Joseph Kirtland

Last updated

Joseph Kirtland is a mathematician, specializing in group theory. [1] His 2000 book Identification Numbers and Check Digit Schemes won the 2002 Beckenbach Book Prize. [2]

Contents

Biography

Kirkland matriculated in 1981 at Syracuse University, where he graduated in 1985 with a B.S. in mathematics. At the University of New Hampshire, he graduated in mathematics with an M.S. in 1987 and a Ph.D. in 1992. [1] His Ph.D. thesis Finite Groups as a Generalization of Vector Spaces through the Use of Splitting Systems was supervised by Homer Franklin Bechtell Jr. (1929–2022). [3] [4] In September 1992, Kirtland joined the staff of the computer science and mathematics department of Marist College. From the academic year 1994–1995 to the academic year 2006–2007, he received 10 times the Faculty Recognition Award given by Marist College's Student Academic Council. In 2002 the Metropolitan New York Section of the Mathematics Association of America (MAA) gave him their Award for Distinguished College or University Teaching of Mathematics. [1] At Marist College, he has taught a wide variety of mathematics courses. [5] Kirtland, the author of three books, has done research on group theory and has published not only on group theory but also on linear algebra, mathematics education, and mathematical computing. [1]

Personal life

Kirtland and his wife Cindy are the parents of a son and a daughter. [6] He and his wife have hiked all of the mountains over 3,500 feet (1,100 m) in the Catskill Mountains. [1]

Selected publications

Articles

Books

Related Research Articles

In abstract algebra, the center of a group G is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning center. In set-builder notation,

<span class="mw-page-title-main">Otto Hölder</span> German mathematician (1859–1937)

Ludwig Otto Hölder was a German mathematician born in Stuttgart.

<span class="mw-page-title-main">Geometric group theory</span> Area in mathematics devoted to the study of finitely generated groups

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 groups can act non-trivially.

In mathematics, especially in the area of algebra known as group theory, the Prüfer rank of a pro-p group measures the size of a group in terms of the ranks of its elementary abelian sections. The rank is well behaved and helps to define analytic pro-p-groups. The term is named after Heinz Prüfer.

<span class="mw-page-title-main">Wilhelm Killing</span> German mathematician

Wilhelm Karl Joseph Killing was a German mathematician who made important contributions to the theories of Lie algebras, Lie groups, and non-Euclidean geometry.

In mathematics, a Ree group is a group of Lie type over a finite field constructed by Ree from an exceptional automorphism of a Dynkin diagram that reverses the direction of the multiple bonds, generalizing the Suzuki groups found by Suzuki using a different method. They were the last of the infinite families of finite simple groups to be discovered.

A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of solutions to Diophantine equations and are typically functions from a set of points on algebraic varieties to the real numbers.

The Verhoeff algorithm is a checksum for error detection first published by Dutch mathematician Jacobus Verhoeff in 1969. It was the first decimal check digit algorithm which detects all single-digit errors, and all transposition errors involving two adjacent digits, which was at the time thought impossible with such a code.

<span class="mw-page-title-main">Dan Segal</span> British mathematician

Daniel Segal is a British mathematician and a Professor of Mathematics at the University of Oxford. He specialises in algebra and group theory.

In mathematics, a Hopfian group is a group G for which every epimorphism

<span class="mw-page-title-main">Hajós's theorem</span>

In group theory, Hajós's theorem states that if a finite abelian group is expressed as the Cartesian product of simplexes, that is, sets of the form where is the identity element, then at least one of the factors is a subgroup. The theorem was proved by the Hungarian mathematician György Hajós in 1941 using group rings. Rédei later proved the statement when the factors are only required to contain the identity element and be of prime cardinality. Rédei's proof of Hajós's theorem was simplified by Tibor Szele.

Judith Victor Grabiner is an American mathematician and historian of mathematics, who is Flora Sanborn Pitzer Professor Emerita of Mathematics at Pitzer College, one of the Claremont Colleges. Her main interest is in mathematics in the eighteenth and nineteenth centuries.

In the area of modern algebra known as group theory, the Suzuki groups, denoted by Sz(22n+1), 2B2(22n+1), Suz(22n+1), or G(22n+1), form an infinite family of groups of Lie type found by Suzuki, that are simple for n ≥ 1. These simple groups are the only finite non-abelian ones with orders not divisible by 3.

In mathematics, a cyclically ordered group is a set with both a group structure and a cyclic order, such that left and right multiplication both preserve the cyclic order.

Conway group Co<sub>1</sub> Sporadic simple group

In the area of modern algebra known as group theory, the Conway groupCo1 is a sporadic simple group of order

<span class="mw-page-title-main">Moshe Jarden</span> Israeli mathematician

Moshe Jarden is an Israeli mathematician, specialist in field arithmetic.

The Beckenbach Book Prize, formerly known as the Mathematical Association of America Book Prize, is awarded to authors of distinguished, innovative books that have been published by the Mathematical Association of America (MAA). The prize, named in honor of Edwin F. Beckenbach, was established in 1983 and first awarded in 1985. The award is $2500 for the honored author and is awarded on an irregular basis. In January 1985 Charles Robert Hadlock was awarded the MAA Book Prize, which later in 1985 became the Beckenbach Book Prize.

Ascher Otto Wagner was an Austrian and British mathematician, specializing in the theory of finite groups and finite projective planes. He is known for the Dembowski–Wagner theorem.

<span class="mw-page-title-main">Wolfgang Gaschütz</span>

Wolfgang Gaschütz was a German mathematician, known for his research in group theory, especially the theory of finite groups.

David Earl Zitarelli was an American mathematician and historian of mathematics, known for his 2-volume work on the history of mathematics in the United States and Canada.

References

  1. 1 2 3 4 5 "Bio: Dr. Joseph Kirtland, Professor of Mathematics". Marist College.
  2. "Beckenbach Book Prize". maa.org. Mathematical Association of America.
  3. Joseph Kirtland at the Mathematics Genealogy Project
  4. "Homer F. Bechtell, Jr. (1929–2022)". Kent & Pelczar Funeral Home & Crematory. New Market, New Hampshire.
  5. "Joseph Kirtland". Coursicle, Marist College.
  6. "Introduction & Bibliography for Identification Numbers and Check Digit Schemes by Joseph Kirtland" (PDF). AMS/MAA | Classroom Resource Materials, volume 18, American Mathematical Society (ams.org).
  7. Ensley, Doug (August 22, 2001). "review of Identification Numbers and Check Digit Schemes by Joseph Kirtland". MAA Reviews, Mathematical Association of America.
  8. "Dr. Joseph Kirtland (with discussion of Complementation of Normal Subgroups published by De Gruyter)". Profiles, Marist College.