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Workshop Geometric Combinatorics
Show Schedules
- Lecture 3- Polytopes I: Examples & Construction
- Lecture 4- Polytopes II: Polar Duality
- Lecture 5- Polytopes III: Combinatorics of Faces
- Lecture 6- Polytopes IV: Counting Faces
- Lecture 7- Simplicial Complexes & Triangulations
- Lecture 8- Combinatorial Fixed Point Theorems I: Sperner's Lemma
- Lecture 9- Combinatorial Fixed Point Theorems II: Tucker's Lemma
- Lecture 10- Combinatorial Fixed Point Theorems III: Kneser Colorings
- Lcture 11- Combinatorial Fixed Point Theorems IV: Trees
- Lecture 12- An Introduction to Phylogenetic Trees
- Lecture 13- What is Tropical Geometry
- Lecture 14- Minkowski's Theorem
- Lecture 15- What are Ehrhart Polynomials?
- Francis Su: Lecture 1- Combinatorial Convexity
- Michael Gage: Cross-Program Lecture - WeBWork
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Workshop Algorithmic, Combinatorial and Applicable Real Algebraic Geometry
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- Pablo Parrilo: SOS optimization: exploiting structure and a new approach
- Douglas Lind: Dynamics and tropical varieties
- Federico Ardila: Tropical linear varieties and phylogenetic trees
- David Speyer: f-Vectors of tropical Linear Spaces
- Thorsten Theobald: Some constrianed polynomial optimization problems in nonlinear computational geometry
- Univariate representations and algebraic sets oveer quadratic maps
- Jean Lasserre: A moment approach to analyze zeros of triangular polynomial maps
- Hypercircles and Units
- James Demmel: Deciding whether a real polynomial can be evaluated accurately in rounded arithmetic
- Evgenia Soprunova: Lower bounds for some sparse ploynomial systems
- Benoit Bertrand: Upper bounds of some sparse polynomial systems
- J. Maurice Rojas: Some New Complexity Bounds for Real Fewnomials
- James Ruffo: Conjectures and Experimentation in the Real Schubert Calculus
- Alexandre Eremenko: Real Wrosnki map
- John Keyser: Implementing Algebraic Routines in Exact Solid Modeling
- Mathias Drton: Polynomial optimization in multivariate statistics
- Ruchira Datta: How Many Totally Mixed Nash Equilibria Can Graphical Games Have?
- Luis David Garcia Puente: Algebraic Geometry Applications in Model Selection
- Rimvydas Krasauskas: Bezier curves and patches on toric surfaces
- Danielle GONDARD-COZETTE: On the number of connected components of smooth real varieties
- Hartwig Bosse: Semi-algebraic representations of polyhedra
- Jesus De Loera: Real zeros of Erhart polynomials
- Fabrice Rouillier: Exact Computations and Real Roots of Polynomial Systems
- Sanjay Lall: Sum of squares and decentralized stochastic decision problems
- Grigoriy Blekherman: There are Significantly More Nonnegative Polynomials Than Sums of Squares
- Markus Schweighofer: Barrier functions and cones of positive semidefinite forms
- Salma Kuhlmann: On G-invariant moment problems
- Monique Laurent: moment matrices, radical ideas, and optimization
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Workshop Symplectic Geometry and Mathematical Physics
Show Schedules
- Invariants for lagrangian tori in 4-manifolds
- Holomorphic disks and low-dimensional topology
- Orientifolds: An introduction
- Torus actions on blowups of CP^2
- Tropical Jacobians
- Subcritical manifolds
- Embedded Contact Homology of T^3
- Topological Strings and Integrable Hierarchies
- Dietmar Salamon: Instantion Floer homology with Largragian boundary conditions
- Yongbin Ruan: Recent Advances in Orbifold Theory
- The obstruction to the A-infinity algebra and the Landau-Ginzburg superpotential: the Fano toric case
- Alexander Givental: Quantum cobordism and fromal group laws
- Dusa McDuff: Extensions of the Hamiltonian group
- Anton Kapustin: Topological strings and generalized complex geometry
- François Lalonde: A natural Floer theory without obstruction
- Ivan Smith: Symplectic geometry of the adjoint quotient, I
- Dominic Joyce: Abelian categories and stability conditions
- Bernd Siebert: Toward combinatorial curve counting via maximal degenerations
- Mark Gross: Affine manifolds and degenerations of Calabi-Yau manifolds
- Xiaobo Liu: Genus 2 Gromov-Witten invariants
- Michael Usher: Lefschetz fibrations and pseudoholomorphic curves
- Paul Seidel: Symplectic geometry of the adjoint quotient, II
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Workshop Mathematical Neuroscience
Show Schedules
- Bard Ermentrout: Slow and Steady Wins the Game: Consequences of fast rising slowly decaying excitation
- Jonathan Rubin: Activity Patterns in Purely Excitatory Networks
