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The Numerical Algorithms Group Ltd

The Numerical Algorithms Group (NAG) develops and provides world-leading software to solve complex mathematical problems. It has offices in the UK, France, Germany, Japan and the US and has created a world-wide collaborative network of the world's best mathematical experts. In 1971 NAG developed the first mathematical software library that now has over 10,000 users world-wide and contains over a thousand mathematical and statistical functions. The range of products and services that NAG offers has continually expanded into statistical, symbolic, visualisation and numerical simulation software, compilers and application development tools and wide-ranging consultancy

To meet its customers' needs the NAG Libraries span many computing languages and platforms and are continually being upgraded to take advantage of the latest technologies - multi-processor PCs, for example. NAG's consultancy service offers its own expertise in developing software, coupled with world-leading knowledge of numeric computation. Customers who can't develop their own application, need a specific solution or just advice on how to get the best from the NAG Libraries can benefit. NAG's software grew out of university mathematics departments, but industries and businesses all around the world have been using it for everything from space flights to agriculture. Simply defined as "sophisticated number crunching" the software continues to evolve at a dramatic pace to meet the surge in complexity of mathematical problems in all walks of life from aircraft design to portfolio management.

NAG believes strongly in the importance of collaboration as the only way of keeping abreast of technological developments, and it has a strong record in participation in and management of projects at a national and international level. It is also committed to the development of and adherence to standards to improve the efficiency and flexibility of its software. In particular NAG coordinated the recent OpenMath IST project and is currently managing the OpenMath Thematic Network. It also participated in the development of W3C's MathML 2 recommendation.

Key Personnel

Dr. Mike Dewar is a Senior Technical Consultant in the Development Division of the Company. His PhD was in the area of integrating symbolic and numerical approaches to problem solving and, after working as a lecturer in Computer Science at the University of Bath, he joined NAG in 1994. He is responsible for packages in both the Reduce and AXIOM computer algebra systems and has contributed to the Aldor Compiler. He previously served as project Coordinator for the ESPRIT projects FRISCO (21.024) and OpenMath (24.969), and is currently managing the OpenMath Thematic Network (IST-2000-28719) as well as the MONET project. He is a member of the Executive Committee of the OpenMath Society, an organisation set up to maintain OpenMath at an international level, and an Honorary Reader in Computer Science at the University of St. Andrews.

David Carlisle is also a Senior Technical Consultant in the Development Division. He holds a PhD in mathematics from the University of Manchester and before joining NAG in 1998 was a research fellow at the Universities of Manchester and Cambridge. He was one of the major authors of the LaTeX2e typesetting system, and in his spare time still contributes to the LaTeX3 project. He is a member of the W3C Math Working group, and was a co-editor of the MathML 2 Recommendation. He worked on the OpenMath Project (24.969) and is an editor of the OpenMath standard, and is currently filling the rôle of CD Maintainer in the OpenMath Thematic Network.

University of Bath

The University of Bath is a comparatively small, science-oriented, university, ranked in the top ten of British universities by all the league tables: indeed the Financial Times' last league table said "Bath has definitely earned its place in Britain's own Ivy League". It is the only University in the top ten to make a year of industrial placement, sometimes abroad, a feature of almost all its undergraduate degrees - indeed in 1998-9 a student was on placement at ZIB and subsequently wrote the OpenMath -> MathML translator based on Reduce. The University is committed to the appropriate use of e-Learning technology, and, after a pilot in 2000-1 led by Professor Davenport, is now rolling out the use of Blackboard and BoxMind throughout the University, with expertise provided by the University's Centre for the Development of New Technologies in Learning which is also developing one of the "fast track" courses for the U.K.'s e-University project.

The Department of Computer Science, though newly formed in 2001, is merely a restructuring of the Computing Group of the Department of Mathematical Sciences, which goes back to the foundation of the University. As such, it achieved a rating of 5 in the 1996 national Research Assessment Exercise, and is confident of doing at least as well in the 2001 exercise. It has participated in several European projects, notably PoSSo (for which Professor Davenport's group provided the technical manager), OpenMath (of which Professor Davenport was the Chairman) and the OpenMath Thematic Network (of which Professor Davenport is the Chairman).

