mathematics

Ruth Charney

Ruth Charney 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 Ruth Charney rather than just read about it. In short: Ruth Michele Charney (born 1950) is an American mathematician known for her work in geometric group theory and Artin groups. Other areas of research include K-theory and algebraic topology.

Key takeaways

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

Reference excerpt

Ruth Michele Charney (born 1950) is an American mathematician known for her work in geometric group theory and Artin groups. Other areas of research include K-theory and algebraic topology. She holds the Theodore and Evelyn G. Berenson Chair in Mathematics at Brandeis University. She was in the first group of mathematicians named Fellows of the American Mathematical Society. She was in the first group of mathematicians named Fellows of the Association for Women in Mathematics. She served as president of the Association for Women in Mathematics during 2013–2015, and served as president of the American Mathematical Society for the 2021–2023 term.

Life Charney attended Brandeis University, graduating in mathematics in 1972. She then attended Merce Cunningham's dance studio for a year, studying modern dance. She received her Ph.D. from Princeton University in 1977 under Wu-Chung Hsiang.

Work Following her graduation from Princeton, Charney took a postdoctoral position at University of California, Berkeley, followed by an NSF postdoctoral appointment/assistant professor position at Yale University. She worked for Ohio State University until 2003, when she returned to work at Brandeis University. Charney served as president of the Association for Women in Mathematics during 2013–2015. She emphasized the importance of encouraging young women in mathematics through summer programs, mentorships, and parental involvement. She has served as an editor of the journal Algebraic and Geometric Topology from 2000 to 2007. In 2019 she was elected to serve as president of the American Mathematical Society during 2021–2023. She currently serves as the AMS Immediate Past President. Additionally, she was a member at large for the American Mathematical Society from 1992 to 1994.

Honors In 2013 Charney was named a Fellow of the American Mathematical Society in the inaugural class. In 2017 she was selected as a Fellow of the Association for Women in Mathematics in the inaugural class.

Selected publications Charney, Ruth; Davis, Michael W. Finite K(π,1)s for Artin groups. Prospects in topology (Princeton, NJ, 1994), 110–124, Ann. of Math. Stud., 138, Princeton Univ. Press, Princeton, NJ, 1995. MR1368655 Charney, Ruth Geodesic automation and growth functions for Artin groups of finite type. Math. Ann. 301 (1995), no. 2, 307–324. MR1314589 Charney, Ruth Artin groups of finite type are biautomatic. Math. Ann. 292 (1992), no. 4, 671–683. MR1157320 Charney, Ruth An introduction to right-angled Artin groups. Geom. Dedicata 125 (2007), 141–158. MR2322545

References

External links Ruth Charney's Author Profile on MathSciNet

Illustrations

Worked examples

Example 1 — a first encounter with Ruth Charney

Start with the simplest possible case. Write down what Ruth Charney 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 Ruth Charney 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 Ruth Charney 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 Ruth Charney

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

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

Frequently asked questions

What is Ruth Charney in simple terms?

Ruth Michele Charney (born 1950) is an American mathematician known for her work in geometric group theory and Artin groups. Other areas of research include K-theory and algebraic topology.

Why does Ruth Charney 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 Ruth Charney?

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 Ruth Charney.