astronomy

Hao Huang (mathematician)

Hao Huang (mathematician) is a astronomy 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 Hao Huang (mathematician) rather than just read about it. In short: Hao Huang (Chinese: 黄皓; pinyin: Huáng Hào) is a Chinese mathematician known for solving the sensitivity conjecture. Huang is currently an associate professor in the mathematics department at National University of Singapore.

Key takeaways

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

Reference excerpt

Hao Huang (Chinese: 黄皓; pinyin: Huáng Hào) is a Chinese mathematician known for solving the sensitivity conjecture. Huang is currently an associate professor in the mathematics department at National University of Singapore. Huang received a B.S. degree in mathematics at Peking University in 2007. He obtained his Ph.D. in mathematics from his dissertation titled Various Problems in Extremal Combinatorics from the University of California, Los Angeles (UCLA) in 2012 advised by Benny Sudakov. His postdoctoral research was done at the Institute for Advanced Study in Princeton, New Jersey and DIMACS at Rutgers University in 2012–2014, followed by a year at the Institute for Mathematics and its Applications at the University of Minnesota. Huang then became an assistant professor from 2015 to 2021 in the Department of Mathematics at Emory University. In July 2019, Huang announced a breakthrough, which gave a proof of the sensitivity conjecture. At that point the conjecture had been open for nearly 30 years, having been posed by Noam Nisan and Mario Szegedy in 1992. Huang has received positive attention for his discovery, as theoretical computer scientist Scott Aaronson described, "I find it hard to imagine that even God knows how to prove the Sensitivity Conjecture in any simpler way than this." Huang received an NSF Career Award in 2019 and a Sloan Research Fellowship in 2020.

References

External links Hao Huang at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Hao Huang (mathematician)

Start with the simplest possible case. Write down what Hao Huang (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Hao Huang (mathematician) 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 Hao Huang (mathematician) 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 Hao Huang (mathematician)

In research: Hao Huang (mathematician) appears in astronomy 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 Hao Huang (mathematician) 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: Hao Huang (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century Chinese mathematicians, Academic staff of the National University of Singapore, Combinatorialists, so understanding it makes those chapters shorter.
In everyday life: Look for Hao Huang (mathematician) 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 Hao Huang (mathematician) in 20 minutes

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

Frequently asked questions

What is Hao Huang (mathematician) in simple terms?

Why does Hao Huang (mathematician) matter?

Because it connects several astronomy 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 Hao Huang (mathematician)?

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 Hao Huang (mathematician).