The University is also home to the nationally funded centre of expertise in digital information management UKOLN www.ukoln.ac.uk, and Professor Davenport is one of the University's representatives on UKOLN's Management Committee. UKOLN has several rôles, among which are acting as the UK Higher Education Funding Council's member of the World-Wide Web Consortium, and providing UK Higher Education's "Web Focus". It publishes the electronic newsletter Ariadne, and has taken part in several European projects, notably SCHEMAS, DESIRE and Renardus. Staff within UKOLN have experience of working with technologies associated with the Semantic Web such as XML, RDF and the Dublin Core.

Key Personnel

Professor Davenport Professor Davenport has worked on the interface between Mathematics and Computer Science for over thirty years. His major interest is computer algebra, where he wrote his thesis and the first major textbook on the subject. He was a major designer of the Axiom computer algebra system, and has also contributed extensively to Reduce. He was the first holder of the Ontario Research Chair of Computer Algebra at ORCCA. He also works in cryptography, having been part of the team that broke the discrete logarithm problem over GF(2127) in 1982, and in networking, where he has done much consultancy for the UK Government and industry. He is also the University's Director of Information Technology, where he has responsibility for the University's Computing Service and Library, as well as several initiatives such as e-Learning and Web accessibility.

University of Western Ontario (UWO)

The University of Western Ontario is one of the premier research-intensive universities in Canada. With approximately 25,000 students and 1200 faculty, the University comprises the full range of academic and professional programs, from science and engineering through medicine, law and music. The university is the lead institution in Canada's current super-computing effort, SHARC Net. The Department of Computer Science is one of the most rapidly growing in Canada, with approximately 30 research and teaching faculty members. Degrees are offered at the bachelors', masters' and doctoral levels in Computer Science. Several joint degrees are offered at the bachelors level, including an innovative program in Computer Science and Law. Major areas of research in the department include image analysis and computer vision, distributed systems management and network quality of service, formal languages, compilers and computer algebra. The Department of Applied Mathematics is one of only two in Canada, with a strong graduate program and research areas including computational fluid flow, high energy physics and financial mathematics.

The Ontario Research Centre for Computer Algebra (ORCCA) is a joint effort between the departments of Computer Science and Applied Mathematics at UWO, and the department of Computer Science at the University of Waterloo. The centre runs a program of invited Research Chairs, about which special programs are organized. The past year's program focused on Symbolic Linear Algebra, and the current year's centres on Mathematical Communication (MathML, OpenMath, etc.) The major areas of research of the centre are symbolic methods for differential equations, symbolic-numeric algorithms for polynomials, mathematical communications and software systems for computer algebra.

Researchers at the centre have direct experience in the conduct of European projects, and have worked closely with some of the MONET participants, specifically NAG and the University of Nice in this context. It is understood that the EU shall not fund the Canadian participation in the current project.

The members of ORCCA have significant technology transfer experience, seeing the results of their research efforts taken up in industrial contexts from pulp and paper processing to software development. Most directly related to the present proposal is the participation in the MathML and OpenMath standard definition efforts, the successful alignment of these standards with each other and with other industry standards, and the adoption of these standards in commercial products, such as Maple 7.

Key Personnel

Stephen M. Watt (Ph.D. Waterloo) is Chair of the Department of Computer Science at UWO, and the Director of the ORCCA. Previously he was a Professor at Université de Nice and Responsable Scientifique of the SAFIR project at INRIA. Prior to that he was a Research Staff Member at the IBM T. J. Watson Research Center for 12 years. He has extensive experience working with both the NAG and Waterloo Maple companies, has previously served as Chairman of the ESPRIT project FRISCO (LTR 21.024), and presently serves on both the OpenMath executive committee and the W3C Math Working Group. Dr. Watt is one of the principal authors of Maple, Axiom and Aldor, and is active in the areas of symbolic-numeric algorithms, internet-based mathematics, and compilers. Dr. Watt shall serve as the UWO principal investigator for this project.

