astronomy

Mark Lee Green

Mark Lee Green is a astronomy 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 Mark Lee Green rather than just read about it. In short: Mark Lee Green (1 October 1947, Minneapolis) is an American mathematician, who does research in commutative algebra, algebraic geometry, Hodge theory, differential geometry, and the theory of several complex variables. He is known for Green's Conjecture on syzygies of canonical curves.

Key takeaways

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

Reference excerpt

Mark Lee Green (1 October 1947, Minneapolis) is an American mathematician, who does research in commutative algebra, algebraic geometry, Hodge theory, differential geometry, and the theory of several complex variables. He is known for Green's Conjecture on syzygies of canonical curves.

Green received his bachelor's degree from MIT in 1968 and in 1972 his PhD from Princeton University under Phillip Griffiths with thesis Some Picard Theorems for Holomorphic Maps to Algebraic Varieties. In 1970/71, Green was a Procter Fellow in Princeton. He was an instructor from 1972 to 1974 at the University of California, Berkeley and for the academic year 1974/75 at MIT. He became an assistant professor in 1975, and in 1982, a full professor at UCLA. He was a co-founder and the director of the Institute for Pure and Applied Mathematics (IPAM) for 7 years, starting in 2001. From 1968 to 1972, he was a Woodrow Wilson Fellow and from 1976 to 1980, a Sloan Fellow. In 1998, he was an Invited Speaker with Higher Abel-Jacobi Maps at the ICM in Berlin. He is a member of The Mathematical Sciences 2025 committee of the National Academies of the USA and the committee's vice-chair with the chair Caltech's president Thomas Everhart. He was elected a Fellow of the American Academy of Arts and Sciences in 2010 and a Fellow of the American Mathematical Society in 2012.

Selected publications

Articles "Holomorphic maps into complex projective space omitting hyperplanes." Transactions of the American Mathematical Society 169 (1972): 89–103. doi:10.1090/S0002-9947-1972-0308433-6 "Some Picard theorems for holomorphic maps to algebraic varieties." American Journal of Mathematics (1975): 43–75. doi:10.2307/2373660 "Holomorphic maps to complex tori." American Journal of Mathematics 100, no. 3 (1978): 615–620. doi:10.2307/2373842 "Secant functions, the Reiss relation and its converse." Transactions of the American Mathematical Society 280, no. 2 (1983): 499–507. doi:10.1090/S0002-9947-1983-0716834-4 "Infinitesimal methods in Hodge theory." In Algebraic cycles and Hodge theory, pp. 1–92. Springer, Berlin, Heidelberg, 1994. doi:10.1007/978-3-540-49046-3_1 "Generic initial ideals." In Six lectures on commutative algebra, pp. 119–186. Birkhäuser, Basel, 1998. doi:10.1007/978-3-0346-0329-4_2

Books with P. Griffiths: On the tangent space to the space of algebraic cycles on a smooth algebraic variety, Princeton University Press 2005. with P. Griffiths and Matt Kerr: Hodge theory, complex geometry, and representation theory, American Mathematical Society 2013 with P. Griffiths and Matt Kerr: Mumford-Tate groups and domains : their geometry and arithmetic, Princeton University Press 2012

References

Illustrations

Worked examples

Example 1 — a first encounter with Mark Lee Green

Start with the simplest possible case. Write down what Mark Lee Green claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Mark Lee Green 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 Mark Lee Green 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 Mark Lee Green

In research: Mark Lee Green appears in astronomy 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 Mark Lee Green 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: Mark Lee Green is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, Fellows of the American Academy of Arts and Sciences, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Mark Lee Green 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 Mark Lee Green in 20 minutes

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

Frequently asked questions

What is Mark Lee Green in simple terms?

Why does Mark Lee Green matter?

Because it connects several astronomy 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 Mark Lee Green?

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 Mark Lee Green.