CENTRE FOR ALGEBRA, LOGIC AND COMPUTATION
College of Arts &
University of Saskatchewan
106 Wiggins Road
Saskatoon, SK, S7N 5E6, Canada
Phone: (306) 966-6081 - Fax: (306) 966-6086
MOST RECENT EVENTS:
The Algebra and Logic Group was founded in 1997. It has been approved
as a research unit in the College of Arts and Science in August of 2002,
and as a research centre in 2005.
It is devoted to the study of ordered and valued algebraic structures,
their model theory and their applications in various branches of
mathematics, as well as other topics in algebra.
Areas of research include: real algebra and real algebraic geometry
(quadratic forms, spaces of orderings, positivstellensätze, moment
problems, optimization), field theory (ordered fields, valued fields,
function fields, exponential fields, Hardy Fields), model theoretic
algebra (model theory of valued fields, analytic functions, o-minimal
structures, exponential-logarithmic power series, power series fields in
positive characteristic), local uniformization and resolution of
singularities, ordered algebraic structures (lexicographic orderings,
ordered vector spaces, ordered abelian groups with extra structure),
ultrametric spaces, nonassociative algebra, polynomial identities, Hopf
algebras, symbolic computation.
MEMBERS OF THE RESEARCH UNIT "ALGEBRA AND LOGIC":
Current additional Members:
A frequent and welcome guest to our seminar: Serban Belinschi, assistant
Mickael Matusinski, postdoctoral fellow.
Katarzyna Osiak, short
term postdoctoral fellow.
Past additional Members:
postdoctoral fellow, then sessional lecturer (2006-2008).
predoctoral fellow (May-Oct. 2007).
postdoctoral fellow, (May-Sept. 2007).
Ron Brown (Hawaii),
visiting professor, (Fall of 2006).
Pawel Gladki, PhD student
Wei Fan, MSc student (2004-2006).
Hermisson, postdoctoral fellow (2004-2005).
Fornasiero, postdoctoral fellow (2004-2005).
Mohamed El Bachraoui, postdoctoral fellow (2003-2004).
Svetlana Morozova, postdoctoral fellow (2003-2004).
Alexei Zenkov, postdoctoral fellow (2003-2004).
(Ljubljana), NATO postdoctoral fellow, July 2001 - June 2003
Roland Auer, postdoctoral fellow, January 2002 - May 2003
postdoctoral fellow, September 2002 - July 2003
Alexander Nenashev, short term postdoctoral fellow.
Igor Klep (Ljubljana), PhD student. He was Cimpric's student.
Dejan Veluscek (Ljubljana), PhD student. He was Cimpric's student
and visited our group for one month in 2002.
Schweighofer, short term postdoctoral fellows
(Konstanz) and Olivier Piltant (Versailles), short term postdoctoral
Last but not least, as a frequent guest of our seminar: Jonathon
Funk, assistant professor.
Recent graduate students:
Recent NSERC undergraduate Summer students:
Mahdi Zekavat, Ph.D. Thesis: Orderings, cuts and formal power series,
Saskatoon (March 2000).
Hyunku Chun, M.Sc. Thesis: The orthogonal group of an elliptic space,
Saskatoon (February 2001).
Trevor Green, M.Sc. Thesis: Properties of Chain Products and Ehrenfeucht-Fraissé
Games on Chains., Saskatoon (Summer 2002).
Wei Fan, M.Sc. Thesis: Non-negative polynomials on compact
semi-algebraic sets in one variable case, Saskatoon (2006).
Manuela Haias, M.Sc. Thesis: On the value group of exponential and
differential ordered fields, Saskatoon (2007).
Pavel Gladki, Ph.D. Thesis: The pp conjecture in the theory of spaces
of orderings, Saskatoon (2007).
The centre is organizing the weekly
Amy Mader, project title: Sturm's Algorithm (Computer Program, August
Chira Chilliack, project title: The Orthogonal Group of Euclidean Space
Chris Arbuthnott, project title: A proof of Rosenlicht's Lemma (December
Jonathon Lee (University of Waterloo), project title: Algebraic aspects
of cryptography (Summer 2002).
Duana Kipling and Kelly Skoye (University of Saskatchewan), project
title: Finite fields and coding theory (Summer 2003).
Brian Danchilla, University of Saskatchewan (Summer 2003).
