ArticleslgStudy

mathematics

Hélène Barcelo

Hélène Barcelo 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 Hélène Barcelo rather than just read about it. In short: Hélène Barcelo (born 11 November 1954) is a Canadian mathematician specializing in algebraic combinatorics. Within that field, her interests include combinatorial representation theory, homotopy theory, and arrangements of hyperplanes.

Key takeaways

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

Reference excerpt

Hélène Barcelo (born 11 November 1954) is a Canadian mathematician specializing in algebraic combinatorics. Within that field, her interests include combinatorial representation theory, homotopy theory, and arrangements of hyperplanes. She is Professor Emerita of Mathematics at Arizona State University, and Deputy Director Emerita of the Mathematical Sciences Research Institute (MSRI). She was editor-in-chief of the Journal of Combinatorial Theory, Series A, from 2001 to 2009.

Education and career Barcelo completed her Ph.D. from the University of California, San Diego, in 1988. Her dissertation, On the Action of the Symmetric Group on the Free Lie Algebra and on the Homology and Cohomology of the Partition Lattice, was supervised by Adriano Garsia. She joined the Arizona State faculty after postdoctoral studies at the University of Michigan. She retired from Arizona State, becoming a professor emerita there, and became deputy director at MSRI in 2008.

Recognition From 2012-2014, Barcelo served as a Council Member at Large for the American Mathematical Society. She was elected to the 2018 class of fellows of the American Mathematical Society, to the 2019 class of fellows of the Association for Women in Mathematics, and to the 2021 class of Fellows of the American Association for the Advancement of Science.

References

External links Home page

Worked examples

Example 1 — a first encounter with Hélène Barcelo

Start with the simplest possible case. Write down what Hélène Barcelo 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 Hélène Barcelo 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 Hélène Barcelo 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 Hélène Barcelo

In research
Hélène Barcelo 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 Hélène Barcelo 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
Hélène Barcelo is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1954 births, 20th-century American academics, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Hélène Barcelo 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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Hélène Barcelo” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Hélène Barcelo in 20 minutes

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

Frequently asked questions

What is Hélène Barcelo in simple terms?

Hélène Barcelo (born 11 November 1954) is a Canadian mathematician specializing in algebraic combinatorics. Within that field, her interests include combinatorial representation theory, homotopy theory, and arrangements of hyperplanes.

Why does Hélène Barcelo 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 Hélène Barcelo?

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 Hélène Barcelo.

Tags

  • 1954 births
  • 20th-century American academics
  • 20th-century American mathematicians
  • 20th-century American women academics
  • 20th-century American women mathematicians
  • 20th-century Canadian mathematicians
  • 20th-century Canadian women scientists
  • 21st-century American mathematicians
  • 21st-century American women mathematicians
  • 21st-century American women scientists
  • 21st-century Canadian mathematicians
  • Arizona State University faculty

Keep exploring