ArticleslgStudy

mathematics

Lynne Butler

Lynne Butler 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 Lynne Butler rather than just read about it. In short: Lynne Marie Butler (born 1959) is an American mathematician whose research interests include algebraic combinatorics, group theory, and mathematical statistics. She is a professor of mathematics at Haverford College.

Key takeaways

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

Reference excerpt

Lynne Marie Butler (born 1959) is an American mathematician whose research interests include algebraic combinatorics, group theory, and mathematical statistics. She is a professor of mathematics at Haverford College.

Early life and education Butler's parents were both medical professionals. She is the identical twin sister of Laurie Butler, now a professor of chemistry at the University of Chicago; they were the youngest of six siblings, and grew up in Garden City, New York. After Butler's father had a stroke, the family moved to St. Petersburg, Florida, where Butler went to high school. She credits a high school mathematics teacher, Mr. Mead, for sparking her interest in mathematics, writing "He wanted to learn group theory, and so did I, so we learned together." Butler majored in mathematics at the University of Chicago, graduating in 1981. She went to the Massachusetts Institute of Technology for doctoral study in mathematics, intending to work in algebraic topology despite warnings about the professor she would be working with from other women in the department. He thought that the prospect of marriage and children would make women unable to concentrate on mathematics, refused to let her read his recent work, and eventually told her that her difficulty in reading a paper "confirmed his bad opinion of female mathematicians". On the advice of the department chair, in order to avoid the possibility that her former advisor would be asked to recommend her, she changed her research topic. Instead, she began working in combinatorics with Richard P. Stanley as her new advisor. She completed her Ph.D. in 1986. In 2013, bored with combinatorics and noting that many of her female students were doing particularly well the application-oriented components of her classes, she returned to the University of Chicago for a master's degree in statistics.

Career After completing her doctorate, Butler became a postdoctoral researcher and then, a year later, an assistant professor at Princeton University. However, at Princeton she encountered much of the same explicit sexism that had tormented her at MIT. One faculty member in her department assumed she was a secretary and handed secretarial work to her, and she was the target of comments about the incompatibility of child-bearing with mathematics, or remarks to her like "I really do feel women are genetically inferior in math", to the point that she says she "locked myself in my office and didn't come out for four years". Despite marrying Princeton computer scientist F. Miller Maley, she moved in 1991 from Princeton to Haverford College, where she had a potential collaborator on the faculty and could find a more collegial atmosphere. She became a full professor at Haverford in 1996, the same year in which she was a visiting research professor at the Mathematical Sciences Research Institute. At Haverford, she has served several terms as department chair, and was associate provost for 2004–2005.

Research Butler's 1986 dissertation was Combinatorial Properties of Partially Ordered Sets associated with Partitions and Finite Abelian Groups. She subsequently published some of this research as "A unimodality result in the enumeration of subgroups of a finite abelian group" (Proc. AMS 1987), which concerned applications of algebraic combinatorics in group theory. Her work in this line of research also included her book Subgroup Lattices and Symmetric Functions (Mem. AMS 112, 1994). Butler's 2013 master's thesis was Latent Dirichlet Allocation for a Corpus of Prayers. Since completing this degree, her teaching and undergraduate research direction have turned from combinatorics to probability theory and statistics. Butler has also studied John Nash and his work on game theory, speaking in general-audience mathematics talks about connections between this work and collaboration in art.

References

External links Home page

Worked examples

Example 1 — a first encounter with Lynne Butler

Start with the simplest possible case. Write down what Lynne Butler 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 Lynne Butler 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 Lynne Butler 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 Lynne Butler

In research
Lynne Butler 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 Lynne Butler 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
Lynne Butler is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1955 births, 21st-century American statisticians, 21st-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Lynne Butler 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 “Lynne Butler” →

Affiliate

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

How to study Lynne Butler in 20 minutes

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

Frequently asked questions

What is Lynne Butler in simple terms?

Lynne Marie Butler (born 1959) is an American mathematician whose research interests include algebraic combinatorics, group theory, and mathematical statistics. She is a professor of mathematics at Haverford College.

Why does Lynne Butler 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 Lynne Butler?

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 Lynne Butler.

Tags

  • 1955 births
  • 21st-century American statisticians
  • 21st-century American women mathematicians
  • American women statisticians
  • Combinatorialists
  • Haverford College faculty
  • Living people
  • MIT School of Science alumni
  • Princeton University faculty
  • University of Chicago alumni

Keep exploring