mathematics

Matilde Lalín

Matilde Lalín 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 Matilde Lalín rather than just read about it. In short: Matilde Noemí Lalín is an Argentine-Canadian mathematician specializing in number theory and known for her work on L-functions, Mahler measure, and their connections. She is a professor of mathematics at the Université de Montréal.

Key takeaways

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

Reference excerpt

Matilde Noemí Lalín is an Argentine-Canadian mathematician specializing in number theory and known for her work on L-functions, Mahler measure, and their connections. She is a professor of mathematics at the Université de Montréal.

Education and career Lalín is originally from Buenos Aires, and is a dual citizen of Argentina and Canada. As a high school student, she represented Argentina twice in the International Mathematical Olympiad, in 1993 and 1995, earning a silver medal in 1995. She earned a licenciatura in 1999 from the University of Buenos Aires. After starting graduate study at Princeton University and spending a term as a visiting student at Harvard University, she completed her doctorate in 2005 at the University of Texas at Austin. Her dissertation, Some Relations of Mahler Measure with Hyperbolic Volumes and Special Values of L-Functions, was supervised there by Fernando Rodriguez-Villegas. She became a postdoctoral researcher at the Institute for Advanced Study, Mathematical Sciences Research Institute, Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, and Pacific Institute for the Mathematical Sciences, before obtaining a tenure-track faculty position in 2007 as an assistant professor of mathematics at the University of Alberta. She moved to the Université de Montréal in 2010, earned tenure as an associate professor there in 2012, and was promoted to full professor in 2018.

Recognition Lalín is the 2022 winner of the Krieger–Nelson Prize of the Canadian Mathematical Society, "for her outstanding contributions to research in Number Theory and related areas". She was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to number theory, including the study of L-functions, and for service to the mathematical community". In 2024, she will become a fellow of the Association for Women in Mathematics, "For her ongoing contributions to the AWM, most notably her leadership role in the Women in Numbers Network and considerable contributions to its growth; her service to the International Mathematics Union Committee for Women; and for her ardent efforts towards making conferences more welcoming and accessible for researchers by actively advocating for childcare resources."

References

External links Home page Matilde Lalín publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Matilde Lalín

Start with the simplest possible case. Write down what Matilde Lalín 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 Matilde Lalín 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 Matilde Lalín 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 Matilde Lalín

In research: Matilde Lalín 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 Matilde Lalín 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: Matilde Lalín is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the University of Alberta, Academic staff of the Université de Montréal, Argentine mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Matilde Lalín 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 Matilde Lalín in 20 minutes

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

Frequently asked questions

What is Matilde Lalín in simple terms?

Why does Matilde Lalín 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 Matilde Lalín?

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 Matilde Lalín.