- Carson Chow: Self-sustained localized neural activity
- David McLaughlin: Scale-up and the Visual Cortex
- Kenneth Miller: The Role of Dominant Feedforward Inhibition in Layer 4 Processsing
- Tanya Baker: Bumps and Waves in a Two Dimensional Neural Model
- Stephen Coombes: Neural networks with space-dependent delays
- David Golomb: A model of frequency-dependent latency in the thalamocortical response of the rat vibrissa system
- Leo van Hemmen: Synchrony, Pattern Formation, and the Adiabatic Principle: How Neuronal and Synaptic Dynamics Cooperate on Diffent Time Scales
- John Rinzel: Subthreshold mechanisms for precise temporal processing
- David Terman: Firing Patterns in the Subthalamopallidal Network
- Martin Golubitsky: Coupled Systems, Gaits, and Synchrony
- David Hansel: Neuronal Synchrony and the Interplay between Cellular Properties, Electrical and Inhibitory Synapses
- Shun-ichi Amari: How singularity affects learning and decision in neural networks
- Paul Bressloff: Euclidean shift-twist symmetry in nonlocal population models
- Rajesh Rao: Probabilistic Computation in Neural Circuits
- Adrienne Fairhall: Adaptation over many timescales
- Dmitri Chklovskii: Wiring of the Cortical Column
- Carl van Vreeswijk: Heterogeneity and Contrast Invariance in Primary Visual Cortex
- Nicholas Swindale: Coverage, Polymaps and the Visual Cortex
- Fred Wolf: Is there one brain for each of us? - Multistability and symmetry in the dynamics of cortical plasticity
- Zhaoping Li: A salienccy map in primary visual cortex
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Workshop Assessing Students’ Mathematics Learning: Issues, Costs and Benefits
Show Schedules
- Children Left Behind: New Curricula, Large Scale Assessment and the Algebra Project
- Closing session: Perspectives on the workshop and next steps in an agenda related to assessment
- How can large-scale state assessment programs affect educational programs?
- Challenges of making assessments equitable and fair: Issues of culture, language, context and experience
- Discuss and analyze the interview with student; report back in plenary; commentators
- What is mathematical proficiency? Multiple perspectives - Part 1
- Crucial contemporary social, political, and cultural issues in mathematics assessment in the U.S.
- A Private Universe (54-sec. clip) Welcome, overview and purposes of workshop
- Deborah Ball, David Eisenbud: Opening Session
- Jim Lewis: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 1)
- Jim Lewis: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 2)
- Alan Schoenfeld: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 1)
- Alan Schoenfeld: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 2)
- Robert Moses: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 1)
- Robert Moses, Judith Ramaley: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 2)
- Judith Ramaley: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 1)
- Susan Sclafani: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 2)
- Tim Boerst, Susan Sclafani: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 1)
- Tim Boerst: Crucial Contemporary Social, Political and Cultural Issues in Mathematics Assessment in the U.S. (part 2)
- Richard (James) Milgram: What is Mathematical Proficiency? (part 2)
- Hyman Bass: What is Mathematical Proficiency?
- Hyman Bass: What is Mathematical Proficiency? (part 2)
- Hyman Bass: What is Mathematical Proficiency?
- Richard (James) Milgram, Alan Schoenfeld: What is Mathematical Proficiency?
- Alan Schoenfeld: What is Mathematical Proficiency? (part 2)
- Bruce Alberts: Mathematics and Science Education: Parallel National Challenges.
- Deborah Ball: Live Interview Session with 6th Grade Student.
- Hugh Burkhardt, Bernard Madison: What Mathematical Proficiency is Important to Measure?
- Richard Askey: What Mathematical Proficiency is Important to Measure? (part 2)
- Richard Askey: What Mathematical Proficiency is Important to Measure?
- Bernard Madison: What Mathematical Proficiency is Important to Measure? (part 2)
- Jan de Lange: What Mathematical Proficiency is Important to Measure? (part 2)
- Hugh Burkhardt, Linda Fisher: What Mathematical Proficiency is Important to Measure? (part 2)
- Jan de Lange, Linda Fisher: What Mathematical Proficiency is Important to Measure?
- Heidi Boley, David Foster, William McCallum, Ann Shannon, Hung-Hsi Wu: Investigation of Alternative Approaches to Assessment of Different Aspects of Proficiency in Algebra.
- Finbarr Sloane, Alan Tucker: The New York State Regents Examination: An Analysis and Response.