Robert M. Corless (Ph.D. British Columbia) is a Professor in the Department of Applied Mathematics, and the Deputy Director of ORCCA. He is Chair of the ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM). He is the author of "Essential Maple" (Springer-Verlag, 1995) and over 70 technical papers. As one of the contributors to the Organic Mathematics Workshop (Simon Fraser University, December 1995) he is one of the early contributors to internet-based mathematics. Dr. Corless works in the area of symbolic-numeric algorithms, numerical analysis and dynamical systems.

William Naylor (Ph.D. Bath) is an ORCCA postdoctoral fellow at UWO, having previously worked on the OpenMath ESPRIT project. His current research is in the automated creation of mathematical stylesheets for XML markup of mathematical content.

Stilo Technology Ltd

Stilo Technology Ltd is a wholly-owned division of Stilo International plc, the first specialist XML company to be listed on the Alternative Investment Market (AIM) of the London Stock Exchange. In addition to Stilo Technology Ltd, Stilo International plc wholly owns Omnimark Technologies Corporation in Ottawa, Canada, and holds a majority shareholding in eidon GmbH in Nuremburg, Germany. Group companies develop and market content engineering technologies which enable enterprises more readily to automate the integration, creation, management and re-purposing of large quantities of data using XML. Customers include major systems integrators (CGEY, CSC, Siemens, EDS); Fortune 500 companies (IBM, SUN, Boeing); Government agencies (the US Department of Defence, European Parliament); and many of the world's largest publishing organisations, including the US Government Printing Office and Reed Elsevier. With offices now in Canada, USA, UK, Germany, Belgium, France and distributors in Australia and Japan, Stilo companies operate in some of the world's leading markets and so are additionally able to provide global customers with local training, sales, consultancy and supporting services. Stilo Technology Ltd has a research and development responsibility within the group, investigating new standards, technologies and models of service provision, and developing innovative approaches, tools and techniques to meet the requirements of the evolving markets. Stilo Technology Ltd was a member of the ESPRIT OpenMath project (EP24969), and is a member of the OpenMath Thematic Network (IST-2000-28719). Stilo Technology Ltd is also a member of the W3C.

Key Personnel

Stephen Buswell - Chief Technology Officer After reading mathematics at Oxford, Stephen Buswell has worked in IT in the UK, Europe and North America at organisations including Logica, European Payment Systems Services and, as an independent consultant, the Polish Ministry of Finance. Applications included telecommunications, finance and control software for life sciences experiments on board Spacelab. Stephen co-founded Stilo in 1992, since when he has specialised in markup languages, information architecture and web technologies. Stephen is a member of the W3C Math Working Group and a Principal Writer of the MathML Recommendation for mathematics on the web. He worked on the ESPRIT OpenMath project (EP24969), and is a member of the ESPRIT OpenMath Thematic Network (IST-2000-28719). Stephen is also a member of the W3C Advisory Committee.

Nick Taylor - Senior Developer Nick specialises in enterprise architectures using the Java 2 Enterprise Edition, distributed computing using CORBA and application integration. He was previously Research Fellow at the University of the West of England, participating in a number of successful collaborative research projects. MOTOS (Management of Traffic in Open Systems), a DTI funded investigation into the use of open systems for real-time traffic monitoring, used neural network technology to predict traffic flows and potential congestion. TRENDS (Traffic Engineering Data Services) an ESPRIT funded project, was a CORBA/Java implementation of the principles of the MOTOS project using live traffic . FollowMe, an ESPRIT project, investigated the use of mobile agents as a means by which information could be delivered to a variety of devices such as PDAs and mobile phones. Nick has extensive Java experience and holds an MSc in Communicating Computer Systems.

