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Thomas Storer (American mathematician)

Thomas Storer (American mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Thomas Storer (American mathematician) rather than just read about it. In short: Thomas Frederick Storer (1938 – November 9, 2006) was a Navajo American mathematician who studied combinatorics and cyclotomy. He was a professor at the University of Michigan, and was one of the first Native Americans to become a PhD mathematician.

Thomas Storer (American mathematician) — main illustration
Thomas Storer (American mathematician) — illustration

Key takeaways

  • Thomas Storer (American mathematician) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Thomas Storer (American mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Thomas Storer (American mathematician) from memory before moving on to harder problems.

Reference excerpt

Thomas Frederick Storer (1938 – November 9, 2006) was a Navajo American mathematician who studied combinatorics and cyclotomy. He was a professor at the University of Michigan, and was one of the first Native Americans to become a PhD mathematician. In addition to his mathematical research, teaching, and mentoring, Storer also did notable work on string figures.

Education and career Storer, a citizen of the Navajo Nation, was born in 1938. He attended the University of California, Los Angeles for his bachelors degree, with the help of a football scholarship. He went on to the University of Southern California for his graduate work, receiving an MA in 1962, and a PhD in 1964. His thesis was titled A Family of Generalized Difference Sets, and was advised by Albert Whiteman. Storer was one of the first Native Americans to complete a PhD in mathematics; Native Hawaiian Edwin Mookini completed his PhD in the same year. In 1965, after a short period in residence in Princeton, New Jersey at the Institute for Advanced Study, Storer went to the University of Michigan, where he remained for the rest of his career. He was promoted to full professor in 1979, and retired to emeritus status in 2001. At the University of Michigan, Storer was known as a teacher and mentor. In 1985, he received the Amoco Foundation Good Teaching Award. Storer was an advocate for Native American causes on the University of Michigan campus, and learned the language spoken by the Ojibwe people in Michigan. Ten doctoral students completed their PhDs with Storer as their thesis advisor, including Peyton Young (co-advised with Jack Edmonds).

String figures Storer also wrote several works on string figures, the designs formed by manipulating string around one's fingers. His bibliography on the topic went through three editions. He also wrote a monograph on string figures, which appeared as a two-volume special issue of the Bulletin of String Figures Association.

In his monograph, he devised a notation system for compactly and precisely describing string figures. The International String Figure Association began recommending that contributors use either the older notation of Haddon and Rivers, or else a modified, more verbose version of Storer's notation.

For example, Storer's monograph encodes the sequence of steps for making the Osage 2-Diamonds string figure (pictured) as follows:

Here, the fingers are encoded with the numerals 1 through 5, with 1 representing the thumb and 5 representing the little finger. The notation describes a sequence of movements of a loop held by one finger (a "functor", written before a set of parentheses), relative to a loop held by another finger (an "object", written inside parentheses). The symbol ◻ {\displaystyle \square } denotes releasing a loop of string, while the vertical line | {\displaystyle \vert } denotes moving hands apart so that the string is not slack.

Personal life Storer was married to Karen Storer for a period of over 30 years. They had two daughters. Storer died on November 9, 2006.

Selected publications Storer, Thomas (1967). Cyclotomy and difference sets. Lectures in Advanced Mathematics. Vol. 2. Markham Publishing Co. MR 0217033. Zbl 0157.03301. Storer, Thomas (2000). String Figure Bibliography (PDF) (3rd ed.). ISFA Press. ISBN 0-9651467-5-8. Earlier editions: 1st ed. (1985), Bulletin of SFA, vol. 12; 2nd ed. (1996), ISFA Press, ISBN 0965146715. Storer, T. (1988). "String Figures". Bulletin of String Figures Association. 16 (Supplemental Issue in Two Parts). Nippon Ayatori Kyokai: 410 pages.

See also Difference sets

References

Illustrations

Thomas Storer (American mathematician) illustration
Thomas Storer (American mathematician) illustration
Thomas Storer (American mathematician) illustration
Thomas Storer (American mathematician): Osage 2-Diamonds string figure
Osage 2-Diamonds string figure

Worked examples

Example 1 — a first encounter with Thomas Storer (American mathematician)

Start with the simplest possible case. Write down what Thomas Storer (American mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Thomas Storer (American mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Thomas Storer (American mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Thomas Storer (American mathematician)

In research
Thomas Storer (American mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Thomas Storer (American mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Thomas Storer (American mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 2006 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Thomas Storer (American mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Thomas Storer (American mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Thomas Storer (American mathematician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Thomas Storer (American mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Thomas Storer (American mathematician) in simple terms?

Thomas Frederick Storer (1938 – November 9, 2006) was a Navajo American mathematician who studied combinatorics and cyclotomy. He was a professor at the University of Michigan, and was one of the first Native Americans to become a PhD mathematician.

Why does Thomas Storer (American mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Thomas Storer (American mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Thomas Storer (American mathematician).

Tags

  • 1938 births
  • 2006 deaths
  • 20th-century American mathematicians
  • 21st-century American mathematicians
  • Combinatorialists
  • Navajo people
  • University of California, Los Angeles alumni
  • University of Michigan faculty
  • University of Southern California alumni

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