When Hong Wang won the Fields Medal, everyone talked about the honor: her age, her journey, the history she had made.
But the most interesting question was barely discussed:
What did she actually solve?
It begins with a needle. Turn it until it has pointed in every possible direction. How little space can that movement occupy?
Almost none, strangely. And yet, that tiny set may still carry the full complexity of three-dimensional space.
This is the Kakeya conjecture. It sounds like a puzzle, but it resisted mathematicians for more than a century and sits at the heart of how mathematics understands waves and their concentration—the same world of ideas behind MRI reconstruction, image compression, sound and quantum physics.
In 2025, Hong Wang and Joshua Zahl finally solved the three-dimensional case.
This video starts with that simple needle and slowly reveals the mathematics behind the medal.
We celebrated the person. This is a chance to understand the work.
Otro periodista con carencias matemáticas que avergonzarían a un niño de 10 años. @Rodrigo_Villar_ no percibe la diferencia entre "mayor o igual" (lo que dijo AEMET) e "igual" (lo que él entiende). Por lo visto, se le atragantó 1° de primaria.
Variational optimization of projected entangled-pair states on the triangular lattice.
https://t.co/555dOwdsPj
The “meta-message” is that the use of sophisticated tools such as #automaticdifferentiation, and the co-design of the ansatz class and the physical system at hand—here related to the underlying lattice—can significantly improve #tensornetwork methods for capturing interacting and strongly correlated quantum systems.
Warm thanks to Jan Naumann and Philipp Schmoll for the fruitful collaboration.
Estoy maravillado con un paper de hace 6 años que estudia el bias negativo de los tempos a los que TODOS los directores del mundo interpretan las obras de Beethoven vs los que anotaba el mismo Beethoven en las partituras
Parece que el loko interpretó mal como usar los metronomos de la epoca (objetos hermosos si los hay), y usaba como indicador la parte de abajo de la masa por la forma de flechita que tenia
Puede parecer gracioso o extraño, pero no lo es tanto pensando en que era alta tecnologia para su epoca (de hecho hasta la octava sinfonia las compuso sin metronomo porque no existian)
Cuestion que en el paper modelan fallos fisicos de metronomos para lograr el bias y llegan a esa conclusion que termina de cerrar por una anotacion en el manuscrito de la novena sinfonia donde Beethoven escribe acerca de la confusion de usar uno u otro valor
O sea que pasaron 200 años con los mejores directores de orquesta e interpretes del mundo, rompiendose la cabeza de por que mierda Beethoven queria que se lo interprete a ritmos tan altos versus lo que todos, absolutamente todos, sentian que la musica pedia y que debia interpretarse mas lento.. y era simplemente porq el loko interpreto mal la forma de usar el metronomo
O físico Juan Ignacio Cirac é pioneiro no eido das tecnoloxías cuánticas. Actualmente dirixe o Instituto Max Planck de Óptica Cuántica, en Alemaña. Falamos con el por mor da súa visita á Coruña.
https://t.co/T5vWNSCS5p
We are hiring a postdoctoral researcher and a PhD student to join a strong research team to work on #quantumerrorcorrection for cold atomic platforms, funded by the @bmftr_bund. The topics range from abstract considerations to hardware-tailored approaches.
We can provide a uniquely stimulating and fun research environment driven by discussion, interaction, and collaboration, with substantial blackboard time. We are a highly active research group with a culture of open discussion, creative interdisciplinary thought and substantial international collaborations. The successes of past group members possibly speak for themselves when one has a career planning in mind.
The positions are advertised within the newly formed international consortium #PASQUOPS bringing together leaders in the field, focused on achieving programmable atomic large-scale logical quantum operations. (Associated) partners are the
• @FU_Berlin,
• @RiverLane_io in the UK,
• @pasqal_quantum in France,
• @covestro,
• @HeiQuSim,
• @MeetQuantagonia.
https://t.co/xbg07Ly3ko
Applications are strongly and warmly invited. All job related questions and inquiries should be sent to [email protected] and [email protected].
Today we're celebrating the graduations of our newest @uclmaps alumni 🥳 Congratulations and welcome to the UCL alumni community! 🎓
Explore the support we offer to recent graduates: https://t.co/GwZeey90x6
Not being able to do basic math should be considered as problematic as illiteracy. How can you expect representatives to make correct decisions if they can’t verify such simple calculations?
Terence Tao:
"This is not a routine policy shift - it is a deliberate dismantling of the institutions, funding, and freedoms that have sustained American science for generations."
La peor catástrofe del fuego desola Ourense: «Es insufrible, jamás pasó algo así». 40.000 ha arrasadas, desalojos, casas destruidas, cortes de luz, teléfono, agua, A-52 y tren. Miedo y caos en la emergencia por incendios más grave de la historia de Galicia
https://t.co/QtoJzmO1cM