Nick James - Senior Developer Nick has worked as a software engineer and project leader for twelve years. He specialises in data management and database software, and has in depth knowledge of database systems. He has worked as an engineer producing a sophisticated object oriented database, and has produced advanced software for the GIS industry. Nick has experience in a wide range of industrial areas including finance and space, usually working with large data management problems. He is currently working an ontology-based system for knowledge management and complex data transformation.

University of Manchester

The University of Manchester Department of Computer Science has a long and distinguished research record dating back as far as 1948 when they developed the world's first stored-program digital computer. Currently, the department has a strong reputation for research across a wide area of Computer Science and in particular in the area of information management.

The Information Management Group (IMG) carries out research in different aspects of data intensive application development. Current research seeks to extend the functionality of database systems, to exploit Description Logics (DLs) in advanced applications, and to make advanced information management systems easier to use. IMG is one of the leading international centres for research in the theory and practical application of DLs, having been responsible both for the implementation of THE state of the art DL reasoner (FaCT) and its use in a range of innovative applications including the OilEd ontology editor.

Members of IMG have wide experience in national and international projects in areas such as Managing Semi-Structured Information (DWQ, CAMELOT, STARCH, COHSE), Object Data bases (ODESSA, DOQL, POLAR) and User Interfaces to Data Intensive Systems (TEALLACH, KALEIDOQUERY, INFOLENS). IMG maintains close links at Manchester University with the Bioinformatics Group and also has a range of projects in this area (TAMBIS, GIMS, RASH, IRBANE). IMG also benefits from close links with the Formal Methods Group, the Medical Informatics Group and the Advanced Interfaces Group.

Key Personnel

Ian Horrocks is a Lecturer in Computer Science. He graduated in Computer Science from Manchester in 1982, winning the prize for most outstanding graduate. After working in industry he returned to Manchester to complete a PhD in 1997. His FaCT system revolutionised the design of DL systems, redefining the notion of tractability and establishing a new standard for implementations. He designed the OIL language, is an editor of the DAML+OIL language and is a member of the Joint EU/US Committee on Agent Markup Languages. He is the lead researcher on several EPSRC projects and was a leading researcher on the DWQ project (Esprit 22469). He has published widely in major journals and conferences, winning the best paper prize at KR'98. He is a member of the programme/editorial committees of several international conferences, workshops and journals. His current research interests include knowledge representation, automated reasoning, ontological engineering and the Semantic Web.

Carole Goble is a Professor in Computer Science, and co-leads the Information Management Group. She has been on the faculty since 1985, and has worked in the Multimedia and Medical Informatics groups. She was/is an investigator on a number of projects using Description Logics (DLs) as modelling and retrieval languages for: medical information systems (PEN&PAD, GALEN), semantic hypermedia systems (COHSE), picture archives (STARCH), mediating disparate bioinformatic information sources (TAMBIS, TAMBIS-II), and improved protein function prediction using ontologies (Irbane). She is co-investigator in a basic research project on DL-based ontology servers (CAMELOT). She has over 40 publications in the area and has served on many conference committees on databases and multimedia. Her current interests lie in conceptual modelling, the use of ontologies and thesauri in a range of metadata and data-intensive applications, including multimedia, hypermedia, medical informatics and bioinformatics.

Technical University of Eindhoven

The Technische Universiteit Eindhoven (TU/e) was founded in 1957, and is now the second largest university of technology amongst the thirteen universities in The Netherlands. The TU/e consists of eight departments in the fields of Applied Physics, Biomedical Technology, Building and Architecture, Chemical Engineering and Chemistry, Electrical Engineering, Mathematics and Computer Science, Mechanical Engineering, and Technology Management. The TU/e has 2750 employees of which 120 are full professors and 425 assistant and associate professors. The TU/e provides 13 five-year undergraduate study programmes ("ingenieur") for 5000 students, 10 two-year courses in technological design ("master of technological design") for 250 postgraduates, as well as various PhD-programmes ("doctor") for 500 postgraduates. Lecturers and students make use of modern information and communication means (e.g. almost all students have laptops). TU/e leads prominent Dutch research schools and institutes, and holds a strong position in international networks.

