NYU Professor Hong Wang Awarded Fields Medal for Groundbreaking Mathematical Work
Professor Hong Wang from New York University has made history by being awarded the Fields Medal, a prestigious accolade recognized as the highest honor in mathematics. The International Mathematical Union announced this accolade during their conference in Philadelphia, marking a significant milestone in Wang's academic career.
As a Silver Professor of Mathematics at NYU's Courant Institute School of Mathematics, Computing, and Data Science, Wang was honored for her groundbreaking work that resolved a long-standing question in the fields of harmonic analysis and geometric measure theory—the Kakeya conjecture in three dimensions. This mathematical conundrum revolves around determining how small a set can be while still containing a unit-length needle in all directions. It was first proposed by Japanese mathematician Sōichi Kakeya in 1917, and the challenge posed by this problem has kept mathematicians engaged for over a century.
In 2025, Wang collaborated with Joshua Zahl from the Chern Institute of Mathematics at Nankai University to demonstrate that Kakeya sets, which correlate closely with the Kakeya needle sets, cannot be 'too small.' While these sets can theoretically have zero volume in three-dimensional space, they must still possess three-dimensional characteristics. Their work represented a groundbreaking shift in understanding the intricate relationships within geometric measure theory.
Reflecting on her award, Professor Wang remarked, "Moments like this never belong to just one person. They are the culmination of years of chance encounters and unexpected questions that steer you in the right direction. I have been so lucky to work alongside brilliant colleagues at every stage of my career, and this honor is theirs as much as it is mine." Her humility and appreciation for collaboration underscore the support she has received throughout her illustrious career.
NYU President Linda G. Mills expressed immense pride in Professor Wang's achievements, stating, "The world is recognizing what her NYU colleagues and students have known for years—she is one of the most remarkable minds in mathematics today. Resolving this century-old conjecture has opened new pathways of thought and inquiry that will resonate for decades to come."
At just 35 years of age, Wang is the first NYU faculty member to receive this coveted honor and stands as one of only three women to ever win the Fields Medal. This recognition further elevates the reputation of the Courant Institute of Mathematics—an institute that is at the forefront of mathematical research and education.
Wang’s accolades don’t stop with the Fields Medal; earlier in 2026, she was also awarded the New Horizons in Mathematics Prize by the Breakthrough Prize Foundation for her extraordinary contributions in the fields of harmonic analysis and partial differential equations. These honors come at a time when NYU is intensifying its science and technology initiatives, which include investing in state-of-the-art computational resources and expanding faculty expertise.
The implications of Wang’s discoveries span far beyond pure mathematics—her findings in the Kakeya conjecture have paved the way for advancements in harmonic analysis, number theory, and practical applications in areas such as computer science and cryptography. Fellow mathematician Terence Tao praised her work, asserting that it heralded a major breakthrough in the field.
In a world where mathematics is often perceived as abstract and esoteric, Professor Hong Wang's achievements exemplify the profound connections between mathematical theory and real-world applications. By overcoming challenging problems and engaging with complex concepts, she not only enriches the academic landscape but inspires future generations of mathematicians seeking to make their mark in the field. Wang's journey exemplifies how perseverance, collaboration, and rigorous inquiry can lead to remarkable achievements in mathematics and beyond.
As a Silver Professor of Mathematics at NYU's Courant Institute School of Mathematics, Computing, and Data Science, Wang was honored for her groundbreaking work that resolved a long-standing question in the fields of harmonic analysis and geometric measure theory—the Kakeya conjecture in three dimensions. This mathematical conundrum revolves around determining how small a set can be while still containing a unit-length needle in all directions. It was first proposed by Japanese mathematician Sōichi Kakeya in 1917, and the challenge posed by this problem has kept mathematicians engaged for over a century.
In 2025, Wang collaborated with Joshua Zahl from the Chern Institute of Mathematics at Nankai University to demonstrate that Kakeya sets, which correlate closely with the Kakeya needle sets, cannot be 'too small.' While these sets can theoretically have zero volume in three-dimensional space, they must still possess three-dimensional characteristics. Their work represented a groundbreaking shift in understanding the intricate relationships within geometric measure theory.
Reflecting on her award, Professor Wang remarked, "Moments like this never belong to just one person. They are the culmination of years of chance encounters and unexpected questions that steer you in the right direction. I have been so lucky to work alongside brilliant colleagues at every stage of my career, and this honor is theirs as much as it is mine." Her humility and appreciation for collaboration underscore the support she has received throughout her illustrious career.
NYU President Linda G. Mills expressed immense pride in Professor Wang's achievements, stating, "The world is recognizing what her NYU colleagues and students have known for years—she is one of the most remarkable minds in mathematics today. Resolving this century-old conjecture has opened new pathways of thought and inquiry that will resonate for decades to come."
At just 35 years of age, Wang is the first NYU faculty member to receive this coveted honor and stands as one of only three women to ever win the Fields Medal. This recognition further elevates the reputation of the Courant Institute of Mathematics—an institute that is at the forefront of mathematical research and education.
Wang’s accolades don’t stop with the Fields Medal; earlier in 2026, she was also awarded the New Horizons in Mathematics Prize by the Breakthrough Prize Foundation for her extraordinary contributions in the fields of harmonic analysis and partial differential equations. These honors come at a time when NYU is intensifying its science and technology initiatives, which include investing in state-of-the-art computational resources and expanding faculty expertise.
The implications of Wang’s discoveries span far beyond pure mathematics—her findings in the Kakeya conjecture have paved the way for advancements in harmonic analysis, number theory, and practical applications in areas such as computer science and cryptography. Fellow mathematician Terence Tao praised her work, asserting that it heralded a major breakthrough in the field.
In a world where mathematics is often perceived as abstract and esoteric, Professor Hong Wang's achievements exemplify the profound connections between mathematical theory and real-world applications. By overcoming challenging problems and engaging with complex concepts, she not only enriches the academic landscape but inspires future generations of mathematicians seeking to make their mark in the field. Wang's journey exemplifies how perseverance, collaboration, and rigorous inquiry can lead to remarkable achievements in mathematics and beyond.
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