mathematics

Kiran Kedlaya

Kiran Kedlaya 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 Kiran Kedlaya rather than just read about it. In short: Kiran Sridhara Kedlaya ( KIRR-ən SHREE-dər ked-LAH-yə; born July 1974) is an American mathematician. He currently is a professor of mathematics and the Stefan E.

Key takeaways

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

Reference excerpt

Kiran Sridhara Kedlaya ( KIRR-ən SHREE-dər ked-LAH-yə; born July 1974) is an American mathematician. He currently is a professor of mathematics and the Stefan E. Warschawski chair in mathematics at the University of California, San Diego.

Biography Kiran Kedlaya was born into a Tulu Brahmin family. At age 16, Kedlaya won a gold medal at the International Mathematics Olympiad, which he later followed with a silver and another gold medal. While an undergraduate student at Harvard, Kedlaya was a three-time Putnam Fellow in 1993, 1994, and 1995. A 1996 article by The Harvard Crimson described him as "the best college-age student in math in the United States". Kedlaya was runner-up for the 1995 Morgan Prize, for a paper in which he substantially improved on results of László Babai and Vera Sós (1985) on the size of the largest product-free subset of a finite group of order n. Kedlaya gave an invited talk at the International Congress of Mathematicians in 2010, on the topic of "Number Theory". In 2012, he became a fellow of the American Mathematical Society.

Game shows Kedlaya was a contestant on the game show Jeopardy! in 2011, winning one episode.

Selected works p-adic Differential Equations, Cambridge Studies in Advanced Mathematics, Band 125, Cambridge University Press 2010 with David Savitt, Dinesh Thakur, Matt Baker, Brian Conrad, Samit Dasgupta, Jeremy Teitelbaum p-adic Geometry, Lectures from the 2007 Arizona Winter School, American Mathematical Society 2008 with Bjorn Poonen, Ravi Vakil The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, Mathematical Association of America, 2002

References

External links Kiran Kedlaya's website Kiran Kedlaya at the Mathematics Genealogy Project Kiran Kedlaya's results at International Mathematical Olympiad Kiran Kedlaya at IMDb

Illustrations

Worked examples

Example 1 — a first encounter with Kiran Kedlaya

Start with the simplest possible case. Write down what Kiran Kedlaya 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 Kiran Kedlaya 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 Kiran Kedlaya 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 Kiran Kedlaya

In research: Kiran Kedlaya 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 Kiran Kedlaya 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: Kiran Kedlaya is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1974 births, 21st-century Indian mathematicians, Algebraic geometers, so understanding it makes those chapters shorter.
In everyday life: Look for Kiran Kedlaya 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 Kiran Kedlaya in 20 minutes

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

Frequently asked questions

What is Kiran Kedlaya in simple terms?

Kiran Sridhara Kedlaya ( KIRR-ən SHREE-dər ked-LAH-yə; born July 1974) is an American mathematician. He currently is a professor of mathematics and the Stefan E.

Why does Kiran Kedlaya 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 Kiran Kedlaya?

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 Kiran Kedlaya.