We started working on the results in “Segre surfaces and geometry of the Painlevé equations” with Marta Mazzocco and Pieter Roffelsen 4 years ago. The published version has finally appeared! 👉🏼 link.springer.com/article/10.1...
link.springer.com
Nalini Joshi
@monsoon0.bsky.social
Mathematician, wife, mother, addicted to math
We started working on the results in “Segre surfaces and geometry of the Painlevé equations” with Marta Mazzocco and Pieter Roffelsen 4 years ago. The published version has finally appeared! 👉🏼 link.springer.com/article/10.1...
link.springer.com
But “solving hard problems” has only ever been a proximate goal because it happened to align fairly well with “bring clarity and understanding” for HUMAN mathematicians. AI has broken this correlation: goals set for human minds aren't relevant to them. •13/16
But OF COURSE we should move the goalposts, because the goals were set for human mathematicians, as a kind of proxy for what we actually care about, which isn't solving conjectures (even if we tricked ourselves into thinking so). •28/38
THE PURPOSE OF MATHEMATICS IS NOT TO PROVE THINGS OR TO SOLVE PROBLEMS: it is to gain a better understanding of the mathematical universe and how it works (either per se → pure math, or to use this understanding elsewhere → applied math). •3/38
A heartfelt thanks to the organisers, volunteers and staff for an incredible #ICM2026 in beautiful Philadelphia. Such a pleasure to connect with students, mathematicians, colleagues and other Societies from across the world - it's an absolute privilege to be part of a fantastic community!
Can't be in Philadelphia for the world's largest math conference? Watch the #ICM2026 closing ceremony livestream now on the Simons Foundation YouTube channel: https://bit.ly/4pv7iwd #math
International Congress of Mathematicians: Closing Ceremony
Watch as the world's most prestigious math conference comes to a close.
youtube.com
Today is the last day of #ICM2026 . It is the fourth ICM I have attended in person (a fifth one I attended was online). Like the others, my mind was blown away by some of the talks I heard. ICMs have that effect on me, which is why I keep coming back.
The last bit really resonated with me. The biggest joy for me is in discovering connections between different problems and translating techniques between them
There’s a lovely video of Hong Wang from IHES, which is much happier than the one I saw at the #ICM2026 Fields medallists ceremony 📽️ youtu.be/3s35qhi_inU?...
There’s a lovely video of Hong Wang from IHES, which is much happier than the one I saw at the #ICM2026 Fields medallists ceremony 📽️ youtu.be/3s35qhi_inU?...
Hong Wang, professeure permanente en mathématiques à l'IHES
YouTube video by Institut des Hautes Etudes Scientifiques (IHES)
youtu.be
“Ambition of the highest order and play can live in the same person. Which leaves the question I really care about: not why these four still play, but why so many people stop.” The four here refer to the 2026 Fields medallists: Yu Deng, John Pardon, Jacob Tsimerman, and Hong Wang #ICM2026
Hot off the heels of my last blog post, I read the coverage of last week's Fields Medallists. As usual, I wasn't looking for what they had done, but how they had done it. Read here: https://amiealbrecht.com/2026/07/28/play-is-not-the-opposite-of-ambition/
Jacob Tsimerman takes a part of his Fields medal lecture to talk about AI and the future of mathematics #ICM2026 He expresses grief for the way we do mathematics now, but believes mathematicians have an important role to play.
Geordie Williamson is giving a public lecture on “AI and humanity’s longest conversation”. This is an insightful slide on the dichotomy he expresses #ICM2026
For the first time in my life I have a lable that says “VIP”. Can you guess how many times I’ve been asked to move on, because a certain area is reserved for VIPs? I guess I just don’t fit the pattern 🤷🏽♀️
At the panel on “AI for Mathematics”, the top rated question from the audience is “Do you expect fewer young people to pursue mathematics in the coming years? What advice would you give to students considering whether to pursue PhDs in math?” (from Joshua Wang) #ICM2026
I missed @teorth.bsky.social ‘s public lecture on “Mathematics in the Age of AI” last night due to an obligation for the IMU. But I’m looking forward to watching the video: Terry’s posted his thoughtprovoking slides already at teorth.github.io/tao-web/slid... #ICM2026
teorth.github.io
The press conference with the medal winners at #ICM2026 apparently contained an announcement by the Fields medalist Jacob Tsimerman that he will be joining OpenAI…
This is #mathemalchemy with its inventor Ingrid Daubechies #ICM2026
I was guided through it by Ingrid Daubechies! It is wonderful!