The Department of Mathematics and Computer Science is active in the fields of algebra, applied analysis, scientific computing, systems and control, discrete mathematics, combinatorial optimisation, coding and cryptography, stochastic operation research, statistics, scheduling, information systems, distributed real time systems, computer graphics, programming methodology, parallel systems, formal methods, and embedded systems. The department has over 120 employees of which 14 are full professors and 70 assistant and associate professors. The number of undergraduate students is approximately 800. The department also hosts RIACA, the Research Institute for Applications of Computer Algebra, which plays a pivotal role in the development of mathematical computation.

The Eindhoven research team consists of Prof.dr. A.M. Cohen, Dr H. Cuypers, Dr H. Sterk, Dr H.A. Wilbrink, Prof.dr. A.E. Brouwer, together with three junior researchers. The group performs research on Discrete Mathematics, Computer Algebra and its applications and is one of the main contributors to the OpenMath standard. Results in the past include software packages for Algebra and Discrete Mathematics for Lie theory, for non-commutative algebra, for codes, and for graphs. Also, the group has produced an OpenMath Library for the construction of phrasebooks, several phrasebooks for interfacing mathematical software, and Interactive Algebra Lecture Notes (published by Springer Verlag). The group has extensive teaching experience (at under- and postgraduate level) in their respective specialties. It is currently a member of both the Calculemus project (RTN1-1999-00301) and the OpenMath Thematic Network (IST-2000-28719).

Key Personnel

Professor Arjeh M. Cohen studied mathematics and theoretical computer science at Utrecht University. His research fields are Discrete Algebra and Geometry, and Mathematical Computation. He worked at Rijnmond Authority, Rotterdam, the University of Twente, Enschede, and CWI, Amsterdam, and at Utrecht University. Since 1992, he has been a full professor of Discrete Mathematics at Eindhoven University of Technology. He is scientific director of RIACA, chairman of the board of the Research School EIDMA, and president of the OpenMath Society. He has authored about eighty papers in refereed journals, nine books (edited books included), and three software packages.

Dr Hans Cuypers studied mathematics in Nijmegen and Utrecht. His research fields are Geometry and Groups, and Interactive Mathematics Books. He worked at East Lansing (Michigan) and Kiel. Since 1991 he has been a professor of Discrete Mathematics at Eindhoven University of Technology. He is manager of RIACA. He has authored about forty papers in refereed journals, and two books (edited books included).

Dr. Olga Caprotti received a PhD from RISC-Linz in symbolic constraint solving in 1997 and then joined the European OpenMath Esprit Project where she was one of the principal contributors to the OpenMath standard. She is currently one of the editors of the standard and a member of the OpenMath Society. Her main interest is the development of client-server applications interconnecting various software systems such as GAP, Maple, COQ, CoCoA and R. She has given numerous presentations about OpenMath from the "Future of Mathematical Communication" in Berkeley in 1999, to the recent "Electronic Media in Mathematics" in Coimbra in 2001. She is co-chair of "Calculemus 2002: 10th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning".

University of Nice

The Uniersité de Nice-Sophia Antipolis (UNSA) is a public university with some 27,000 students. The two units principally responsible for teaching information technology courses are the Dept. of Informatics and the Information Technology Engineering School ESSI (École Supérieure en Sciences Informatiques). Both units together have over 1000 students in various programs, at various levels. The CNRS-affiliated laboratory I3S (Informatique, Signaux, et Systèmes á Sophia-Antipolis) has some 150 researchers, largely drawn from the above university units, active in all aspects of information technology. The M@INLINE (Multimedia Activities Involving Non-Linear Information for Networked Education) group is the intersection of people involved in technologies for informatics and communication from several institutes: the Informatics Dept. of UNSA, ESSI, I3S, and the Institut Universitaire de Formation de Maitres (IUFM). M@INLINE groups under the same label researchers from complementary domains, all oriented towards multimedia education and distance-learning. Non-Linear information and its application to distance-learning correspond to a real need, both from public education and private industry. We are particularly interested in developing tools to communicate content using a mix of multimedia sources, to personalize content, to aid in non-linear navigation through content, and to test and evaluate results. M@INLINE's activities can be divided into 3 categories: distance-learning, interactive editing, and visualisation.

