mathematics

Mariusz Wodzicki

Mariusz Wodzicki 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 Mariusz Wodzicki rather than just read about it. In short: Mariusz Wodzicki (Polish: [ˈmarjuʂ vɔˈd͡ʑit͡skʲi]; born 1956) is a Polish mathematician and professor of mathematics at the University of California, Berkeley, whose works primarily focus on analysis, algebraic K-theory, noncommutative geometry, and algebraic geometry. Life and career Wodzicki was born in Bytom, Poland in 1956.

Key takeaways

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

Reference excerpt

Mariusz Wodzicki (Polish: [ˈmarjuʂ vɔˈd͡ʑit͡skʲi]; born 1956) is a Polish mathematician and professor of mathematics at the University of California, Berkeley, whose works primarily focus on analysis, algebraic K-theory, noncommutative geometry, and algebraic geometry.

Life and career Wodzicki was born in Bytom, Poland in 1956. He received a MSc from Moscow State University in 1980, and he completed his doctoral degree in 1984 at the Steklov Institute of Mathematics in Moscow under the advisement of Yuri Manin (Spectral Asymmetry and Zeta-Functions). In 1985–1986 he was a research assistant at the Mathematical Institute, University of Oxford, after which he became an assistant professor at the Mathematical Institute of the Polish Academy of Sciences. He is currently a professor of mathematics at the University of California, Berkeley. In 1992, Wodzicki was an invited speaker of the European Congress of Mathematics in Paris (Algebraic K-theory and functional analysis). In 1994, he was an invited speaker of the International Congress of Mathematicians in Zürich (The algebra of functional analysis).

Selection of writings Dykema, Ken; Figiel, Tadeusz; Weiss, Gary; Wodzicki, Mariusz (2004). "Commutator structure of operator ideals". Advances in Mathematics. 185 (1): 1–79. doi:10.1016/S0001-8708(03)00141-5. Vestigia investiganda. Moscow Mathematical Journal, vol 2, 2002, pp. 769–798, 806. with Ken Dykema, Gary Weiss: Unitarily invariant trace extensions beyond the trace class. In: Complex analysis and related topics (Cuernavaca, 1996) Oper. Theory Adv. Appl. vol. 114, 2000, pp. 59–65 Algebraic K-theory and functional analysis, ECM Paris 1992, Birkhäuser, Progress in Mathematics, 1994 Suslin, Andrei A.; Wodzicki, Mariusz (1992). "Excision in algebraic K-theory". Annals of Mathematics. 136 (1): 51–122. doi:10.2307/2946546. JSTOR 2946546. MR 1173926. Zbl 0756.18008. Wodzicki, Mariusz (1989). "Excision in cyclic homology and in rational algebraic K-theory". Annals of Mathematics. 129 (3): 591–639. doi:10.2307/1971518. JSTOR 1971518. MR 0997314. Zbl 0689.16013.

Illustrations

Worked examples

Example 1 — a first encounter with Mariusz Wodzicki

Start with the simplest possible case. Write down what Mariusz Wodzicki 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 Mariusz Wodzicki 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 Mariusz Wodzicki 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 Mariusz Wodzicki

In research: Mariusz Wodzicki 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 Mariusz Wodzicki 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: Mariusz Wodzicki is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1956 births, Functional analysts, Living people, so understanding it makes those chapters shorter.
In everyday life: Look for Mariusz Wodzicki 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 Mariusz Wodzicki in 20 minutes

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

Frequently asked questions

What is Mariusz Wodzicki in simple terms?

Why does Mariusz Wodzicki 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 Mariusz Wodzicki?

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 Mariusz Wodzicki.