Joy Morris
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Joy Morris (born 1970) is a Canadian mathematician whose research involves group theory, graph theory, and the connections between the two through Cayley graphs. She is also interested in mathematics education, is the author of two open-access undergraduate mathematics textbooks, and oversees a program in which university mathematics education students provide a drop-in mathematics tutoring service for parents of middle school students. She is a professor of mathematics at the University of Lethbridge.


Education and career

Morris is originally from Toronto, Ontario. Both her parents had doctorates; she was the youngest of their four children, another of whom also earned a Ph.D.. She was educated through various alternative-education and gifted-student programs in the Toronto public school system. She graduated from Trent University in 1992 with a double major in mathematics and English, and with fourth-year honours in mathematics earned in part through a summer research project with
Brian Alspach Brian Roger Alspach is a mathematician whose main research interest is in graph theory. Alspach has also studied the mathematics behind poker, and writes for ''Poker Digest ''and ''Canadian Poker Player'' magazines. Biography Brian Alspach was bo ...
at Simon Fraser University. She entered graduate study directly after graduating, continuing to work with Alspach at Simon Fraser, and completed her doctorate in 2000 with a dissertation on ''Isomorphisms of Cayley Graphs''. Morris joined the Lethbridge faculty in 2000, and was promoted to full professor in 2015. her position as a professor at Lethbridge was for half-time.


Mathematics education

In 2017, after learning about the frustrating experiences of her middle-school daughter's friends' parents, Morris founded a drop-in mathematics tutoring center through the University of Lethbridge, in which Lethbridge mathematics education students would tutor middle-school parents on the mathematics their children were learning, and provide educational activities for the parents to do with their children. The program was successful, and has continued in subsequent years.


Other contributions

Morris's results in groups, graphs, and the symmetries of groups and graphs include a proof of
Toida's conjecture In combinatorial mathematics, Toida's conjecture, due to Shunichi Toida in 1977, is a refinement of the disproven Ádám's conjecture from 1967. Statement Both conjectures concern circulant graphs. These are graphs defined from a positive integer ...
according to which, for certain
circulant graph In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes called a cyclic graph, but this term has other meanings. Equivalent definitions Circ ...
s (the Cayley graphs of finite cyclic groups), every symmetry of the graph comes from a symmetry of the underlying group. According to Toida's conjecture, this equivalence between group and graph symmetries should be valid when all of the members of the generating set of the group used to construct the graph are individually generators of the group. Morris has written two open textbooks in mathematics for the undergraduate students at Lethbridge. They are: *''Proofs and Concepts: the fundamentals of abstract mathematics'' (with Dave Witte Morris, 2013) *''Combinatorics: an upper-level introductory course in enumeration, graph theory, and design theory'' (2017)


References


External links


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* {{DEFAULTSORT:Morris, Joy 1970 births Living people Canadian mathematicians Women mathematicians Graph theorists Group theorists Academic staff of the University of Lethbridge