Raymond Joseph Grinnell

Background

Raymond Joseph Grinnell was born on December 5, 1962, in Toronto, Ontario, Canada, to William Harold Grinnell and Geraldine May McClelland Grinnell. His Canadian background preceded an academic career that later took him to universities in Saskatchewan, Prince Edward Island, Barbados, and Ontario.

Education

Grinnell studied mathematics at the University of Toronto, receiving a Bachelor of Science degree in 1985. The University of Toronto, founded in 1827, had become Canada's largest research university and one of the country's principal centers for mathematical study by the time of his undergraduate education.

He received a Master of Arts degree from York University in Toronto in 1986. York, established in 1959, developed as a major public research university with a broad emphasis on interdisciplinary and graduate education. Grinnell completed his doctoral education at Queen's University in Kingston, Ontario, receiving a Doctor of Philosophy degree in 1991. His dissertation concerned Lorentz-improving measures on compact abelian groups, a topic in abstract harmonic analysis; Queen's mathematical tradition combines research in pure mathematics with graduate training in analysis and related fields.

Career

Grinnell began his academic career as an assistant professor of mathematics at the University of Regina in Saskatchewan from 1991 to 1992. The University of Regina developed from a regional college into a public university serving the educational and research needs of Saskatchewan, with mathematics forming part of its science curriculum.

From 1992 to 1993 he was an assistant professor of mathematics at the University of Prince Edward Island. The university, founded in 1969 through the merger of Prince of Wales College and St. Dunstan's University, combines undergraduate teaching with research and professional preparation in a small-university setting.

In 1993 Grinnell joined the University of the West Indies at the Cave Hill campus in Bridgetown, Barbados, where he served as an assistant professor and later professor of mathematics. The University of the West Indies is a regional institution established in 1948 to provide higher education and research for Caribbean countries; Cave Hill, founded in 1963, became one of its principal campuses. His work there included research and teaching in analysis, and publications from the 1990s identify his affiliation with the university's Department of Computer Science, Mathematics and Physics.

Grinnell subsequently joined the University of Toronto Scarborough, where he has taught in the Department of Computer and Mathematical Sciences. He was a senior lecturer in mathematics by 2009, later became an associate professor in the teaching stream, and was identified in 2024 as a professor in the teaching stream of Computer and Mathematical Sciences. His teaching has included calculus, introductory mathematics, and courses serving students outside specialist mathematics programs. His research interests include real analysis and harmonic analysis.

Achievements

• Grinnell's research in abstract harmonic analysis examined Lorentz-improving measures, convolution operators, Lorentz spaces, and related questions on compact abelian groups and hypergroups.

• As a university mathematics educator, Grinnell developed instruction for students from both specialist and non-specialist programs, connecting mathematical reasoning with applications, numeracy, and critical thinking.

Works

• book review

  • Introduction to the calculus of variations and its applications

    (Review by Grinnell, published in The Mathematical Gazette...)

    1997

  • Modern Real and Complex Analysis

    (Book review by Grinnell, co-authored with Bernard R. Gelb...)

    1997

• dissertation

  • Lorentz-improving measures on compact abelian groups

    (Doctoral dissertation submitted to Queen's University, ex...)

    1991

• journal article

  • Lorentz-improving measures on hypergroups

    (Article published in the New Zealand Journal of Mathemati...)

    1996

  • Two real-valued functions associated with convolutions with measures

    (Research article concerning real-valued functions arising...)

    1999

  • A duality theorem for multipliers of Lorentz spaces

    (Research article concerning multiplier operators and dual...)

    1994

  • Convolution mapping properties of Lorentz-improving measures

    (Research article examining convolution mappings generated...)

    1994
  • Lorentz-improving measures

    (Co-authored with Kathryn E. Hare and published in the Ill...)

    1994

Views

Grinnell's documented teaching approach presents mathematics as a practical discipline that develops numeracy, critical thinking, analysis, and logical reasoning. His instructional work emphasizes the value of mathematical ideas across different academic and professional fields.

Membership

Grinnell has been associated with the American Mathematical Society, the Canadian Mathematical Society, and the London Mathematical Society. These organizations support mathematical research, professional communication, publications, conferences, and the development of mathematical education internationally.

• Member.

  American Mathematical Society , United States

• Member.

  Canadian Mathematical Society , Canada

• Member.

  London Mathematical Society , United Kingdom

Personality

Accounts of Grinnell's teaching describe him as approachable and effective at explaining mathematical ideas to students with varied levels of preparation. His instructional approach has emphasized connecting mathematics with practical applications and using clear examples to engage non-specialist students.

Quotes from others about the person

• A University of Toronto Scarborough account described Grinnell as an excellent teacher and reported that students valued his accessibility and willingness to provide additional help. The account also quoted his emphasis on teaching students the value of mathematics rather than merely lecturing about it.

Interests

• Long-distance running and cycling.

• Sport & Clubs

  Long-distance running; cycling

Connections

Grinnell is the son of William Harold Grinnell and Geraldine May McClelland Grinnell.

Father:

William Harold Grinnell

Mother:

Geraldine May McClelland Grinnell

References

• Raymond Grinnell — University of Toronto Scarborough faculty profile Documents Grinnell's University of Toronto education, research interests in real and harmonic analysis, and UTSC Faculty teaching award.
• Teaching the value of math University of Toronto Scarborough article describing Grinnell's teaching approach, recognition for teaching, and work with students in mathematics courses.
  2008
• Queen's Mathematical Communicator, Summer 1995 Queen's University publication discussing Grinnell's doctoral work, his academic position at the University of the West Indies, and his assessment of Queen's mathematics department.
  1995