CENTRE FOR ALGEBRA, LOGIC AND COMPUTATION
(CALC)
of the
College of Arts &
Science
University of Saskatchewan
106 Wiggins Road
Saskatoon, SK, S7N 5E6, Canada
Phone: (306) 9666081  Fax: (306) 9666086
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, ominimal
structures, exponentiallogarithmic 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":

A frequent and welcome guest to our seminar: Serban Belinschi, assistant
professor.
Current additional Members:
Mickael Matusinski, postdoctoral fellow.
Katarzyna Osiak, short
term postdoctoral fellow.
Past additional Members:
Andreas Fischer,
postdoctoral fellow, then sessional lecturer (20062008).
Tim Netzer,
predoctoral fellow (MayOct. 2007).
Igor Klep,
postdoctoral fellow, (MaySept. 2007).
Ron Brown (Hawaii),
visiting professor, (Fall of 2006).
Pawel Gladki, PhD student
(20032007).
Wei Fan, MSc student (20042006).
Ulrich
Hermisson, postdoctoral fellow (20042005).
Antongiulio
Fornasiero, postdoctoral fellow (20042005).
Mohamed El Bachraoui, postdoctoral fellow (20032004).
Svetlana Morozova, postdoctoral fellow (20032004).
Alexei Zenkov, postdoctoral fellow (20032004).
Jaka Cimpric
(Ljubljana), NATO postdoctoral fellow, July 2001  June 2003
Roland Auer, postdoctoral fellow, January 2002  May 2003
Mikhail Kotchetov,
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.
Matthias Aschenbrenner
and Markus
Schweighofer, short term postdoctoral fellows
Marcus
Tressl (Leeds),
Vincent Astier
(Konstanz) and Olivier Piltant (Versailles), short term postdoctoral
fellows
Last but not least, as a frequent guest of our seminar: Jonathon
Funk, assistant professor.
Recent graduate 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 EhrenfeuchtFraissé
Games on Chains., Saskatoon (Summer 2002).

Wei Fan, M.Sc. Thesis: Nonnegative polynomials on compact
semialgebraic 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).
Recent NSERC undergraduate Summer students:

Amy Mader, project title: Sturm's Algorithm (Computer Program, August
1999).

Chira Chilliack, project title: The Orthogonal Group of Euclidean Space
(August 2000).

Chris Arbuthnott, project title: A proof of Rosenlicht's Lemma (December
2000).

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
2003).

Erin Dramnitzki, project title: MaxCut Algorithm (Summer
2005).
The centre is organizing the weekly
Together with other members of the Mathematical Sciences Group,
we have organized the
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!
PAST CONFERENCES and MEETINGS:

International Conference
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
Chatzidakis).

The Third Annual
Colloquiumfest (March 2002). Speakers: Astier, Auer, Craven,
Cutkosky, Knaf, Mosteig, Parrilo, Tara Smith, Sturmfels, Tressl.

Saskatchewan
Algebra and Number Theory Minimeeting, University of Regina
Main Campus, September 20 and 21, 2002.

The Second
Saskatchewan Mathematics Minimeeting, Saskatoon, January 31 and
February 1, 2003.

The Fourth Annual
Colloquiumfest (March 2003). Speakers: van den Dries,
Ehrlich, Kaiser, Otero, Pitteloud, Scanlon, Simonetta, Speissegger,
Steinhorn, Tressl.

Local
Uniformization and Resolution of Singularities. Research in
Teams at the Banff International
Research Station, August 16  September 06, 2003. Organized by
FranzViktor Kuhlmann and Dale Cutkosky. See the
final
report.

Special
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
Colloquiumfest
Paris, April 5 and 6, 2004

The Sixth Annual
Colloquiumfest
Saskatoon, April 1 and 2, 2005

Saskatchewan Mathematics MiniMeeting
Regina, April 15 and 16, 2005

Valuation
Theory and Integral Closures in Commutative Algebra
Fields Institute Summer School & Conference
July 322, 2006, University of Ottawa, Ottawa, Canada

MiniConference
Topics in Real Algebraic Geometry
Saskatoon, October 5 and 6, 2006

The Seventh
Colloquiumfest
Saskatoon, October 3 and 4, 2008

The Eighth
Colloquiumfest
New York, March 6 and 7, 2009
RESEARCH SEMINARS:

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
Guests.

Geometric Algebra seminar (19992000). Our graduate students lectured
on Artin's book.

Seminar on Sturm Algebra (Summer 1999). For our undergraduate NSERC
Summer Students.
OTHER ACTIVITIES:

We have revived and organized a lively Department Colloquium (19972001).
We obtained a Colloquium Fund from the Department in order to support guests
from abroad. See
Colloquium Talks
1997/1998 
1998/1999 
1999/2000 
2000/2001 
2001/2002 
2002/2003 
20022005
Have a look at the September 2002
On
Campus News article
about our research unit.
Last update: April 16, 2009  created
and maintained by FranzViktor Kuhlmann