William Thomas Trotter Jr. is an American mathematician, who is on the faculty of the Department of Mathematics at the

Georgia Institute of Technology The Georgia Institute of Technology, commonly referred to as Georgia Tech or, in the state of Georgia, as Tech or The Institute, is a public research university and institute of technology in Atlanta, Georgia. Established in 1885, it is part of ...

. His main expertise is

partially ordered set In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a Set (mathematics), set. A poset consists of a set toget ...

s, but he has also done significant work in other areas 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 ...

, such as the

Szemerédi–Trotter theorem The Szemerédi–Trotter theorem is a mathematical result in the field of Discrete geometry. It asserts that given points and lines in the Euclidean plane, the number of incidences (''i.e.'', the number of point-line pairs, such that the point ...

and Chvátal-Rödl-Szemerédi-Trotter theorem. Trotter is the author of the book ''Combinatorics and partially ordered sets: dimension theory'' (Johns Hopkins University Press, 1992). With Mitchel Keller, he is also the author of a self-published textbook, ''Applied Combinatorics'' (2017).

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William T. (Tom) Trotter
Living people 20th-century American mathematicians 21st-century American mathematicians Georgia Tech faculty Year of birth missing (living people) {{US-mathematician-stub