mathematics

Wojciech Samotij

Wojciech Samotij 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 Wojciech Samotij rather than just read about it. In short: Wojciech Samotij (Polish: [ˈvɔjt͡ɕɛx saˈmɔtij]; born 1983 in Wrocław) is a Polish mathematician and a full professor at the School of Mathematical Sciences at the Tel Aviv University. He is known for his work in combinatorics, additive number theory, Ramsey theory and graph theory.

Key takeaways

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

Reference excerpt

Wojciech Samotij (Polish: [ˈvɔjt͡ɕɛx saˈmɔtij]; born 1983 in Wrocław) is a Polish mathematician and a full professor at the School of Mathematical Sciences at the Tel Aviv University. He is known for his work in combinatorics, additive number theory, Ramsey theory and graph theory.

Education and career He studied at the University of Wrocław where in 2007 he obtained his Master of Science degrees in mathematics and computer science. He received his PhD in 2011 at University of Illinois at Urbana-Champaign on the basis of his dissertation titled Extremal Problems In Pseudo-random Graphs And Asymptotic Enumeration and written under the supervision of József Balogh. Between 2010 and 2014, he was a fellow of the Trinity College, Cambridge at the University of Cambridge. Currently, he is an associate professor at Tel Aviv University. He published his scientific work in such journals as Random Structures & Algorithms, Journal of the American Mathematical Society, or Israel Journal of Mathematics.

Awards He received the 2013 Kuratowski Prize conferred jointly by the Polish Academy of Sciences and the Polish Mathematical Society to young mathematicians under the age of 30. The same year, he won the 2013 European Prize in Combinatorics. Samotij is also the recipient of the 2016 George Pólya Prize and the 2022 Erdős Prize. In 2024 he was awarded the Leroy P. Steele Prize for Seminal Contribution to Research jointly with József Balogh and Robert Morris.

Selected publications with József Balogh, Robert Morris, and Lutz Warnke: Balogh, József; Morris, Robert; Samotij, Wojciech; Warnke, Lutz (2016), "The typical structure of sparse K r + 1 {\displaystyle K_{r+1}} -free graphs", Transactions of the American Mathematical Society, 368: 6439–6485, arXiv:1307.5967, doi:10.1090/tran/6552, S2CID 17878868 with József Balogh and Robert Morris: Balogh, József; Morris, Robert; Samotij, Wojciech (2015), "Independent sets in hypergraphs", Journal of the American Mathematical Society, 28 (3): 669–709, arXiv:1204.6530, doi:10.1090/S0894-0347-2014-00816-X with Noga Alon, József Balogh, and Robert Morris: Alon, Noga; Balogh, József; Morris, Robert; Samotij, Wojciech (January 2014), "A refinement of the Cameron-Erdős conjecture", Proceedings of the London Mathematical Society, 108 (1): 44–72, arXiv:1202.5200, doi:10.1112/plms/pdt033, S2CID 1536592 with Noga Alon, József Balogh, and Robert Morris: Alon, Noga; Balogh, József; Morris, Robert; Samotij, Wojciech (January 2014), "Counting sum-free sets in Abelian groups", Israel Journal of Mathematics, 199: 309–344, arXiv:1201.6654, doi:10.1007/s11856-013-0067-y with Ron Peled: Peled, Ron; Samotij, Wojciech (August 2014), "Odd cutsets and the hard-core model on Z d {\displaystyle \mathbb {Z} ^{d}} ", Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 50 (3): 975–998, arXiv:1106.3594, doi:10.1214/12-AIHP535 with József Balogh: Balogh, József; Samotij, Wojciech (April 2011), "The number of K s , t {\displaystyle K_{s,t}} -free graphs", Journal of the London Mathematical Society, 83 (2): 368–388, doi:10.1112/jlms/jdq086, S2CID 7455668

See also List of Polish mathematicians Combinatorics Ramsey theory

References

Illustrations

Worked examples

Example 1 — a first encounter with Wojciech Samotij

Start with the simplest possible case. Write down what Wojciech Samotij 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 Wojciech Samotij 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 Wojciech Samotij 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 Wojciech Samotij

In research: Wojciech Samotij 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 Wojciech Samotij 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: Wojciech Samotij is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of Tel Aviv University, Combinatorialists, Erdős Prize recipients, so understanding it makes those chapters shorter.
In everyday life: Look for Wojciech Samotij 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 Wojciech Samotij in 20 minutes

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

Frequently asked questions

What is Wojciech Samotij in simple terms?

Why does Wojciech Samotij 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 Wojciech Samotij?

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 Wojciech Samotij.