Ian Goulden
   HOME

TheInfoList



Click Here for Items Related To - Ian Goulden
OR:
Ian Goulden on:   [Wikipedia]   [Google]   [Amazon]

Ian P. Goulden is a Canadian and British
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, structure, space, models, and change. History On ...
. He works as a professor at the
University of Waterloo The University of Waterloo (UWaterloo, UW, or Waterloo) is a public research university with a main campus in Waterloo, Ontario Waterloo is a city in the Canadian province of Ontario. It is one of three cities in the Regional Municipality ...
in the department of
Combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
and
Optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
. He obtained his PhD from the
University of Waterloo The University of Waterloo (UWaterloo, UW, or Waterloo) is a public research university with a main campus in Waterloo, Ontario Waterloo is a city in the Canadian province of Ontario. It is one of three cities in the Regional Municipality ...
in 1979 under the supervision of
David M. Jackson David M.R. Jackson is a professor at the University of Waterloo in the department of combinatorics and optimization. He graduated from Cambridge University in 1969. Jackson has been responsible for many developments in enumerative combinatorics ...
. His PhD thesis was titled ''Combinatorial Decompositions in the Theory of Algebraic Enumeration''. Goulden is well known for his contributions in
enumerative combinatorics Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed. Two examples of this type of problem are counting combinations and counting permutations. More generally, given an infin ...
such as the Goulden-Jackson cluster method. Goulden was the dean at the
University of Waterloo Faculty of Mathematics The Faculty of Mathematics is one of six faculties of the University of Waterloo in Waterloo, Ontario, offering more than 500 courses in mathematics, statistics and computer science. The faculty also houses the David R. Cheriton School of Comput ...
from 2010 to 2015 and served as chair of the Department of Combinatorics and Optimization three times.


Awards and honors

In 2010 Goulden was elected as a Fellow of the
Royal Society of Canada The Royal Society of Canada (RSC; french: Société royale du Canada, SRC), also known as the Academies of Arts, Humanities and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bil ...
. In 2009 received the
University of Waterloo Faculty of Mathematics The Faculty of Mathematics is one of six faculties of the University of Waterloo in Waterloo, Ontario, offering more than 500 courses in mathematics, statistics and computer science. The faculty also houses the David R. Cheriton School of Comput ...
Award for Distinction in Teaching, and in 1976 he received the Alumni Gold Medal for highest academic achievement at the
University of Waterloo The University of Waterloo (UWaterloo, UW, or Waterloo) is a public research university with a main campus in Waterloo, Ontario Waterloo is a city in the Canadian province of Ontario. It is one of three cities in the Regional Municipality ...
.


Contributions

Goulden and Jackson published the book ''Combinatorial Enumeration''. Goulden also published the book ''Finite Mathematics'' with R.G. Dunkley, R.J. MacKay, K.S. Brown, R.F. de Peiza, D.A. DiFelice, and D.E. Matthews. He has written over 90 research articles in the fields of
Combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...
,
Enumerative Combinatorics Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed. Two examples of this type of problem are counting combinations and counting permutations. More generally, given an infin ...
, and
Algebraic Geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
.


Selected publications

* Goulden, I. P. and Jackson, D. M. (2004).
''Combinatorial Enumeration''
. * * *


See also

*
List of University of Waterloo people The University of Waterloo, located in Waterloo, Ontario, Canada, is a comprehensive public university that was founded in 1957 by Drs. Gerry Hagey and Ira G. Needles. It has grown into an institution of more than 42,000 students, faculty, and ...


References


External links

* {{DEFAULTSORT:Goulden, Ian Year of birth missing (living people) Living people Canadian mathematicians Academic staff of the University of Waterloo University of Waterloo alumni