mathematics

Sabine Bögli

Sabine Bögli 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 Sabine Bögli rather than just read about it. In short: Sabine Bögli (also published as Boegli) is a Swiss mathematician specialising in mathematical analysis, including the spectral theory of non-self-adjoint Schrödinger operators and their applications in mathematical physics. Her research has resolved a decades-old dispute over the location of autoionizing resonances in atoms and molecules, answered a longstanding open question on the accumulation of eigenvalues of Sc…

Key takeaways

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

Reference excerpt

Sabine Bögli (also published as Boegli) is a Swiss mathematician specialising in mathematical analysis, including the spectral theory of non-self-adjoint Schrödinger operators and their applications in mathematical physics. Her research has resolved a decades-old dispute over the location of autoionizing resonances in atoms and molecules, answered a longstanding open question on the accumulation of eigenvalues of Schrödinger operators, and disproved a conjecture of Laptev and Safronov relating the magnitude of these eigenvalues to the norm of the potential. She works in England as an associate professor at Durham University.

Education and career Bögli is Swiss, and speaks Swiss German natively. After secondary education at the Gymnasium Biel-Seeland in Biel/Bienne, she studied mathematics at the University of Bern, receiving a bachelor's degree in 2010, a master's degree in 2012, and a Ph.D. in 2014. Her doctoral dissertation, Spectral approximation for linear operators and applications, was supervised by Christiane Tretter. After postdoctoral research at the University of Bern, Cardiff University, Imperial College London, and LMU Munich, and a Chapman Fellowship at Imperial College London, she joined Durham University as an assistant professor in 2019. She was promoted to associate professor in 2023.

Recognition Bögli was a 2024 recipient of the Whitehead Prize of the London Mathematical Society, given for her research on Schrödinger operators.

References

External links Home page

Worked examples

Example 1 — a first encounter with Sabine Bögli

Start with the simplest possible case. Write down what Sabine Bögli 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 Sabine Bögli 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 Sabine Bögli 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 Sabine Bögli

In research: Sabine Bögli 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 Sabine Bögli 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: Sabine Bögli is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century Swiss mathematicians, Living people, Mathematical analysts, so understanding it makes those chapters shorter.
In everyday life: Look for Sabine Bögli 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 Sabine Bögli in 20 minutes

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

Frequently asked questions

What is Sabine Bögli in simple terms?

Why does Sabine Bögli 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 Sabine Bögli?

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 Sabine Bögli.