faba Posted December 27, 2005 Share Posted December 27, 2005 Prof Honored for Solving Old Math Problem By Associated Press 5 hours ago KANSAS CITY, Mo. - A professor at the University of Missouri-Columbia is being recognized for solving a math problem that had stumped his peers for more than 40 years. The achievement has landed Steven Hofmann an invitation to speak next spring at the 2006 International Congress of Mathematicians in Madrid, Spain. "It is like a baseball player being picked for the all-star team," Hofmann said of the invitation to the event, which is held every four years. Hofmann became curious about the problem as an undergraduate when a professor introduced him to it. The professor was unable to solve the problem. Hofmann, 47, would have more success when the problem began to take over his life in 1996. Until he solved it in 2000, it was the last thing he thought about before he went to bed and the first thing he thought about when he woke. He spent two to eight hours each day on the problem, working periodically with several colleagues. "I could be out for a bike ride, and I would be thinking about it," Hofmann told The Kansas City Star. "Sometimes I would be doing something, get an idea and have to stop ... and write it down." The problem, known as Kato's Conjecture, applies to the theory of waves moving through different media, such as seismic waves traveling through different types of rock. It bears the name of Tosio Kato, a now-deceased mathematician at the University of California-Berkeley, who posed the problem in research papers first written in 1953 and again in 1961. Part of the problem, called the one-dimensional version, was solved about 20 years ago. Though it was a breakthrough, work remained. Hofmann solved the problem in all its dimensions in a 120-word paper that he wrote with several colleagues _ Pascal Auscher, Michael Lacey, John Lewis, Alan McIntosh and Philippe Tchamitchian. "Philosophically, the reason research in math matters is that by pursuing math ideas that are deep and interesting for their own sake, you will get real-world applications in the future," Hofmann said. "It is like making investments." Theodore Slaman, chairman of the Department of Mathematics at the University of California-Berkeley, said solving a problem as old as Kato's Conjecture "is like finding the Holy Grail." "Once you have solved it, people believe you have an understanding of an entirely new area. The longer a problem has been around, the more cachet associated with solving it." ___ Link to comment Share on other sites More sharing options...
Bergen Jet Posted December 28, 2005 Share Posted December 28, 2005 Very interesting. It is amazing that this all but took complete control of his life. Impressive. ...and he beat me to the solution by just a few minutes Link to comment Share on other sites More sharing options...
Bob Posted December 28, 2005 Share Posted December 28, 2005 Please. I TOTALLY solved that thing while sitting on the can in 1996. I just didn't brag about it. Link to comment Share on other sites More sharing options...
Smizzy Posted December 28, 2005 Share Posted December 28, 2005 Please. I TOTALLY solved that thing while sitting on the can in 1996. I just didn't brag about it. Link to comment Share on other sites More sharing options...
gg Posted December 28, 2005 Share Posted December 28, 2005 thanks faba!! cool stuff! although it is not as if it was fermat's last theorem ...now THAT would be impressive! Link to comment Share on other sites More sharing options...
Big Al NYC Posted December 28, 2005 Share Posted December 28, 2005 although it is not as if it was fermat's last theorem ...now THAT would be impressive! If you're interested in that kind of thing (as a math teacher, I'm assuming you are), I'd recommend checking out The Music of the Primes, by Marcus du Sautoy. Really interesting look into Riemann's Hypothesis, prime number theory, all that good stuff. Just a suggestion from one nerd to another. Link to comment Share on other sites More sharing options...
Cant Hackett Posted December 29, 2005 Share Posted December 29, 2005 Theodore Slaman, chairman of the Department of Mathematics at the University of California-Berkeley, said solving a problem as old as Kato's Conjecture "is like the Jets winning the Super Bowl." " The longer a problem has been around, the more cachet associated with solving it." Link to comment Share on other sites More sharing options...
Cant Hackett Posted December 29, 2005 Share Posted December 29, 2005 Hackett loves working with figures. Link to comment Share on other sites More sharing options...
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