mathematics

Vesselin Dimitrov

Vesselin Dimitrov 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 Vesselin Dimitrov rather than just read about it. In short: Vesselin Atanasov Dimitrov (in Bulgarian: Веселин Атанасов Димитров) is a Bulgarian mathematician known for his work in arithmetic geometry, Diophantine geometry, modular forms and number theory. He is currently a professor at Caltech, having previously taught at the University of Toronto.

Key takeaways

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

Reference excerpt

Vesselin Atanasov Dimitrov (in Bulgarian: Веселин Атанасов Димитров) is a Bulgarian mathematician known for his work in arithmetic geometry, Diophantine geometry, modular forms and number theory. He is currently a professor at Caltech, having previously taught at the University of Toronto. Dimitrov received the Oberwolfach Prize and the David Goss Prize in 2022. In 2025, he received the Salem Prize and the Fermat Prize, and in 2026, the Cole Prize in Number Theory.

Research in mathematics In 2019 Dimitrov proved the Schinzel–Zassenhaus conjecture on algebraic units that are not roots of unity. Together with Ziyang Gao and Philipp Habegger, he proved a uniform version of the Mordell conjecture. In collaboration with Frank Calegari and Yunqing Tang, Dimitrov proved the unbounded denominators conjecture of Atkin and Swinnerton-Dyer: if a modular form ⁠ f ( τ ) {\displaystyle f(\tau )} ⁠ is not modular for some congruence subgroup of the modular group, then the Fourier coefficients of ⁠ f ( τ ) {\displaystyle f(\tau )} ⁠ have unbounded denominators.

Early life and education In 2005, he won a silver medal in the International Mathematics Olympiad, representing Bulgaria. He earned a PhD from Yale University in 2017 under the supervision of Alexander Goncharov. His thesis is titled "Diophantine approximations by special points and applications to Dynamics and Geometry".

Awards Dimitrov's work has been recognized by the following awards:

2022: David Goss Prize (shared with Ziyang Gao); Oberwolfach Prize 2023: IMI Mathematics Prize (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences) 2025: Salem Prize, "for fundamental contributions to Diophantine geometry and number theory"; Fermat Prize. 2026: New Horizons in Mathematics Prize (shared with Yunqing Tang); Cole Prize in Number Theory (shared with Frank Calegari and Yunqing Tang), for their paper "The unbounded denominators conjecture".

References

External links YouTube: "CDM 2023: Vesselin Dimitrov: Modular forms and arithmetic algebraization methods"

Illustrations

Worked examples

Example 1 — a first encounter with Vesselin Dimitrov

Start with the simplest possible case. Write down what Vesselin Dimitrov 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 Vesselin Dimitrov 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 Vesselin Dimitrov 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 Vesselin Dimitrov

In research: Vesselin Dimitrov 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 Vesselin Dimitrov 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: Vesselin Dimitrov is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1986 births, 21st-century mathematicians, American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vesselin Dimitrov 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 Vesselin Dimitrov in 20 minutes

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

Frequently asked questions

What is Vesselin Dimitrov in simple terms?

Why does Vesselin Dimitrov 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 Vesselin Dimitrov?

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 Vesselin Dimitrov.