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Members of the Group:

Current Members

• Geoff Bailey, BSc (Hons) (Syd), joined the Group in 1995. He has assisted in the integration of KANT modules into Magma, and is now working on elliptic curves. His research interest is number theory.

• Gavin Brown, Ph.D. (Warwick University, UK) took up an appointment with the Magma group in March 1998. His interests lie in Algebraic Geometry, especially birational geometry and the topology of plane curves. He is currently working on the implementation of facilities for curves and surfaces in Magma.

• John Cannon (Head of the Group) completed his PhD at the University of Sydney in 1969 in Computational Algebra. Following a period at Bell Laboratories, Murray Hill, he has been a member of the staff of the School of Mathematics at Sydney University since 1971. His research interests include algorithms in group theory, field theory and linear algebra as well as the design and implementation of algebraic programming languages. In 1993, he was awarded a medal by the CSIRO for his contributions to Computer Algebra.

• Claus Fieker, Ph.D. (TU Berlin, Germany) is involved in the KANT project and joined the Magma group in April, 2000. His research interests are in constructive algebraic number theory and there especially in relative extensions and computational class field theory.

• Anne O'Kane, MPhil in Archaeology, has been involved in field work in Portugal and Australia. She has extensive experience in public and university administration and provides general support to the Group and the Magma user community.

• Michael Slattery, Ph.D. (Wisconsin), Associate Professor, Marquette University, spent an extended period visiting the Computational Algebra Group in 1987, and made a shorter visit in 1994. His research interest is finite soluble groups, in particular their representation theory.

• Allan Steel, BA (Hons, University Medal, Sydney), joined the Magma group in 1989. He has developed many of the fundamental data structures and algorithms in Magma for multiprecision integers, finite fields, matrices, polynomials and Gröbner bases. He has also developed the memory manager, the environmental features (line editor, help system, etc.), and the package system, and has also worked on the Magma language interpreter. In collaboration, he has developed the code for lattice theory (with Bernd Souvignier), invariant theory (with Gregor Kemper) and module theory (with Jon Carlson and Derek Holt). One of his main research goals is to develop fast practical implementations of asymptotically-fast algorithms.

• Nicole Sutherland, BSc (Hons) (Macquarie), joined the group in February 1999. Her research interests are in number theory and rings and fields. She has been working on local rings over the last year.

• Bill Unger, Ph.D. (Syd) joined the Magma group in February 1998, working on computational group theory.

Past Members

• Wieb Bosma studied computational number theory under Hendrik Lenstra in Amsterdam, obtaining his PhD in the area of primality proving. His principal interests are algorithms in elementary and algebraic number theory, particularly in relation to primality and factorization, continued fractions, quadratic forms, class groups, and elliptic curves. He has worked on Magma since 1989, and is responsible for its development in number theory and associated areas.

• Herbert Brückner, Ph.D. (RWTH, Aachen) joined the Magma group in March 1998. Herbert has worked on intersections of maximal orders and affine buildings. His main research interests are soluble quotient algorithms, representation theory of soluble groups and symbolic computation in finitely presented groups.

• Scott Contini joined the Magma group in September, 1999. His interests are number theory and cryptology.

• Bruce Cox, BSc (Hons), studied with John Cannon at the University of Sydney. His specialities within the Computational Algebra Group are the categories of groups, and his other research interests include the representation of mathematics in an object-oriented paradigm.

• Alexandra Flynn, BSc (Hons), joined the Group in 1995. She worked on incorporating PARI modules into Magma, and is currently involved in the development of facilities for incidence structures.

• Katharina Geißler, Dipl.Math.(TU Berlin, Germany) joined the group in October 1999. She studied computational number theory under M. E. Pohst in Berlin and is involved in the KANT project. Her research interests are computation of Galois groups and related topics.

• Volker Gebhardt, Ph.D. (Uni Essen, Germany) joined the Magma group in September 1999. His research interests are in computational group theory, especially finitely presented groups. He is currently working on the polycyclic groups module in Magma.

• Emanuel Herrmann, Dipl.Math. (Saarbruecken, Germany), developed the code for computing integral points and S-integral points on elliptic curves.

• Florian Hess, Ph.D. (TU Berlin, Germany) is involved in the KANT project at Berlin and joined the Magma group in October, 1999. His research interests are in algorithms for algebraic function and number fields, and their applications. He is currently working on the algebraic function field module in Magma.

• David Kohel, Ph.D. (U.C. Berkeley) joined the Magma group in May 1999. He has worked on elliptic and hyperelliptic curves, including point counting algorithms, various aspects of computational algebraic geometry and number theory, genera of integral lattices, binary quadratic forms, arithmetic of quaternion algebras, and modular forms. His thesis work was on endomorphism ring structures of elliptic curves over finite fields, and his research interests are in elliptic curves, arithmetic of curves over finite fields, quaternion algebras, modular curves and modular forms, number theoretic and algebraic-geometric coding theory, and elliptic curve cryptography,.

• Paulette Lieby, Ph.D. (NTU, Darwin), joined the Magma group in March 1999. Her research interests are in combinatorics, in particular designs and finite sets.

• Graham Matthews, BSc (Hons) (Auckland), MSc (Auckland), was involved in the design of the Magma semantics, user interface, and internal organisation. His research interests are (parallel) functional languages, complexity theory, type systems for computer algebra, and number theory.

• Richard Rannard, B.Sc.(Hons), Ph.D. (Syd) joined the Magma group in July 1997. He has worked on elliptic curves over finite fields and computational algebraic geometry, and was on the organizing committee of the CANT'97 conference. His research interests are public-key cryptography and low-dimensional topology.

• Bernd Souvignier was with the Magma group from 1996 to 1997, and now acts as a consultant. He studied Mathematics at RWTH Aachen, Germany, obtaining his PhD in 1996 in the area of analytic pro-p-groups. His main interests are group theory, representation theory, integral lattices and number theory. His research projects deal with the analysis of finitely presented groups, pro-p-groups and the construction of rational representations.

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