Toufik Mansour is an Israeli mathematician working in
algebraic combinatorics
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...
. He is a member of the
Druze
The Druze (; ar, دَرْزِيٌّ, ' or ', , ') are an Arabic-speaking esoteric ethnoreligious group from Western Asia who adhere to the Druze faith, an Abrahamic, monotheistic, syncretic, and ethnic religion based on the teachings of ...
community and is the first Israeli Druze to become a professional mathematician.
Mansour obtained his Ph.D. in mathematics from the
University of Haifa
The University of Haifa ( he, אוניברסיטת חיפה Arabic: جامعة حيفا) is a university located on Mount Carmel in Haifa, Israel. Founded in 1963, the University of Haifa received full academic accreditation in 1972, becoming Is ...
in 2001 under Alek Vainshtein. As of 2007, he is a professor of mathematics at the University of Haifa.
Faculty members
, Mathematics Department, University of Haifa, retrieved 2014-09-06.
He served as chair of the department from 2015 to 2017. He has previously been a faculty member of the Center for Combinatorics at Nankai University
Nankai University (NKU or Nankai; ) is a national public research university located in Tianjin, China. It is a prestigious Chinese state Class A Double First Class University approved by the central government of China, and a member of the fo ...
from 2004 to 2007, and at The John Knopfmacher Center for Applicable Analysis and Number Theory at the University of the Witwatersrand
The University of the Witwatersrand, Johannesburg (), is a multi-campus South African Public university, public research university situated in the northern areas of central Johannesburg. It is more commonly known as Wits University or Wits ( o ...
.
Mansour is an expert on 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 ...
and its applications. In particular, he is interested in permutation pattern In combinatorial mathematics and theoretical computer science, a permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation as a sequence of digits representing the result of applying the pe ...
s, colored permutations, set partitions, combinatorics on words
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The subject looks at letters or symbols, and the sequences they form. Combinatorics on words ...
, and compositions
Composition or Compositions may refer to:
Arts and literature
* Composition (dance), practice and teaching of choreography
*Composition (language), in literature and rhetoric, producing a work in spoken tradition and written discourse, to include ...
. He has written more than 260 research papers, which means that he publishes a paper roughly every 20 days, or that he produces one publication page roughly every day.
Books
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See also
*List of Israeli Druze
This is a list of notable Israeli Druze.
The list is ordered by category of human endeavor. Persons with significant contributions in two fields are listed in both of the pertinent categories, to facilitate easy lookup.
Politicians and governme ...
*Schröder–Hipparchus number
In combinatorics, the Schröder–Hipparchus numbers form an integer sequence that can be used to count the number of plane trees with a given set of leaves, the number of ways of inserting parentheses into a sequence, and the number of ways of di ...
References
External links
Home page
an
Google Scholar profileORCID profile
{{DEFAULTSORT:Mansour, Toufik
Israeli mathematicians
1968 births
Living people