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Simon P. Norton

Simon P. Norton 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 Simon P. Norton rather than just read about it. In short: Simon Phillips Norton (28 February 1952 – 13 February 2019) was a mathematician in Cambridge, England, who worked on finite simple groups. Education Simon Norton was born into a Sephardi family of Iraqi descent, the youngest of three brothers.

Key takeaways

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

Reference excerpt

Simon Phillips Norton (28 February 1952 – 13 February 2019) was a mathematician in Cambridge, England, who worked on finite simple groups.

Education Simon Norton was born into a Sephardi family of Iraqi descent, the youngest of three brothers. From 1964 he was a King's Scholar at Eton College, where he earned a reputation as an eccentric mathematical genius and was taught by Norman Routledge. He obtained an external first-class degree in Pure Mathematics at the University of London while still at the school, commuting to Royal Holloway College. He also represented the United Kingdom at the International Mathematical Olympiad thrice consecutively starting from 1967, winning a gold medal each time and two special prizes in 1967 and 1969. He then went up to Trinity College, Cambridge, and achieved a first in the final examinations.

Career and life He stayed at Cambridge, working on finite groups. Norton was one of the authors of the ATLAS of Finite Groups. He constructed the Harada–Norton group and in 1979, together with John Conway proved there is a connection between the Monster group and the j-function in number theory. They dubbed this "monstrous moonshine", and made some conjectures later proved by Richard Borcherds. Norton also made several early discoveries in Conway's Game of Life, and invented the game Snort. In 1985, Cambridge University did not renew his contract. Norton is the subject of the biography The Genius in My Basement, written by his Cambridge tenant, Alexander Masters, which describes his eccentric lifestyle and his life-long obsession with buses. He was also an occasional contributor to Word Ways: The Journal of Recreational Linguistics. Norton was very interested in transport issues and was a member of Subterranea Britannica. He coordinated the local group of the Campaign for Better Transport (United Kingdom), and had done so since the organisation was known as Transport 2000, writing most of the newsletter for the local Cambridge group and tirelessly campaigning for efficient, inclusive and environmentally friendly public transport in the region and across the United Kingdom. He collapsed and died in north London, aged 66, of a heart condition on 13 February 2019.

Selected publications

Cummins, C. J.; Norton, S. P. (1995). "Rational Hauptmoduls are replicable". Canadian Journal of Mathematics. 47 (6): 1201–1218. doi:10.4153/cjm-1995-061-1. S2CID 123645483. Norton, S. P. (1996). "Non-monstrous moonshine". In Arasu, K. T.; Dillon, J. F.; Harada, K.; Sehgal, S.; Solomon, R. (eds.). Groups, Difference Sets, and the Monster: Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993. Walter de Gruyter. pp. 433–441. ISBN 9783110147919. Norton, S.P. (1996). "Free transposition groups". Communications in Algebra. 24 (2): 425–432. doi:10.1080/00927879608825578. Norton, S. P. (1998). "Anatomy of the Monster: I". In Curtis, Robert T.; Wilson, Robert A. (eds.). The Atlas of Finite Groups: Ten Years On. London Mathematical Society Lecture Note Series, 249. pp. 198–214. ISBN 9780521575874. Norton, Simon (2001). "Computing in the Monster". Journal of Symbolic Computation. 31 (1–2): 193–201. doi:10.1006/jsco.1999.1008. Norton, Simon P.; Wilson, Robert A. (2002). "Anatomy of the Monster: II". Proceedings of the London Mathematical Society. 84 (3): 581–598. doi:10.1112/S0024611502013357. S2CID 2279725.

References

External links Simon Phillips Norton at the Mathematics Genealogy Project Simon P. Norton's results at International Mathematical Olympiad Simon Norton at the Cambridge mathematics department Turner, Jenny (24 August 2011). "The Genius in My Basement by Alexander Masters – review". The Guardian. Retrieved 31 August 2015. Feature profile on National Public Radio's Weekend Edition Sunday, 02/26/12 The Genius In My Basement Cambridgeshire Campaign for Better Transport (Archive) coordinated by Simon Norton, who authored the bulk of the newsletters and reports.

Worked examples

Example 1 — a first encounter with Simon P. Norton

Start with the simplest possible case. Write down what Simon P. Norton 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 Simon P. Norton 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 Simon P. Norton 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 Simon P. Norton

In research
Simon P. Norton 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 Simon P. Norton 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
Simon P. Norton is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1952 births, 2019 deaths, 20th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Simon P. Norton 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 Simon P. Norton in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Simon P. Norton 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 Simon P. Norton out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Simon P. Norton in simple terms?

Simon Phillips Norton (28 February 1952 – 13 February 2019) was a mathematician in Cambridge, England, who worked on finite simple groups. Education Simon Norton was born into a Sephardi family of Iraqi descent, the youngest of three brothers.

Why does Simon P. Norton 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 Simon P. Norton?

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 Simon P. Norton.

Tags

  • 1952 births
  • 2019 deaths
  • 20th-century English mathematicians
  • 21st-century English mathematicians
  • Alumni of Trinity College, Cambridge
  • British mathematician stubs
  • British people of Iraqi-Jewish descent
  • Cambridge mathematicians
  • Cellular automatists
  • Group theorists
  • International Mathematical Olympiad participants
  • People educated at Eton College

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