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## Commutative Algebra: Interactions with Homological Algebra and Representation Theory

February 3 - 7, 2003

Craig Huneke: Homological algebra over Cohen-Macaulay ringsWilliam Dwyer: Gorenstein duality in algebra and topologyRoger Wiegand: Representation theory of Cohen-Macaulay ringsJohn Greenlees: Brave new commutative algebra rebornJan-Erik Roos: Explicit calculations of Hochschild homology of commutative algebrasBrooke Shipley: Topological equivalences of differential graded algebrasEdward Green: Resolutions with structureSergey Yuzvinsky: Commutative and skew-commutative algebra on hyperplane arrangementsGennady Lyubeznik: Local cohomology and its applicationsJon Carlson: Depth, detection, associated primes and isomorphisms of cohomology ringsMara Neusel: Applications of Steenrod technology to invariant theoryWinfried Bruns: From polytopal algebras to polyhedral K-theoryPaul Roberts: Almost flat extensionsJerzy Weyman: Applications of quiver representations, IHarm Derksen: Applications of quiver representations, IIIdun Reiten: Hereditary categories over arbitrary fieldsMitsuyasu Hashimoto: Good modules over reductive groups and commutative algebraHans-Bjorn Foxby: Hyperhomological algebra in commutative algebraSrikanth Iyengar: The homological complexity of the Frobenius endomorphismMichel Van den Bergh: Three-dimensional flops and non-commutative ringsKaren Smith: Jumping coefficients and the uniform Artin Rees theorem

## Computational Commutative Algebra

March 13 - 15, 2003

Lorenzo Robbiano: CoCoA at workMatthias Aschenbrenner: Bounds and algorithms for polynomial rings over the integersJuergen Herzog: Ideals of fiber typeVic Reiner: Koszul algebras in combinatoricsMike Stillman: Ideals associated to Bayesian networksPaolo Aluffi: Shadows of blow-up algebrasHenry K. Schenck: Hyperplane arrangements and free resolutionsGregor Kemper: Separating orbits by invariants: Applications and computationsJon F. Carlson: Problems in cohomology calculationsDuco van Straten: Stochastic factorisations, sandwiched simplices and the topology of the space of explanationsGert-Martin Wilhelm Greuel: Finite solvable groups and finite algebraic geometryJosef Schicho: The method of adjoints for surfacesGabriela Tali Jeronimo: Solving polynomial equations by decomposition of algebraic varietiesRekha Rachel Thomas: Algebraic shiftingGert-Martin Wilhelm Greuel: with Robbiano and Stillman: PANEL

## Semi-classical Methods in Physics and Chemistry

April 7 - 11, 2003

Mark Child: Quantum monodromy in the spectrum of water and other speciesPredrag Cvitanovic: Hopf's last hope: Spatiotemporal chaos in terms of unstable recurrent patternsPaul Brumer: Semi-classical mechanics in the coherent control of molecular processesWilliam Miller: Including quantum effects into classical molecular dynamics simulations via the semiclassical initial value representationBoris Zhilinskii: Fractional monodromy of classical and quantum nonlinear oscillators and defects of latticesFrederic Faure: Topological indices in molecular spectraElliott Lieb: A review of the Thomas-Fermi semi-classical theory of atoms and moleculesOleg Prezhdo: Novel approaches to non-adiabatic molecular dynamicsMichael Thoss: Semiclassical description of quantum effects in molecular dynamicsBernard Helffer: Semi-classical methods in superconductivityLuc Hillairet: Contribution of periodic diffractive orbits in polygonal billiardsSrinivas Sridhar: Exploring semiclassics using microwavesAvraham Soffer: Time dependent resonance theory and applicationsEugene Tracy: Ray helicity: A geometric invariant for multi-dimensional resonant linear wave conversionPatrick Leboeuf: Semi-classical thermodynamics of small Fermi systemsStephen Creagh: Wavefunction and tunnelling statistics using scar statesKenneth Kay: Exact quantum mechanics from classical trajectoriesJonathan Robbins: Maslov indices and sigularities of integrable systemsGregor Tanner: Dynamics near the triple collision in two-electron atomsSteven Tomsovic: Sensitivity of wave field evolution and manifold stability in chaotic systemVictor Ivrii: Sharp spectral asymptotics for operators with irregular coefficients: Pushing the limitsMichael Wilkinson: Non-adiabatic transitions in multi-level systemsKevin Mitchell: Pulse trains, fractals and the ionization of hydrogenLaurent Wiesenfeld: Relative transition state: Relevance for inelastic scatteringHerbert Spohn: Peierls substitution and beyond (space-adiabatic perturbation theory)

