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Fall 2004

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Faculty Honors
Hales receives Moore Prize
The R.E. Moore Prize for Applications of Interval Analysis was awarded to Thomas C. Hales for the use of interval arithmetic in his solution of the Kepler conjecture. The prize was awarded in Fukuoka Japan on October 7, 2004 by the Editorial Board of the journal "Reliable Computing." The prize is awarded once every two years for the best dissertation or paper in applications of interval analysis.
The prize is named in honor of Ramon Moore, who was one of the first to publicize the underlying principles of interval arithmetic in their modern form. Further details about the Moore Prize are available here. Further details about Hales's solution of the Kepler conjecture are available on Hales' website, and here. For an expository account of the solution see this earlier MathZine article.
Ermentrout appointed University Professor of Computational Biology
In October Bard Ermentrout gave his inaugural lecture as University Professor of Computational Biology. Titled `The Visions of Shamans: Dynamic Instabilities in Neuroscience', it was an exhilarating trip! Starting from the questions, `How does an animal switch gaits?', `What determines stripes or spots?' and `What do geometric signs in Paleolithic art mean?', Bard explained the underlying neurological phenomena in terms of the mathematics of dynamic instabilities.     More >>

Conferences
AMS Fall 2004 Section Meeting
November 6-7th the Math Department hosted the Fall 2004 AMS Sectional Meeting. Dehua Wang was the primary local organizer.
240 people made presentations in the main program and in 15 Special Sessions in subjects ranging from `Trends in Operator Theory and Banach Spaces' and `Modularity of Galois Representations and Serre's Conjecture' to `Mathematical Biology' and `Multiscale Algorithms in Computational Fluid Dynamics'.
New Faculty
Assistant Professor: Piotr Hajlasz
Piotr Hajlasz received his Ph.D. from the Warsaw University in 1994. Before coming to Pittsburgh he was a professor at the Warsaw University. He was also a long term visitor at International Center for Theoretical Physics in Trieste, Max Planck Institute for Mathematics in the Sciences in Leipzig and the University of Michigan.

His research interests cover various areas in geometric analysis. He is especially interested in the theory of Sobolev spaces with applications to analysis on metric spaces, geometry and topology, calculus of variations and nonlinear elliptic partial differential equations. His current research concerns the theory of Sobolev mappings between manifolds with connections to the topology of manifolds.


Assistant Professor: David Swigon
David Swigon received his Mgr. degree (equivalent of M.S.) from Charles University in Prague and a Ph. D. degree from Rutgers University in 1999. He has a background in applied mathematics (ODEs, PDEs, dynamical systems, stochastic dynamics), continuum mechanics, biophysics, and molecular biology. Before coming to Pittsburgh he worked as a Research Associate at the Department of Chemistry at Rutgers. His research is in the area of mathematical biology, where he uses mathematical principles and computational tools to advance the understanding of the relation between protein and DNA structure, gene regulation, and the dynamics of genetic and signaling networks; of particular interest are cases in which elastic properties of DNA and proteins play a significant biological role.
David's recent and current projects include the analysis of expression of lactose metabolizing enzymes in E. coli, determination of the structure and deformability of protein-induced loops in DNA, and calculation of complexes of proteins and DNA that occur during transcription initiation for a special class of E. coli genes activated by the protein CAP. He is also working on theoretical issues in genetic network analysis, such as the relation between network topology and its dynamical behavior or the influence of noise on asymptotic dynamics of the network.

Undergraduate News
Pitt Math Club
The Pitt Math Club is a relatively new club whose members love Math. So far this year we have had a social and organizational meeting, a Halloween social complete with spectacular costumes and a Meeting which centered on the Clay Math Institute Millennium Problems.
At this meeting each of the 7 problems was briefly described and comments were made by the audience. We hope to follow this up with a student seminar on other famous problems to deepen our understanding of research Mathematics.
Projects for next term include
  • becoming recognized as an `official' university student Organization
  • help with the Careers in Math fair to be held in the student employment center on Jan 11 at 3:30
  • attend the pi Mu epsilon conference at Youngstown St Univ (Feb)
    Interested students are more than welcome to attend our meetings and contribute ideas for future meetings.
    -Tom Metzger, Lindsay Custer, Megan Heilenman, Stephanie Lorusso &Melissa Mazzanti.

  • Picture Perfect
    Card Shuffling
    Card shuffling is a fascinating branch of mathematics combining probability theory, Markov chains, dynamical systems, Lie theory, symmetric functions and random matrix theory.
    Read on as Pitt math professor Jason Fulman uncovers the secrets of shuffling - for a start, how many times must a riffle shuffle be repeated for a deck of cards to be well mixed?
        More >>



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