I don't want to work for an AI company, but I'm extremely interested in what's going on, because we're seeing a battle for the future of mathematics. Another data point: Kevin Buzzard says any PhD student who is not paying $200 per month for an AI subscription is crazy. (Are they all so rich? 😕)
Human mathematicians are being outcounterexampled
It’s been an interesting few weeks for counterexamples. This post is basically my perspective of what has been going on in the world of formalization, AI tools and, in particular, counterexam…
xenaproject.wordpress.com
We welcome the news that Glasgow has been selected to host the International Congress of Mathematicians (ICM) 2030, following a vote of the International Mathematical Union (IMU) General Assembly held ahead of the ICM 2026 in Philadelphia. Full statement ➡️ www.lms.ac.uk/news/glasgow...
Congratulations also to this year’s Fields Medals winners: Yu Deng, John Pardon, Jacob Tsimerman and Hong Wang The Fields Medal is awarded to recognise outstanding mathematical achievement for existing work and for the promise of future achievement. ➡️ www.lms.ac.uk/news/fields-...
Congratulations to Graeme Segal FRS, who was awarded the Chern Medal 2026 at the opening ceremony of ICMS 2026. Graeme served as LMS President from 2011-13. Read the full citation ➡️ www.lms.ac.uk/news/graeme-...
Hong Wang was among four people—and the 3rd woman in the history of the prize—to be awarded the Fields Medal at #ICM2026 this morning. Congratulations to all! Learn more about the work of Hong Wang and the other awardees here: 🔗 ow.ly/TBG950Zs4p0. #FieldsMedal #Mathematics #WomenInMath #AWMMath
Hong Wang is the third woman to receive the Fields Medal (after Maryna Viazovska and Maryam Mirzakhani), out of 68 total medals awarded.
2026 Fields Medalists: Yu Deng (University of Chicago) John Pardon (State University of New York Stony Brook) Jacob Tsimerman (University of Toronto) Hong Wang (New York University and IHES) www.mathunion.org/imu-awards/f...
Fields Medals 2026 | International Mathematical Union (IMU)
For his work in partial differential equations, including the rigorous derivation of the Boltzmann equation from hard-sphere dynamics for rarefied gases, the derivation of wave kinetic equations from nonlinear dispersive systems, and probabilistic approaches to nonlinear Schrodinger dynamics.
mathunion.org
Huge congratulations to Shayan Oveis Gharan for receiving the 2026 Abacus Medal (formerly Nevanlinna Prize). The first given to an Iranian! mathunion.org/imu-awards/i...
IMU Abacus Medal - Prestigious Award in Mathematical Information Sciences
The IMU Abacus Medal honors outstanding contributions in mathematical aspects of information sciences, awarded every 4 years at the ICM.
mathunion.org
Congratulations to Hong Wang on winning the Fields Medal! ilaba.wordpress.com/2026/07/23/c...
Congratulations to Hong Wang!
Congratulations to Hong Wang on winning the Fields Medal!!Hong Wang received her PhD degree from MIT in 2019, was a postdoctoral fellow at the Institute for Advanced Study from 2019 to 2021, and an…
ilaba.wordpress.com
I love ❤️ the fact that the Leelavati Prize goes to Hannah Fry @fryrsquared.bsky.social #ICM2026
During today's #ICM2026 opening ceremonies, the IMU announced the 2026 Fields Medals recipients: Yu Deng, John Pardon, Jacob Tsimerman, and Hong Wang Read more: https://bit.ly/4psOJbU