mathematics

Lisa Jeffrey

Lisa Jeffrey 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 Lisa Jeffrey rather than just read about it. In short: Lisa Claire Jeffrey FRSC is a Canadian mathematician, a professor of mathematics at the University of Toronto. In her research, she uses symplectic geometry to provide rigorous proofs of results in quantum field theory.

Key takeaways

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

Reference excerpt

Lisa Claire Jeffrey FRSC is a Canadian mathematician, a professor of mathematics at the University of Toronto. In her research, she uses symplectic geometry to provide rigorous proofs of results in quantum field theory.

Education and career Jeffrey graduated from Princeton University in 1986. She was awarded the Marshall Scholarship and obtained her doctorate from the University of Oxford in 1991, under the supervision of Sir Michael Atiyah. After working as postdoctoral researcher at the Institute for Advanced Study, she became an assistant professor at Princeton in 1992. She then moved to McGill University in 1995, and became full professor at the University of Toronto in 1997. Jeffrey was the 2001 winner of the Krieger–Nelson Prize and the 2002 winner of the Coxeter–James Prize. In 2007 she became a fellow of the Royal Society of Canada, and in 2012 she became a fellow of the American Mathematical Society. She was chosen to give the Association for Women in Mathematics-American Mathematical Society 2017 Noether Lecture at the Joint Mathematics Meetings.

Selected publications Quantum fields and strings: a course for mathematicians. Vol. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Edited by Pierre Deligne, Pavel Etingof, Daniel S. Freed, Lisa C. Jeffrey, David Kazhdan, John W. Morgan, David R. Morrison and Edward Witten. American Mathematical Society, Providence, RI; Institute for Advanced Study (IAS), Princeton, NJ, 1999. Vol. 1: xxii+723 pp.; Vol. 2: pp. i–xxiv and 727–1501. ISBN 0-8218-1198-3, 81-06 (81T30 81Txx)

References

External links personal web page

Worked examples

Example 1 — a first encounter with Lisa Jeffrey

Start with the simplest possible case. Write down what Lisa Jeffrey 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 Lisa Jeffrey 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 Lisa Jeffrey 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 Lisa Jeffrey

In research: Lisa Jeffrey 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 Lisa Jeffrey 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: Lisa Jeffrey is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century Canadian women scientists, Academic staff of McGill University, Academic staff of the University of Toronto Scarborough, so understanding it makes those chapters shorter.
In everyday life: Look for Lisa Jeffrey 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 Lisa Jeffrey in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Lisa Jeffrey means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Lisa Jeffrey out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Lisa Jeffrey in simple terms?

Why does Lisa Jeffrey 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 Lisa Jeffrey?

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 Lisa Jeffrey.