mathematics

Viveka Erlandsson

Viveka Erlandsson 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 Viveka Erlandsson rather than just read about it. In short: Viveka Erlandsson is a Swedish mathematician specialising in low-dimensional topology and geometry, and known in particular for extending the work of Maryam Mirzakhani on counting geodesics on hyperbolic manifolds. She is a lecturer at the University of Bristol and in a part position an associate professor at UiT The Arctic University of Norway.

Key takeaways

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

Reference excerpt

Viveka Erlandsson is a Swedish mathematician specialising in low-dimensional topology and geometry, and known in particular for extending the work of Maryam Mirzakhani on counting geodesics on hyperbolic manifolds. She is a lecturer at the University of Bristol and in a part position an associate professor at UiT The Arctic University of Norway.

Education and career Erlandsson earned a bachelor's degree in applied mathematics from San Francisco State University in 2004, and continued at the same university for a master's degree in 2006. She became a lecturer at Baruch College and Hunter College in the City University of New York system, while pursuing a doctorate in mathematics through the Graduate Center of the City University of New York, which she completed in 2013. Her dissertation, The Margulis region in hyperbolic 4-space, was supervised by Ara Basmajian. After postdoctoral research at Aalto University and the University of Helsinki in Finland, she became a lecturer in mathematics at the University of Bristol in 2017.

Book Erlandsson is the coauthor of the book Geodesic Currents and Mirzakhani’s Curve Counting, with Juan Souto, to be published by Springer in 2022.

Recognition Erlandsson is the 2021 winner of the Anne Bennett Prize of the London Mathematical Society, given to her "for her outstanding achievements in geometry and topology and her inspirational active role in promoting women mathematicians". She was a 2024 recipient of the Whitehead Prize, "for her outstanding work on curve counting on surfaces" and for her "extraordinary rigidity theorem for bounce sequences associated to billiard tables".

References

External links Home page Viveka Erlandsson publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Viveka Erlandsson

Start with the simplest possible case. Write down what Viveka Erlandsson 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 Viveka Erlandsson 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 Viveka Erlandsson 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 Viveka Erlandsson

In research: Viveka Erlandsson 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 Viveka Erlandsson 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: Viveka Erlandsson is common in secondary-school and first-year university syllabi. It links to neighbouring topics Baruch College faculty, CUNY Graduate Center alumni, Hunter College faculty, so understanding it makes those chapters shorter.
In everyday life: Look for Viveka Erlandsson 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 Viveka Erlandsson in 20 minutes

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

Frequently asked questions

What is Viveka Erlandsson in simple terms?

Why does Viveka Erlandsson 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 Viveka Erlandsson?

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 Viveka Erlandsson.