mathematics

Jane M. Hawkins

Jane M. Hawkins 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 Jane M. Hawkins rather than just read about it. In short: Jane Margaret Hawkins is an American mathematician known for her research in dynamical systems and complex dynamics, including cellular automata and Julia sets. She is a professor of mathematics at the University of North Carolina at Chapel Hill.

Key takeaways

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

Reference excerpt

Jane Margaret Hawkins is an American mathematician known for her research in dynamical systems and complex dynamics, including cellular automata and Julia sets. She is a professor of mathematics at the University of North Carolina at Chapel Hill. More recent research has included work on cellular automata models for the spread of HIV, Hepatitis C and Ebola.

Education and career Hawkins was raised in Schenectady, New York. Her father was a chemical engineer. She graduated from the College of the Holy Cross in Worcester, Massachusetts, with a Bachelor of Science in mathematics in 1976 as class valedictorian. She then won a Marshall Scholarship to pursue graduate studies in England, earning her M.Sc. in mathematics and Ph.D. in mathematics specializing in catastrophe theory from the University of Warwick in 1981. Her doctoral dissertation, completed under Klaus Schmidt, was titled, Type III Diffeomorphisms of Manifolds. She taught at the State University of New York, Stony Brook from 1980 to 1987, before moving to the University of North Carolina at Chapel Hill. Her book Ergodic Dynamics was published by Springer in 2021. Her book The Mathematics of Cellular Automata was published by AMS in 2024. And her third book, Mathematics for Artificial Intelligence, was published in 2026.

Service In 2004, Hawkins presented testimony to a subcommittee of the House Committee on Appropriations in support of grants to mathematical research, and again in 2012. She served as Treasurer of the American Mathematical Society, chair of the AMS Investment Committee, and Board of Trustees Member from 2011 until February 1, 2021. She is also a former AMS Council member at large. Hawkins has done a lot of outreach for women in mathematics, most notably participating in the George Washington University's Summer Program for Women in Math (SPWM) as a faculty member, guest lecturer, and panel moderator between 1999 and its final year in 2013.

Recognition Hawkins was the first female valedictorian at the College of the Holy Cross. In 2012, Hawkins became an inaugural fellow of the American Mathematical Society.

Personal Hawkins is married to mathematician Michael E. Taylor, whom she credits with encouraging her with continuing in research.

References

External links Home page

Worked examples

Example 1 — a first encounter with Jane M. Hawkins

Start with the simplest possible case. Write down what Jane M. Hawkins 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 Jane M. Hawkins 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 Jane M. Hawkins 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 Jane M. Hawkins

In research: Jane M. Hawkins 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 Jane M. Hawkins 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: Jane M. Hawkins is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 20th-century American women mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jane M. Hawkins 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 Jane M. Hawkins in 20 minutes

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

Frequently asked questions

What is Jane M. Hawkins in simple terms?

Why does Jane M. Hawkins 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 Jane M. Hawkins?

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 Jane M. Hawkins.