astronomy

Thomas W. Scanlon

Thomas W. Scanlon 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 Thomas W. Scanlon rather than just read about it. In short: Thomas Warren Scanlon is an American mathematician known for his work in model theory. He was selected for the Gödel Lecture in 2024.

Key takeaways

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

Reference excerpt

Thomas Warren Scanlon is an American mathematician known for his work in model theory. He was selected for the Gödel Lecture in 2024.

Education and career Scanlon studied mathematics at the University of Chicago, earning a bachelor’s degree in 1993, and obtained his Ph.D. at Harvard University in 1997 under Ehud Hrushovski. His thesis was titled Model Theory of Valued D-Fields with Applications to Diophantine Approximations in Algebraic Groups. He is a professor at the University of California, Berkeley. His work lies in mathematical logic—particularly Model theory—with applications to number theory and arithmetic geometry (including the André–Oort conjecture) and in algebra and Differential algebra. In 2006, Scanlon was an invited speaker at the International Congress of Mathematicians in Madrid, speaking on Analytic difference rings. In 2024, Scanlon was selected for the Gödel Lecture.

Selected publications In addition to the works cited in the footnotes:

A model complete theory of valued D-fields. In: Journal of Symbolic Logic, vol. 65, 2000, pp. 1758–1784. with Jan Krajicek: Combinatorics with definable sets: Euler characteristics and Grothendieck rings. In: Bulletin of Symbolic Logic, vol. 6, 2000, pp. 311–330. Diophantine geometry from model theory. In: Bulletin of Symbolic Logic, vol. 7, 2001, pp. 37–57. A Euclidean Skolem–Mahler–Lech–Chabauty method. In: Math. Res. Lett., vol. 18, 2011, pp. 833–842. with Itay Kaplan, Frank Wagner: Artin–Schreier extensions in NIP and simple fields. In: Israel J. Math., vol. 185, 2011, pp. 141–153. ArXiv with Rahim Moosa: Generalized Hasse–Schmidt varieties and their jet spaces. In: Proc. Lond. Math. Soc., vol. 103, 2011, pp. 197–234. ArXiv with Dragoș Ghioca: Algebraic equations on the adèlic closure of a Drinfeld module. In: Israel J. Math., vol. 194, 2013, pp. 461–483. ArXiv Counting special points: Logic, diophantine geometry, and transcendence theory. In: Bulletin of the AMS, vol. 49, 2012, pp. 51–71. Online with R. Benedetto, D. Ghioca, B. Hutz, P. Kurlberg, T. Tucker: Periods of rational maps modulo primes. In: Mathematische Annalen, vol. 355, 2013, pp. 637–660. ArXiv with Alice Medvedev: Invariant varieties for polynomial dynamical systems. In: Annals of Mathematics, vol. 179, 2014, pp. 81–177. Online with Yu Yasufuku: Exponential-polynomial equations and dynamical return sets. In: Int. Math. Res. Notes, 2013. ArXiv O-minimality. In: Gazette des mathématiciens, no. 149, July 2016. with James Freitag: Strong minimality and the –function. In: Journal of the European Mathematical Society, vol. 20, 2017, pp. 119–136. ArXiv

References

External links Website at Berkeley Thomas Scanlon publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Thomas W. Scanlon

Start with the simplest possible case. Write down what Thomas W. Scanlon 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 Thomas W. Scanlon 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 Thomas W. Scanlon 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 Thomas W. Scanlon

In research: Thomas W. Scanlon 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 Thomas W. Scanlon 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: Thomas W. Scanlon is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century births, 21st-century mathematicians, American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Thomas W. Scanlon 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 Thomas W. Scanlon in 20 minutes

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

Frequently asked questions

What is Thomas W. Scanlon in simple terms?

Thomas Warren Scanlon is an American mathematician known for his work in model theory. He was selected for the Gödel Lecture in 2024.

Why does Thomas W. Scanlon 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 Thomas W. Scanlon?

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 Thomas W. Scanlon.