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## Genetics of Complex Disease

February 9 - 13, 2004

Wing Wong: An approach to obtain tight clustersJoe Gray: Genetic complexity in cancerAdam Olshen: Change-point methods for the analysis of array-based DNA copy number dataWarren Ewens: Thoughts on the TDTThomas Quertermous: Microarray profiling to identify vascular wall genes for association based candidate gene studies of atherosclerosis: genomics meets geneticsEddy Rubin: Comparing Genomes to Study DiseaseNik Schork: Novel Multivariate Analysis Methods for Genomic AnalysisArt Owen: A Gene Recommender for C. elegansDavid Siegmund: Mapping QTL in the presence of gene-covariateTerry Speed: Finding genes associated with multiple sclerosisBenjamin Yakir: A probabilistic framework for the statistics of selective samplingHonghzhe Li: Statistical Methods for Analysis of Microarray Time Course Gene Expression DataHua Tang: Inference of Ancestry for Admixed GroupsStefan Bekiranov: Mapping of Transcription Factor Sites along Human Chromosones 21 and 22 Using Genome Tiling ArraysIngleif Hallgrimsdottir: Algebraic Statistical Genetics: Linkage AnalysisJosee Dupuis: Identification of polymorphisms that explain a linkage peakRichard Olshen: Tree-structured Supervied Learning and the Genetics of HypertensionHeping Zhang: Linkage Analysis of Longitudinal Data and Study Design ConsiderationsFengzhu Sun: Haplotype Block Parition and its applications to association studiesMark Segal: Sequence-based Prediction of HIV-1 Replication CapacityFred Wright: Mapping Tumor Suppressor Genes Using Loss of HeterozygositySandrine Dudoit: Resampling-based multiple testing procedures: Applications to microarray data analysisEarl Hubbell: Alleles, entropy, and locations: Which SNPs do you put on a chip?Robert Tibshirani: Sample classification from protein mass spectroscopy by peak probability contrastsChao Agnes Hsiung: Normalization Methods of cDNA Microarray Experiments under Different DesignsCheng Li: Analysis of oligonucleotide SNP array dataKarl Broman: Gene mapping in model organismsElizabeth Thompson: Detecting Genes from Data on Related IndividualsChip Lawrence: A Statistical Sampling Algorithm for RNA Secondary Structure PredictionEleanor Feingold: Efficient simulation of p-values for linkage analysisHao Li: Genomic Reconstruction of Yeast Transcription NetworksAndrew Neuwald: Obtaining evolutionary clues to protein structural mechanismsChiara Sabatti: Dictionary models for regulatory regions in DNA and gene expression arraysKen Lange: Association Testing with MendelRichard Karp: Combinatorial Approaches to the Haplotype Phasing ProblemMatthew Stephens: Identifying recombination hotspots from LD in the human genome

## Topology and Geometry of Real Algebraic Varieties

February 23 - 27, 2004

Grigory Mikhalkin: Topology and Geometry of Real Algebraic VarietiesJoost van Hamel: Galois equivariant intersection homologyTimur Sadykov: The amoeba of a discriminantFrederic Mangolte: Real alegebraic morphisms on 2-dimensional conic bundlesJanos Kollar: Real Fano 3-foldsStepan Orevkov: On braid monodromy monoidMaxim Kazarian: On several classical enumerative problems in algebraic geometryIgor Kalinin: Cohomology characteristics of real algebraic varietiesDmitry Novikov: Convex-concave hypersurfaces in real projective spacesClint McCrory: A weight filtration for real algebraic varietiesBoris Shapiro: Real analogs of Hurwitz numbersJean-Yves Welschinger: Spinor states of real rational curves in real algebraic convex 3-manifolds and enumeratice invariantsSergei Finashin: Real Lefschetz pencils and genus bounds for membranesHenry King: Isotoping submanifolds to subvarietiesIlia Itenberg: Topology of real tropical varietiesEugenii Shustin: A tropical computation of the Weischinger invariantClaude Michel Viterbo: Geometry of lagrangian submanifoldsJean-Claude Hausmann: Polygon spacesJohannes Huismann: The geometry of real space curvesPatrick Gilmer: Arf-invariants of links and congruences for real algebraic curvesS. Friedland: Applications of topology and geometry to matrices

