The Fields Institute

☀️🍉 With summer in full swing and our Focus Program on Algebraic Topology wrapping up, we celebrated with some classic summertime treats—watermelon, popsicles, and lemonade!

It was a great chance for participants to relax, mingle, and catch up with colleagues as the Program came to a close.

Mathematicians Just Cracked a Legendary Problem—Here’s Why It Matters The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore

💡 A major leap for mathematics!

The Langlands program has inspired and befuddled mathematicians for more than 50 years. Now, a major advance has opened up new worlds for them to explore.

YouTube video by Simons Foundation Abacus Medal: Mark Braverman

Abacus Medal recipient Mark Braverman has made many breakthroughs in his field. Watch as he explains his work with the help of his two small assistants: www.youtube.com/watch?v=fPSv...

Register today for the 2025 Fields Medal Symposium, where we will be celebrating his work: shorturl.at/q4NbR

Trade Zone: T Avoiding World War of Trade Canada needs more than a ‘Plan A’ in a fragmented global trade order

🌐 How can Canada help steer global trade away from crisis?

Jordan Brennan, Head of Thought Leadership at RBC, recently joined us for our Fields-CFI Roundtable on Trade War Fallout and shares their thoughts on how Canada can play a key role in avoiding a “world war of trade”.

🧠💡Meet the scientist who developed a new way to understand communication. Mark Braverman was awarded the 2022 IMU Abacus Medal for his groundbreaking work: shorturl.at/bYJGG

Register today for the 2025 Fields Medal Symposium, where we will be celebrating his work: shorturl.at/q4NbR

📣 Exciting news! You can now register for the Shared Graduate Course, II1 Factors, taught by Professor Jesse Peterson of the University of Waterloo. Space is limited, register today: www.fields.utoronto.ca/activities/2...

⛴️ ☀️ The Toronto Fields Undergraduate Summer Research Program cohort recently set sail for a day of sunshine and team bonding on the Toronto Islands! Between the festivals, attractions, and hundreds of amazing restaurants here in Toronto, we can guarantee your FURSP season will be one to remember.

🏅 The Fields Medal Symposium returns Sept 23–26!

This year, we honour 2022 Abacus Medalist Mark Braverman for his groundbreaking work in theoretical computer science.

Join us for this special celebration ➤ www.fields.utoronto.ca/activities/2...

🔢 ✅ Registration for Galois Cohomology with Applications to Number Theory, taught by Professor Kumar Murty of the University of Toronto, is available now. Check out all the details and register today! www.fields.utoronto.ca/activities/2...

Sajeev John and Jacob Tsimerman elected fellows of U.K.'s Royal Society Sajeev John and Jacob Tsimerman – University Professor of physics and professor of mathematics, respectively, in the Faculty of Arts & Science – have been elected to the Fellowship of the Royal Societ...

🎉 A big congratulations to Professors Sajeev John and Jacob Tsimerman, who have been elected Fellows of the UK's prestigious Royal Society — one of the highest honours in science.

Read more about their work and achievements here:

🌿 Our University of Ottawa FURSP cohort recently took a well-deserved break to explore the Experimental Farm and the Arboretum! Just one of the many perks of spending a season with FUSRP.

Curious about applying next year? Learn more about the program here: www.fields.utoronto.ca/activities/2...

Craig Kaplan named 2025 Fields Institute Fellow | Cheriton School of Computer Science | University of Waterloo A news article about Professor Craig S. Kaplan, who has been named a 2025 Fellow of the Fields Institute for Research in Mathematical Sciences

🎉 Check out this spotlight from the University of Waterloo on one of our new Fields Institute Fellows, Craig Kaplan! Known for bridging computer science, mathematics, and art, Kaplan is recognized for his research and outreach that brings math to life in creative ways.

Read more about his work:

📣 Our Shared Graduate Course Program returns this fall! Be sure to check out our exciting course offerings, including Geometry of Quantum Mechanics with Professor Marco Gualtieri.

Register today to secure your spot and check out our other course offerings: www.fields.utoronto.ca/activities/2...

🍎 Our Western University FUSRP Class of 2025 is well underway in London, ON! Students from around the world arrived in June for a summer of advanced mathematics, lifelong friendships and city exploration. It’s everyone’s favourite time of year!

Congratulations to the 2025 Fields Institute Fellows Created in 2002 to mark the Institute's 10th Anniversary, the designation of Fields Institute Fellow is awarded annually to a select group of people in recognition of their outstanding contributions.

🎉 Celebrate with us as we recognize the 2025 Fields Institute Fellows! These six outstanding mathematicians have been honoured for their contributions to both the Fields Institute and the broader Canadian mathematical community.

Meet this year’s Fellows: shorturl.at/Gcx3p

Patrick Ingram joins Fields as Deputy Director The newest number theorist among our ranks makes good on a decade-old affirmation.

We’re excited to announce Professor Patrick Ingram as the new Deputy Director of the Fields Institute! Join us in celebrating his appointment and learn more about his new role: fieldsinstitute.ca/2025/07/02/p...

