mathematics

Stefan Bergman Prize

Stefan Bergman Prize 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 Stefan Bergman Prize rather than just read about it. In short: The Stefan Bergman Prize is a mathematics award, funded by the estate of the widow of mathematician Stefan Bergman and supported by the American Mathematical Society. The award is granted for mathematical research in: "1) the theory of the kernel function and its applications in real and complex analysis; or 2) function-theoretic methods in the theory of partial differential equations of elliptic type with attention…

Key takeaways

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

Reference excerpt

The Stefan Bergman Prize is a mathematics award, funded by the estate of the widow of mathematician Stefan Bergman and supported by the American Mathematical Society. The award is granted for mathematical research in: "1) the theory of the kernel function and its applications in real and complex analysis; or 2) function-theoretic methods in the theory of partial differential equations of elliptic type with attention to Bergman's operator method." The award is given in honor of Stefan Bergman, a mathematician known for his work on complex analysis. Recipients of the prize are selected by a committee of judges appointed by the American Mathematical Society.

Criteria and scope The monetary value of the prize is variable and based on the income from the prize fund; in 2005 the award was valued at approximately $17,000.

Laureates 1989 David W. Catlin 1991 Steven R. Bell, Ewa Ligocka 1992 Charles Fefferman 1993 Yum-Tong Siu 1994 John Erik Fornæss 1995 Harold P. Boas, Emil J. Straube 1997 David E. Barrett, Michael Christ 1999 John P. D'Angelo 2000 Masatake Kuranishi 2001 László Lempert, Sidney Webster 2003 M. Salah Baouendi, Linda Preiss Rothschild 2004 Joseph J. Kohn 2005 Elias Stein 2006 Kengo Hirachi 2007-08 Alexander Nagel, Stephen Wainger 2009 Ngaiming Mok, Duong H. Phong 2011 Gennadi Henkin 2012 David Jerison, John M. Lee 2013 Xiaojun Huang, Steve Zelditch 2014 Sławomir Kołodziej, Takeo Ohsawa 2015 Eric Bedford, Jean-Pierre Demailly 2016 Charles L. Epstein, François Trèves 2017 Bo Berndtsson, Nessim Sibony 2018 Johannes Sjöstrand 2019 Franc Forstnerič, Mei-Chi Shaw 2020 Aline Bonami, Peter Ebenfelt

Worked examples

Example 1 — a first encounter with Stefan Bergman Prize

Start with the simplest possible case. Write down what Stefan Bergman Prize 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 Stefan Bergman Prize 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 Stefan Bergman Prize 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 Stefan Bergman Prize

In research: Stefan Bergman Prize 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 Stefan Bergman Prize 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: Stefan Bergman Prize is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1989 establishments in the United States, Awards established in 1989, Awards of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Stefan Bergman Prize 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 Stefan Bergman Prize in 20 minutes

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

Frequently asked questions

What is Stefan Bergman Prize in simple terms?

Why does Stefan Bergman Prize 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 Stefan Bergman Prize?

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 Stefan Bergman Prize.