The Fields Institute

📸 A week full of eureka moments! A big thank you to everyone who joined us for the 2026 Fields Medal Symposium featuring Hugo Duminil-Copin. Relive some of the memorable moments from last week in our photo gallery: fieldsinstitute.ca/2026/10/20/2...

🤖🔢 AI proved the Quasi-Riemann hypothesis. What happens now? Unlike other recent AI proofs, this one has been unpacked by human experts. The implications, one mathematician said, are “staggering.” Read more ⬇️

💻 Happy Ada Lovelace Day! Today, we’re celebrating the achievements of women in STEM, inspired by Ada Lovelace, widely recognized as the world’s first computer programmer. Learn more about Ada Lovelace and her contributions: www.youtube.com/watch?v=uBbV...

📣 Registration is open for our Coxeter Distinguished Lecture Series! As part of the Thematic Program on Optimal Transport in Natural Sciences and Statistics, Wilfrid Gangbo (UCLA) will give three introductory talks on newer frontiers in the field. Register: www.fields.utoronto.ca/activities/2...

🍂 The October issue of the Fields newsletter is here! Can math help us predict when it’s time to bring out the toque? This month, we explore optimal transport, plus the latest news, stories, and events from Fields. 📬 Read the latest: us15.campaign-archive.com?u=409ac47d10...

💡 Where do “Eureka!” moments come from? Join 2022 Fields Medallist Hugo Duminil-Copin on October 13 at Alliance Française Toronto for the Public Opening of the 2026 Fields Medal Symposium. Register now: www.fields.utoronto.ca/activities/2...

It’s not too late to register for the next session of Engaging with the Leiden Declaration. Session 2 runs tomorrow, Tuesday, October 6, from 1- 2 p.m. ET. We'll tackle recommendation Number 2: Support the needs of reviewing. Register today: www.fields.utoronto.ca/activities/2...

🍂 Earlier this week, we kicked off fall with a walking tour of UofT, led by our Head of Operations, Kirsten Vanstone, to explore the Math Department, discover some fascinating campus facts, and catch up over lunch at the food trucks. Thanks to everyone who joined us!

Last week, we were delighted to welcome Jennifer Holm, the 2026 recipient of the Margaret Sinclair Memorial Award, for her award lecture, “Supporting Future Mathematics Teachers: Why Mathematics Knowledge for Teaching Matters.” Congratulations again to Jennifer on this well-deserved honour! 🎉

💡 Join us for the final presentations from the Fields-RBC-IP Challenge. Student teams will present their work, and judges will decide which projects are most likely to become viable products or businesses. Register today: docs.google.com/forms/d/e/1F...

🥪 Mathematicians build a long-awaited graph sandwich. The proof of a decades-old conjecture has given researchers a new way to understand complex networks. Read more ⬇️ www.quantamagazine.org/mathematicia...

AI is rapidly changing mathematics, raising urgent questions about how we use it and its impact. Join Fields for Engaging with the Leiden Declaration, a five-session workshop exploring its recommendations as “open problems in practice.” Register today: www.fields.utoronto.ca/activities/2...

📣 Nominations for the 2027 CRM-Fields-PIMS Prize are open from now until November 1st! The premier Canadian award for research achievements in mathematics, the prize recognizes exceptional contributions with breadth, depth and international impact. Submit your nomination today: shorturl.at/u6Zhm

🌌 What is math’s mysterious Langlands program really about? Hidden correspondences hint at a deeper structure to the mathematical universe. Read more as Quanta Magazine columnist Natalie Wolchover unpacks one of those connections and asks mathematicians what they might mean. ⬇️

☕🍪 What do coffee, cookies, and mathematics have in common? Every day at 3 pm, the Institute undergoes a phase transition—from scattered mathematicians to one buzzing crowd! Our September newsletter explores percolation theory, while also serving up the latest news from Fields: shorturl.at/xS9lK

🧩 ‘Stunning’ percolation proof solves decades-old puzzle about phase transitions. Mathematicians found that a broad class of networks will abruptly shift behaviour past a critical point. Read more ⬇️

🤖🧮 What happens when AI takes on mathematical problems that have challenged researchers for decades? Breaking Points chats with Daniel Litt, Assistant Professor of Mathematics at the UofT, to explore recent breakthroughs in AI-assisted mathematics and what they could mean for future discovery.

