mathematics

Ovidiu Savin

Ovidiu Savin 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 Ovidiu Savin rather than just read about it. In short: Ovidiu Vasile Savin (born January 1, 1977) is a Romanian-American mathematician who is active in the field of the partial differential equations. Scientific activity Savin received his Ph.D. in mathematics from the University of Texas at Austin in 2003 having Luis Caffarelli as advisor; he is professor of mathematics at Columbia University.

Key takeaways

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

Reference excerpt

Ovidiu Vasile Savin (born January 1, 1977) is a Romanian-American mathematician who is active in the field of the partial differential equations.

Scientific activity Savin received his Ph.D. in mathematics from the University of Texas at Austin in 2003 having Luis Caffarelli as advisor; he is professor of mathematics at Columbia University. Savin is mostly known for his important work on Ennio De Giorgi's conjecture about global solutions to certain semilinear equations, that he proved up to dimension 8. It is to be noticed that the conjecture turns out to be false in higher dimensions, as eventually proved by Manuel del Pino, Michał Kowalczyk, and Juncheng Wei. Savin has also worked on various regularity questions proving the gradient continuity of solutions to the infinity-Laplacian equation in two dimensions and obtaining results on the boundary regularity of solutions to the Monge–Ampère equation.

Recognition Savin won a gold medal with a perfect score in the 1995 International Mathematical Olympiad. As an undergraduate at the University of Pittsburgh in 1997, Savin was a William Lowell Putnam Mathematical Competition fellow. Savin was an invited speaker at the International Congress of Mathematicians in 2006. He was awarded the Stampacchia Medal in 2012.

References

External links Ovidiu Savin at the Mathematics Genealogy Project Savin's site at Columbia International Congress of Mathematicians 2006

Illustrations

Worked examples

Example 1 — a first encounter with Ovidiu Savin

Start with the simplest possible case. Write down what Ovidiu Savin 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 Ovidiu Savin 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 Ovidiu Savin 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 Ovidiu Savin

In research: Ovidiu Savin 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 Ovidiu Savin 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: Ovidiu Savin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1977 births, 21st-century Romanian mathematicians, Living people, so understanding it makes those chapters shorter.
In everyday life: Look for Ovidiu Savin 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 Ovidiu Savin in 20 minutes

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

Frequently asked questions

What is Ovidiu Savin in simple terms?

Ovidiu Vasile Savin (born January 1, 1977) is a Romanian-American mathematician who is active in the field of the partial differential equations. Scientific activity Savin received his Ph.D. in mathematics from the University of Texas at Austin in 2003 having Luis Caffarelli as advisor; he is profe…

Why does Ovidiu Savin 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 Ovidiu Savin?

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 Ovidiu Savin.