Sunday, December 28, 2025

"...learn kind of basic things in mathematics, in modeling, mathematics that can be connected with reality....although you should learn philosophy ...this is done by learning things that have a long shelf life"

"... if you were starting your AI career today, what skills and research directions would you focus on? ---  I get a lot this question a lot from young students or parents of future students. I think you should learn things that have a long shelf life and you should learn things that help you learn to learn because technology is you know evolving so quickly that you want kind of the ability to learn really quickly. "

After 12 years at Meta, Turing Award winner Yann LeCun is betting his legacy on a radically different vision of AI. In this conversation, he explains why Silicon Valley's obsession with scaling language models is a dead end, and why his new company AMI is building world models that predict in abstract representation space rather than generating pixels.


#mathematics #coding #ai #artificialintelligence #YannLeCun #STEM

Monday, December 22, 2025

National Mathematics Day - Birthday of a great mathematician

A person of great Inspiration!

"Every positive integer was one of his personal friends" - British Mathematician John Littlewood.

During my high school days, I watched the movie "The Man Who Knew Infinity". It was the first time I was introduced to an eminent mathematician through a gripping biopic. I was inspired by Srinivasa Ramanujan and began reading about him, which led me to decide to major in math.

A quote by him always lingers - "An equation means nothing to me unless it expresses a thought of God"

A fascinating scene was the popular Ramanujan anecdote about taxi cab number 1729 - "the smallest number expressible as the sum of two cubes in two different ways (1³ + 12³ and 9³ + 10³)". One more scene that intrigues us is the fierce academic challenge between the totally sceptical Major Percy Alexander MacMahon and the supremely confident Ramanujan on partitions [p(200)], which Prof. Hardy relishes from the sidelines.

The poetic justice moment occurs during the committee's discussion to decide on the FRS for Ramanujan. When the fictional Prof Howard (who enacts the Prof Arthur Berry episode in an earlier scene from real biography) opposes FRS for him by saying, "enough is enough with this...this Ramujin", Major MacMahon quickly intervenes and says, "I think he has the finest mind I've seen in my lifetime", and then corrects Prof Howard, "And his name is Ramanujan."

However, the goosebump scene is when Prof Hardy opens the door for Ramanujan, and he is welcomed by all the senior academicians with a ritualistic tapping on the desk - when he is finally elected as a Fellow of the Royal Society (FRS) and a Fellow of Trinity College, signifying that the once-sceptical academic community has fully accepted him as an equal.

A well-made movie worth watching on the birthday of the mathematical genius Shri Srinivasa Ramanujan, December 22, which we celebrate in India as National Mathematics Day in his honour. With a lot of respect and reverence, remembering the genius who lived only for 32 years, but gifted humanity with bundles of mathematical works that still help us in various realms - from ATMs and RADARS to Blockchain encryption layers and Quantum gravity models.


#mathematics #nationalmathematicsday #srinivasaramanujan #infinity #themanwhoknewinfinity #ghhardy #ramanujan

Sunday, November 16, 2025

Mathematics round the world

 Mathematics plays a crucial role in education all around the world, not just for solving equations but also for fostering logical reasoning, critical thinking, and organized problem-solving abilities. The topic of whether artificial intelligence (AI) should be taught with the same focus and framework as mathematics emerges as AI becomes more and more integrated into our daily lives.

In light of the fact that both AI and math teach us how to think more effectively, they should be taught similarly. Prompt engineering, like mathematics, should be at the center of education because it enables people to use AI for good in addition to understanding it.

https://www.analyticsinsight.net/artificial-intelligence/should-ai-be-taught-like-maths-why-prompt-engineering-might-be-the-next-literacy

#mathematics #AI #Artificialintelligence

Mangala Narlikar - an inspiration for women in STEM

 A mathematician who balanced family and figures, children and complex analysis, household and number theory. 

https://www.msn.com/en-in/autos/news/mangala-narlikar-changed-how-girls-in-india-learn-math-she-took-the-fear-out-of-it/ar-AA1ILULM

#mathematics  #math

Saturday, November 15, 2025

Hidden Figures

 Recently I watched an exciting movie "Hidden Figures" which was about three of the great female mathematicians, Dorothy Vaughan, Katherine Goble Johnson and Mary Jackson. It was a very inspiring movie which told about the life and struggles of the three mathematicians, and their work contribution in NASA.


Katherine Goble Johnson (August 26, 1918 - February 24, 2020) was an African-American mathematician who was well known for solving the complex manual calculations such as orbital mechanics which led to the first and following US crewed spacecraft. The space agency noted her "historical role as one of the first African-American women to work as a NASA scientist.

Mary Jackson (April 9, 1921 - February 11, 2005) was a mathematician and an aerospace engineer at NASA. In 1958, after much struggle to enroll for engineering classes, she successfully became NASA's first African female engineer.

Dorothy Vaughan, (September 20, 1910 - November 10, 2008) was a mathematician and a human computer who worked in the Langley Research Centre. Later in 1949, she became acting supervisor of the West Area Computers, the first African-American woman to receive a promotion and supervise a group of staff at the center.

The movie is based on the biographical book, "Hidden Figures: The American Dream and the Untold Story of the Black Women Who Helped Win the Space Race" written by Margot Lee Shetterly, which tells the story of these determined mathematicians, who challenged biases and discrimination, worked tirelessly and achieved in their areas of expertise. Such an inspiration.


Wednesday, November 12, 2025

AWM Sadosky Research Prize in Analysis

 Every year, the Association for Women in Mathematics (AWM) recognizes exceptional research done by USA-based early-career women mathematicians with the Sadosky Research Prize in Analysis.

The recipient of 2026 AWM Sadosky Research Prize in Analysis is Dr. Hong Wang, Associate Professor of Mathematics at New York University's Courant Institute of Mathematical Sciences, and permanent professor of mathematics at Institut des Hautes ร‰tudes Scientifiques (IHES).

Her contributions on solution for central problems in harmonic analysis and Courier restriction problem, the Kakeya Conjecture, and geometric measure theory is ground breaking. 

Great inspiration for women in math ๐Ÿ‘. 

#AWM #Womeninmath #research #mathematics #womeninstem #HarmonicAnalysis #KakeyaConjecture



AWM Microsoft Research Prize in Algebra and Number Theory

 Dr Sarah Peluse, Associate Professor at Stanford University, will be the recipient of the 2026 Association for Women in Mathematics (AWM) Microsoft Research Prize in Algebra and Number Theory. 

๐ŸŽ This prize serves as a wonderful recognition of Prof. Peluse's impactful work in number theory, combinatorics, ergodic theory, and representation theory, which finds far-reaching applications in industry areas such as cybersecurity, cryptography, telecom, analytics, and energy grids.☎️

⭐️ Truly an inspiration for women in Math ⭐️

#AWM #WomenInMath #Research #mathematics #WomenInSTEM #SarahPeluse #StanfordUniversity #NumberTheory


"...learn kind of basic things in mathematics, in modeling, mathematics that can be connected with reality....although you should learn...