In Seattlu Meeting 5,444 mathematical minds


The world’s largest gathering mathematician convened in Seattl from January 8 to January 11 – 5,444 mathematicians, 3,272 conversations. This year the program was somewhat separated from its traditional Kaleidoscopic panorama. The official theme “Mathematics in AI” was appointed by Bryna Kra, president of the American Mathematical Society, which is an event in cooperation with 16 partner organizations. In one or the other configuration, a meeting, called joint mathematics meetings, or JMM, has been maintained more or less annually for more than a century.

Dr. The end of AI intended as a “invitation to wake up”. “Ai is something that is in our lives and it’s time to start thinking about how it affects your teaching, your students, your research,” she said in an interview with the New York Times. “What does it mean to have Ai as a co -author? These are the kinds of questions we have to deal with.”

On the second night, Yann Lecun, the main AI scientist from Meta, gave a major lecture entitled “Mathematical Obesity on the Road to Ai at the level of man”, Dr. Lecun entered the technical weed a little, but there were digestible little things.

“The current state of machine learning is that it is shit,” he said during the lecture, to hit a lot. “It has nothing to do with people, it has nothing to do with attempting to reproduce a mathematician or scientist; we can’t even reproduce what a cat can do.”

Instead of the generative models of large languages ​​that run chatbot, he claimed, “large proportions World model“It would be a better bet for promoting and improving technology. Such a system, he said in an interview after the lecture, “can reason and plan because it has a mental model of the world that envisages the consequences of its action.” But there are obstacles, he admitted – some mathematically unspeakable problems, their solutions nowhere in sight.

Deirdre Haskell, Director of the Institute for Mathematical Sciences Research in Toronto and Mathematician at McMaster University, could have said ‘artificial intelligence.’

In his lecture, Dr. Lecun noted that the expression was artificial general intelligence, or agi-strata with intelligence at the level of people-a wrong name. People “have no general intelligence at all,” he said. “We are extremely specialized.” The preferred expression in the target, he said, is “an advanced machine intelligence”, or ami – “We pronounce it” ami “, which means a friend in French.”

Dr. Haskell has already been sold to the importance of “use of AI for mathematics, and a huge problem of understanding the mathematics of AI” mathematical logic expert, it works on the equivalent of textbooks: a collection of results that can be used by AI systems to generate and check more complicated mathematical research and evidence.

For Kenny Banks, undergraduate study at North Carolina University in Greensboro who attended JMM, artificial intelligence does not attract a tool for running research. “I think the math that people currently love triggers human curiosity, and what computers consider interesting cannot be the same as what people consider interesting,” said Ue -Poruci. Still, he regretted not squeezing any conversations related to AI into his plan. “The topic of Math + Ai was definitely interesting, she just ended without working with all the things I planned!”

Here are some more prominent parts of Mathapaloose in Seattl:

At 6 pm on Wednesday, January 8, after a ribbon cutting ceremony and awards, participants imprinted in the exhibition hall until admission. The draw was a) free food of IB) cabin exhibitors occupied by publishers and suppliers of different mathematical goods. At Stand 337, Robert Fathauer was selling an impressive list of cubes – including a new “5-band go to the first dice“A colorful five -cubed set of 60 pages that do not share a common number, allowing five players in equal shooting when rolling to determine who starts first. Dr. Fathauer, based in Arizona, was also co -organized by the art exhibition of the meeting and contributed to two ceramic sculptures of his own, “hyperbolic helicoid” and “cubic grip”.

The award -winning artistic reports of the exhibitors were the “saddle monster”, which were crying in wool, copper and nylon, shiying dong of Greenwich, Conn., Mathematical artist with a doctorate. in physics …

… And “twisted” and “UnaStived”, created using a vector graphic application on IPAD, Rashmi Sunder-Raj, mathematical artist in Waterloo, Ontario.

Rebecca Lin, Ph.D. A student in MIT Informatics, received a honorable mention for laser engraved engraving on paper entitled “It breaks down (state of mind).”

