mathematics

Mark de Cataldo

Mark de Cataldo 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 Mark de Cataldo rather than just read about it. In short: Mark Andrea de Cataldo is an Italian mathematician. De Cataldo earned a doctorate from the University of Notre Dame in 1995, and began teaching at Stony Brook University in 1998–1999, after completing postdoctoral research at the Washington University in St.

Key takeaways

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

Reference excerpt

Mark Andrea de Cataldo is an Italian mathematician. De Cataldo earned a doctorate from the University of Notre Dame in 1995, and began teaching at Stony Brook University in 1998–1999, after completing postdoctoral research at the Washington University in St. Louis, the Max Planck Institute for Mathematics, and Harvard University. He is a member of the Institute for Advanced Study and has been awarded the Simons Foundation fellowship. In 2019, de Cataldo was elected a fellow of the American Mathematical Society.

References

Illustrations

Worked examples

Example 1 — a first encounter with Mark de Cataldo

Start with the simplest possible case. Write down what Mark de Cataldo 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 Mark de Cataldo 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 Mark de Cataldo 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 Mark de Cataldo

In research: Mark de Cataldo 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 Mark de Cataldo 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: Mark de Cataldo is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century Italian mathematicians, 21st-century Italian mathematicians, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Mark de Cataldo 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 Mark de Cataldo in 20 minutes

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

Frequently asked questions

What is Mark de Cataldo in simple terms?

Why does Mark de Cataldo 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 Mark de Cataldo?

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 Mark de Cataldo.