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CECM | CAG | Department of Mathematics | SFU | IRMACS | PIMS

About me Bio Research Publications Students Teaching Lecture Videos Talks Links

My research area is known as Computer Algebra. I have worked on the Maple project since 1983. Maple is a Computer Algebra Systems. It was developed at the University of Waterloo in the 1980s.

I can supervise graduate students at Simon Fraser University who are interested in pursuing a graduate degree in Computer Algebra at the Ph.D. and Masters' level. Students need to have an interest for both mathematics and computer science and be interested in computer programming. Before you send me an application, please find out what Computer Algebra is, and in your letter, say why you are interested in doing Computer Algebra and what programming experience you have. I especially want to encourage women to apply. I have two daughters. One did Civil Engineering. The other is doing Manufacturing Engineering.

For details of my current research projects, please see my recent publications.

Graduate Students

    Mantej Sohki, MSc. in applied mathematics, just started.
    Yiming Li, MSc. in pure mathematics, just started.
    Archit Srivastava, MSc. in pure mathematics, in progress.
    Mahsa Ansari, Ph.D. in pure mathematics, in progress.
    Garrett Paluck, Ph.D. in pure mathematics, in progress.
    Sophie Hoare, MSc. in applied mathematics, graduated April 2023.
    Mahdi Javadi. M.Sc. in computer science, November 2006.
  • Thesis: A Sparse Modular GCD Algorithm for Polynomials over Algebraic Function Fields.
    Aaron Bradford. M.Sc. in pure mathematics, April 2006.
  • Project: Computing Discrete Logarithms in GF(p).
    Allan Wittkopf. Ph.D. in applied and computational mathematics, October 2004.
  • Thesis: Algorithms and Implementations for Differential Elimination.
    Stephen Tse. M.Sc. in computing science, July 2002.
  • Thesis: Algorithms and Bounds for Resultants.
    Jennifer de Kleine. M.Sc. in computing science, 2001.
  • Project: A Modular Design and Implementation of Buchberger's Algorithm.
    Laurent Bernardin. Ph.D. in computer science, ETH Zentrum, September 1999.
  • Thesis: Factorization of Multivariate Polynomials over Finite Fields.

Undergraduate Students

    Khalil Shifji, Dixon Resultants, NSERC 2019.
    Robyn Hearn, Big Data, 2018.
  • Roots of Polynomials.
    Ryan Mehregan, NSERC 2018.
  • Hensel Lifting.
    Gabriel Henderson, NSERC 2017.
  • Sparse Interpolation.
    Jesse Elliott, NSERC 2016.
  • Sparse Interpolation.
    Alex Fan, RA 2016.
  • Sparse Interpolation.
    Adriano Arce, VPR 2015.
  • Discrete Logarithms.
    Hao Zhuang, USRA 2015.
  • FFT over Finite Fields.
    Marshall Law, NSERC 2014.
  • FFT multiplication mod p in parallel.
    Casie Bao, VPR 2014.
  • Measuring river flow (discharge).
    Mathew Gibson, NSERC 2013.
  • Algorithms for GCDs over finite fields.
    Alan Wong, NSERC 2013.
  • Computing Tutte polynomials.
    Shraddha Ramesh, NSERC 2011.
  • Algorithms for finite groups.
    Jaiganesh Balasundarum, MITACS Globalink 2011.
  • Fast polynomial arithmetic.
    Stephen Melczer, NSERC 2010.
  • Algebraic geometry.
    Julian Sahrasbuhde, NSERC 2009.
  • Graph theory.
    Bill Bao, NSERC 2009.
  • Scientific computing.
    Asif Zaman, NSERC 2008.
  • Computational group theory.
    Andrew Arnold, NSERC 2007.
  • Graph theory and number theory.
    Simon Lo, NSERC, 2006.
  • Graph theory.
    Al Erickson, NSERC, 2006.
  • Graph theory and polynomial factorization.
    Simon Lo, NSERC, 2005.
  • Computer algebra.
    Howard Liu, NSERC, 2005.
  • Numerical integration and differentiation.
    Al Erickson, NSERC, 2005.
  • Computer algebra.
    Simon Lo, NSERC, 2004.
  • Computational linear algebra.
    Mohammed Ebrahimi, NSERC, 2004.
  • Visualizations for differential equations in Maple.
    Scott Cowan, NSERC, 2003.
  • Computational problems in cryptography and algebra.
    Aaron Bradford, NSERC, 2002.
  • Evaluating definite integrals.
    Roman Pearce, NSERC, 2001.
  • Groebner bases and ideal theoretic operations.
    George Zhang, NSERC, 2001.
  • Algorithms for testing ideals for primality and maximality.
    Jamie Mulholland, NSERC, 2001
  • Algorithms for trigonometric polynomials.
    Craig Pastro, NSERC, 2000.
  • The Modular GCD algorithm over algebraic number fields.
    Michael Ludkovski, Directed Studies, 1999.
  • Brown's and Zippel's modular GCD algorithms.
    Mark Siggers, Directed Studies, 1999
  • Univariate Hensel lifting over Euclidean domains.
    Colin Percival, Career Prep, 1998.
  • Polynomial GCDs over algebraic number fields.
    Rene Rodoni, Diplomarbeit, ETH Zurich, 1995.
  • An Implementation of the Forward adn Reverse Mode in Maple.
    Roger Margot, Diplomarbeit, ETH Zurich, 1995.
  • Univariate polynomial GCD's over Q(alpha).
    Igor Berchtold, Diplomarbeit, ETH Zurich, 1993.
  • Sparse Matrix Determinants over Integral Domains.
    Laurent Bernardin, Diplomarbeit, ETH Zurich, 1993.
  • Factorization of multivariate polynomials over a finite field.
    Walter Neuenschwander, Diplomarbeit, ETH Zurich, 1992.
  • Algorithmische Differentiation.
    Stefan Schwendimann, Diplomarbeit, ETH Zurich, 1992.
  • Ein Softwarepaket fuer die algebraische, projektive Geometrie.

p. (778) 782-4279 · Shrum Science K 10501 · Department of Mathematics · Simon Fraser University · 8888 University Drive · Burnaby · BC · V5A 1S6 · Canada