On Thursday, Jon Wild, a music theorist at McGill University in Montreal, who was called on to a session of applied mathematics to discuss his investigations on the “counting of circles” on the plane. Considering certain restrictions, there is one way to draw one circle, three ways of drawing two circles, 14 ways to draw three, 173 ways for four and 16,951 ways to draw five. (Listing six circles is yet to calculate.) Dr. Wild was surprised to find out that this research was relevant to the three -dimensional press: that is, that more printer heads could get into traces with each circular arches while avoiding collisions. “I was bent,” said Dr. Wild.

During the mathematics and art session, Susan Goldstine, a mathematician at St. Mary’s College of Maryland, taught about her craft “Poincaré Blues”. Named after the French mathematician Henri Poincaré, the project included the production of patchwork denim skirts from old jeans. As she described in writing: “After the noodles with different patterns, I placed on the paving of the poincaré disk of the hyperbolic plane with a triangle of 30 ° to 45 ° to 90 °”, which was known from it from it from from from the relationship illustration According to the classic geomet of HSM Coxeter (who also inspired the Dutch artist MC Escher).

At noon, the undergraduate poster session was buzzing with exhibitions on topics, including the synchronization of lunar time; mathematics of piano tuning; loops in a four -dimensional space; And a model for fire retention, smoke expansion and their effects of public health.

During the second session of mathematics and art, Barry Cyprus, a mathematician from Minnesota, spoke of “Yellow field“(” Yellow Field “), painting by Swiss artist Max Bill, trained Bauhaus.

It seems to be a firm canvas color, said Dr. Cyprus, but there is a poor pattern of contrasting dots or, more precisely, squares. “Let’s look at the abstract version of Bill’s abstract,” he said. “Can you notice what the account does?”

Analysis of Dr. Cyprus, the artist coded the classic magic square 3-by-3-quadral set of numbers that form a logical puzzle where the sum of each row, column and diagonal equal to 15.

Another peculiarity was that each row, column and diagonal had five pips (as on cubes or dominoes):

Dr. Cyprus noted, “Looks like Bill set up and solved the original problem of mathematics and hid it in the picture: Can you set Pips inside each square of a magic square of 3 to 3, so there are exactly five pips with each row, column and main diagonal 9-in-9 underground? “But it’s far from a clear answer what the answer will be.”

Dr. Goldstine discovered the discovery of Dr. Cyprus. I am always excited when math appears at a place where you would not expect it, “Ue -Business said.” I often use these surprising relationships to get students who could be afraid or bored with mathematics to see part of his beauty. “

The last day offered a number of public events including mini Mathematical Festival with practical puzzles and games.

“Why is this math?” asked Alexandra Upton (7) from geometric puzzle.

“Because we can count all the different ways we shaped,” said her mother, Karolina Sarnowska-Utto, head of software engineering at Microsoft in Redmond, Wash.

In one public lecture Ravi Vakil, a mathematician at Stanford and the arrival president of the American Mathematical Society, investigated at the same time playful and deeply “Mathematics of doodling. “

In the second, Eugenia Cheng, a mathematician and pianist at the School of the Art Institute of Chicago, addressed “Mathematics, Art, Social Justice.” One of her visible messages: “Pure mathematics frame is to agree on things.” She sang a lecture with a recorded video of herself playing a piano.

And there was a world premiere of the documentary “Creating Roads”, the second to “”Travels of black mathematicians“Director George Csicsiry series. (It airs on public television stations In February) the older film advisor was Johnny Houston, a professor of Emeritus at Elizabeth City State University in North Carolina. After the screening, Dr. Houston noticed the time of premiere in 2025: 1925. Elbert Frank Cox became the first African -American – and the first black person in the world – a doctorate. in mathematics. From our own journey and many black mathematicians, Dr. Houston said that with exposure, experience and opportunities, “we can do as well as any mathematician in earning a doctorate. and beyond. “

The last one in the conversations ended that evening. Until 3 in the morning the next morning, while some participants headed to the airport, two mathematicians were just going to bed, but not before the elevator to the hotel lobby were requested for late checkout.



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