mathematics

Pietro Corvaja

Pietro Corvaja 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 Pietro Corvaja rather than just read about it. In short: Pietro Corvaja (born 19 July 1967 in Padua, Italy) is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the University of Udine.

Key takeaways

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

Reference excerpt

Pietro Corvaja (born 19 July 1967 in Padua, Italy) is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the University of Udine.

Early life and education Corvaja was born in Padua, Italy on 19 July 1967. He graduated with a scientific high school diploma from a liceo scientifico in 1985, before enrolling in the University of Pisa as a student of the Scuola Normale Superiore di Pisa. He graduated from the Scuola Normale with an undergraduate thesis on the theory of transcendental numbers under the direction of Roberto Dvornicich in 1989. After a one year scholarship at INdAM from 1989 to 1990, Corvaja completed his PhD under Michel Waldschmidt and Michel Laurent at Pierre and Marie Curie University in 1995. From 1994 to 1995, he was also a research assistant at the Università Iuav di Venezia as a collaborator of Umberto Zannier. In 2001, Corvaja obtained his habilitation qualification at Pierre and Marie Curie University.

Career In 1995, Corvaja became a researcher at the University of Udine. From 1997 to 1998, he was a member of the Institute for Advanced Study under the direction of Enrico Bombieri. In 2002, Corvaja became an associate professor of algebra at the University of Udine. Since 2005, he has been a professor of geometry at the University of Udine. Corvaja is the coordinator of the mathematics program and the vice director of the Scuola Superiore (School of Excellence) of the University of Udine.

Research Corvaja and Zannier gave a new proof of Siegel's theorem on integral points in 2002 by using a new method based on the subspace theorem.

Awards Corvaja was inducted into the Istituto Veneto di Scienze, Lettere ed Arti on 26 May 2016.

Selected publications with J. Noguchi: A new unicity theorem and Erdős' problem for polarized semi-abelian varieties, Math. Ann., vol. 353, no. 2 (2012), pp. 439–464. with U. Zannier: A subspace theorem approach to integral points on curves, Compte Rendu Acad. Sci., vol. 334, 2002, pp. 267–271 doi:10.1016/S1631-073X(02)02240-9 with U. Zannier: Finiteness of Integral Values for the Ratio of Two Linear Recurrences, Inventiones Mathematicae, vol. 149, 2002, pp. 431–451. doi:10.1007/s002220200221 with U. Zannier: On Integral Points on Surfaces, Annals of Mathematics, Vol. 160, 2004, pp. 705–726. arXiv preprint with U. Zannier: On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France, Acta Mathematica, vol. 193, no. 2, 2004, pp. 175–191. doi:10.1007/BF02392563 with U. Zannier: Some cases of Vojta's conjecture on integral points over function fields, Journal of Algebraic Geometry, vol. 17, 2008, pp. 295–333. arXiv preprint

References

External links Pietro Corvaja at the Mathematics Genealogy Project ORCID 0000-0001-8762-4163

Illustrations

Worked examples

Example 1 — a first encounter with Pietro Corvaja

Start with the simplest possible case. Write down what Pietro Corvaja 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 Pietro Corvaja 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 Pietro Corvaja 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 Pietro Corvaja

In research: Pietro Corvaja 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 Pietro Corvaja 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: Pietro Corvaja is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1967 births, 20th-century Italian mathematicians, 21st-century Italian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Pietro Corvaja 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 Pietro Corvaja in 20 minutes

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

Frequently asked questions

What is Pietro Corvaja in simple terms?

Pietro Corvaja (born 19 July 1967 in Padua, Italy) is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the University of Udine.

Why does Pietro Corvaja 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 Pietro Corvaja?

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 Pietro Corvaja.