So, semiinjectivity. #mathematics #research
So, semiinjectivity. #mathematics #research
"Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems [...] can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences." – Erik Christopher Zeeman (1925-2016)
#quote #mathematics #math #maths #reasoning
Truly delighted that Rajula Srivastava, early-career mathematician at the University of Bonn & the Max Planck Institute for #Mathematics, is honoured w/ the 2025 Maryam Mirzakhani New Frontiers Prize for her work in harmonic analysis & number theory! Congratulations – here’s to many more milestones ahead!
Absolutely thrilled that Dennis Gaitsgory from the Max Planck Institute for Mathematics has won the 2025 Breakthrough Prize in #Mathematics for his central role in the proof of the geometric #Langlands conjecture - often referred to as the Rosetta Stone of math! Congratulations - this is such a well-deserved recognition for decades of deep work!
“…the AIs were never able to recognize when they had not solved the problem. In every case, rather than give up, they confidently output a proof that had a large gap or an outright error.”
—Ernest Davis & Gary Marcus, Reports of LLMs mastering math have been greatly exaggerated
#mathematics #llm #llms #ai
“The USA Math Olympiad is an extremely challenging math competition for the top US high school students… Hours after it was completed…a team of scientists gave the problems to some of the top large language models, whose mathematical and reasoning abilities have been loudly proclaimed… The results were dismal: None of the AIs scored higher than 5% overall”
—Ernest Davis & Gary Marcus, Reports of LLMs mastering math have been greatly exaggerated
https://garymarcus.substack.com/p/reports-of-llms-mastering-math-have
#mathematics #llms #llm #ai
After spending the morning getting back into writing #fanfiction, I changed to #mathematics #research this afternoon. I had planned on rewriting some notes on hamiltonian and eulerian digraphs, but I realized that I didn't work through the subobject lattice.
Oops. Well, more work to do.
After spending the morning getting back into writing #fanfiction, I changed to #mathematics #research this afternoon. I had planned on rewriting some notes on hamiltonian and eulerian digraphs, but I realized that I didn't work through the subobject lattice.
Oops. Well, more work to do.
Teach Math with film for Mathematics & Statistics Month in April! We have film guides with math lesson suitable for grade 4 all the way to grade 12!
Get your free math lesson plans and liven up your math classes today! 1/2
https://journeysinfilm.org/articles/teach-math-with-film-for-math-and-stats-month/
#MathAndStatsMonth #Math #Maths #Mathematics #StemEd #Education #Homeschooling @education @edutooters @stemed
These art pieces are generated starting with a rectangle of given proportions and iteratively generating two smaller rectangles from it, using a simple procedure (which could be easily done with ruler and compass).
Rectangles are coloured according to their proportion and orientation, each piece with a different palette . No randomness here (as usual). Generated using #Python .
#MathArt #Art #Mathematics
On not remembering much about my 1992 visit to the Oberwolfach Research Institute for Mathematics in the Black Forest. #111Words #Oberwolfach #BlackForest #MicheleSantamaria #Poetry #Mathematics #PaulShields #LempelZiv https://andrewjshields.blogspot.com/2025/04/on-not-remembering-much-about-my-1992.html
what you might call an interesting result
Oberwolfach, a Love Poem
Michele Santamaria
#Poetry #MichelleSantamaria #Oberwolfach #Mathematics #TheShore #FridaKahlo
https://www.theshorepoetry.org/michele-santamaria-oberwolfach-a-love-poem
I have posted the 238th Carnival of Mathematics!
https://www.fractalkitty.com/238th-carnival-of-mathematic/
If I missed something please let me know.
There is an extremely slow bit of javascript for untouchable numbers that hopefully won't make the post untouchable.
Thank you @aperiodical for organizing this.
This month we have posts from @mjd Peter Cameron, @two_star, @j2kun, Brian Clegg, @fortnow @KarenCampe, Amédée d'Aboville, Ed Vogel, @standupmaths
There was also an amazing amount of math and art being shared on blueSky with @Ayliean 's math art March prompts
last night I went on a wiki walk starting with Donald Knuth's impressive body of work and the title of his novelette "Surreal Numbers" piqued my interest
this led me down a delightfully confusing but fascinating peek into the weird side of math ft. The Monster, Baby Monster, magic squares and phrases that cracked me up like "weakly inaccessible cardinal"
def gave me a new perspective on cardinality which I mostly deal with in the practical sense with system telemetry
These two art pieces are based on the deformation of a hexagonal tiling into a topologically equivalent "tiling" composed of parts of concentric circles, all parts having the same area (third image). Selecting one hexagon as the center, we transform it into a circle of radius 1. Next concentric circle will hold the 6 adjacent tiles as sectors of rings. And so on, the circle of level n will have radius sqrt(1+3·n·(n+1)) (difference of radius when n tends to infinity approaches sqrt(3)). This map can be coloured with three colours, like the hexagonal tiling. For the artwork, suppose each sector of ring is in fact a sector of a circle hidden by inner pieces. Then choose a colour and delete all pieces not of this colour. Two distinct set of sectors can be produced, one choosing the central colour, one choosing another colour. Finally recolour the pieces according to its size.
#MathArt #Art #Mathematics #geometry #tiling
Theorem of the Day (April 3, 2025) : Noether’s Symmetry Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/MathPhysics/Noether/TotDNoether.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#86
As I appear to be doing a Glasgow mini-thread, have I mentioned before how much I love the Mathematics and Statistics building at the University of Glasgow?
Because I love the Mathematics and Statistics building at the University of Glasgow.