(Willy Mills, who had not been touched by humans or mathematics
before the age of four months, had conquered calculus by the age
of two.)
Educational Background
The Pennsylvania State University: attended 1966-70, Ph.D. in Mathematics, 1970.
Western Washington State College (now Western Washington University): attended 1961-66, BA in Mathematics, 1965.
Additional work in applied mathematics at Virginia Polytechnic
Institute and State University: 1974.
Professional Experience
Seattle University: Professor, Sept. 1984-present; granted tenure 1988; on leave of absence 1988-89; Chair of department, July 1989-1996, 1997-2003, 2007-present.
University of Richmond: Visiting Professor, 1988-89
James Madison University: Asst. Prof., 1974-78; Assoc. Prof., 1978-83; Professor, 1983-84; granted tenure 1980.
Virginia Polytechnic Institute and State University: Instructor, March-June 1973, Sept.-Dec. 1972.
University of Florida: Asst. Professor, 1970-71.
Professional Publications
RESEARCH PUBLICATIONS:
1. "The structure of w-regular semigroups," J. fur reine und angewandt Math. 251 (1971), 110-141. (co-author Mario Petrich). Announced in Bulletin of American Mathematical Society, 77 (1971), 196-199.
2. "Regular semigroups which are extensions of groups," Pacific J. Mathematics, 41 (1972), 303-306.
3. "Extensions of one primitive inverse semigroup by another," Canadian J. Mathematics 24 (1972), 270-278.
4. "The translational hull of an inverse semigroup," Glasgow Mathematical J. 14 (1973), 56-64.
5. "Semigroups with midunits," Transactions Amer. Math Soc. 190 (1974), 375-384.
6. "Semigroups with bisimple and simple w-subsemigroups," Semigroup Forum 9 (1975), 318-333.
7. "Group congruences on a bisimple w-semigroup," Semigroup Forum 10 (1975), 351-366.
8. "CertaIn congruences on orthodox semigroups," Pacific J. Mathematics 64 (1976), 217-226.
9. "A class of uniform bands," Semigroup Forum 16 (1978), 53-66.
10. "The idempotents of a class of 0-simple inverse semigroups," Pacific J. Mathematics 81 (1979), 159-166.
11. "Describing uniform bands in terms of uniform semilattices," Semigroup Forum 21 (1980), 373-381.
12. "Matrices of bisimple regular semigroups," Semigroup Forum 26 (1983) 117-123.
13. "Matrix congruences on orthodox semigroups,"
Semigroup Forum 31 (1985), 87-97.
14. "The inverse semigroup of partial symmetries of a polygon,"
Semigroup Forum, 41 (1990)127-143.
15. "Factorizable semigroup of partial symmetries of a regular polygon," Rocky Mountain J. of Mathematics, 23 (1993), 1081-1090.
16. "Combinatorially factorizable inverse monoids," Semigroup Forum, 59 (1999), 220-232.
17. "Maximal subgroups of the semigroup of partial symmetries of a regular polygon," involve, a journal of mathematics, 1 (2008), 33-46. (co-author Thomas Shelly).
PUBLICATIONS RELATED TO THE TEACHING OF ABSTRACT ALGEBRA
1. "One group in several disquises," International J. Math. Ed. in Science and Technology, 18 (1987), 753-759. Reviewed in Media Highlights, College Mathematics Journal, 20 (1989), 453.
2. "Inverse semigroups through groups," International J. Math Ed. in Science and Technology, 21 (1990), 93-98.
3. "Teaching equivalence relations using collaborative activities," International J. Math Ed. in Science and Technology, 35 (2004), 517-522.
Other Scholarly Activities
and Awards
Summer Faculty Fellowships at James Madison University (1976 and 1982), at Seattle University (1987, 1990, and 1999)
Seattle University Research Sabbatical (1993-94)
Biography included in American Men and Women in Science and in the World's Who's Who of Women
Areas of Particular Teaching
Interest
Abstract Algebra, Introduction to Advanced Mathematics, Linear Algebra, Calculus
Professional Service
For twenty eight years I served as a reviewer for Mathematical Reviews and have also referreed articles that had been submitted for publication in Pacific Journal of Mathematics, Semigroup Forum, and Mathematica in Education. I have also served as a reviewer for several textbooks and served on a panel to review grant proposals in calculus for the National Science Foundation and two panels to select the recipients of the NSF Graduate Fellowships.
I am a member of the Mathematical Association of America and the Association for Women in Mathematics.
Contact Information
Janet E. Mills
Seattle University
Mathematics Department
901 12th Avenue
P.O. Box 222000
Seattle Washington, 98122-4340
(206) 296-5922
jemills@seattleu.edu
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