Distance Learning
We are concerned with the creation and development of course material with digital support (CDrom, intranet, web, etc). This is closely tied to the development and evaluation of the appropriate tools for distance learning in an extension of work undertaken in the European Trial-Solution project (IST-1999-11397). Briefly, the aim of this project is to develop the necessary technology (metadata and tools) to create new courses based on existing material. Proposed methods and tools will allow a teacher to use existing courses which have been pre-processed by splitting them into small chunks. The teacher could then integrate these slices from various sources into personalised courses.
Interactive Editing
The second aspect of M@INLINE, associated with the European OpenMath project (Esprit 24-969), is oriented to the publication of mathematical material over the web. OpenMath is a platform-independent standard for the representation of mathematical objects allowing their exchange between various software tools (computer algebra systems, databases, etc.) in a meaningful way. This project saw the development of JOME (Java OpenMath Editor) an interactive formula renderer (selection, drag and drop, iconification / uniconification, etc.) designed as a Java Bean software component. JOME can be integrated into different kinds of applications or applets to make mathematics come alive on the web!
Visualisation
Communication via images plays an important role in understanding the meaning of information. A third aspect of the project is oriented towards interactive communication via images, including the development of techniques for distributed visualisation. The principal application will be presenting course material via multimedia tools.

For administrative reasons this partner appears twice in the summaries in part A as both the University of Nice and CNRS.

Key Personnel

Michel Buffa is a Maître de Conférences at UNSA in the Informatics Department, head of the Maîtrise d'Informatique Appliquée á la Gestion (MIAGE) program, and a member of I3S. He has taught courses specialising in image synthesis as well as the Internet and Java. His research is oriented towards real-time 3-D distributed graphics, as well as distance-learning platforms. He has participated in the European Realize project.

Jean-Marc Fedou is a Professor at UNSA and head of the Informatics Dept., and is a member of I3S. His research interests include combinatorics and computer algebra, and he was one of the developers of the Calico system. He has participated in the European OpenMath project.

Marc Gaëtano is a Maître de Confèrences at ESSI-UNSA, and a member of the Computer Algebra and Functional Equations (CAFE) project of the Institut National de Recherches en Informatique et en Automatique (INRIA). He has taught courses including algorithms, programming, and computer algebra systems. His research interests are principally in distributed computer algebra systems, and he has participated in the European FRISCO, PoSSo and OpenMath projects.

Stéphane Lavirotte is a Maître de Conférences at the IUFM in the New Technologies Dept., and a member of I3S. He has taught courses including algorithms, programming, operating systems and man-machine interfaces. His research centers on graphical user interfaces for computer algebra systems, document analysis and recognition (optical formula recognition), and also online teaching techniques for scientific courses. He has participated in the European Trial-Solution and OpenMath Thematic Network projects.

Peter Sander is a Professor at ESSI-UNSA and a member of I3S. He was head of the Vision and Robotics postgraduate (DEA) program, and has taught courses ranging from introductory programming with Java, to image processing, to postgraduate differential geometry. His research interests are in visual communication via distributed multimedia systems. He has participated in the European Realize, OpenMath, Trial-Solution, and OpenMath Thematic Network projects.

Jean-Paul Stromboni is a Maître de Conférences at ESSI-UNSA and a member of I3S. He has taught courses on Control Theory, Electronics, Applied Physics. His present research interests focus on the use of so-called new technologies in the fields of open learning and computer aided teaching.

Jean-Yves Tigli is a Maître de Conférences at ESSI-UNSA and a member of I3S. He has taught courses on networks, distributed software systems, robotics, and man-machine interfaces. His research centers on distributed systems and tools, and interfaces for cooperative distributed systems. He has participated in the Mauve and Narval European projects.


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