Department Of Mathematics And Statistics, McGill University
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The Department of Mathematics and Statistics is an
academic department An academic department is a division of a university or school Faculty (division), faculty devoted to a particular academic discipline. In the United Kingdom and other Commonwealth of Nations, Commonwealth countries, universities tend to use the t ...
at
McGill University McGill University (French: Université McGill) is an English-language public research university in Montreal, Quebec, Canada. Founded in 1821 by royal charter,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, ...
. It is located in Burnside Hall at McGill's downtown campus in
Montreal Montreal is the List of towns in Quebec, largest city in the Provinces and territories of Canada, province of Quebec, the List of the largest municipalities in Canada by population, second-largest in Canada, and the List of North American cit ...
. The discipline of
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
was taught at McGill as early as 1848; however, it was divided into two independent departments until 1924. Following its emergence, it remained almost entirely a service department until the 1940s, when several department members began promoting research within it. The department's library was established at 1971.


History

Mathematics was taught at McGill as early as 1848 when it was a discipline of
Natural Philosophy Natural philosophy or philosophy of nature (from Latin ''philosophia naturalis'') is the philosophical study of physics, that is, nature and the physical universe, while ignoring any supernatural influence. It was dominant before the develop ...
. Mathematics at McGill was initially divided into two largely independent departments, one under the Faculty of Arts and Science and another under the Faculty of Engineering; the two departments merged in 1924 under the chairmanship of Daniel Murray. Still, mathematics remained subsidiary to other programs, owing to McGill's emphasis on
engineering Engineering is the practice of using natural science, mathematics, and the engineering design process to Problem solving#Engineering, solve problems within technology, increase efficiency and productivity, and improve Systems engineering, s ...
and British-style
applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
. Until 1945, Mathematics was almost wholly a service department with only seven faculty members. Though a small graduate program was shared with the Physics Department, most of the students in the program were headed for further graduate work in physics. In 1945, department members Lloyd Williams and Gordon Pall founded the Canadian Mathematical Congress, which took the lead in persuading the National Research Council to make funds available for the support of
pure mathematics Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications ...
. Meanwhile, as chairman of the department, A. H. S. Gillon initiated in 1945 an Applied Mathematics program and in 1948 recommended for appointment to a professorship
Hans Zassenhaus Hans Julius Zassenhaus (28 May 1912 – 21 November 1991) was a German mathematician, known for work in many parts of abstract algebra, and as a pioneer of computer algebra. Biography He was born in Koblenz in 1912. His father was a historian and ...
, a pure mathematician who began to attract a number of strong graduate students into his program. Zassenhaus, along with Professors Wacław Kozakiewicz, Charles Fox, Edward Rosenthall, and Phil Wallace, was instrumental in developing the Department's Graduate School. McGill's first mathematics Ph.D. was awarded to
Joachim Lambek Joachim "Jim" Lambek (5 December 1922 – 23 June 2014) was a Canadian mathematician. He was Peter Redpath Emeritus Professor of Pure Mathematics at McGill University, where he earned his PhD degree in 1950 with Hans Zassenhaus as advisor. B ...
, who obtained his doctorate in 1950 under Zassenhaus's supervision. In 1963, as public funds came to the university and a larger budget became available, the newly appointment chairman, Edward Rosenthall, concentrated on building a balanced and well-qualified academic team, which could sustain a vigorous graduate program along with the demands made upon the department in a service capacity.
Analysis Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
and
algebra Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...
became strong elements in the department's program in the late 1960s and the early 1970s, and there was also a lively interest in
statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
and in
applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
. Research in
category theory Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory ...
began in 1966, when Lambek decided to promote the subject at McGill. The number of full-time staff in the department had grown to 36 by 1960, and to 56 by 1970. The Departmental library was established in 1971, and dedicated in 1987 in honour of Edward Rosenthall. At the time of its closure in 2015, the Rosenthall Library held over 14,000
mathematics journals Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include numb ...
dating from the nineteenth century, more than 10,000
monograph A monograph is generally a long-form work on one (usually scholarly) subject, or one aspect of a subject, typically created by a single author or artist (or, sometimes, by two or more authors). Traditionally it is in written form and published a ...
s, as well as a collection of rare mathematics books.


Research

Members of the Department of Mathematics and Statistics are active in directing research in
algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
,
analysis Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
,
applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
,
category theory Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory ...
and
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
,
discrete mathematics Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous f ...
,
geometric group theory Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these group ...
,
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
, and
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
and
statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
.


