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Department of Mathematics
The City College of New York
160 Convent Avenue
New York, NY 10031

Phone: (212) 650-5346
Fax: (212) 650-6294
math@ccny.cuny.edu

Mathematics Colloquium

All talks

  • Thursday, April 10, 2008, 01:00PM, NAC 6/111

    Ethan Akin (CCNY), Chaos: what it is and why it doesn't matter (except maybe it does)

    Learn about the mysteries of chaos. Laugh at Jurassic Park. Be amazed by the proof of Nietzsche's Theorem. Impress your friends.

    This talk is, I hope, suitable for advanced undergraduates, philosophers and cranks of all kinds.

    This talk will follow the annual Math Finals Award Lunch which will be in NAC 8/133 from 12-1. Come and eat your fill, and then nap - quietly, no snoring, please, during the talk.

  • Thursday, November 15, 2007, 01:00PM, NAC 1/511E (Artino Lab)

    Linda Cummings (Nottingham), Complex variable methods applied to free boundary problems

    Complex variable methods such as conformal mapping can be usefully applied to a variety of 2D free (and moving) boundary problems where the governing equation is Laplacian or biharmonic. We illustrate how exact time-dependent solutions can be obtained for a classical problem from fluid mechanics: the Hele-Shaw free boundary problem. This problem, which arises from a very simple experimental set-up, is mathematically equivalent to many physically-relevant situations.

    After introducing the Hele-Shaw experimental set-up and governing equations, the complex variable methods will be explained, and demonstrated by examples. Issues of solution breakdown (and how to prevent this mathematically) will be discussed. If time permits, application of similar methods to other physically-relevant free boundary problems will be outlined.

  • Thursday, November 08, 2007, 01:00PM, NAC 6/111

    Eric Lyon (Queen's University Belfast), Signal Processing, Composition, and What You (Mathematicians) Can Do for Computer Music

    I will present some audio signal processing methods I've developed, demonstrate their compositional applications, and discuss more generally how mathematical innovations can find their way into music.

  • Thursday, November 01, 2007, 01:00PM, NAC 6/111

    Jose Burillo (CCNY), An introduction to amenability

    Amenability is a classic subject dating to the 1920s, and related to some striking classic mathematics, like the axiom of choice, and the Banach-Tarski Paradox. In the last 20 years, it has gathered increased interest in the subject of geometric group theory, due to its invariance by quasi-isometry. In this talk, I will give an introduction to the subject and try to explain its interest for contemporary group theorists, together with examples and open problems.

  • Thursday, October 25, 2007, 01:00PM, ***Special Room*** NAC 1/511E (Artino Lab)

    Jaime Gutierrez (University of Cantabria, Spain), Lattices in Algorithmic Mathematics

    Our world is not linear. Many phenomena, however, are often "linearized" because only then a reasonably well-working mathematical machinery can describe the phenomena and produce meaningful forecasts.

    Lattices are geometric objects that have been used to solve many problems in mathematics and computer science. Lattice reduction strategies or the so called LLL-techniques seem inherently linear. The general idea of this technique is to translate our non linear problem to finding a short vector in a lattice built from the nonlinear equation. Then, the so-called Shortest Vector Problem and Closest Vector Problem in lattices play a major role. In recent years, these techniques have been used repeatedly in algorithmic coding theory and cryptography.

    In this talk I will investigate lattice reduction technique on some algebraic problems, namely

    • to compute intermediate subfields,
    • to study Cayley graphs: Groebner basis and LLL-reduced basis
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