mathematics

Robin Hartshorne

Robin Hartshorne 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 Robin Hartshorne rather than just read about it. In short: Robin Cope Hartshorne ( HARTS-horn; born March 15, 1938) is an American mathematician who is known for his work in algebraic geometry. Career Hartshorne was a Putnam Fellow in Fall 1958 while he was an undergraduate at Harvard University (under the name Robert C.

Key takeaways

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

Reference excerpt

Robin Cope Hartshorne ( HARTS-horn; born March 15, 1938) is an American mathematician who is known for his work in algebraic geometry.

Career Hartshorne was a Putnam Fellow in Fall 1958 while he was an undergraduate at Harvard University (under the name Robert C. Hartshorne). He received a Ph.D. in mathematics from Princeton University in 1963 after completing a doctoral dissertation titled Connectedness of the Hilbert scheme under the supervision of John Coleman Moore and Oscar Zariski. He then became a Junior Fellow at Harvard University, where he taught for several years. In 1972, he was appointed to the faculty at the University of California, Berkeley, where he is a Professor Emeritus as of 2020. Hartshorne is the author of the text Algebraic Geometry.

Awards In 1979, Hartshorne was awarded the Leroy P. Steele Prize for "his expository research article Equivalence relations on algebraic cycles and subvarieties of small codimension, Proceedings of Symposia in Pure Mathematics, volume 29, American Mathematical Society, 1975, pp. 129-164; and his book Algebraic geometry, Springer-Verlag, Berlin and New York, 1977." In 2012, Hartshorne became a fellow of the American Mathematical Society.

Personal life Hartshorne attended high school at Phillips Exeter Academy, graduating in 1955. Hartshorne is married to Edie Churchill and has two sons and an adopted daughter. He is a mountain climber and amateur flute and shakuhachi player.

Selected publications Foundations of Projective Geometry, New York: W. A. Benjamin, 1967; Ample Subvarieties of Algebraic Varieties, New York: Springer-Verlag. 1970; Algebraic Geometry, New York: Springer-Verlag, 1977; corrected 6th printing, 1993. GTM 52, ISBN 0-387-90244-9 Families of Curves in P3 and Zeuthen's Problem. Vol. 617. American Mathematical Society, 1997. Geometry: Euclid and Beyond, New York: Springer-Verlag, 2000; corrected 2nd printing, 2002; corrected 4th printing, 2005. ISBN 0-387-98650-2 Local Cohomology: A Seminar Given by A. Grothendieck, Harvard University. Fall, 1961. Vol. 41. Springer, 2006. (lecture notes by R. Hartshorne) Deformation Theory, Springer-Verlag, GTM 257, 2010, ISBN 978-1-4419-1595-5

Illustrations

Worked examples

Example 1 — a first encounter with Robin Hartshorne

Start with the simplest possible case. Write down what Robin Hartshorne 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 Robin Hartshorne 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 Robin Hartshorne 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 Robin Hartshorne

In research: Robin Hartshorne 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 Robin Hartshorne 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: Robin Hartshorne is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Robin Hartshorne 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 Robin Hartshorne in 20 minutes

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

Frequently asked questions

What is Robin Hartshorne in simple terms?

Robin Cope Hartshorne ( HARTS-horn; born March 15, 1938) is an American mathematician who is known for his work in algebraic geometry. Career Hartshorne was a Putnam Fellow in Fall 1958 while he was an undergraduate at Harvard University (under the name Robert C.

Why does Robin Hartshorne 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 Robin Hartshorne?

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 Robin Hartshorne.