mathematics

José Felipe Voloch

José Felipe Voloch 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 José Felipe Voloch rather than just read about it. In short: José Felipe Voloch (born 13 February 1963, in Rio de Janeiro) is a Brazilian mathematician who works on number theory and algebraic geometry. He has been a professor at the University of Canterbury since 2016.

Key takeaways

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

Reference excerpt

José Felipe Voloch (born 13 February 1963, in Rio de Janeiro) is a Brazilian mathematician who works on number theory and algebraic geometry. He has been a professor at the University of Canterbury since 2016.

Career Voloch earned his Ph.D. from the University of Cambridge in 1985 under the supervision of John William Scott Cassels. He was a professor at the University of Texas, Austin.

Awards He is a member of the Brazilian Academy of Sciences.

Selected publications Coleman, Robert F.; Voloch, José Felipe (1992), "Companion forms and Kodaira-Spencer theory", Invent. Math., 110: 263–281, Bibcode:1992InMat.110..263C, doi:10.1007/bf01231333, MR 1185584, S2CID 121416817

References

External links https://scholar.google.com/citations?user=r0Jun08AAAAJ

Illustrations

Worked examples

Example 1 — a first encounter with José Felipe Voloch

Start with the simplest possible case. Write down what José Felipe Voloch 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 José Felipe Voloch 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 José Felipe Voloch 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 José Felipe Voloch

In research: José Felipe Voloch 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 José Felipe Voloch 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: José Felipe Voloch is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, Algebraic geometers, Alumni of the University of Cambridge, so understanding it makes those chapters shorter.
In everyday life: Look for José Felipe Voloch 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “José Felipe Voloch” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study José Felipe Voloch in 20 minutes

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

Frequently asked questions

What is José Felipe Voloch in simple terms?

Why does José Felipe Voloch 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 José Felipe Voloch?

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 José Felipe Voloch.