Clement W. H. Lam
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Clement Wing Hong Lam () is a Canadian mathematician, specializing in
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
. He is famous for the computer proof, with Larry Thiel and S. Swiercz, of the nonexistence of a
finite projective plane In mathematics, a projective plane is a geometric structure that extends the concept of a plane (geometry), plane. In the ordinary Euclidean plane, two lines typically intersect at a single point, but there are some pairs of lines (namely, paral ...
of order 10. Lam earned his PhD in 1974 under Herbert Ryser at
Caltech The California Institute of Technology (branded as Caltech) is a private university, private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small g ...
with thesis ''Rational G-Circulants Satisfying the Matrix Equation A^2=d I+\lambda J''. He is a professor at
Concordia University Concordia University () is a Public university, public English-language research university located in Montreal, Quebec, Canada. Founded in 1974 following the merger of Loyola College (Montreal), Loyola College and Sir George Williams Universit ...
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 ...
. In 2006 he received the
Euler medal The Institute of Combinatorics and its Applications (ICA) is an international scientific organization formed in 1990 to increase the visibility and influence of the combinatorial community. In pursuit of this goal, the ICA sponsors conferences, ...
. In 1992 he received the
Lester Randolph Ford Award ''The American Mathematical Monthly'' is a peer-reviewed scientific journal of mathematics. It was established by Benjamin Finkel in 1894 and is published by Taylor & Francis on behalf of the Mathematical Association of America. It is an exposito ...
for the article ''The search for a finite projective plane of order 10''. The eponymous Lam's problem is equivalent to finding a finite projective plane of order 10 or finding 9 orthogonal
Latin square Latin ( or ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally spoken by the Latins in Latium (now known as Lazio), the lower Tiber area around Rome, Italy. Through the expansion o ...
s of order 10.Lam´s Problem at Mathworld
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See also

*
Experimental mathematics Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns. It has been defined as "that branch of mathematics that concerns itself ultimately with th ...


References


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{{DEFAULTSORT:Lam, Clement W. H. Canadian mathematicians Combinatorialists California Institute of Technology alumni Academic staff of Concordia University Living people Year of birth missing (living people) Place of birth missing (living people)