed for several years in a commercial environment as a software engineer. Returning to an academic setting, Dr Pfluegel was appointed Senior Lecturer at the School of Mathematics (Faculty of Computing, Information Systems and Mathematics since August 2005), Kingston University. He has also been Visiting Professor at the Département Mathématiques-Info at Limoges University (France) in 2006 and 2008.

Dr. Pfluegel has over 10 years of experience in designing and implementing symbolic algorithms in linear algebra and systems of Ordinary Differential Equations (ODEs). The main result reported in his PhD dissertation [8], a generalisation of the classical Splitting Lemma - one of the central tools in the formal reduction of systems of linear ODEs - led to efficient methods for computing local formal solutions [7, 6] and opened-up the field for the development of a range of new algorithms for the symbolic resolution of systems of linear ODEs [1, 4, 9, 10]. He developed the Open-Source software packages DESIR 2 [11] and ISOLDE [5] in the Computer Algebra System Maple which have been used successfully in various applications [16] and are currently used actively by the research community. Some of his code has been added to the commercial computer algebra packages Maple and MuPad. Recently, he has extended his methods to wider classes of linear functional equations such as linear difference and q-difference systems in [2] and this proposal builds on his investigation into linear DAEs [3], laying the groundwork for a novel approach to the symbolic treatment of this type of system.

Dr. Pfluegel is an active member of the Computer Algebra community. He is regularly reviewing for and publishing in international journal papers and is helping with the organisation of ISSAC, the yearly main international conference in this field. Currently, his research is supported by two EPSRC Doctoral Training Awards.

## Educational and Professional Qualifications

- PhD, PGCert