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Joan Hutchinson

Joan Hutchinson 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 Joan Hutchinson rather than just read about it. In short: Joan Prince Hutchinson (born 1945) is an American mathematician and Professor Emerita of Mathematics from Macalester College. Education Joan Hutchinson was born in Philadelphia, Pennsylvania; her father was a demographer and university professor, and her mother a mathematics teacher at the Baldwin School, which Joan also attended.

Key takeaways

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

Reference excerpt

Joan Prince Hutchinson (born 1945) is an American mathematician and Professor Emerita of Mathematics from Macalester College.

Education Joan Hutchinson was born in Philadelphia, Pennsylvania; her father was a demographer and university professor, and her mother a mathematics teacher at the Baldwin School, which Joan also attended. She studied at Smith College in Northampton, Massachusetts, graduating in 1967 summa cum laude with an honors paper directed by Prof. Alice Dickinson. After graduation she worked as a computer programmer at the Woods Hole Oceanographic Institute and at the Harvard University Computing Center then studied mathematics (and English change ringing on tower bells) at the University of Warwick in Coventry England. Returning to the United States, Hutchinson did graduate work at the University of Pennsylvania earning a Ph.D. in mathematics in 1973 under the supervision of Herbert S. Wilf.

Career She was a John Wesley Young research instructor at Dartmouth College, 1973–1975. She and her husband, fellow mathematician Stan Wagon, taught at Smith College, 1975–1990, and at Macalester College, 1990–2007. At both colleges they shared a full-time position in mathematics. She spent sabbaticals, taught, and held visiting positions at Tufts University, Carleton College, University of Colorado Boulder, University of Washington, University of Michigan, Mathematical Sciences Research Institute in Berkeley, California, and University of Colorado Denver. She has served on committees of the American Mathematical Society, the Mathematical Association of America (MAA), SIAM Special Interest Group on Discrete Math (SIAM-DM), and the Association for Women in Mathematics, involved with the latter organization since a graduate student during its founding days in 1971. Mentoring women students and younger colleagues has been an important concern of her professional life. She served as the vice-chair of SIAM-DM, 2000–2002. She was a member of the editorial board of the American Mathematical Monthly, 1986–1996, and continues on the board of the Journal of Graph Theory since 1993.

Research Her research has focused on graph theory and discrete mathematics, specializing mainly in topological and chromatic graph theory and on visibility graphs; for overviews of this work see Hutchinson (2009) and Dean & Hutchinson (2014).[H09][DH14] She has published over 75 research and expository papers in graph theory, many with Michael O. Albertson, formerly of Smith College. In one of their most cited works, Albertson and Hutchinson completed work of Gabriel Andrew Dirac related to the Heawood conjecture by proving that, on any surface other than the sphere or Klein bottle, the only graphs meeting Heawood's bound on the chromatic number of surface-embedded graphs are the complete graphs.[AH79] She has also considered algorithmic aspects in these areas, for example, generalizing the planar separator theorem to surfaces.[GHT84] With S. Wagon she has co-authored papers on algorithmic aspects of the four color theorem.[HW98] Albertson and Hutchinson also wrote together the textbook Discrete Mathematics with Algorithms.[AH88]

Awards and honors In 1994 she received the Carl B. Allendoerfer Award of the Mathematical Association of America for the expository article on the Earth–Moon problem in Mathematics Magazine.[H93] The work of this paper was also included in an issue of What’s Happening in the Mathematical Sciences and in the Mathematical Recreations column of Scientific American. In 1998 she was a winner of the MAA North Central Section Teaching Award, and in 1999 she was a winner of the Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics. On the occasion of her 60th birthday, she was the honoree at the Graph Theory with Altitude conference at the University of Colorado Denver, organized by her former student Ellen Gethner, professor of computer science.

Selected publications

References

Worked examples

Example 1 — a first encounter with Joan Hutchinson

Start with the simplest possible case. Write down what Joan Hutchinson 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 Joan Hutchinson 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 Joan Hutchinson 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 Joan Hutchinson

In research
Joan Hutchinson 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 Joan Hutchinson 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
Joan Hutchinson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1945 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Joan Hutchinson 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 Joan Hutchinson in 20 minutes

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

Frequently asked questions

What is Joan Hutchinson in simple terms?

Joan Prince Hutchinson (born 1945) is an American mathematician and Professor Emerita of Mathematics from Macalester College. Education Joan Hutchinson was born in Philadelphia, Pennsylvania; her father was a demographer and university professor, and her mother a mathematics teacher at the Baldwin…

Why does Joan Hutchinson 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 Joan Hutchinson?

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 Joan Hutchinson.

Tags

  • 1945 births
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • Carleton College faculty
  • Dartmouth College faculty
  • Graph theorists
  • Living people
  • Macalester College faculty
  • Mathematicians from Pennsylvania
  • Smith College alumni

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