Gary Michael Seitz (May 10, 1943 – October 30, 2023) was an American
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, a Fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
and a College of Arts and Sciences Distinguished Professor Emeritus in Mathematics at the
University of Oregon
The University of Oregon (UO, U of O or Oregon) is a Public university, public research university in Eugene, Oregon, United States. Founded in 1876, the university is organized into nine colleges and schools and offers 420 undergraduate and gra ...
. He received his Ph.D. from the University of Oregon in 1968, where his adviser was
Charles W. Curtis
Charles Whittlesey Curtis (born October 13, 1926) is a mathematician and historian of mathematics, known for his work in finite group theory and representation theory. He is a retired professor of mathematics at the University of Oregon.
Research ...
finite
Finite may refer to:
* Finite set, a set whose cardinality (number of elements) is some natural number
* Finite verb, a verb form that has a subject, usually being inflected or marked for person and/or tense or aspect
* "Finite", a song by Sara Gr ...
group
A group is a number of persons or things that are located, gathered, or classed together.
Groups of people
* Cultural group, a group whose members share the same cultural identity
* Ethnic group, a group whose members share the same ethnic iden ...
s. Seitz was active in the effort to exploit the relationship between algebraic groups and the
finite groups of Lie type
In mathematics, specifically in group theory, the phrase ''group of Lie type'' usually refers to finite groups that are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. The phra ...
, in order to study the structure and
representations
''Representations'' is an interdisciplinary journal in the humanities published quarterly by the University of California Press. The journal was established in 1983 and is the founding publication of the New Historicism movement of the 1980s. It ...
of groups in the latter class. Such information is important in its own right, but was also critical in the
classification of the finite simple groups
In mathematics, the classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is either cyclic, or alternating, or belongs to a broad infinite class called ...
, a major achievement of 20th century mathematics. Seitz made contributions to the classification of finite simple groups, such as those containing standard
subgroup
In group theory, a branch of mathematics, a subset of a group G is a subgroup of G if the members of that subset form a group with respect to the group operation in G.
Formally, given a group (mathematics), group under a binary operation ...
s of Lie type. Following the classification, he pioneered the study of the subgroup structure of simple algebraic groups, and as an application went a long way towards solving the maximal subgroup problem for finite groups. For this work he received the Creativity Award from the National Science Foundation in 1991.
Education and career
Seitz received his B.A. and Masters at
University of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...
. He went on to earn his
Ph.D.
A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
at the
University of Oregon
The University of Oregon (UO, U of O or Oregon) is a Public university, public research university in Eugene, Oregon, United States. Founded in 1876, the university is organized into nine colleges and schools and offers 420 undergraduate and gra ...
in 1968. He joined the faculty of the
University of Illinois at Chicago
The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois, United States. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the Universi ...
in 1968. In 1970, he moved to University of Oregon as assistant professor, where he became a full professor in 1977 and a CAS Distinguished Professor in 2000. In his tenure at University of Oregon he also served as the Department Head of Mathematics and Associate Dean for the sciences in the College of Arts and Sciences. He served as thesis advisor fo ten PhD students of whom eight currently hold academic positions. He was a visiting professor at the
Institute for Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
, California Institute of Technology, Cambridge University, Institut des Hautes Etudes Scientifiques, Imperial College, Tel Aviv University, Utrecht University, Tokyo University, among other institutions. In 2004, about a dozen mathematicians gathered for an international conference at the University of Oregon to honor his work.
Personal life
Seitz was born in 1943 in Santa Monica, California.
Seitz died on October 30, 2023.