Alan Turing | Biography, Facts, Computer, Machine, Education, & Death | Britannica Alan Turing was a British mathematician and logician, a major contributor to mathematics, cryptanalysis, computer science, and artificial intelligence. He invented the universal Turing machine, an abs...

🌈 💻 As Pride Month winds down, we’re remembering the father of computer science, Alan Turing, who was key in shortening World War II by cracking the Enigma code. Turing's story is a reminder of resilience and the enduring impact of LGBTQ2S+ individuals on our world.

Learn more about his legacy:

YouTube video by Trent University :: School of Education The Knowledge Holders Series: Maurice Switzer - Wampum Belts

⚫️⚪️🔴🟡 Wampum belts are more than art—they carry deep mathematical meaning.

Through patterns, symmetry, and spatial reasoning, they encode history, treaties, and Indigenous knowledge. Check out this video from Trent University, which explores how wampum belts represent continuity:

Epic Effort to Ground Physics in Math Opens Up the Secrets of Time | Quanta Magazine By mathematically proving how individual molecules create the complex motion of fluids, three mathematicians have illuminated why time can’t flow in reverse.

🌊 By mathematically proving how individual molecules create the complex motion of fluids, three mathematicians have illuminated why time can’t flow in reverse.

Check out this Quanta article on a major step toward solving Hilbert’s Sixth Problem:

🍎 Welcome FUSRP Class of 2025! This week, we welcomed our undergraduates who arrived in Toronto for a summer of exciting math projects supervised by industry and academic mentors.

Interested in joining the Class of 2026? Learn more about how to apply for next year's cohort: shorturl.at/QYLzv

YouTube video by UWinnipeg What is Indigenous Mathematics? - Dr. Edward Doolittle

Celebrate Indigenous History Month by exploring Indigenous ways of knowing in mathematics! Check out this talk from Dr. Edward Doolittle (Kanyen’kehake, Flint Nation, Mohawk) who shares what Indigenous math is and how it shapes our understanding of the world: www.youtube.com/watch?v=wZ-c...

🧮 Commutative algebra is trending at Fields!

SMS 2025: An Introduction to Recent Trends in Commutative Algebra is in full swing this week at the Institute. Participants are diving into the latest trends in commutative algebra, listening to lectures, and bringing collaborative energy!

🌈 📐This Pride Month, we’re celebrating the contributions of LGBTQ+ mathematicians who are breaking boundaries in both math and representation! Take a look as Queen Mary University of London highlights 6 inspirational figures whose work bridges research and community advocacy. shorturl.at/kMnzY

In crokinole country

This past weekend five-time world champ and Canadian math prof Justin Slater faced off again at the World Crokinole Championship in Tavistock, ON, hoping to take back the title.

Discover the charm and community behind Canada’s beloved board game: www.cbc.ca/newsinteract...

Bryan Bellefeuille shares how he includes Traditional Indigenous Mathematics in the Ontario Classroom | The Robertson Program | Ontario Institute for Studies in Education In our first-ever webinar, Educator Bryan Bellefeuille shared how he brings Traditional Indigenous Mathematics in to his Ontario Classroom.

Happy Indigenous History Month!

From architecture to airflow, Indigenous mathematics has significantly contributed to shaping our understanding of the world. Check out this talk from Bryan Bellefeuille, who shares how he brings traditional Indigenous mathematics into his Ontario classroom.

🏳️‍🌈 Happy Pride Month! 🏳️‍⚧️

We’re kicking off June with LG&TBQ2, a celebration of LGBTQ+ mathematicians in geometry, topology, and dynamics! This year’s event brings community members together for lectures, open discussions on LGBTQ+ experiences in math, panel discussions, and more. shorturl.at/cMfYo

🐝 Fields is buzzing this week! 222 College St. is packed for the Workshop on the Applications of Commutative Algebra. With breakout groups spread out across the building, the energy is high, and ideas are flowing!

Bookmark our calendar so you don’t miss the next workshop! → shorturl.at/T7ryE

From Messiaen to Radiohead: How great music uses prime numbers In his new book, "Blueprints," the mathematician Marcus du Sautoy reveals the hidden numbers in the things we find beautiful.

🎵 What do Messiaen and Radiohead have in common? More than just great music, they both tap into the beauty of prime numbers. From classical music to experimental rock, check out how mathematical patterns can help shape creativity.

⛴ Time for a Field(s) trip.

This week, staff, visitors, and friends of Fields enjoyed a relaxing day on the Toronto Islands! With the sun shining and the breeze just right, it was the perfect setting to relax, recharge, and soak up the beauty of the spring. Thanks to everyone who joined us!

🧮☀️ New summer plans just dropped!

A few funded spots are still available for the 3MC-PIMS-ICMS Summer School on Quantitative Molecular and Cellular Biology.

📍 University of Manitoba, June 16-27, 2025

Apply today! shorturl.at/hhLDZ