mathematics

Melanie Wood

Melanie Wood 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 Melanie Wood rather than just read about it. In short: Melanie Matchett Wood (born 1981) is an American mathematician and Professor of Mathematics at Harvard University who was the first woman to qualify for the U.S. International Mathematical Olympiad Team.

Key takeaways

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

Reference excerpt

Melanie Matchett Wood (born 1981) is an American mathematician and Professor of Mathematics at Harvard University who was the first woman to qualify for the U.S. International Mathematical Olympiad Team. She completed her PhD in 2009 at Princeton University (under Manjul Bhargava). Previously, she was Chancellor's Professor of Mathematics at UC Berkeley, Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin, and spent 2 years as Szegö Assistant Professor at Stanford University. She is a number theorist; more specifically, her research centers on arithmetic statistics, with excursions into related questions in arithmetic geometry and probability theory.

Early life Wood was born in Indianapolis, Indiana, to Sherry Eggers and Archie Wood, both middle school teachers. Her father, who taught mathematics, died of cancer when Wood was six weeks old. While a high school student at Park Tudor School in Indianapolis, Wood (then aged 16) became the first female American to make the U.S. International Mathematical Olympiad Team, receiving silver medals in the 1998 and 1999 International Mathematical Olympiad. Wood was also a cheerleader and student newspaper editor at her school.

Awards In 2002, she received the Alice T. Schafer Prize from the Association for Women in Mathematics. In 2003, Wood graduated from Duke University where she won a Gates Cambridge Scholarship, Fulbright fellowship (declined to accept the Gates Cambridge Scholarship), and a National Science Foundation graduate fellowship, in addition to becoming the first American woman and second woman overall to be named a Putnam Fellow in 2002. During the 2003–2004 school year, she studied at Cambridge University. She was also named the Deputy Leader of the U.S. team that finished second overall at the 2005 International Mathematical Olympiad. In 2004, she won the Morgan Prize for work in two topics, Belyi-extending maps and P-orderings, making her the first woman to win this award. In 2012, she became a fellow of the American Mathematical Society. In 2017, she received an NSF CAREER Award. In 2018, she received the AWM-Microsoft Research Prize in Algebra and Number Theory from the Association for Women in Mathematics. From 2019 to 2021, Wood was an American Mathematical Society (AMS) Council member at large. In 2021, she received the NSF Alan T. Waterman Award. In 2022, she was awarded a MacArthur Fellowship. In 2024, she was elected into the American academy of Arts and Sciences. In 2025, she was awarded the PECASE. In 2025, she was elected into the National Academy of Sciences.

Selected publications Wood, Melanie (2019). "Nonabelian Cohen-Lenstra moments. With an appendix by the author and Philip Matchett Wood". Duke Math. J. 168, no. 3, 377–427. MR 3909900. Vakil, Ravi; Wood, Melanie (2015). "Discriminants in the Grothendieck ring". Duke Math. J. 164, no. 6, 1139–1185. MR 3336842. Wood, Melanie (2011). "Gauss composition over an arbitrary base". Advances in Mathematics. 226 (2): 1756–1771. arXiv:1007.5285. doi:10.1016/j.aim.2010.08.018. MR 2737799. Wood, Melanie (2010). "On the probabilities of local behaviors in abelian field extensions". Compos. Math. 146, no. 1, 102–128. MR 2581243 Wood, Melanie (2003). "P-orderings: a metric viewpoint and the non-existence of simultaneous orderings". Journal of Number Theory. 99 (1): 36–56. doi:10.1016/S0022-314X(02)00056-2. MR 1957243.

References

External links An Interview with Melanie Matchett Wood (The Girls' Angle Bulletin, April 2008) A Conversation with Melanie Wood (Math Horizons magazine, September 2004) "The Girl Who Loved Math". Discover. 21 (6). Archived from the original on September 7, 2008 – via FindArticles. Melanie Wood: The Making of a Mathematician (Duke University profile) Melanie Wood (homepage at the University of California, Berkeley) Rimer, Sara (October 10, 2008). "Math Skills Suffer in U.S., Study Finds". New York Times. Melanie Wood at the Mathematics Genealogy Project Melanie Wood's results at International Mathematical Olympiad

Illustrations

Worked examples

Example 1 — a first encounter with Melanie Wood

Start with the simplest possible case. Write down what Melanie Wood 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 Melanie Wood 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 Melanie Wood 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 Melanie Wood

In research: Melanie Wood 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 Melanie Wood 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: Melanie Wood is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1981 births, 21st-century American mathematicians, 21st-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Melanie Wood 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 Melanie Wood in 20 minutes

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

Frequently asked questions

What is Melanie Wood in simple terms?

Why does Melanie Wood 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 Melanie Wood?

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 Melanie Wood.