During the International Congress of Mathematicians in Philadelphia, Fields Medal winner Wang Hong delivered a packed academic lecture on the restriction of orthogonal projections and the centuries-old Kakeya conjecture. Her doctoral advisor, Larry Guth, stood outside the lecture hall window with a hole in his backpack after being locked out of the full room.
Larry Guth Locked Out of Packed Philadelphia Lecture Hall
An ordinary academic lecture transformed into a viral moment at the International Congress of Mathematicians in Philadelphia, where Fields Medal recipient Wang Hong presented her research inside a packed auditorium. Standing just outside the window was her doctoral advisor, Larry Guth, wearing a backpack with a visible hole and quietly watching the proceedings from the outside.
The photograph quickly spread across online networks, capturing a moment of academic mentorship. According to the photographer who shared the image with media outlets, the session reached full capacity because seating operated on a first-come, first-served basis according to the source.
Observers noted that other talks at the gathering rarely hit maximum capacity, but Wang’s presentation drew intense interest. Another contributing factor involved scheduling overlap: a separate lecture featuring another Fields Medal winner took place on the same Monday noon, leaving attendees less time to adjust their plans news.qq.com. That timing pushed crowds toward the smaller, shorter venue where Wang spoke.
Decade-Long Mentorship Roots and Breakthroughs in Harmonic Analysis
He is recognized as a leading figure in harmonic analysis, making breakthrough contributions across harmonic analysis, combinatorial geometry, and analytic number theory. His work has also shaped the careers of multiple prominent mathematicians under his guidance.

Focus on the Kakeya Conjecture and Restricted Orthogonal Projections
At the Philadelphia conference, Wang’s presentation focused on restricted orthogonal projections, aligning with her ongoing research into the centuries-old Kakeya conjecture. This central mathematical problem has motivated decades of investigation across multiple analytical fields.
Eleven years after their initial academic partnership, Wang and co-author Joshua Zahl successfully proved the three-dimensional Kakeya conjecture in 2025. That milestone followed earlier work by Guth himself, who achieved a crucial breakthrough on a special case of the same conjecture back in 2014.
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