## The History of Algebra in the Nineteenth and Twentieth Centuries

April 21 - 25, 2003

Sloan Despeaux: Very full of symbols: Duncan F. Gregory, the calculus of operations, and the Cambridge Mathematical JournalEduardo Ortiz: Between algebra and analysis: The impact of the French School of Ideologie on Charles Babbage's work on functional equationsJeremy Gray: F. S. Macaulay: An English schoolmaster and abstract algebraSeverino Coutinho: Quotient rings of noncommutative ringsOlaf Neumann: On the early history of commutative algebra with special emphasis on divisibility theories and the foundations of algebraic geometryHarold Edwards: Kronecker's "Fundamentalstz der Allgemeinen Arithmetic" and its relations to the fundamental theorem of algebraLeo Corry: From Algebra (1895) to Moderne Algebra (1930), changing conceptions of a discipline: A guided tour using the Jahrbuch uber die Forschritte der MathematikKaren Parshall: Defining a mathematical research school: The case of algebra at the University of Chicago, 1892-1950Della Fenster: Leonard Dickson's algebraic research and its institutional context: A case study of A. Adrian AlbertCharles Curtis: Historical notes on Emmy Noether's 1932 ICM lecture on simple algebras and algebraic number theoryJoachim Schwermer: On the local-global priciple in arithmetic and algebraGunther Frei: On the history of the Frobenius- and Tchebotarev-DensityColin McLarty: The rising tide: Grothendieck on simplicity and generalityNorbert Schappacher: Bartel van der Waerden's work on algebraic geometrySilke Slembek: On the arithmetization of algebraic geometry: The case of Oscar Zariski

## Mathematical Semi-Classical Analysis

May 5 - 9, 2003

Nicolas Burq: Control of Schrodinger equations and high energy eigenfunctions scarring (joint work with M. Zworski)Stephane Nonnenmacher: Semi-classical measures of quantum cat mapsAlejandro Uribe: Pseudospectra of Berezin-Toeplitz operatorsJohannes Sjostrand: Perturbations of self-adjoint operators with periodic flow-branching levelsYves Colin de Verdiere: Normal forms for the mode conversion problemAndrew Hassell: The Schroedinger propagator for scattering metricsElon Lindenstrauss: Measure rigidity and eigenfunctions of the LaplacianViviane Baladi: Dynamical zeta functions and spectrum of transfer operators: From Milnor-Thurston to Ruelle and backWei-Min Wang: Quasi periodic solutions for non-linear random Schrodinger equationsPavel Bleher: Double scaling limit in random matrix models and semiclassical asymptotics of orthogonal polynomials at critical pointsJohn Toth: L^p norms of eigenfunctions in the completely integrable caseAndre Martinez: Quantum resonances for non-analytic potentialsNils Dencker: Pseudo-spectra of semi-classical differential operatorsE. Brian Davies: Pseudospectra and applicationsPercy Deift: Long-time behavior of solutions of the Nonlinear Schroedinger (NLS) Equation with rough initial dataPlamen Stefanov: Upper bounds on the number of scattering polesAlexander Sobolev: Density of states for periodic Schrodinger operatorsShu Nakamura: On the proof of exponential estimate in the adiabatic limit (joint work with V. Sordoni)Sandro Graffi: Estimating the Ehrenfest time through the quantum normal formMichael Hitrik: Lagrangian tori in non-selfadjoint spectral theoryAndras Vasy: Scattering theory on symmetric spaces and for N-body HamiltoniansGeorgui Vodev: Uniform high frequency resolvent estimates for the Laplace-Beltrami operator on non-compact Riemannian manifolds and applications

## Triangulations of Point Sets: Applications, Structures, Algorithms (Summer Graduate Program)

July 21 - 31, 2003

Francisco Santos: Motivation and Fundamental Notions, IFrancisco Santos: Motivation and Fundamental Notions, IIJesus De Loera: Life in Two Dimensions, IJesus De Loera: Life in Two Dimensions, IIJonathan Shewchuk: Delauny Triangulations and Relations to Computational GeometryJoerg Rambau: Regular Triangulations and Secondary Polytopes, IJoerg Rambau: Regular Triangulations and Secondary Polytopes, IIFrancisco Santos: Nonregular Triangulations, IFrancisco Santos: Nonregular Triangulations, IIJoerg Rambau: A Friendly Space of Triangulations: Cyclic Polytopes, IJoerg Rambau: A Friendly Space of Triangulations: Cyclic Polytopes, IIFrancisco Santos: Unfriendly Spaces of Triangulations, IFrancisco Santos: Unfriendly Spaces of Triangulations, IIJesus De Loera: Optimization in the Space of Triangulations, IJesus De Loera: Optimization in the Space of Triangulations, IIFrancis Su: Lower Bounds for Minimal Triangulations of CubesJoerg Rambau: Enumeration in the Space of Triangulations, IJoerg Rambau: Enumeration in the Space of Triangulations, IIBernd Sturmfels: Triangulations of Point SetsCliff Stall: Glass and GeometryJoerg Rambau: Fiber PolytopesFrancisco Santos: The Cayley TrickJesus De Loera: Triangulations and Lattice Polytopes

## Non-Workshop Lectures

Eric Heller: What are scars?

Careers in Mathematics

MSRI: Fall 2002

Lectures from Other Organizations: 2002 - 2003

Lectures from Other Organizations: 2000 - 2001

Lectures from Other Organizations: 1998 - 1999

Lectures from Other Organizations: 1996 - 1997

Lectures for the General Public