mathematics

George C. Papanicolaou

George C. Papanicolaou 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 George C. Papanicolaou rather than just read about it. In short: George C. Papanicolaou (; born January 23, 1943) is a Greek-American mathematician who specializes in applied and computational mathematics, partial differential equations, and stochastic processes.

Key takeaways

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

Reference excerpt

George C. Papanicolaou (; born January 23, 1943) is a Greek-American mathematician who specializes in applied and computational mathematics, partial differential equations, and stochastic processes. He is currently the Robert Grimmett Professor in Mathematics at Stanford University.

Biography Papanicolaou was born on January 23, 1943, in Athens, Greece. He received his B.E.E. from Union College and his M.S. and Ph.D. from New York University (NYU) in 1969. His PhD thesis, supervised by Joseph Bishop Keller was entitled "On Stochastic Differential Equations and Applications". At NYU, he started out as an assistant professor in 1969 before moving up to associate professor in 1973 and finally professor in 1976. Later, in 1993, he relocated to Stanford. He has had 42 doctoral students and 220 descendants. He is married, with three children.

Publications Papanicolaou has more than 250 publications on a wide range of topics, including imaging, communications and time reversal, waves in random media, convection-diffusion, nonlinear waves, high contrast materials, mathematical finance, and homogenization.

Recognition George Papanicolaou is a member of the National Academy of Sciences, and he is a Fellow of the American Academy of Arts and Sciences, the American Mathematical Society (AMS), and the Society for Industrial and Applied Mathematics (SIAM). He was a plenary speaker at the International Congress of Mathematicians in 1998 and the International Congress on Industrial and Applied Mathematics (ICIAM) in 2003. He was awarded a Sloan Research Fellowship (1974), a Guggenheim Fellowship (1983), the von Neumann Lectureship from SIAM (2006), the William Benter Prize in Applied Mathematics (2010), the Gibbs Lectureship of the AMS (2011), and the Lagrange Prize from ICIAM (2019). He received an Honorary Doctor of Science, University of Athens in 1987 and a Doctor Honoris Causa, University of Paris VII in 2011.

Books "Asymptotic Analysis for Periodic Structures", Alain Bensoussan, Jacques-Louis Lions and George Papanicolaou, North Holland (1978), Reprinted by the American Mathematical Society (2011). "Derivatives in Financial Markets with Stochastic Volatility", Jean-Pierre Fouque, George Papanicolaou and K. Ronnie Sircar, Cambridge University Press (2000). "Wave Propagation and Time Reversal in Randomly Layered Media", Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou and Knut Solna, Springer (2007). "Multiscale Stochastic Volatility for Equity, Interest-Rate and Credit Derivatives", Jean-Pierre Fouque, George Papanicolaou, K. Ronnie Sircar and Knut Solna, Cambridge University Press (2011). "Passive Imaging with Ambient Noise", Josselin Garnier and George Papanicolaou, Cambridge University Press (2016).

Notes

External links Website George C. Papanicolaou at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with George C. Papanicolaou

Start with the simplest possible case. Write down what George C. Papanicolaou 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 George C. Papanicolaou 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 George C. Papanicolaou 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 George C. Papanicolaou

In research: George C. Papanicolaou 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 George C. Papanicolaou 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: George C. Papanicolaou is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1943 births, Courant Institute of Mathematical Sciences alumni, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for George C. Papanicolaou 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “George C. Papanicolaou” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study George C. Papanicolaou in 20 minutes

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

Frequently asked questions

What is George C. Papanicolaou in simple terms?

George C. Papanicolaou (; born January 23, 1943) is a Greek-American mathematician who specializes in applied and computational mathematics, partial differential equations, and stochastic processes.

Why does George C. Papanicolaou 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 George C. Papanicolaou?

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 George C. Papanicolaou.