## Assessing Students' Mathematical Learning: Issues, Costs and Benefits

March 7 - 10, 2004

David Eisenbud, Deborah Ball:A Private Universe(54-sec. clip) Welcome, overview and purposes of workshopRobert Moses, Judith Ramaley, Alan Schoenfeld, Susan Sclafani: Crucial contemporary social, political, and cultural issues in mathematics assessment in the U.S.Hyman Bass: What is mathematical proficiency? Multiple perspectives - Part 1Jim Milgram, Alan Schoenfeld: What is mathematical proficiency? Multiple perspectives - Part 2Bruce Alberts: Mathematics and Science Education: Parallel National ChallengesDeborah Ball, Brandon Peoples: Live interview session (with sixth grade student)Tim Boerst, Roger Howe: Discuss and analyze the interview with student; report back in plenary; commentatorsDick Askey, Hugh Burkhardt, Linda Fisher, Jan de Lange, Bernie Madison: What mathematical proficiency is important to measure? (content, skills, and practices, broadly defined)Dick Askey, Hugh Burkhardt, Linda Fisher, Jan de Lange, Bernie Madison: What mathematical proficiency is important to measure? (content, skills, and practices, broadly defined) - Question and Answer PeriodHeidi Boley, David Foster, William McCallum, Mark Saul, Ann Shannon, Hung-Hsi Wu: Investigation of alternative approaches to assessment of different aspects of proficiency in algebraAlan Tucker: The New York State Regents examination: An analysis and responseMichèle Artigue, Dick Askey, Hugh Burkhardt, Linda Fisher/David Foster, Jan de Lange, Bernie Madison, Ann Shannon: Specific instruments and approaches for assessing mathematical proficiency: Plenary panel of workshop leadersLee Shulman: Talk: Observations midway in the conferenceRoss Green, Betsy Taleporos, Mark Wilson: Issues of reliability and validity at any scale, or with any type of assessmentPhil Daro, Lily Wong Fillmore, Judit Moschkovich: Challenges of making assessments equitable and fair: Issues of culture, language, context and experienceHeidi Boley, Elizabeth Stage, Betsy Taleporos, Uri Treisman: How can large-scale state assessment programs affect educational programs?Michèle Artigue, Heidi Boley, Bill McCallum, Robert Moses, Elizabeth Stage: Closing session: Perspectives on the workshop and next steps in an agenda related to assessmentRobert Moses: Children Left Behind: New Curricula, Large Scale Assessment and the Algebra Project

## Mathematical Neuroscience

March 15 - 19, 2004

Bard Ermentrout: Slow and Steady Wins the Game: Consequences of fast rising slowly decaying excitationJonathan Rubin: Activity Patterns in Purely Excitatory NetworksCarson Chow: Self-sustained localized neural activityDavid McLaughlin: Scale-up and the Visual CortexKen Miller: The Role of Dominant Feedforward Inhibition in Layer 4 ProcessingWilliam Troy: Bumps and Waves in a Two Dimensional Neural ModelSteve Coombes: Neural networks with space-dependent delaysDavid Golomb: A model of frequency-dependent latency in the thalamorcortical response of the rat vibrissa systemJ. Leo van Hemmen: Synchrony, pattern Formation, and the Adiabatic Principle: How Neuronal and Synaptic Dynamics Cooperate on Different Time ScalesJohn Rinzel: Subthreshold mechanisms for precise temporal processingDavid Terman: Firing Patterns in the Subthalamopallidal NetworkMarty Golubitsky: Coupled System, Gaits and SynchronyDavid Hansel: Neuronal Synchrony and the Interplay between Cellular Properties, Electrical and Inhibitory SynapsesShun-ichi Amari: How singularity affects learning and decision in neural networksPaul Bressloff: Euclidean shift-twist symmetry in nonlocal population modelsRajesh Rao: Probabilistic Computation in Neural CircuitsAdrienne Fairhall: Adaptation over many timescalesDmitri Chklovskii: Wiring of the Cortical ColumnCarl van Vreeswijk: Heterogeneity and Contrast Invariance in Primary Visual CortexNick Swindale: Coverage, Polymaps and the Visual CortexFred Wolf: Is there one brain for each of us? - Multistability and symmetry in the dynamics of cortical plasticityZhaoping Li: A saliency map in primary visual cortex

