mathematics

Glenn H. Stevens

Glenn H. Stevens 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 Glenn H. Stevens rather than just read about it. In short: Glenn Howard Stevens (born November 20, 1953) is an American mathematician and educator. He is Professor of Mathematics at Boston University where he has taught and conducted research since 1984.

Key takeaways

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

Reference excerpt

Glenn Howard Stevens (born November 20, 1953) is an American mathematician and educator. He is Professor of Mathematics at Boston University where he has taught and conducted research since 1984.

Life As a high school student, Stevens was a student of the Ross Program, an experience which would later lead him to found the PROMYS program along with fellow Ross alumni Marjory Baruch, David Fried, and Steve Rosenberg. Stevens earned his Ph.D. in Mathematics from Harvard University in 1981; his thesis advisor was Barry Mazur and the subject of his thesis was the special values of L-functions.

Work Stevens’ research specialties are number theory, automorphic forms, and arithmetic geometry. He has authored or edited several books, including an exposition on Fermat's Last Theorem as well as a textbook about arithmetic on modular curves.

Awards and honors A conference called Glennfest was held in honor of Stevens' 60th birthday on June 2–6, 2014. The theme of the conference was p-adic variation in number theory. In 2015 he was elected as a fellow of the American Mathematical Society "for contributions to the theory of p-adic modular forms and for service to the mathematical community."

References

Illustrations

Worked examples

Example 1 — a first encounter with Glenn H. Stevens

Start with the simplest possible case. Write down what Glenn H. Stevens 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 Glenn H. Stevens 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 Glenn H. Stevens 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 Glenn H. Stevens

In research: Glenn H. Stevens 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 Glenn H. Stevens 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: Glenn H. Stevens is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Glenn H. Stevens 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 Glenn H. Stevens in 20 minutes

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

Frequently asked questions

What is Glenn H. Stevens in simple terms?

Glenn Howard Stevens (born November 20, 1953) is an American mathematician and educator. He is Professor of Mathematics at Boston University where he has taught and conducted research since 1984.

Why does Glenn H. Stevens 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 Glenn H. Stevens?

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 Glenn H. Stevens.