- Michèle Artigue, Richard Askey, Hugh Burkhardt, Jan de Lange, Linda Fisher, David Foster, Bernard Madison, Ann Shannon: Specific Instruments and Approaches for Assessing Mathematical Proficiency.
- Lee Shulman: Observations Midway in the Conference.
- Ross Green, Elizabeth Taleporos, Mark Wilson: Issues of Reliability and Validity at Any Scale, or with Any Type of Assessment.
- Philip Daro, Lily Fillmore, Judit Moschkovich: Challenges of Making Assessments Equitable and Fair: Issues of Culture, Language, Context and Experience.
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Workshop Topology and Geometry of Real Algebraic Varieties
Show Schedules
- Boris Shapiro: Real analogs of Hurwitz numbers
- S. Friedland: Applications of topology and geometry to matrices
- Patrick Gilmer: Arf-invariants of links and congruences for real algebraic curves
- The geometry of real space curves
- Polygon spaces
- Geometry of lagrangian submanifolds
- Eugenii Shustin: A tropical computation of the Weischinger invariant
- Ilia Itenberg: Topology of real tropical varieties
- Henry King: Isotoping submanifolds to subvarieties
- Real Lefschetz pencils and genus bounds for membranes
- Jean-Yves Welschinger: Spinor states of real rational curves in real algebraic convex 3-manifolds and enumeratice invariants
- Grigory Mikhalkin: Topology and Geometry of Real Algebraic Varieties
- A weight filtration for real algebraic varieties
- Dmitry Novikov: Convex-concave hypersurfaces in real projective spaces
- Igor Kalinin: Cohomology characteristics of real algebraic varieties
- Maxim Kazarian: On several classical enumerative problems in algebraic geometry
- Stepan Orevkov: On braid monodromy monoid
- Real Fano 3-folds
- Real alegebraic morphisms on 2-dimensional conic bundles
- Timur Sadykov: The amoeba of a discriminant
- Joost van Hamel: Galois equivariant intersection homology
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Workshop Genetics of Complex Disease
Show Schedules
- Elizabeth Thompson: Detecting Genes from Data on Related Individuals
- Mark Segal: Sequence-based Prediction of HIV-1 Replication Capacity
- Fred Wright: Mapping Tumor Suppressor Genes Using Loss of Heterozygosity
- Sandrine Dudoit: Resampling-based multiple testing procedures: Applications to microarray data analysis
- Earl Hubbell: Alleles, entropy, and locations: Which SNPs do you put on a chip?
- Robert Tibshirani: Sample classification from protein mass spectroscopy by peak probability contrasts
- Normalization Methods of cDNA Microarray Experiments under Different Designs
- Cheng Li: Analysis of oligonucleotide SNP array data
- Karl Broman: Gene mapping in model organisms
- Fengzhu Sun: Haplotype Block Parition and its applications to association studies
- A Statistical Sampling Algorithm for RNA Secondary Structure Prediction
- Eleanor Feingold: Efficient simulation of p-values for linkage analysis
- Hao Li: Genomic Reconstruction of Yeast Transcription Networks
- Andrew Neuwald: Obtaining evolutionary clues to protein structural mechanisms
- Chiara Sabatti: Dictionary models for regulatory regions in DNA and gene expression arrays
- Association Testing with Mendel
- Richard Karp: Combinatorial Approaches to the Haplotype Phasing Problem
- Matthew Stephens: Identifying recombination hotspots from LD in the human genome
- Finding genes associated with multiple sclerosis
- Joe Gray: Genetic complexity in cancer
- Adam Olshen: Change-point methods for the analysis of array-based DNA copy number data
- Warren Ewens: Thoughts on the TDT
- Thomas Quertermous: Microarray profiling to identify vascular wall genes for association based candidate gene studies of atherosclerosis: genomics meets genetics
- Eddy Rubin: Comparing Genomes to Study Disease
- Novel Multivariate Analysis Methods for Genomic Analysis
- Art Owen: A Gene Recommender for C. elegans
- David Siegmund: Mapping QTL in the presence of gene-covariate
- Wing Wong: An approach to obtain tight clusters
- Benjamin Yakir: A probabilistic framework for the statistics of selective sampling
- Statistical Methods for Analysis of Microarray Time Course Gene Expression Data
- Hua Tang: Inference of Ancestry for Admixed Groups
- Stefan Bekiranov: Mapping of Transcription Factor Sites along Human Chromosones 21 and 22 Using Genome Tiling Arrays
- Algebraic Statistical Genetics: Linkage Analysis
- Josee Dupuis: Identification of polymorphisms that explain a linkage peak
- Tree-structured Supervied Learning and the Genetics of Hypertension
- Heping Zhang: Linkage Analysis of Longitudinal Data and Study Design Considerations