mathematics

Matei Machedon

Matei Machedon 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 Matei Machedon rather than just read about it. In short: Matei Machedon (born 10 February 1960 in Romania) is a Romanian–American mathematician, specializing in partial differential equations and mathematical physics. Machedon graduated from the University of Chicago with B.A./M.S. in 1982.

Key takeaways

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

Reference excerpt

Matei Machedon (born 10 February 1960 in Romania) is a Romanian–American mathematician, specializing in partial differential equations and mathematical physics. Machedon graduated from the University of Chicago with B.A./M.S. in 1982. He received his Ph.D. from Princeton University in 1986 with thesis advisor Charles Fefferman. Machedon was a C.L.E. Moore Instructor at Massachusetts Institute of Technology from 1986 to 1988. At Princeton University he was an assistant professor from 1988 to 1994. He was at the Institute for Advanced Study for the academic year 1994–1995. At the University of Maryland he was an associate professor from 1994 to 1998 and is since 1998 a full professor. Machedon held a Sloan Fellowship for the academic year 1985–1986 and for the two academic years 1989–1991. He has frequently collaborated with Sergiu Klainerman and Manoussos Grillakis. In 1998 Machedon was an invited speaker at the International Congress of Mathematicians in Berlin.

Selected publications Klainerman, S.; MacHedon, M. (1993). "Space-time estimates for null forms and the local existence theorem". Communications on Pure and Applied Mathematics. 46 (9): 1221–1268. doi:10.1002/cpa.3160460902. ISSN 0010-3640. Klainerman, S.; Machedon, M. (1994). "On the Maxwell-Klein-Gordon equation with finite energy". Duke Mathematical Journal. 74 (1): 19–44. doi:10.1215/S0012-7094-94-07402-4. ISSN 0012-7094. Klainerman, S.; Machedon, M. (1995). "Finite Energy Solutions of the Yang-Mills Equations in R3+1 ". The Annals of Mathematics. 142 (1): 39–119. doi:10.2307/2118611. ISSN 0003-486X. JSTOR 2118611. Klainerman, Sergeiu; Machedon, Matei (1996). "Estimates for null forms and the spaces H{s,δ}". International Mathematics Research Notices. 1996 (17): 853–865. doi:10.1155/S1073792896000529. ISSN 1073-7928. Klainerman, Sergiu; Machedon, Matei (1996). "Remarks on Strichartz-type inequalities". International Mathematics Research Notices. 1996 (5): 201–220. doi:10.1155/S1073792896000153. Klainerman, S.; Machedon, M. (1996). "Smoothing estimates for null forms and applications". In Kuhn, Harold W.; Nirenberg, Louis; Sarnak, Peter (eds.). A Celebration of John F. Nash Jr. Duke University Press. pp. 99–133. ISBN 0822317826. Klainerman, Sergiu; Machedon, Matei (1997). "Wave maps". Duke Mathematical Journal. 87 (3): 553–589. doi:10.1215/S0012-7094-97-08718-4. Klainerman, Sergiu; Machedon, Matei (2008). "On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy". Communications in Mathematical Physics. 279 (1): 169–185. arXiv:math-ph/0701006. Bibcode:2008CMaPh.279..169K. doi:10.1007/s00220-008-0426-4. S2CID 6582725. Grillakis, Manoussos G.; Machedon, Matei; Margetis, Dionisios (2010). "Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I". Communications in Mathematical Physics. 294 (1): 273–301. arXiv:0904.0158. Bibcode:2010CMaPh.294..273G. doi:10.1007/s00220-009-0933-y. S2CID 6369451. Grillakis, M.; Machedon, M.; Margetis, D. (2011). "Second-order corrections to mean field evolution of weakly interacting Bosons. II". Advances in Mathematics. 228 (3): 1788–1815. arXiv:1003.4713. doi:10.1016/j.aim.2011.06.028. S2CID 115160091.

References

Worked examples

Example 1 — a first encounter with Matei Machedon

Start with the simplest possible case. Write down what Matei Machedon 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 Matei Machedon 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 Matei Machedon 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 Matei Machedon

In research: Matei Machedon 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 Matei Machedon 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: Matei Machedon is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1960 births, 20th-century American mathematicians, 20th-century Romanian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Matei Machedon 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 “Matei Machedon” →

Affiliate

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

How to study Matei Machedon in 20 minutes

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

Frequently asked questions

What is Matei Machedon in simple terms?

Why does Matei Machedon 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 Matei Machedon?

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 Matei Machedon.