mathematics

Marta Lewicka

Marta Lewicka 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 Marta Lewicka rather than just read about it. In short: Marta Lewicka (born 23 November 1972) is a Polish-American professor of mathematics at the University of Pittsburgh, specializing in mathematical analysis. Lewicka has contributed results in the theory of hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, nonlinear elasticity, nonlinear potential theory and differential games.

Key takeaways

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

Reference excerpt

Marta Lewicka (born 23 November 1972) is a Polish-American professor of mathematics at the University of Pittsburgh, specializing in mathematical analysis. Lewicka has contributed results in the theory of hyperbolic systems of conservation laws, fluid dynamics, calculus of variations, nonlinear elasticity, nonlinear potential theory and differential games.

Career Lewicka earned bachelor's and master's degrees in mathematics in 1996 from the University of Gdańsk, and a second engineering bachelor's degree in computer science in 1998 from Częstochowa University of Technology. She completed her Ph.D. in 2000 from the International School for Advanced Studies in Trieste, Italy under the supervision of Alberto Bressan. After postdoctoral research at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany and a term as L.E. Dickson Instructor at the University of Chicago, she joined the University of Minnesota faculty in 2005. She moved in 2010 to Rutgers University, and again in 2011 to the University of Pittsburgh. In 2023-2024 she is the Vice Chair of the Society for Industrial and Applied Mathematics Activity Group on Analysis of Partial Differential Equations.

Recognition In 2016, she gave an AMS invited address at the AMS/MAA Joint Mathematical Meetings in the area of nonlinear elasticity and geometry of prestrained materials. In 2017, she gave a Howard Rowlee Lecture. In 2017, she received Professor's scientific title, awarded in Poland by the President of the Republic of Poland. In 2018, she received a Simons Fellowship in Mathematics. She was elected a Fellow of the American Mathematical Society in the Class of 2021, with citation "For contributions to partial differential equations, calculus of variations, and continuum mechanics." In 2022 she was a fellow of the Lady Davis Foundation and a visiting professor at the Hebrew University of Jerusalem. She was named as a Fellow of the Association for Women in Mathematics, in the 2027 class of fellows, "for sustained leadership and impact in advancing women and girls in mathematics through mentorship, community building, and outreach initiatives".

Books Lewicka, Marta (2020). A Course on Tug-of-War Games with Random Noise. Introduction and Basic Constructions. Universitext. Springer International Publishing. p. 263. Lewicka, Marta (2023). Calculus of Variations on Thin Prestressed Films. Asymptotic Methods in Elasticity. Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser. p. 460.

External links Marta Lewicka's Home Page Mathematical Genealogy of Marta Lewicka Notices of The American Mathematical Society expository paper based on Lewicka's AMS Invited address, pages 8-11

Worked examples

Example 1 — a first encounter with Marta Lewicka

Start with the simplest possible case. Write down what Marta Lewicka 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 Marta Lewicka 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 Marta Lewicka 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 Marta Lewicka

In research: Marta Lewicka 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 Marta Lewicka 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: Marta Lewicka is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1972 births, 20th-century Polish mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Marta Lewicka 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 Marta Lewicka in 20 minutes

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

Frequently asked questions

What is Marta Lewicka in simple terms?

Why does Marta Lewicka 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 Marta Lewicka?

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 Marta Lewicka.