mathematics

Vladimir Markovic

Vladimir Markovic 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 Vladimir Markovic rather than just read about it. In short: Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D.

Key takeaways

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

Reference excerpt

Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D. MacArthur Professor at the California Institute of Technology (2013–2020) and Sadleirian Professor of Pure Mathematics at the University of Cambridge (2013–2014).

Education Marković was educated at the University of Belgrade where he was awarded a Bachelor of Science degree in 1995 and a PhD in 1998.

Career and research Previously, Marković has held positions at the University of Warwick, Stony Brook University and the University of Minnesota. Marković is editor of Proceedings of the London Mathematical Society. Marković's research interests are in low-dimensional geometry, topology and dynamics and functional and geometric analysis.

Awards and honours Marković was elected a Fellow of the Royal Society (FRS) in 2014. His nomination reads: Markovic is a world leader in the area of quasiconformal homeomorphisms and low dimensional topology and geometry. He has solved many famous and difficult problems. With Jeremy Kahn, he proved William Thurston's key conjecture that every closed hyperbolic 3-manifold contains an almost geodesic immersed surface. Marković was also awarded the Clay Research Award in 2012, Whitehead Prize and Philip Leverhulme Prize in 2004. In Fall of 2015 Marković worked as an Institute for Advanced Study member. In 2016 he received a Simons Investigator Award.

References

External links Caltech: Markovic Elected to Great Britain's Royal Society

Illustrations

Worked examples

Example 1 — a first encounter with Vladimir Markovic

Start with the simplest possible case. Write down what Vladimir Markovic 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 Vladimir Markovic 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 Vladimir Markovic 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 Vladimir Markovic

In research: Vladimir Markovic 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 Vladimir Markovic 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: Vladimir Markovic is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1973 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Markovic 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 Vladimir Markovic in 20 minutes

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

Frequently asked questions

What is Vladimir Markovic in simple terms?

Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D.

Why does Vladimir Markovic 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 Vladimir Markovic?

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 Vladimir Markovic.