mathematics

Tomer Schlank

Tomer Schlank 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 Tomer Schlank rather than just read about it. In short: Tomer Moshe Schlank (Hebrew: תומר משה שלנק; born 1982) is an Israeli mathematician and a professor at the University of Chicago. Previously, he was a professor at Hebrew University of Jerusalem.

Key takeaways

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

Reference excerpt

Tomer Moshe Schlank (Hebrew: תומר משה שלנק; born 1982) is an Israeli mathematician and a professor at the University of Chicago. Previously, he was a professor at Hebrew University of Jerusalem. He primarily works in homotopy theory, algebraic geometry, and number theory. In 2022 he won the Erdős prize in mathematics and in 2023 he was awarded a European Research Council consolidator grant. He is an editor for the Israel Journal of Mathematics. In 2026 he was awarded the Clay Research Award.

Biography Schlank was born on July 29, 1982, in Jerusalem, Israel. He graduated with a bachelor's degree from Tel Aviv University in 2001 and a master's degree from Tel Aviv University in 2008. He received his Ph.D. from the Hebrew University of Jerusalem in January 2013, working under the supervision of Ehud de Shalit. His education was also influenced by the close proximity of David Kazhdan and Emmanuel Dror Farjoun. After completing his PhD, Schlank was hired as a Simons postdoctoral fellow at MIT. Afterwards he moved back to the Hebrew University in Jerusalem. Schlank is the great-grandson of the scientist Maria Pogonowska.

Research Schlank is primarily known for his work on chromatic homotopy theory. Together with Robert Burklund, Jeremy Hahn, and Ishan Levy, he disproved the telescope conjecture for all heights greater than 1 and for all primes. This was the last outstanding conjecture among Ravenel's conjectures. The disproof made use of his work on ambidexterity of the T(n)-local category and cyclotomic extensions of the T(n)-local sphere with Ben-Moshe, Carmeli, and Yanovski. With Barthel, Stapleton, and Weinstein, he calculated the homotopy groups of the rationalization of the K(n)-local sphere. With Burklund and Yuan, Schlank proved the "chromatic nullstellensatz", a version of Hilbert's nullstellensatz for the T(n)-local category in which Morava E-theories play the role of algebraically closed fields. This work resolved the Ausoni—Rognes redshift conjecture for E ∞ {\displaystyle E_{\infty }} -ring spectra and also produced E ∞ {\displaystyle E_{\infty }} -orientations of Morava E-theory. Schlank's early work was a synthesis of homotopy theory and number theory. With Harpaz, he developed homotopy obstructions to the existence of rational points on smooth varieties over number fields and related these homotopy obstructions to the Manin obstruction. He wrote his thesis, titled "Applications of homotopy theory to the study of obstructions to existence of rational points", on this topic. Schlank is known for the breadth of his work and for bringing together seemingly unrelated concepts from different fields to solve problems. In mathematics, he has published papers in algebraic geometry, algebraic topology, category theory, combinatorics, dynamical systems, geometric topology, number theory, and representation theory.

References

Illustrations

Worked examples

Example 1 — a first encounter with Tomer Schlank

Start with the simplest possible case. Write down what Tomer Schlank 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 Tomer Schlank 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 Tomer Schlank 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 Tomer Schlank

In research: Tomer Schlank 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 Tomer Schlank 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: Tomer Schlank is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1982 births, 21st-century mathematicians, Academics from Jerusalem, so understanding it makes those chapters shorter.
In everyday life: Look for Tomer Schlank 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 Tomer Schlank in 20 minutes

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

Frequently asked questions

What is Tomer Schlank in simple terms?

Why does Tomer Schlank 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 Tomer Schlank?

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 Tomer Schlank.