mathematics

Wilhelm Schlag

Wilhelm Schlag 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 Wilhelm Schlag rather than just read about it. In short: Wilhelm Schlag (born May 2, 1969) is a mathematician and Phillips Professor of Mathematics at Yale University. He is known for his work in harmonic analysis and partial differential equations.

Key takeaways

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

Reference excerpt

Wilhelm Schlag (born May 2, 1969) is a mathematician and Phillips Professor of Mathematics at Yale University. He is known for his work in harmonic analysis and partial differential equations.

Career Schlag obtained his PhD at the California Institute of Technology in 1996 under the supervision of Thomas Wolff. Since then, he has held positions at Princeton University, California Institute of Technology and the University of Chicago where he was H. J. Livingston Professor of Mathematics before moving to Yale University in 2018. He has done extensive work in Fourier Analysis, Spectral theory and dispersive partial differential equations. Schlag is one of the managing editors of Inventiones Mathematicae.

Awards and honors Sloan Research Fellow, 2001 Guggenheim Fellow, 2009 Invited Speaker, International Congress of Mathematicians, 2014

References

External links Homepage at Yale University

Worked examples

Example 1 — a first encounter with Wilhelm Schlag

Start with the simplest possible case. Write down what Wilhelm Schlag 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 Wilhelm Schlag 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 Wilhelm Schlag 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 Wilhelm Schlag

In research: Wilhelm Schlag 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 Wilhelm Schlag 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: Wilhelm Schlag is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1969 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Wilhelm Schlag 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 Wilhelm Schlag in 20 minutes

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

Frequently asked questions

What is Wilhelm Schlag in simple terms?

Wilhelm Schlag (born May 2, 1969) is a mathematician and Phillips Professor of Mathematics at Yale University. He is known for his work in harmonic analysis and partial differential equations.

Why does Wilhelm Schlag 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 Wilhelm Schlag?

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 Wilhelm Schlag.