Research

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My field is Computer Algebra.
My PhD dissertation was titled Combinatorial Criteria for Gröbner Bases, directed by Hoon Hong.

Opportunities for undergraduate researchStudent research projects I’ve directed
CVRecent researchPublicationsPreprintsPosters
TalksSoftwareAssociationsService
Illustrations of research

(Some information needs updating. This web page has been moved twice, so some links are likely broken — contact me if so.)

Curriculum Vitæ

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Research interests:

combinatorial games fraction-free computation of determinants Gröbner basis computation
  • Ideal Nim (a generalization of Chomp)
  • methods of Dodgson and Bareiss
  • Double-Crossing Method
  • Extended Dodgson’s Method
  • dynamic algorithms
  • signature-based algorithms (inspired by Faugère’s F5)
  • extended criteria for skipping S-polynomial reduction

Sample posters:

Posters are unrefereed, and by their nature contain out-of-date information.

Refereed publications:

2017
2016
2014
2011
2010
2007
2005
  • Combinatorial Criteria for Gröbner Bases (PhD dissertation: PDF)

Preprints:

Preprints on arxiv.org have not been refereed, unless otherwise noted. My page on arxiv is here. More on the way...

Students:

Samples of talks:

Software:

Research-orientedTeaching-oriented
All software is open source, unless otherwise noted. I contribute to other projects when I can, and have in the past contributed material to LyX (at least one document format), jEdit (format for the Maple language), and Sage (see here, but mostly I contributed to the MILP and Singular modules).

Research-oriented

Teaching-oriented

Apps for Android devices

Associations:

Past Service:

Illustrations of research:



If you have questions or suggestions or bug reports, please do contact me.