mathematics

Mehtaab Sawhney

Mehtaab Sawhney 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 Mehtaab Sawhney rather than just read about it. In short: Mehtaab Sawhney (born September 20, 1998) is an American mathematician, specializing in combinatorics and number theory. He is an assistant professor at Columbia University.

Key takeaways

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

Reference excerpt

Mehtaab Sawhney (born September 20, 1998) is an American mathematician, specializing in combinatorics and number theory. He is an assistant professor at Columbia University.

Early life and education Sawhney grew up in Commack, New York. While attending Commack High School, Sawhney competed in the United States of America Mathematical Olympiad (USAMO), and participated in MIT PRIMES. In 2016, for his research in graph theory through MIT PRIMES, he was named a semifinalist in the Intel Science Talent Search and won an award at the International Science and Engineering Fair. Sawhney attended the University of Pennsylvania for one year before transferring to the Massachusetts Institute of Technology (MIT), where he studied mathematics and computer science. He received an honorable mention in the Putnam Competition in 2016, 2018, and 2019. In 2020, he was awarded a Churchill Scholarship for further study in mathematics at Cambridge University, after which he returned to MIT for doctoral studies. With his frequent collaborator Ashwin Sah, he received an honorable mention for the Morgan Prize for undergraduate research in 2020, and won the Morgan Prize in 2021. He completed his PhD in 2024, supervised by Yufei Zhao.

Career At MIT, Sawhney was noted for his productive collaboration with fellow student Ashwin Sah in the fields of combinatorics and number theory. Sah and Sawhney each attended MIT for undergraduate and doctoral studies between 2017 and 2024. During that time, they co-authored more than 50 papers, on topics such as Ramsey theory, Steiner systems, subspace designs, and Szemerédi's theorem. In 2024, Sawhney collaborated with Ben Green to prove that, for any n ≡ 0, 4 (mod 6), there are infinitely many prime numbers of the form p2 + nq2, where p and q are themselves constrained to be prime numbers. The case n = 4 resolved a conjecture made by John Friedlander and Henryk Iwaniec in 2018. Sawhney was awarded a Clay Research Fellowship in 2024, and a Packard Fellowship in 2025. He became a tenure-track assistant professor of mathematics at Columbia University in 2024. He went on leave from Columbia in 2026 to join the artificial intelligence company OpenAI as a mathematician. In 2025, Sawhney and Mark Sellke used GPT-5, a large language model developed by OpenAI, to search the literature on several conjectures made by Paul Erdős in combinatorial number theory. In 2026, Sawhney and Sellke used GPT-5 to find a counterexample to Erdős's conjecture on unit distance graphs. GPT-5 provided a method to construct n points in the plane from which Ω(n1+ε) pairs of points are unit distance apart, for some ε > 0. A team of mathematicians simplified the argument and computed an explicit lower bound for the exponent ε to be 6 × 10−38; Will Sawin subsequently improved the exponent to ε ≈ 0.014. The construction is motivated by algebraic number theory, in particular the Golod–Shafarevich theorem, and involves high-dimensional lattices arising from CM-fields. Timothy Gowers hailed the result as "a milestone in AI mathematics".

References

External links Mehtaab Sawhney website at MIT Mehtaab Sawhney website at Columbia Mehtaab Sawhney at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Mehtaab Sawhney

Start with the simplest possible case. Write down what Mehtaab Sawhney 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 Mehtaab Sawhney 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 Mehtaab Sawhney 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 Mehtaab Sawhney

In research: Mehtaab Sawhney 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 Mehtaab Sawhney 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: Mehtaab Sawhney is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1998 births, 21st-century American mathematicians, American artificial intelligence researchers, so understanding it makes those chapters shorter.
In everyday life: Look for Mehtaab Sawhney 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 Mehtaab Sawhney in 20 minutes

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

Frequently asked questions

What is Mehtaab Sawhney in simple terms?

Mehtaab Sawhney (born September 20, 1998) is an American mathematician, specializing in combinatorics and number theory. He is an assistant professor at Columbia University.

Why does Mehtaab Sawhney 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 Mehtaab Sawhney?

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 Mehtaab Sawhney.