mathematics

Nike Sun

Nike Sun 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 Nike Sun rather than just read about it. In short: Nike Sun is a probability theorist who works as a Professor of Mathematics at the Massachusetts Institute of Technology as of July 2024, on leave from the department of statistics at the University of California, Berkeley. She won the Rollo Davidson Prize in 2017.

Key takeaways

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

Reference excerpt

Nike Sun is a probability theorist who works as a Professor of Mathematics at the Massachusetts Institute of Technology as of July 2024, on leave from the department of statistics at the University of California, Berkeley. She won the Rollo Davidson Prize in 2017. Her research concerns phase transitions and the counting complexity of problems ranging from the Ising model in physics to the behavior of random instances of the Boolean satisfiability problem in computer science.

Education and career Sun graduated from Harvard University in 2009 with a bachelor's degree in mathematics and a master's degree in statistics, and spent a year studying for the Mathematical Tripos at the University of Cambridge before completing her doctorate at Stanford University in 2014. Her dissertation, Gibbs measures and phase transitions on locally tree-like graphs, was supervised by Amir Dembo. After postdoctoral research at Microsoft Research in New England, at the Massachusetts Institute of Technology Mathematics Department, and as a Simons Fellow at the University of California, Berkeley, she joined the Berkeley faculty as an assistant professor in 2016. She moved to the Massachusetts Institute of Technology as an associate professor in 2018.

Recognition Sun was awarded the Rollo Davidson Prize, given annually to an early-career probability theorist, in 2017. The award citation credited her research (with Jian Ding and Allan Sly) proving the existence of a threshold density such that random k-satisfiability instances whose ratio of clauses to variables is below the threshold are almost always satisfiable, and instances whose ratio is above the threshold are almost always unsatisfiable. She was awarded the 2020 Wolfgang Doeblin prize by the Bernoulli Society, given biannually to a single individual for outstanding research in the field of probability, and who is at the beginning of their mathematical career. She was an invited plenary speaker at the 40th Stochastic Processes and their Applications conference.

References

External links Home page Nike Sun publications indexed by the Scopus bibliographic database. (subscription required)

Worked examples

Example 1 — a first encounter with Nike Sun

Start with the simplest possible case. Write down what Nike Sun 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 Nike Sun 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 Nike Sun 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 Nike Sun

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

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

Frequently asked questions

What is Nike Sun in simple terms?

Why does Nike Sun 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 Nike Sun?

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 Nike Sun.