mathematics

Robert V. Kohn

Robert V. Kohn 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 Robert V. Kohn rather than just read about it. In short: Robert Vita Kohn (October 5, 1953 – January 12, 2026) was an American mathematician who worked on partial differential equations, calculus of variations, mathematical materials science and mathematical finance. He was a professor at the Courant Institute of Mathematical Sciences, New York University.

Key takeaways

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

Reference excerpt

Robert Vita Kohn (October 5, 1953 – January 12, 2026) was an American mathematician who worked on partial differential equations, calculus of variations, mathematical materials science and mathematical finance. He was a professor at the Courant Institute of Mathematical Sciences, New York University.

Background Kohn studied mathematics at Harvard University, obtaining his bachelor's degree in 1974. He obtained his Ph.D. at Princeton University in 1979, as a student of Frederick Almgren. Kohn died of cancer on January 12, 2026, at the age of 72.

Work Kohn is best known for his work on non-linear partial differential equations, including work with Louis Nirenberg and Luis Caffarelli in which they obtained partial results about the regularity of weak solutions of the Navier–Stokes equations.

Honors Kohn received a Sloan Research Fellowship in 1984. In 2006, he was a plenary speaker at the International Congress of Mathematicians, in Madrid (Energy driven pattern formation). He was a member of the inaugural class of Fellows of the Society for Industrial and Applied Mathematics (SIAM). He was a fellow of the American Mathematical Society. He was an elected member of American Academy of Arts and Sciences.

Selected publications with L. Caffarelli and L. Nirenberg: "Partial regularity of suitable weak solutions of the Navier–Stokes equations", Communications on Pure and Applied Mathematics, n. 35 i. 6, pp. 771–831. with L. Caffarelli and L. Nirenberg, "First order interpolation inequalities with weights", Compositio Mathematica n. 53 i. 3, pp. 259–275. with Gilbert Strang, "Optimal design and relaxation of variational problems, I", Communications on Pure and Applied Mathematics, n. 39 i. 1, pp. 113–137.

References

External links Robert V. Kohn website Robert V. Kohn (1953-2026) ArXiv Tribute Article

Illustrations

Worked examples

Example 1 — a first encounter with Robert V. Kohn

Start with the simplest possible case. Write down what Robert V. Kohn 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 Robert V. Kohn 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 Robert V. Kohn 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 Robert V. Kohn

In research: Robert V. Kohn 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 Robert V. Kohn 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: Robert V. Kohn is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 2026 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Robert V. Kohn 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 Robert V. Kohn in 20 minutes

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

Frequently asked questions

What is Robert V. Kohn in simple terms?

Why does Robert V. Kohn 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 Robert V. Kohn?

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 Robert V. Kohn.