## Symplectic Geometry and Mathematical Physics

March 22 - 26, 2004

D. Salamon: Instanton Floer homology with Lagrangian boundary conditionsY. Ruan: Recent Advances in Orbifold TheoryM. Aganagic: Topological Strings and Integrable HierarchiesM. Hutchings: Embedded Contact Homology of T^3Y. Eliashberg: Subcritical manifoldsY. G. Oh: The obstruction to the A-infinity algebra and the Landau-Ginzburg superpotential: the Fano toric caseA. Givental: Quantum cobordisms and formal group lawsD. McDuff: Extensions of the Hamiltonian groupA. Kapustin: Topological strings and generalized complex geometryF. Lalonde: A natural Floer theory withoug obstructionG. Mikhalkin: Tropical JacobiansI. Smith: Symplectic geometry of the adjoint quotient, ID. Joyce: Abelian categories and stability conditionsY. Karshon: Torus actions on blowups of CP^2K. Hori: Orientifolds: An introductionW. D. Ruan: Degeneration of Kahler-Einstein manifolds and minimal Lagrangian (coisotropic) vanishing cyclesB. Siebert: Toward combinatorial curve counting via maximal degenerationsM. Gross: Affine manifolds and degenerations of Calabi-Yau manifoldsP. Ozsvath: Holomorphic disks and low-dimensional topologyRon Fintushel: Invariants for lagrangian tori in 4-manifoldsX. Liu: Genus 2 Gromov-Witten invariantsM. Usher: Lefschetz fibrations and pseudoholomorphic curvesP. Seidel: Symplectic geometry of the adjoint quotient, II

## Algorithmic, Combinatorial and Applicable Real Algebraic Geometry

April 12 - 16, 2004

Doug Lind: Dynamics and tropical varietiesFederico Ardila: Tropical linear varieties and phylogenetic treesDavid Speyer: f-Vectors of Tropical Linear SpacesThorsten Theobald: Some constrained polynomial optimization problems in nonlinear computational geometryDima Pasechnik: Univariate representations and algebraic sets over quadratic mapsJean Lasserre: A moment approach to analyze zeros of triangular polynomial mapsJames Demmel: On deciding whether a real polynomial can be evaluated accurately in rounded arithmeticEvgenia Soprunova: Lower bounds for some sparse polynomial systemsBenoit Bertrand: Upper bounds for some sparse polynomial systemsMaurice Rojas: Some New Complexity Bounds for Real FewnomialsJim Ruffo: Conjectures and Experimentation in the Real Schubert CalculusAlexandre Eremenko: Real Wrosnki mapJohn Keyser: Implementing Algebraic Routines in Exact Solid ModelingMatthias Drton: Polynomial optimization in multivariate statisticsRuchira Datta: How Many Totally Mixed Nash Equilibria Can Graphical Games HaveLuis David Garcia Puente: Algebraic Geometry Applications in Model SelectionRimas Krasauskas: Bezier curves and patches on toric surfacesDanielle Gondard-Cozette: On the number of connected components of smooth real varietiesHartwig Bosse: Semi-algebraic representations of polyhedraJesus de Loera: Real zeros of Erhart polynomialsTomas Recio: Hypercircles and UnitsFabrice Rouillier: Exact Computations and Real Roots of Polynomial SystemsSanjay Lall: Sum of squares and decentralized stochastic decision problemsGrigoriy Blekherman: There are Significantly More Nonnegative Polynomials Than Sums of SquaresMarkus Schweighofer: Barrier functions and cones of positive semidefinite formsSalma Kuhlman: On G-invariant moment problemsMonique Laurent: Moment matrices, radical ideas, and optimizationPablo Parrilo: SOS optimization: exploiting structure and a new approach

## Geometric Combinatorics

May 23 - 27, 2004

Francis Su: Lecture 1- Combinatorial ConvexityFrancis Su: Lecture 2- Set Intersections & Helly's TheoremFrancis Su: Lecture 3- Polytopes I: Examples & ConstructionFrancis Su: Lecture 4- Polytopes II: Polar DualityMichael Gage: Cross-Program Lecture- WeBWorkFrancis Su: Lecture 5- Polytopes III: Combinatorics of FacesFrancis Su: Lecture 6- Polytopes IV: Counting FacesFrancis Su: Lecture 7- Simplicial Complexes & TriangulationsFrancis Su: Lecture 8- Combinatorial Fixed Point Theorems I: Sperner's LemmaFrancis Su: Lecture 9- Combinatorial Fixed Point Theorems II: Tucker's LemmaFrancis Su: Lecture 10- Combinatorial Fixed Point Theorems III: Kneser ColoringsFrancis Su: Lcture 11- Combinatorial Fixed Point Theorems IV: TreesFrancis Su: Lecture 12- An Introduction to Phylogenetic TreesFrancis Su: Lecture 13- What is Tropical GeometryFrancis Su: Lecture 14- Minkowski's TheoremFrancis Su: Lecture 15- What are Ehrhart Polynomials?

MSRI: Fall 2003

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