mathematics

Maciej Zworski

Maciej Zworski 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 Maciej Zworski rather than just read about it. In short: Maciej Zworski (born 8 October 1963) is a Polish-Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations.

Key takeaways

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

Reference excerpt

Maciej Zworski (born 8 October 1963) is a Polish-Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations. He was an invited speaker at International Congress of Mathematicians in Beijing in 2002, and a plenary speaker at the conference Dynamics, Equations and Applications in Kraków in 2019. Zworski and Semyon Dyatlov are the recipients of the 2026 Joseph L. Doob prize, for their 2019 book Mathematical Theory of Scattering Resonances.

Selected publications

Articles M. Zworski (1988). "Decomposition of normal currents". Proc. Amer. Math. Soc. 102 (4): 831–839. doi:10.1090/s0002-9939-1988-0934852-8. MR 0934852. with Johannes Sjöstrand (1991). "Complex scaling and the distribution of scattering poles". J. Amer. Math. Soc. 4: 729–769. doi:10.2307/2939287. JSTOR 2939287. MR 1115789. with Laurent Guillopé (1997). "Scattering Asymptotics for Riemann Surfaces". Annals of Mathematics. Second Series. 145 (3): 597–660. doi:10.2307/2951846. JSTOR 2951846. "Resonances in Physics and Geometry" (PDF). Notices of the AMS. 46 (3): 319–328. 1999. M. Zworski (2001). "A remark on a paper of E. B. Davies". Proc. Amer. Math. Soc. 129 (10): 2955–2957. doi:10.1090/s0002-9939-01-05909-3. MR 1840099. with Jared Wunsch (2001). "The FBI transform on compact C∞ manifolds". Trans. Amer. Math. Soc. 353: 1151–1167. doi:10.1090/s0002-9947-00-02751-3. MR 1804416. with C. Robin Graham (2003). "Scattering matrix in conformal geometry". Inventiones Mathematicae. 152 (1): 89–118. arXiv:math/0109089. Bibcode:2003InMat.152...89G. doi:10.1007/s00222-002-0268-1. S2CID 18310849. with Nicolas Burq (2004). "Geometric control in the presence of a black box". J. Amer. Math. Soc. 17 (2): 443–471. doi:10.1090/s0894-0347-04-00452-7. MR 2051618.

Books with Richard Melrose and Antônio Sá Barreto: Semi-linear diffraction of conormal waves, Astérisque, vol. 240, Societé Mathématique de France, 1996 abstract Semiclassical analysis, American Mathematical Society 2012 as editor with Plamen Stefanov and András Vasy: Inverse Problems and Applications. Contemporary Mathematics, vol. 615. American Mathematical Society. 2014. ISBN 9781470410797. with Semyon Dyatlov: Mathematical Theory of Scattering Resonances. Graduate Studies in Mathematics, vol. 200. American Mathematical Society. 2019. ISBN 9781470443665.

References

External links Professor Zworski's webpage Maciej Zworski at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Maciej Zworski

Start with the simplest possible case. Write down what Maciej Zworski 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 Maciej Zworski 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 Maciej Zworski 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 Maciej Zworski

In research: Maciej Zworski 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 Maciej Zworski 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: Maciej Zworski is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Maciej Zworski 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 Maciej Zworski in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Maciej Zworski means in your own words.
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Frequently asked questions

What is Maciej Zworski in simple terms?

Why does Maciej Zworski 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 Maciej Zworski?

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 Maciej Zworski.