astronomy

Philipp Habegger

Philipp Habegger is a astronomy 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 Philipp Habegger rather than just read about it. In short: Philipp Habegger (born 23 July 1978) is a Swiss mathematician and a professor of mathematics at the University of Basel who works in Diophantine geometry. Early life and education Habegger was born on 23 July 1978.

Key takeaways

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

Reference excerpt

Philipp Habegger (born 23 July 1978) is a Swiss mathematician and a professor of mathematics at the University of Basel who works in Diophantine geometry.

Early life and education Habegger was born on 23 July 1978. He received his Ph.D. under the supervision of David Masser at the University of Basel in 2007.

Career From 2008 to 2010, Habegger was a ETH Fellow at ETH Zurich. He moved to the University of Zurich for a lectureship position in 2010. In 2013, he was a von Neumann Fellow at the Institute for Advanced Study. As of 2021, Habegger is a professor of mathematics at the University of Basel.

Research Habegger's research focuses on height functions and their applications to unlikely intersections.

Selected publications Gao, Ziyang; Habegger, Philipp (2019). "Heights in families of abelian varieties and the Geometric Bogomolov Conjecture". Annals of Mathematics. 189 (2): 527. arXiv:1801.05762. doi:10.4007/annals.2019.189.2.3. JSTOR 10.4007/annals.2019.189.2.3. S2CID 56339965. Habegger, Philipp (2009). "Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension". Inventiones Mathematicae. 176 (2): 405–447. doi:10.1007/s00222-008-0170-6. hdl:20.500.11850/156804. ISSN 0020-9910. S2CID 122167169. Habegger, Philipp (2013). "Small height and infinite nonabelian extensions". Duke Mathematical Journal. 162 (11): 2027–2076. arXiv:1109.5859. doi:10.1215/00127094-2331342. ISSN 0012-7094. S2CID 119435006. Habegger, Philipp (2013). "Special points on fibered powers of elliptic surfaces". Journal für die reine und angewandte Mathematik. 2013 (685). arXiv:1110.1908. doi:10.1515/crelle-2012-0007. ISSN 0075-4102. S2CID 119138713. Habegger, P.; Pila, J. (2012). "Some unlikely intersections beyond André–Oort". Compositio Mathematica. 148 (1): 1–27. doi:10.1112/S0010437X11005604. ISSN 0010-437X.

References

External links Personal website

Worked examples

Example 1 — a first encounter with Philipp Habegger

Start with the simplest possible case. Write down what Philipp Habegger claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Philipp Habegger 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 Philipp Habegger 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 Philipp Habegger

In research: Philipp Habegger appears in astronomy 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 Philipp Habegger 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: Philipp Habegger is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1978 births, 21st-century Swiss mathematicians, Academic staff of ETH Zurich, so understanding it makes those chapters shorter.
In everyday life: Look for Philipp Habegger 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 Philipp Habegger in 20 minutes

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

Frequently asked questions

What is Philipp Habegger in simple terms?

Philipp Habegger (born 23 July 1978) is a Swiss mathematician and a professor of mathematics at the University of Basel who works in Diophantine geometry. Early life and education Habegger was born on 23 July 1978.

Why does Philipp Habegger matter?

Because it connects several astronomy 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 Philipp Habegger?

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 Philipp Habegger.