Still feeling Fields Medal fever? You’re in luck! There are a few remaining in-person spots for the 2026 Fields Medal Symposium honouring Hugo Duminil-Copin. Don’t miss out on the chance to experience this special event live; register today: www.fields.utoronto.ca/activities/2...

💡 Graduate student proves a quantum uncertainty principle for fractals. The math, which combines chaos, quantum theory, and infinitely complex fractal structures, has been called a “foundational result.” Read more ⬇️

This week, we were pleased to welcome students from Tongji University to the Fields Institute as part of their participation in Rotman’s Math-Driven AI and Quantitative Finance program. Thank you for visiting, and we hope you enjoyed your time at Fields!

📬 The August newsletter is here! This month, we’re celebrating Jacob Tsimerman becoming the first Canada-based Fields Medallist – a historic moment for Canadian mathematics. Read all about it and more in the August newsletter: us15.campaign-archive.com?u=409ac47d10...

🏞️ How can fractals help us understand erosion and the evolution of landscapes? Former Fields Postdoctoral Fellow Therese Basa Landry is using mathematics to improve our understanding of landscape change, landslides, and debris flows. Read the full story from UC Santa Barbara:

🥇 Sometimes being first means seeing the end before anyone else. Determination and effort propelled Jacob Tsimerman to the top of the math world. But now that he’s won a Fields Medal, he worries that the field is in jeopardy. Read more ⬇️

☀️📚 From research meetings to Niagara Falls, the Toronto Islands, shared dinners, and more, it’s been a memorable summer so far for our FUSRP students. We’re thrilled to host such a talented group of young researchers and to see the friendships that have grown alongside their mathematical work!

🏅 Meet the 2026 Fields and Abacus Medalists! Every four years, the math world’s preeminent awards are given to the finest minds of a generation. The young winners — all under 40 on the first day of the year — have reshaped mathematics and theoretical computer science. Read their stories ⬇️

🎉 Huge congratulations to Jacob Tsimerman on being awarded the 2026 Fields Medal! A professor at the U of T and long-time member of the Fields community, Jacob's groundbreaking work in number theory has earned international recognition. Read more: shorturl.at/mzCiS #FieldsMedal

‘Nobel Prize of mathematics’: #UofT mathematician Jacob Tsimerman awarded prestigious Fields Medal 🏅 uoft.me/jacob

🏅 You're invited! Join us for a live watch party of the International Congress of Mathematicians 2026 Fields Medal Opening Ceremony & Prize Winner Press Conference. www.fields.utoronto.ca/activities/2... 📅 Thursday, July 23 ⏰ 9:00 a.m. – 1:30 p.m. 📍 BA1180, Bahen Centre, 40 St. George St.

🧠📖 The Summer 2026 edition of Fields Notes is here! Explore how mathematics is helping unlock the mysteries of the brain through articles adapted from our recent Mathematics of Neuroscience Thematic Program. Read the latest issue today: www.fields.utoronto.ca/sites/defaul...

Colaboramos con @fieldsinstitute.bsky.social , el gran instituto mundial de las matemáticas. @utoronto.ca #UofT We are collaborating with @fieldsinstitute.bsky.social , the world’s leading mathematics institute. @utoronto.ca #UofT

⚽️🐠 What do goldfish and other animal "oracles" have in common? Their predictions have captivated sports fans—but is there any math behind them? Our July newsletter explores the world of animal predictions, plus the latest news, events, and opportunities from Fields. mailchi.mp/08fa10d3703f...

✍️ From chalkboard ideas to new beginnings. After six months as a Visiting Scholar at Fields, Nathaniel Sagman is heading to a tenure-track position at UNC Chapel Hill. Thank you for being part of our community; we wish you all the best in this exciting next chapter!

