2026 Fields Medals Awarded to Four of World’s Top Mathematicians

The medals and cash prizes are funded by a trust established by J.C.Fields at the University of Toronto. 

International Mathematical Union (IMU) Fields Medals 2026
https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2026 

 

2026 Fields Medals Awarded to Four of World’s Top Mathematicians
https://www.simonsfoundation.org/2026/07/23/2026-fields-medals-awarded-to-four-of-worlds-top-mathematicians/

Simons Foundation
https://www.youtube.com/@SimonsFoundation/videos
The Simons Foundation’s mission is to advance the frontiers of research in mathematics and the basic sciences.

"Co-founded in New York City by Jim and Marilyn Simons, the foundation exists to support basic — or discovery-driven — scientific research undertaken in the pursuit of understanding the phenomena of our world."

"The Simons Foundation’s support of science takes two forms: We support research by making grants to individual investigators and their projects through academic institutions, and, with the launch of the Flatiron Institute in 2016, we now conduct scientific research in-house, supporting teams of top computational scientists."

2026 Fields Medal: Hong Wang

• https://sites.google.com/view/hongwang/home 
• https://www.mathunion.org/fileadmin/documents/2026-07/Hong_Wang_Citations.pdf 
• https://www.youtube.com/watch?v=mTPyjR3qmTA

• Three minutes with Hong Wang (X2010), Fields Medal 2026
• https://www.youtube.com/watch?v=ZmUuHMClb_0

  
2026 Fields Medal: John Pardon

• https://www.math.stonybrook.edu/~jpardon/ 
• https://www.mathunion.org/fileadmin/documents/2026-07/John_Pardon_Citations.pdf 
• https://www.youtube.com/watch?v=E4KP07YL0Js

2026 Fields Medal: Yu Deng

• https://sites.google.com/uchicago.edu/yudeng/research 
• https://www.mathunion.org/fileadmin/documents/2026-07/Yu_Deng_Citations.pdf  
• https://www.youtube.com/watch?v=ERemSkQtoDk

  
2026 Fields Medal: Jacob Tsimerman

• https://www.math.utoronto.ca/~jacobt/ 
• https://www.mathunion.org/fileadmin/documents/2026-07/Jacob_Tsimerman_Citations.pdf 
• https://www.youtube.com/watch?v=TAh5tZ8QAzQ

  

MIT Professor Gilbert Strang - Introduction to Linear Algebra

These video lectures of Professor Gilbert Strang teaching 18.06 were recorded live in the Fall of 1999
https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/video_galleries/video-lectures/

Introduction to Linear Algebra (6th Edition, 2023)
https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-Strang/dp/1733146679

"Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners."

 

[image source: Amazon.com]

 

Wolfram Demonstrations Project

 

https://demonstrations.wolfram.com/

 2024-11-21 Thu:

• "13,000+ Interactive Wolfram Notebooks for education, research, recreation and more" 

Teens surprise math world with Pythagorean Theorem trigonometry proof

 

 

 

 

2024-03-31 Sunday - Interesting Math Books

 

All the Math You Missed: (But Need to Know for Graduate School) 2nd Edition 

"Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly."

(image source: Amazon.com)

 

Mathematics for Machine Learning (2020) 

https://www.amazon.com/Mathematics-Machine-Learning-Peter-Deisenroth/dp/110845514X/

https://mml-book.github.io/book/mml-book.pdf
Companion webpage to the book "Mathematics for Machine Learning". Copyright 2020 by Marc Peter Deisenroth, A. Aldo Faisal, and Cheng Soon Ong. Published by Cambridge University Press.

"The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site."

