Mathematics Faculty: Funded grants in the past 3 years

• Gene Expression Programs of Lactic Acidosis in Human Cancers, National Institutes of Health, R01 CA125618-01, 2006/12-2111/11     
• EMSW21-RTG: Geometric, Topological and Statistical Methods for Analyzing Massive Datasets, National Science Foundation, DMS-1045153, 2011/08-2016/07     
• Bioinformatics and Computational Biology Training Program, National Institutes of Health, 5T32-GM071340-05, 2005/07-2016/06     
• Geometry of vector bundles and moduli spaces of instantons, National Science and Engineering Research Council (NSERC) Discovery Grant, 2011/04-2016/04     
• Biochronicity: Time, Evolution Networks, Defense Advanced Research Projects Agency, 2011/12-2015/12     
• Inferring Network Controls from Topology Using the CHomP Database, Air Force Office of Scientific Research, FA9550-10-1-0436, 2010/09-2015/09     
• EMSW21-RTG: Enhanced Training and Recruitment in Mathematical Biology., National Science Foundation, 0943760, 2010/09-2015/08     
• Modeling Solute Transport and Urine Concentrating Mechanism in the Rat Kidney, National Institutes of Health, 2010/08-2015/07     
• EMSW21-RTG: Enhanced Training and Recruitment in Mathematical Biology,, National Science Foundation, 2010/07-2015/07     
• EMSW21-RTG: Enhanced Training and Recruitment in Mathematical Biology, 2010/07-2015/06     
• Combinatorics in geometry and algebra with applications to the natural sciences, National Science Foundation, DMS-1001437, 2010/07-2015/06     
• A Rigorous Statistical Framework for the Mathematics of Sensing, Exploitation and Execution, Defense Advanced Research Projects Agency, 2011/11-2014/11     
• EMSW21-RTG: Enhanced Training and Recruitment in Mathematical Biology, National Science Foundation, DMS-0943760, 2010/09-2014/08     
• Methods for Pathway Analysis with Applications to Folate Metabolism, NIH, 04-438-7793, 2010/09-2014/08     
• Theoretical Principles of Genotype-Phenotype Mapping, National Science Foundation, EF-1038593, 2010/09-2014/08     
• CAREER: Symplectic Field Theory and Low-Dimensional Topology, National Science Foundation, 0846346, 2009/09-2014/08     
• Mathematical Models of Cancer Initiation Progression and Reistance to Therapy, National Institutes of Health, 7R01GM096190-02, 2010/07-2014/06     
• CAREER: Multiscale methods for high-dimensional data, graphs and dynamical systems, National Science Foundation, DMS-0847388, 2009/07-2014/06     
• Knowledge Enhanced Exapixel Photography, Defense Advanced Research Projects Agency, N66001-11-1-4002, 2010/11-2013/11     
• Designing Networks that are Capable of Self-Healing and Adapting, Defense Threat Reduction Agency, 2010/11-2013/11     
• Banting Postdoctoral Fellowship, Natural Sciences and Engineering Research Council of Canada, 2011/10-2013/09     
• A Multidimensional Imaging Platform to Analyze Crop Root System Dynamics in Response to Changing Environments, Department of Agriculture, 2011-67012-30773, 2011/09-2013/08     
• AMC-SS: Analysis of Fluctuations for PDEs with Random Coefficients, National Science Foundation, DMS-1007572, 2010/09-2013/08  [web]    
• Asymptotic Hodge Theory and Instantons, National Science Foundation, DMS-1005761, 2010/09-2013/08     
• AMS Simons Travel Grant, Simons Foundation, 2011/08-2013/07     
• Ecology, Evolution, and Random Graphs, National Science Foundation, DMS-1057675, 2010/09-2013/07     
• 2010 - 2013: Scalar Curvature, the Penrose Conjecture, and the Axioms of General Relativity, National Science Foundation, DMS-1007063, 2010/07-2013/06  [web]    
• Applications of Topology to Arithmetic and Algebraic Geometry, National Science Foundation, DMS-1005675, 2010/07-2013/06     
• Mathematical Model of Vascular and Tubular Transport in the Rat Outer Medulla, National Institutes of Health, 2009/07-2013/06     
• Multiscale geometry for the analysis of high dimensional datasets, Washington State University, 113054 G002745, 2010/05-2013/05     
• FRG: Collaborative Research: Dynamics of Thin Liquid Films: Mathematics and Experiments, NSF #0968252, 2010/06-2013/05     
