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Paul Seymour (mathematician)

Paul Seymour (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 Paul Seymour (mathematician) rather than just read about it. In short: Paul D. Seymour (born 1950) is a British mathematician known for his work in discrete mathematics, especially graph theory.

Paul Seymour (mathematician) — main illustration
Paul Seymour (mathematician) — illustration

Key takeaways

  • Paul Seymour (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 Paul Seymour (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Paul Seymour (mathematician) from memory before moving on to harder problems.

Reference excerpt

Paul D. Seymour (born 1950) is a British mathematician known for his work in discrete mathematics, especially graph theory. He (with others) was responsible for important progress on regular matroids and totally unimodular matrices, the four colour theorem, linkless embeddings, graph minors and structure, the perfect graph conjecture, the Hadwiger conjecture, claw-free graphs, χ-boundedness, and the Erdős–Hajnal conjecture. Many of his recent papers are available from his website. Seymour is currently the Albert Baldwin Dod Professor of Mathematics at Princeton University. He won a Sloan Fellowship in 1983, and the Ostrowski Prize in 2003; and (sometimes with others) won the Fulkerson Prize in 1979, 1994, 2006 and 2009, and the Pólya Prize in 1983 and 2004. He received an honorary doctorate from the University of Waterloo in 2008, one from the Technical University of Denmark in 2013, and one from the École normale supérieure de Lyon in 2022. He was an invited speaker in the 1986 International Congress of Mathematicians and a plenary speaker in the 1994 International Congress of Mathematicians. He became a Fellow of the Royal Society in 2022.

Early life Seymour was born in Plymouth, England in 1950. Seymour was a student at Plymouth College, and then studied at Exeter College, Oxford, gaining a BA degree in 1971, MS degree in 1972, and D.Phil and MA in 1975. His doctoral dissertation, Matroids, Hypergraphs and the Max-Flow Min-Cut Theorem, was supervised by Aubrey William Ingleton.

Career From 1974 to 1976 he was a college research fellow at University College of Swansea. Then he returned to Oxford for 1976–1980 as a Junior Research Fellow at Merton College, Oxford, with the year 1978–79 at University of Waterloo. He became an associate and then a full professor at Ohio State University, Columbus, Ohio, between 1980 and 1983, where he began research with Neil Robertson, a fruitful collaboration that continued for many years. From 1983 until 1996, he was a senior scientist at Bellcore (Bell Communications Research), Morristown, New Jersey (now Telcordia Technologies). He was also an adjunct professor at Rutgers University from 1984 to 1987 and at the University of Waterloo from 1988 to 1993. He became professor at Princeton University in 1996. At Princeton he was given the Albert Baldwin Dod Professorship in 2016. He is Editor-in-Chief (jointly with Carsten Thomassen) for the Journal of Graph Theory, and an editor for Combinatorica and the Journal of Combinatorial Theory, Series B.

Personal life Seymour's brother Leonard W. Seymour is Professor of gene therapy at Oxford University. In 1979, Seymour got married and had two children.

… excerpt ends here. Continue reading the full article.

Illustrations

Paul Seymour (mathematician) illustration
Paul Seymour (mathematician): Seymour giving a talk in 2010
Seymour giving a talk in 2010

Worked examples

Example 1 — a first encounter with Paul Seymour (mathematician)

Start with the simplest possible case. Write down what Paul Seymour (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 Paul Seymour (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 Paul Seymour (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 Paul Seymour (mathematician)

In research
Paul Seymour (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 Paul Seymour (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
Paul Seymour (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1950 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Paul Seymour (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 Paul Seymour (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Paul Seymour (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 Paul Seymour (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Paul Seymour (mathematician) in simple terms?

Paul D. Seymour (born 1950) is a British mathematician known for his work in discrete mathematics, especially graph theory.

Why does Paul Seymour (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 Paul Seymour (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 Paul Seymour (mathematician).

Tags

  • 1950 births
  • 20th-century American mathematicians
  • 21st-century American mathematicians
  • Alumni of Exeter College, Oxford
  • American fellows of the Royal Society
  • Fellows of Merton College, Oxford
  • Graph theorists
  • Living people
  • Ohio State University faculty
  • People educated at Plymouth College
  • Princeton University faculty

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