(image source: Amazon.com)

 

 

 

 

 

 

Statistical Inference A Work in Progress (~2019)

Statistical Inference A Work in Progress (~2019)
Ronald Christensen
Department of Mathematics and Statistics, The University of New Mexico
https://stat.unm.edu/~fletcher/INFER.pdf

Book: The Simpsons and Their Mathematical Secret

[image source: Amazon.com]

 

https://www.amazon.com/Simpsons-Their-Mathematical-Secrets/dp/1620402785

Simon Singh, author of the bestsellers Fermat's Enigma, The Code Book, and Big Bang, offers fascinating new insights into the celebrated television series The Simpsons: That the show drip-feeds morsels of number theory into the minds of its viewers―indeed, that there are so many mathematical references in the show, and in its sister program, Futurama, that they could form the basis of an entire university course.

Recounting memorable episodes from "Bart the Genius" to "Homer3," Singh brings alive intriguing and meaningful mathematical concepts―ranging from the mathematics of pi and the paradox of infinity to the origin of numbers and the most profound outstanding problems that haunt today's generation of mathematicians. In the process, he illuminates key moments in the history of mathematics, and introduces us to The Simpsons' brilliant writing team―the likes of David X. Cohen, Al Jean, Jeff Westbrook, and Stewart Burns―all of whom have various advanced degrees in mathematics, physics, and other sciences.

Based on interviews with the writers of The Simpsons and replete with images from the shows, facsimiles of scripts, paintings and drawings, and other imagery, The Simpsons and Their Mathematical Secrets will give anyone who reads it an entirely new insight into the most successful show in television history.

Kasper Müller

https://www.linkedin.com/in/kasper-m%C3%BCller-96ba95169/

https://kaspermuller.medium.com/

• Editor, Cantor's Paradise 
• Senior Consultant, Data and Analytics, FS, Technology Consulting, EY
  

The Beauty and Power of Discrete Calculus
https://www.cantorsparadise.com/the-beauty-and-power-of-discrete-calculus-87931daa074

 

nⁿ+(n+1)ⁿ Primes

https://www.linkedin.com/feed/update/urn%3Ali%3Aactivity%3A6968197862727790593/

"The only known primes of shape nⁿ+(n+1)ⁿ are 3, 13 and 881."

Google Cloud Calculates Pi To 100 Trillion Digits

Google Cloud Calculates Pi To 100 Trillion Digits

• https://science.slashdot.org/story/22/06/09/0128234/google-cloud-calculates-pi-to-100-trillion-digits
• https://www.engadget.com/google-cloud-pi-100-trillion-digits-174908346.html
• https://blog.google/products/google-cloud/new-digit-pi-2022/

"Google Cloud developer advocate Emma Haruka Iwao and her colleagues say they've calculated Pi to 100 trillion digital decimal places." 

"Iwao and her team previously set the record in 2019 when they carried out a calculation to an accuracy of 31.4 trillion digits." 

"In 2019, the calculation (which figured out a third as many digits as the most recent attempt) took 121 days. This time around, the calculation ran for 157 days, 23 hours, 31 minutes and 7.651 seconds, meaning the computers were running more than twice as quickly despite Iwao using "the same tools and techniques." Around 82,000 terabytes of data were processed overall. Iwao also notes that reading all 100 trillion digits out loud at a rate of one per second would take more than 3.1 million years. And in case you're wondering, the 100-trillionth decimal place of Pi is 0."

Three Highly Entertaining Math Books

Innumeracy
Mathematical Illiteracy and Its Consequences
By John Allen Paulos


Impossible?
Surprising Solutions to Counterintuitive Conundrums
By Julian Havil


The JOY of Mathematics
Marvels, Novelties, and Neglected Gems That Are Rarely Taught in Math Class
By Alfred S. Posamentier, et al

 

International Prize in Statistics - awarded to Nan Laird Professor of Biostatistics (Emerita) at Harvard T.H. Chan School of Public Health.