- Lauren Bains and Ying Li (also supported by
USTEP), project title: Invariant nonassociative algebra
structures on representations of simple Lie algebras (Summer
Erin Dramnitzki, project title: Max-Cut Algorithm (Summer
Our 2002 summer student Allison Marles has designed for us very
detailed course outlines for courses on
for students of mathematics and statistics and for students of computer
science. One of these courses will be given as a special topics graduate
course in the second term of this academic year. Thanks to Allison for
her great work!
Together with other members of the Mathematical Sciences Group,
we have organized the
PAST CONFERENCES and MEETINGS:
and Workshop on Valuation Theory, Saskatoon, July 26 to August
11, 1999. This conference had 100 participants from all over the world.
It was generously supported by the Fields Institute, PIMS, CRM, the U of
S and the College of Arts and Science. We are editing the
in two volumes with about 40 papers and about 50 authors. Volume I has
appeared on July 15 in the Fields
Institute Communications Series. Volume II is currently in preparation
and will also be published in 2002.
Colloquiumfest in Honour of
the 60th Birthday of M. Marshall (March 2000). Speakers: Pfister,
Schmüdgen, Bröcker, Dickmann, Lichtman, Powers.
The Second Annual
Colloquiumfest (March 2001). Speakers: Aschenbrenner, Bonnard,
Cluckers, Dickmann, Powers, Prestel, Scheiderer, Schweighofer.
CMS Summer Meeting
2001, Session on Model Theoretic Algebra (June 2001). Organized
by B. Hart, F.-V. Kuhlmann and S. Kuhlmann. With one plenary speaker (Zoe
The Third Annual
Colloquiumfest (March 2002). Speakers: Astier, Auer, Craven,
Cutkosky, Knaf, Mosteig, Parrilo, Tara Smith, Sturmfels, Tressl.
Algebra and Number Theory Mini-meeting, University of Regina
Main Campus, September 20 and 21, 2002.
Saskatchewan Mathematics Mini-meeting, Saskatoon, January 31 and
February 1, 2003.
The Fourth Annual
Colloquiumfest (March 2003). Speakers: van den Dries,
Ehrlich, Kaiser, Otero, Pitteloud, Scanlon, Simonetta, Speissegger,
Uniformization and Resolution of Singularities. Research in
Teams at the Banff International
Research Station, August 16 - September 06, 2003. Organized by
Franz-Viktor Kuhlmann and Dale Cutkosky. See the
Session on Nonassociative Algebra organized by Murray Bremner,
Irvin Hentzel and Luiz Peresi, 2004 annual meeting of the AMS, Phoenix,
January 10, 2004.
The Fifth Annual
Paris, April 5 and 6, 2004
The Sixth Annual
Saskatoon, April 1 and 2, 2005
Saskatchewan Mathematics Mini-Meeting
Regina, April 15 and 16, 2005
Theory and Integral Closures in Commutative Algebra
Fields Institute Summer School & Conference
July 3-22, 2006, University of Ottawa, Ottawa, Canada
Topics in Real Algebraic Geometry
Saskatoon, October 5 and 6, 2006
Saskatoon, October 3 and 4, 2008
New York, March 6 and 7, 2009
The Algebra and
Logic Seminar. Since 1997. The list of speakers includes: M.
Aschenbrenner, E. Becker, I. Bonnard, H. Brungs, Z. Chatzidakis, J.
Cimpric, M. Dickmann, R. Dorrego, J. Funk, D. Gondard, T. Green, D.
Haskell, S. Khanduja, H. Knaf, F.-V. Kuhlmann, S. Kuhlmann, M. Marshall,
C. Miller, E. Mosteig, H. Perdry, V. Powers, A. Prestel, S. Priess, P.
Roquette, H. Schoutens, C. Scheiderer, N. Schwartz, M. Schweighofer, P.
Speissegger, M. Spivakovsky, B. Teissier. See
Past Talks of Our
Geometric Algebra seminar (1999-2000). Our graduate students lectured
on Artin's book.
Seminar on Sturm Algebra (Summer 1999). For our undergraduate NSERC
We have revived and organized a lively Department Colloquium (1997-2001).
We obtained a Colloquium Fund from the Department in order to support guests
from abroad. See
Have a look at the September 2002
Campus News article
about our research unit.
Last update: April 16, 2009 --------- created
and maintained by Franz-Viktor Kuhlmann