# Computational Algebra Group at SFU

# 2016 Preprints, Posters and Theses

Michael Monagan and Baris Tuncer

Some results on counting roots of polynomials and the Sylvester resultant.

[ Poster: PDF ]
[ Paper: PDF ]
FPSAC 2016, Vancouver, July 5th, 2016.

Jiaxiong Hu and Michael Monagan

A fast parallel sparse polynomial GCD algorithm.

[ Preprint ] *Proceedings of ISSAC 2016*, ACM Press, pp. 271–278, 2016.

[ Correction ] Corrects an error in the linear algebra in section 1.4.

[ Talk: PDF ] Presented at ISSAC 2016, Waterloo, July 19–22, 2016.

Michael Monagan and Baris Tuncer

Using Sparse Interpolation in Hensel Lifting.

[ Preprint: PDF ]
Accepted for CASC 2016, Bucharest, Romania, September 19–23, 2016.

Marshall Law and Michael Monagan

Computing Characteristic Polynomials of Matrices of Structured Polynomials.

[ Poster: PDF ]
Presented at ISSAC 2016, WLU, Waterloo, July 19–22, 2016.

Presented at the 2016 Symposium on Mathematics and Computation, SFU, August 15, 2016.

[ Paper: PDF ] Accepted for CASC 2016, Bucharest, Romania, September 19–23, 2016.

Michael Monagan and Alan Wong

Fast parallel multi-point evaluation of sparse polynomials.

[ Poster: PDF ]
Presented at ISSAC 2016, WLU, Waterloo, July 19–22, 2016.

Presented at the 2016 Symposium on Mathematics and Computation, SFU, August 15, 2016.

[ Talk: PDF ]
Presented at MICA 2016, University of Wateroo, Waterloo, July 18, 2016.

Jesse Elliott

Recovery of exponents of polynomials of high degree.

[ Poster (.pdf) ]
Presented at the 2016 Symposium on Mathematics and Computation, SFU, August 15, 2016.

[ Honours Thesis (.pdf) ] Presented at SFU, December, 2016.

John Ogilvie

The hydrogen atom -- wave mechanics beyond Schroedinger;
orbitals as algebraic formulae derived in all four coordinate systems

Ciencia y Technologia **32**(1) 1–24 (2016)

John Ogilvie

The hydrogen atom according to wave mechanics - I. spherical polar coordinates

Ciencia y Technologia **32**(2) 1–24 (2016)

John Ogilvie

The hydrogen atom according to wave mechanics - II. paraboloidal coordinates

Ciencia y Technologia **32**(2) 25–39 (2016)

John Ogilvie

The hydrogen atom according to wave mechanics - III. ellipsoidal coordinates

Ciencia y Technologia **32**(2) 40–53 (2016)

John Ogilvie

The hydrogen atom according to wave mechanics - IV. spheroconical coordinates

Ciencia y Technologia **32**(2) 54–68 (2016)

John Ogilvie

The hydrogen atom according to wave mechanics - V. implications of multiple coordinate systems

Ciencia y Technologia **32**(2) 69–84 (2016)

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