curriculum vitae
Dr Shayne (Francis Daley) Waldron
Present position
Education
- Technion - Israel Institute of Technology
- Postdoctoral Fellow (sponsored by the Israel Council for Higher Education), September 1995 - September 1997
- University of Wisconsin-Madison,
September 1990 - May 1995 (Fulbright scholar)
- Ph.D., May 1995
Thesis supervisor:
Professor Carl de Boor
Thesis title:
$L_p$-error bounds for multivariate polynomial interpolation schemes
Specialisation:
Approximation Theory and Numerical Analysis
Minor: Algebra and Computer Science
- M.A., December 1991
- University of Canterbury,
March 1987 - November 1989
- B.Sc.(Hons)(first class), awarded May 1990
- awarded a Senior University Scholarship,
and a UGC Postgraduate Scholarship
- awarded a Junior University Scholarship (by over 100 marks)
Previous positions
- Postdoctoral Fellow (sponsored by the Israel Council for Higher Education), Technion - Israel Institute of Technology, September 1995 - September 1997
- Research Fellow (supported the Chebyshev Professorship of Carl de Boor),
University of Wisconsin-Madison, September 1994 - August 1995
- Teaching Assistant, Department of Mathematics,
University of Wisconsin-Madison, September 1990 - August 1994
- Graduate Student (supported by a UGC fellowship), University of Canterbury, March 1990 - May 1990
Affiliations
- Member of the AMS, NZ Mathematical Society and NZ Approximation Theory
Group.
Honours
- Won first prize in the
competition for best student papers presented at the annual meeting of the
Southeastern-Altantic Section of SIAM, Charleston, South Carolina,
March 24-25, 1995
- Fulbright scholar to the US (1990-1995)
Research Interests
- The representations of the error in univariate and multivariate
polynomial interpolation schemes that are required to justify their
use in numerical methods.
The corresponding methods, particularly finite elements and numerical
integration rules. A longer description in
postscript.
Research Grants
- Currently applying for a University of Auckland New Staff Research Grant
Publications
- Total number of referred publications which have appeared or been
accepted 9 (none with coauthors). For a complete list including preprints
see here
Teaching Experience
- University of Auckland.
I have taught 14 different courses ranging from stage one to graduate
level as follows:
2006 Maths 332, 332 Maths 730
2005 Maths 332, Maths 208, Maths 730
2004 Maths 208, Maths 332
2003 Maths 130, Maths 208 (coordinator), Maths 210, Maths 335
2002 Maths 208 (coordinator), Maths 210, Maths 331, Maths 335
2001 Maths 208, Maths 731
2000 Maths 108, Maths 322, Maths 340, Maths 747
1999 Maths 108, Maths 252, Maths 322, Maths 747
1998 Maths 252, Maths 322, Maths 747
For each of these I have developed course materials, including lecture
notes and assignments with model solutions. Course and lecturer evaluations
are available for many of these (particularly the larger courses).
- Technion - Israel Institute of Technology,
September 1995 - September 1997
- I taught one graduate course each semester (numerical functional
analysis I and II, approximation theory, univariate spline theory).
- University of Wisconsin-Madison,
September 1990 - May 1993, July - August 1994
- Teaching assistant in Mathematics department for 6 semesters.
Led discussions in algebra/trigonometry, finite mathematics
(equivalent to the 4-th and 5-th form syllabus of a NZ high school),
and calculus (3 courses).
(equivalent to stage 2 engineering math in a NZ university).
Some of the calculus courses involved the use of the
package mathematica as a teaching tool.
The duties of a teaching assistant include giving or attending
lectures, setting and grading exams, staffing a drop-in tutorial
room, and assigning final grades.
- Student representative on the departmental committee on TA policy
and procedures for 1994 -1995
- University of Canterbury, March 1989 - June 1990
- Led discussions and graded assignments for engineering mathematics.
Hired by the Mathematics department to tutor direct entry students
in analysis.
Current teaching responsibilities
Current administrative duties
- Webmaster for the department, investigating a security system that would
allow 24 hour access to the library, jointly organising an international
workshop on surface/multivariate approximation and visualisation for
31 January to 5 February 1999 (to be held in the South Island)
Conferences
- Ninth International Conference on Approximation Theory,
Nashville, Tennessee.
3 - 6 January 1998
- 3rd International Conference on Functional Analysis and Approximation Theory,
Acquafredda di Maratea, Italy.
23 - 28 September 1996
- Mathematics of numerical analysis: Real number alogorithms, Park City,
Utah.
17 July - 11 August 1995
- Southeastern-Atlantic Section of SIAM Minisymposia,
Approximation theory and applications, Charleston, South Carolina.
24 - 25 March 1995
- Eighth international conference on approximation theory,
College Station, Texas.
8 - 12 January 1995
- Joint mathematics meetings (AMS, AWM, MAA, and NAM),
San Francisco, California.
4 - 7 January 1995
- Conference on polynomial inequalities, Kent State, Ohio.
29 September - 1 October 1994
- Rocky Mountain mathematics consortium summer conference,
Matrix analysis for applications, University of Wyoming.
28 June -- 9 July 1993
Citizenship
- New Zealand and Australian
Additional Information
References
- Professor Carl de Boor
Depts. of Math. and Computer Science
U. Wisconsin-Madison, Madison, WI 53706
phone (608) 263-2653, fax (608) 262-9777
e-mail: deboor@cs.wisc.edu
- Associate Professor Amos Ron
Dept. of Computer Science
U. Wisconsin-Madison, Madison, WI 53706
phone (608) 262-6621, fax (608) 262-9777
e-mail: ron@cs.wisc.edu
- Professor Aleksei Shadrin
Russian Academy of Science
Siberian branch, Computing Centre
pr. Lavrentieva, 6
630090 Novosibirsk, RUSSIA
phone (007) 3832-35-11-57, fax (007) 3832-35-79-42
shadrin@comcen.nsk.su
Current Address
Dr. Shayne Waldron
Mathematics Department
University of Auckland
Private Bag 92019, Auckland
New Zealand
Phone: +64-9-3737599 extn 5877, Fax: +64-9-3737457
Last modified 14 March 1998.