mathematics

Maria Colombo (mathematician)

Maria Colombo (mathematician) 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 Maria Colombo (mathematician) rather than just read about it. In short: Maria Colombo (born 25 May 1989) is an Italian mathematician specializing in mathematical analysis. She is a professor at the EPFL (École Polytechnique Fédérale de Lausanne) in Switzerland, where she holds the chair for mathematical analysis, calculus of variations and partial differential equations.

Key takeaways

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

Reference excerpt

Maria Colombo (born 25 May 1989) is an Italian mathematician specializing in mathematical analysis. She is a professor at the EPFL (École Polytechnique Fédérale de Lausanne) in Switzerland, where she holds the chair for mathematical analysis, calculus of variations and partial differential equations.

Education and career Colombo was born in Luino, near the Swiss border with Italy. She competed for Italy in the 2005, 2006, and 2007 International Mathematical Olympiads, earning bronze, gold, and silver medals respectively. She earned bachelor's and master's degrees in mathematics at the University of Pisa in 2010 and 2011, and completed a PhD in 2015 at the Scuola Normale Superiore di Pisa, under the joint supervision of Luigi Ambrosio and Alessio Figalli. Her dissertation, Flows of non-smooth vector fields and degenerate elliptic equations: With applications to the Vlasov-Poisson and semigeostrophic systems, was published as a book in 2017 by Edizioni della Normale. She did postdoctoral research with Camillo De Lellis at the University of Zurich and was a junior fellow at the Institute of Theoretical Studies at ETH Zurich. She then joined the EPFL as an assistant professor in 2018, and was promoted to full professor in 2021.

Recognition The Accademia dei Lincei gave Colombo their Gioacchino Iapichino Prize for 2016. She was the 2017 winner of the Carlo Miranda Prize of the National Society of Sciences, Letters and Arts of Naples, and the 2019 winner of the Bartolozzi Prize of the Italian Mathematical Union. She is the 2022 winner of the biennial Peter Lax Award, to be given at the International Conference on Hyperbolic Problems, and the 2023 winner of the Collatz Prize of the International Council for Industrial and Applied Mathematics, "for her fundamental contributions to regularity theory and the analysis of singularities in elliptic partial differential equations, geometric variational problems, transport equations, and incompressible fluid dynamics". In 2024, she was awarded the EMS Prize for breakthrough results in fluid dynamics, optimal transport and kinetic theory, and for her impact on analysis more broadly. That same year, she was awarded the Stampacchia Medal.

Personal life Colombo is married to an engineer, with whom she has four children.

References

External links Home page Website of the Chair of Mathematical Analysis, Calculus of Variations and PDEs Maria Colombo publications indexed by Google Scholar

Illustrations

Worked examples

Example 1 — a first encounter with Maria Colombo (mathematician)

Start with the simplest possible case. Write down what Maria Colombo (mathematician) 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 Maria Colombo (mathematician) 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 Maria Colombo (mathematician) 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 Maria Colombo (mathematician)

In research: Maria Colombo (mathematician) 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 Maria Colombo (mathematician) 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: Maria Colombo (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1989 births, 21st-century mathematicians, Academic staff of the École Polytechnique Fédérale de Lausanne, so understanding it makes those chapters shorter.
In everyday life: Look for Maria Colombo (mathematician) 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 Maria Colombo (mathematician) in 20 minutes

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

Frequently asked questions

What is Maria Colombo (mathematician) in simple terms?

Why does Maria Colombo (mathematician) 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 Maria Colombo (mathematician)?

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 Maria Colombo (mathematician).