mathematics

Selman Akbulut

Selman Akbulut 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 Selman Akbulut rather than just read about it. In short: Selman Akbulut (born 1949) is a Turkish mathematician, specializing in research in topology, and geometry. He was a professor at Michigan State University until February 2020.

Key takeaways

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

Reference excerpt

Selman Akbulut (born 1949) is a Turkish mathematician, specializing in research in topology, and geometry. He was a professor at Michigan State University until February 2020.

Career In 1975, he earned his Ph.D. from the University of California, Berkeley as a student of Robion Kirby. In topology, he has worked on handlebody theory, low-dimensional manifolds, symplectic topology, G2 manifolds. In the topology of real-algebraic sets, he and Henry C. King proved that every compact piecewise-linear manifold is a real-algebraic set; they discovered new topological invariants of real-algebraic sets. He was a visiting scholar several times at the Institute for Advanced Study (in 1975-76, 1980–81, 2002, and 2005). On February 14, 2020, Akbulut was removed from his tenured position at MSU by the Board of Trustees, after disputes over his teaching allotments and communications with colleagues.

Contributions He has developed 4-dimensional handlebody techniques, settling conjectures and solving problems about 4-manifolds, such as a conjecture of Christopher Zeeman, the Harer–Kas–Kirby conjecture, a problem of Martin Scharlemann, and problems of Sylvain Cappell and Julius Shaneson. He constructed an exotic compact 4-manifold (with boundary) from which he discovered "Akbulut corks". His most recent results concern the 4-dimensional smooth Poincaré conjecture. He has supervised 14 Ph.D. students as of 2019. He has more than 100 papers and three books published, and several books edited.

Notes

External links Selman Akbulut at the Mathematics Genealogy Project Akbulut's homepage Akbulut's papers at ArXiv Akbulut-King invariants Real algebraic geometry Akbulut cork

Illustrations

Worked examples

Example 1 — a first encounter with Selman Akbulut

Start with the simplest possible case. Write down what Selman Akbulut 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 Selman Akbulut 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 Selman Akbulut 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 Selman Akbulut

In research: Selman Akbulut 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 Selman Akbulut 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: Selman Akbulut is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1949 births, 20th-century Turkish mathematicians, 21st-century Turkish mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Selman Akbulut 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 Selman Akbulut in 20 minutes

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

Frequently asked questions

What is Selman Akbulut in simple terms?

Selman Akbulut (born 1949) is a Turkish mathematician, specializing in research in topology, and geometry. He was a professor at Michigan State University until February 2020.

Why does Selman Akbulut 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 Selman Akbulut?

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 Selman Akbulut.