🌈💻 As Pride Month continues, we're reflecting on the legacy of Alan Turing—pioneering mathematician, codebreaker, and widely recognized as the father of computer science. Turing's story is a reminder of the resilience, contributions, and lasting impact of LGBTQ2S+ individuals. Learn more ⬇️

🤖📢 How Terry Tao became an evangelist for AI in math. With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with confidence that every piece is correct. For some, this heralds a new area in mathematical research. Read more ⬇️

Wampum belts are more than art; they also carry mathematical meaning. Through patterns, symmetry, and spatial reasoning, they encode history, treaties, and Indigenous knowledge. Check out this video from Trent University’s Knowledge Holders Series to learn more. #IndigenousHistoryMonth

🚀 The Fields-RBC-IP Challenge has officially kicked off! Over the next 12 weeks, student teams will explore how patented technologies can be transformed into viable products and businesses. We can’t wait to see the innovation and entrepreneurial thinking this year's cohort brings!

⚽📈 As the beautiful game kicks off today, and we're wondering, can math help predict the next World Cup champion? A mathematician who correctly predicted the last three World Cup winners has made his 2026 pick using statistical, economic, and demographic data. Read more:

Whether it's research, collaboration, or community-building, there's always something happening at Fields! We're grateful to everyone who helps make the Institute such a dynamic place for mathematical discovery. 📸 Check out a few recent snaps from life lately at Fields.

☕️ “A mathematician is a machine for turning coffee into theorems,” said Alfréd Rényi. But as of last month, it seems a different liquid may be fuelling mathematical discovery. Read all about it (and more) in the latest Fields Institute newsletter: us15.campaign-archive.com?u=409ac47d10...

🎉 FUSRP 2026 is officially underway at Fields! Over the coming weeks, these talented undergraduate researchers will explore a wide range of mathematical topics, work closely with mentors, and become part of our research community. We’re looking forward to following their journey this summer!

🌈 Happy Pride Month! This month, we’re celebrating the contributions of 2SLGBTQIA+ mathematicians whose ideas, research, and leadership have helped shape the field. Mathematics is strengthened by diverse perspectives, and we are proud to support an inclusive community where everyone can thrive.

✨ Happy Indigenous History Month! Indigenous math isn't just about numbers and equations, it involves culture, spirituality and more. Professor Edward Doolittle, a Mohawk from Six Nations, sees math as something embedded in Creation itself. Take a listen to his talk at the University of Waterloo:

🌌✨ Today is the final day of the 2026 Coxeter Lecture Series with Mihalis Dafermos, which explored the mathematics of black holes. Thank you to Professor Dafermos for sharing his insights, and to everyone who came out and made the lectures such a success!

🧱 Two researchers are rebuilding mathematics from the ground up. By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far bigger program to understand why numbers behave the way they do. Read more ⬇️

🌌✨ Registration is open for the 2026 Coxeter Lecture Series at the Fields Institute, featuring speaker Mihalis Dafermos! Register now: www.fields.utoronto.ca/activities/2...

🚀 The May newsletter is here, and we are blasting off with stories from space! From the awe of Artemis II to breakthroughs in solving the Asteroid Routing Problem, this month’s newsletter explores scientific ambition that reminds us what’s possible. ⬇️ us15.campaign-archive.com?u=409ac47d10...

A huge thank you to Professor Stephanie Dick for giving this year’s Keyfitz Lecture in Mathematics and the Social Sciences! Her thought-provoking lecture, Mathematical Universalism and its Discontents, made the room come alive with curiosity and conversation. 📸Swipe to see some snaps from the day!

🎉Happy International Women in Mathematics Day! Today, we are celebrating the brilliant women whose ideas, discoveries, and research continue to shape the world of mathematics. From foundational theories to breakthroughs in cryptography, data science, topology, and beyond, their impact is everywhere.

✍️✨ A little appreciation post for beautiful penmanship. Amid a busy week of conference sessions, one of our visitors took to the chalkboard, and the result was so satisfying we had to snap a pic!

🏆 The CRM-Fields-PIMS Prize Lecture Series returns with 2026 winner Robert McCann! Join us on June 10th for his talk: “The monopolist's free boundary problem in the plane: an excursion into the economic value of private information.” Register today: www.fields.utoronto.ca/activities/2...