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Panayotis G. Kevrekidis

Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis rather than just read about it. In short: Panayotis G. Kevrekidis is a professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst.

Key takeaways

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

Reference excerpt

Panayotis G. Kevrekidis is a professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. Kevrekidis earned his B.Sc. in physics in 1996 from the University of Athens. He obtained his M.S. in 1998 and his MPhil and Ph.D. in 2000 from Rutgers University, the latter under the joint supervision of Joel Lebowitz and Panos G. Georgopoulos. His thesis was entitled “Lattice Dynamics of Solitary Wave Excitations”. He then assumed a post-doctoral position split between the Program in Applied and Computational Mathematics of Princeton University (10/2000–02/2001) and the Theoretical Division and the Center for Nonlinear Studies of Los Alamos National Laboratory (03/2001–08/2001). From 09/2001, he joined the Department of Mathematics and Statistics of the University of Massachusetts Amherst as an assistant professor. He was awarded tenure and promotion to associate professor in 06/2005. As of 09/2010, he is a full professor at the same institution. He is presently the Stanislaw M. Ulam Scholar at the Center for Nonlinear Studies at Los Alamos National Laboratory.

Awards Kevrekidis has received numerous awards and distinctions. These include a CAREER award in Applied Mathematics from the U.S. National Science Foundation (in 2003), a Humboldt Research Fellowship from the Humboldt Foundation, an Outstanding Paper Prize from the Society for Industrial and Applied Mathematics (SIAM), and the 2008 Stefanos Pnevmatikos International Award for research in nonlinear phenomena. In 2013 he was awarded the J.D. Crawford Prize of the Society for Industrial and Applied Mathematics for outstanding research in nonlinear science. and the A.F. Pallas award from the Academy of Athens. In 2014 he was elected a Fellow of the American Physical Society. He was elected as a fellow of the Society for Industrial and Applied Mathematics in 2017, "for fundamental contributions to the existence, stability, and dynamics of nonlinear waves with applications to atomic, optical, and materials physics". He was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions in applied mathematics, especially in the theory and applications of nonlinear waves".

Research His research has been supported by numerous sources such as the NSF, the US Air Force, the European Research Council, and numerous private Foundations (Alexander von Humboldt, Alexander S. Onassis Public Benefit Foundation, and US–Israel Binational Science Foundation). Kevrekidis's interests are centered around the nonlinear dynamics of solitary waves in nonlinear partial differential equations and in lattice nonlinear differential difference equations and the properties (existence, stability, dynamics) of such waves. A focal point of this work concerns the applications of such tools and techniques to systems from physics (especially nonlinear optics and atomic physics), and materials science, biology and chemistry. He has published over 450 research papers in a wide variety of venues in nonlinear physics and applied mathematics, given over 130 research lectures in conferences and universities around the globe, is an associate editor of 3 journals and has authored 4 books; the first is entitled Emergent Nonlinear Phenomena in Bose-Einstein Condensates and is prefaced by Wolfgang Ketterle, one of the Nobel Prize Winners in that field, while the second is entitled The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives. They were published by Springer-Verlag in 2008 and 2009, respectively. He published his third book in November 2013, an edited volume together with a number of his collaborators on Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives, again by Springer-Verlag and his fourth book in 2014 with two co-editors on The sine-Gordon Model and its Applications: From Pendula and Josephson Junctions to Gravity and High Energy Physics. As quantitative measures of his impact to the research community, one can mention the h-index of 42 (in Web of Science, 52 in Google Scholar) and that his work (excluding self-citations) has been cited over 5300 times. Kevrekidis has created a tradition on nonlinear waves within the University of Massachusetts Amherst. He has graduated 8 PhD students, two of which hold tenure-track appointments (in UIUC and Cameron University), one that holds a staff member position at ORNL, two of which hold post-doctoral fellowships (at Los Alamos National Laboratory and at the University of Dallas) and three of which work in industry (being research analysts for Bank of America and for the CCC information services company). He has worked with 5 post-doctoral research scholars; alumni of this group hold now permanent positions at the University of Essex in the UK, the CNRS in France, and Bowdoin College, among others.

References

External links Home page Google scholar profile

Worked examples

Example 1 — a first encounter with Panayotis G. Kevrekidis

Start with the simplest possible case. Write down what Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis

In research
Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis 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
Panayotis G. Kevrekidis is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century American mathematicians, Fellows of the American Mathematical Society, Fellows of the American Physical Society, so understanding it makes those chapters shorter.
In everyday life
Look for Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Panayotis G. Kevrekidis means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Panayotis G. Kevrekidis out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Panayotis G. Kevrekidis in simple terms?

Panayotis G. Kevrekidis is a professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst.

Why does Panayotis G. Kevrekidis 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 Panayotis G. Kevrekidis?

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 Panayotis G. Kevrekidis.

Tags

  • 21st-century American mathematicians
  • Fellows of the American Mathematical Society
  • Fellows of the American Physical Society
  • Fellows of the Society for Industrial and Applied Mathematics
  • Living people
  • Rutgers University faculty
  • University of Massachusetts Amherst faculty

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