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mathematics

June Huh

June Huh 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 June Huh rather than just read about it. In short: June E Huh (Korean: 허준이; born June 9, 1983) is an American mathematician who is currently a professor at Princeton University. Previously, he was a professor at Stanford University.

June Huh — main illustration
June Huh — illustration

Key takeaways

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

Reference excerpt

June E Huh (Korean: 허준이; born June 9, 1983) is an American mathematician who is currently a professor at Princeton University. Previously, he was a professor at Stanford University. He was awarded the Fields Medal and a MacArthur Fellowship in 2022. He has been noted for the linkages that he has found between algebraic geometry and combinatorics.

Early life and education Huh was born in Stanford, California while his parents were completing graduate school at Stanford University. He was raised in South Korea, where his family returned when he was approximately two years old. His father was a professor of statistics at Korea University, while his mother was a professor of Russian language at Seoul National University. Poor scores on elementary school tests convinced him that he lacked the innate aptitude to excel in mathematics. He later dropped out of high school to focus on writing poetry after becoming bored and exhausted by the constant routine of relentless studying. Huh has been described as a late bloomer, both in terms of his career phenomena and with regards to his academic and professional development. Huh matriculated at Seoul National University in 2002, but found himself initially unsettled and suffering from depression. He pinned his initial career aspirations on becoming a science journalist and decided to major in physics and astronomy, but compiled a poor attendance record and had to repeat several courses that he initially failed at. Early in his studies he was mentored by Japanese award-winning mathematician Heisuke Hironaka, who went to Seoul National University as a visiting professor. Having failed several courses, Huh took an algebraic geometry course under Hironaka in his sixth year which focused on singularity theory and was based on Hironaka's current research rather than established teaching material. Huh credited the course with sparking his interest in research-level math. Huh then proceeded to complete a master's degree at Seoul National University, while frequently travelling to Japan with Hironaka and acting as his personal assistant. Due to his poor academic record as an undergraduate, Huh was rejected from all but one of the American universities that he applied to. He started his Ph.D. studies at the University of Illinois Urbana-Champaign in 2009, before transferring to the University of Michigan in 2011. He graduated in 2014 with a thesis written under the direction of Mircea Mustață at the age of 31. He was awarded the Sumner Byron Myers Prize for his PhD thesis.

Career In 2009, during his PhD studies, Huh proved the Read–Hoggar conjecture, about the unimodality of coefficients of chromatic polynomials in graph theory, which had been unresolved for more than 40 years. In joint work with Karim Adiprasito and Eric Katz, he resolved the Heron–Rota–Welsh conjecture on the log-concavity of the characteristic polynomial of matroids. With Karim Adiprasito, he is one of the five winners of the 2019 New Horizons in Mathematics Prize, associated with the Breakthrough Prize in Mathematics. He was a winner of Blavatnik Award for Young Scientists (U.S. Regional) in 2017. In 2018, Huh was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro. In 2021, he received the Samsung Ho-Am Prize in Science for physics and mathematics. Huh was awarded the 2022 Fields Medal for "bringing the ideas of Hodge theory to combinatorics, the proof of the Dowling–Wilson conjecture for geometric lattices, the proof of the Heron–Rota–Welsh conjecture for matroids, the development of the theory of Lorentzian polynomials, and the proof of the strong Mason conjecture". Huh is the seventh recipient of East Asian ancestry and the first winner of Korean ancestry.

Personal life Huh is married to Kim Nayoung, whom he met during his studies while attending Seoul National University. Kim is a graduate of Seoul National University where she earned her doctorate in mathematics. The couple have two sons.

References

External links June Huh publications indexed by Google Scholar

Illustrations

June Huh illustration

Worked examples

Example 1 — a first encounter with June Huh

Start with the simplest possible case. Write down what June Huh 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 June Huh 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 June Huh 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 June Huh

In research
June Huh 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 June Huh 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
June Huh is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1983 births, 21st-century American mathematicians, Algebraic geometers, so understanding it makes those chapters shorter.
In everyday life
Look for June Huh 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 June Huh in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what June Huh means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain June Huh out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is June Huh in simple terms?

June E Huh (Korean: 허준이; born June 9, 1983) is an American mathematician who is currently a professor at Princeton University. Previously, he was a professor at Stanford University.

Why does June Huh 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 June Huh?

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 June Huh.

Tags

  • 1983 births
  • 21st-century American mathematicians
  • Algebraic geometers
  • American academics of Korean descent
  • American expatriates in South Korea
  • Combinatorialists
  • Fields Medalists
  • Institute for Advanced Study visiting scholars
  • Living people
  • MacArthur Fellows
  • Mathematicians from California
  • People from Stanford, California

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