International Prize in Statistics( Some people call it Nobel prize of Statistics) has been awarded to US biostatistician Nan Laird Professor of Biostatistics (Emerita) at Harvard T.H. Chan School of Public Health.

https://www.linkedin.com/feed/update/urn:li:activity:6854754057886806016/

With this ,Nan Laird became First Woman To Receive the International Prize in Statistics

She has been awarded by this prize because of her groundbreaking work that made possible the analysis of complex longitudinal data.

Longitudinal data stands for data that is collected sequentially from the same respondents over time (For example : Data collected by observing symptoms of a group of patients for long time period)

Her work , which has come up in 1982, has been a great help to solving problem with random effect in longitudinal data coming from various fields such as Medical, Clinical Trials, Psychology ,Oncology etc.

Conversations with Jim Ware and Nan Laird - Longitudinal Studies


 

Mathematical Ambiguity

This blog post is a placeholder for organizing links to interesting resources related to mathematical ambiguity discussions:

• https://en.wikipedia.org/wiki/Order_of_operations 
• https://dlmf.nist.gov/
  
• https://people.math.harvard.edu/~knill/pedagogy/ambiguity/
• https://people.math.harvard.edu/~knill/pedagogy/ambiguity/ambiguity.pdf
  
• https://scienceblogs.com/evolutionblog/2013/03/15/the-horror-of-pemdas
  
• https://math.berkeley.edu/~gbergman/misc/numbers/ord_ops.html 
  

Pi calculated to 62.8 trillion decimal places

 Competence Centre for Data Analysis, Visualisation and Simulation (DAViS)

https://www.fhgr.ch/en/specialist-areas/applied-future-technologies/davis-centre/pi-challenge/#c16197

• "The challenge for this record attempt is taken up by project leader Thomas Keller and by the head of DAViS, Prof. Dr Heiko Rölke."
• "DAViS as part of the University of Applied Sciences of the Grisons is consolidating expertise in the area of high-performance computing (HPC) and HPC infrastructure for a mandate of the canton of Grisons."
•  2021-08-14: "This Saturday morning at 9:30 am, our High Performance Computer successfully completed its calculation to 62'831'853'071'750 decimal places, hence an additional 12.8 trillion decimal digits of Pi have been discovered."

Babylonians Used Applied Geometry 1,000 Years Before Pythagoras

 

• https://www.smithsonianmag.com/smart-news/ancient-tablet-shows-babylonians-used-pythagorean-geometry-1000-years-pythagoras-180978376/
• https://www.sciencealert.com/this-3-700-year-old-tablet-shows-the-oldest-known-example-of-applied-geometry 
  

How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.

•  How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.
• https://www.quantamagazine.org/how-many-numbers-exist-infinity-proof-moves-math-closer-to-an-answer-20210715/
• Martin’s Maximum++ implies Woodin’s axiom (∗) 
• https://annals.math.princeton.edu/2021/193-3/p03 
• https://en.wikipedia.org/wiki/Continuum_hypothesis
  

The Mathematics Handbook, compiled by Alexander Spartalis

"The Mathematics Handbook", v4.1, June 2nd, 2019. 

(formerly known as the "All In One Mathematics Cheat Sheet")

Alexander's web site for the book is here:  

• http://mathscheats.weebly.com/ 

You can find the full PDF here

• https://drive.google.com/file/d/1MM2Hu5qlptkg8dNLM9QibeXHErLz73Qy/view
• Now, 640 pages 

The Antikythera Mechanism

source: https://en.wikipedia.org/wiki/Antikythera_mechanism

• https://en.wikipedia.org/wiki/Antikythera_mechanism
• https://bigthink.com/robby-berman/an-ancient-device-too-advanced-to-be-real-gives-up-its-secrets-at-last

Octonions

Physicists puzzled by strange numbers that could explain reality
https://bigthink.com/surprising-science/physics-mystery-octonions

The Peculiar Math That Could Underlie the Laws of Nature

https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720/

 

Four Dimensional Maths: Things to See and Hear in the Fourth Dimension - with Matt Parker

Entertaining & Interesting...