Computational Algebra Group at SFU

2017 Preprints, Posters and Theses

John Kluesner
Resolving zero divisors of radical triangular sets using Hensel lifting and applications.
[ Masters Thesis (.pdf) ]

Yusuf Baris Tuncer
Solving Multivariate Diophantine Equations and their Role in Multivariate Polynomial Factorization.
[ PhD Thesis (.pdf) ]

Justine Gauthier
Fast multipoint evaluation on n arbitrary points.
[ Masters Project (.pdf) ]

Hao Ze
Fast Power Series Inversion: Newton's Iteration and the Middle Product Optimization.
[ Masters Project (.pdf) ]

Marshall Law
Computing Characteristic Polynomials of Matrices of Structured Polynomials.
[ Masters Thesis (.pdf) ]

Garrett Paluck
Computing with polynomials using black box representation.
[ Poster (.pdf) ] Presented at the 2017 Symposium on Mathematics and Computation, SFU, August 15, 2017.

John Kluesner and Michael Monagan
Resolving zero-divisors using Hensel lifting.
Presented at the 2017 conference on Computer Algebra in Scientific Computing (CASC 2017)
[ Preprint (.pdf) ] [ Slides (.pdf) ]

Erick Castellon and John F. Ogilvie
How can we effectively improve the mathematical capabilities of students of chemistry?
[ Preprint (.pdf) ]

Matthew Gibson and Michael Monagan
Parallel root finding over finite fields.
[ Preprint (.pdf) ]

Michael Monagan and Alan Wong
Fast parallel multi-point evaluation of sparse polynomials.
Presented at the 2017 workshop on Parallel Symbolic Computation (PASCO 2017)
[ Preprint (.pdf) ]

Michael Monagan and Roman Pearce
An Algorithm For Splitting Polynomial Systems Based On F4
Presented at the 2017 workshop on Parallel Symbolic Computation (PASCO 2017)
[ Preprint (.pdf) ]

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