Notable members


Current members

* Michael Barr *
Henri Darmon Henri Rene Darmon (born 22 October 1965) is a French-Canadian mathematician. He is a number theorist who works on Hilbert's 12th problem and its relation with the Birch–Swinnerton-Dyer conjecture. He is currently a professor of mathematics at ...
, Coxeter–James Prize (1997),
Cole Prize The Frank Nelson Cole Prize, or Cole Prize for short, is one of twenty-two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to numbe ...
(2017),
CRM-Fields-PIMS Prize The CRM-Fields-PIMS Prize is the premier Canadian research prize in the mathematical sciences. It is awarded in recognition of exceptional research achievement in the mathematical sciences and is given annually by three Canadian mathematics institu ...
(2017) * Stephen Drury *
Christian Genest Christian Genest (; born January 11, 1957, in Chicoutimi, Quebec) is a professor in the Department of Mathematics and Statistics at McGill University (Montréal, Canada), where he held a Canada Research Chair between 2011 and 2015. He is the auth ...
* Pengfei Guan , Sloan Fellowship (1993–1995) * Jacques Hurtubise , Coxeter–James Prize (1993) *
Niky Kamran Niky Kamran (born May 22, 1959) is a Belgian and Canadian mathematician whose research concerns geometric analysis, differential geometry, and mathematical physics. He is a Distinguished James McGill Professor in the Department of Mathematics an ...
, CRM-Fields-PIMS Prize (2014) * Michael Makkai * Arak Mathai * Daniel Wise , CRM-Fields-PIMS Prize (2016),
Guggenheim Fellowship Guggenheim Fellowships are Grant (money), grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon Guggenheim, Simon and Olga Hirsh Guggenheim. These awards are bestowed upon indiv ...
(2016)


Former members

*
Marta Bunge Marta Cavallo Bunge (; 1938 – 25 October 2022) was an Argentine-Canadian mathematician specializing in category theory, and known for her work on synthetic calculus of variations and synthetic differential topology. She was a professor emeritus ...
, Professor (1969–2003) * Donald Dawson , Associate Professor (1963–1970, 2000–2010), CRM-Fields-PIMS Prize (2004) *
Arthur Eve Arthur Owen Eve (born March 23, 1933) is a retired American politician who served as a Democratic member of the New York State Assembly (1967–2002) and Deputy Speaker of the Assembly (1979–2002) representing districts in Buffalo, New Yor ...
* Charles Fox, Professor (1949–1967) * Lisa Jeffrey , Associate Professor (1995–1998) * Alexander Johnson, Professor (1857–1903) * Peter Hammer, Faculty Member (1969–1972) * James Harkness , Professor (1903–1923) * Carl Herz, Professor (1970–1995) * John David Jackson, Assistant then Associate Professor of mathematical physics (1950-1957) *
Donald Kingsbury Donald MacDonald Kingsbury (born 12 February 1929, in San Francisco) is an American–Canadian science fiction author. Kingsbury taught mathematics at McGill University, Montreal, from 1956 until his retirement in 1986. Bibliography Books ...
, Assistant Professor (1956–1986) *
Joachim Lambek Joachim "Jim" Lambek (5 December 1922 – 23 June 2014) was a Canadian mathematician. He was Peter Redpath Emeritus Professor of Pure Mathematics at McGill University, where he earned his PhD degree in 1950 with Hans Zassenhaus as advisor. B ...
Professor (1950–1992) * Edmund Allen Meredith * Daniel Murray, Professor (1908–1930), Chairman (1924–1930) * Ram Murty , Professor (1982–1996) *
Jonathan Pila Jonathan Solomon Pila (born 1962) FRS One or more of the preceding sentences incorporates text from the royalsociety.org website where: is an Australian mathematician at the University of Oxford University of Melbourne in 1984. He was awarded ...
, Assistant Professor (2003–2005) * Maksym Radziwill, Assistant Professor (2016–2018) * Hans Schwerdtfeger , Professor (1957–1983) *
Jean-Pierre Serre Jean-Pierre Serre (; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the inau ...
, Visitor (1967) * Charles Thompson Sullivan , Professor (1908–1946), Departmental Chair (1930–1947) *
Endre Szemerédi Endre Szemerédi (; born August 21, 1940) is a Hungarian-American mathematician and computer scientist, working in the field of combinatorics and theoretical computer science. He has been the State of New Jersey Professor of computer science a ...
, Visiting Professor (1980); Pólya Prize (1975),
Steele Prize The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have b ...
(2008), Abel Prize (2012) * Henry Marshall Tory * Phil Wallace * Peter Wynn * Alexandru Zaharescu, Post-Doctoral Fellow (1997–1999) *
Hans Zassenhaus Hans Julius Zassenhaus (28 May 1912 – 21 November 1991) was a German mathematician, known for work in many parts of abstract algebra, and as a pioneer of computer algebra. Biography He was born in Koblenz in 1912. His father was a historian and ...
, Professor (1949–1959)


See also

*
McGill University School of Computer Science The School of Computer Science is an academic department in the McGill University Faculty of Science, Faculty of Science at McGill University in Montreal, Montreal, Quebec, Canada. The School is the second most funded computer science department i ...


References

{{Mathematics in Canada Research institutes in Canada McGill McGill University