• Multiscale geometry for the analysis of high dimensional datasets, Department of Energy, Yet to be assigned, 2010/03-2013/03     
• NeTS: Small: Collaborative Research: Online Social Networks: Measurement and Characterization Methodologies, National Science Foundation, IIS-0916855, 2009/09-2012/08     
• GEPR: Genome-wide analysis of root traits, National Science Foundation, NSF-DBI-0820624, 2008/09-2012/08     
• Wave-breaking and Resonant Phenomena, National Science Foundation, DMS-0707488, 2007/09-2012/08     
• Mathematical Foundations of Multiscale Graph Representations and Interactive Learning, National Science Foundation, CCF-0808847, 2008/05-2012/07     
• mTOR Therapy in Prostate Cancer: Signatures of Response and Biology of Resistance, National Institutes of Health, R01 CA123175-01, 2007/09-2012/07     
• AMS-Simons Travel Grant, 2011/07-2012/07     
• Efficient Numerical Methods for Viscous Incompressible Flows, National Science Foundation, 1011738, 2009/07-2012/06     
• Numerical Methods for Moving Interfaces in Fluids, N.S.F., DMS-0806482, 2008/07-2012/06     
• Duke Center for Systems Biology, 2007/07-2012/06     
• Duke Systems Biology Center Grant, National Institutes of Health, P50 GM 081883, 2007/07-2012/06     
• Duke Center for Systems Biology, NIH, 2007/07-2012/06     
• Data Acquisition, Processing and Modeling of Morphogenesis in 4D, NSF, 0714796, 2006/07-2012/06     
• FRG: Collaborative Proposal: Stochastics and Dynamics: Asymptotic Problems, National Science Foundation, DMS-0854879, 2009/06-2012/05     
• Biochronicity: Time, Network, Evolution and Function, Defense Advanced Research Projects Agency, D12AP00001, 2011/11-2012/04     
• A simple perspective on Bond-order invariants, St. Jerome's University Faculty Research Grant, 2011/05-2012/04     
• Nahm transform of spatially periodic instantons and asymptotic Hodge theory, St. Jerome's Faculty Research Grant, 2011/05-2012/04     
• Bridge Lecture Series, CMS Endowment, 2011/01-2011/12     
• Collaborative Proposal: CDI-Type I: A multidisciplinary, multiscale approach to discover organizing principles in macromolecular dynamics and functions, National Science Foundation, NSF-CHE-0835712, 2008/10-2011/09     
• Predictive Biology: Adaptability, Robustness and the Fundamental Laws of Biology, Princeton University, 00001744, 2009/09-2011/09     
• Duke on Network Security, Air Force Office of Scientific Research, FA9550-10-1-0465, 2010/09-2011/08     
• Collaborative Research: Learning Multiscale Representations Using Harmonic Analysis on Graphs, National Science Foundation, IIS-0803293, 2008/09-2011/08     
• Geometric Analysis, Wave Optics, and Geometric Gravity, National Science Foundation, DMS-0707003, 2007/09-2011/08     
• Modeling Fluid Dynamics and Solute Transport in Modeling Fluid Dynamics and Solute Transport in the Kidney, National Science Foundation, 2007/08-2011/07     
• Workshop on Fluid Motion Driven by Immersed Structures: Analysis, Computation, and Applications, National Science Foundation, 2010/08-2011/07     
• NSF OISE, National Science Foundation, 0964985, 2010/07-2011/07     
• Efficient numerical methods for viscous incompressible flows, National Science Foundation, DMS11177, 2008/07-2011/06     
• Periodic instantons and geometry of vector bundles, St. Jerome's University Faculty Research Grant, 2010/05-2011/04     
• Mathematical Foundations of Multiscale Graph Representations and Interactive Learning, National Science Foundation, NSF-0808847-001, 2009/05-2011/04     
• Mathematical Foundations of Multiscale Graph Representations and Interactive Learning, National Science Foundation, 2008/05-2011/04     
• Park City Mathematics Institute, Princeton University, 7451-2302 & 7451-2310, 2010/04-2011/03     
• FAN 2010: Conference on Fluid dynamics, Analysis and Numerics, National Science Foundation, 2010/04-2011/03     
• Triangle Lectures in Combinatorics, National Science Foundation, DMS-1000130, 2010/03-2011/03  [web]    
• Mathematical Models of Renal Dynamics, NIH, 2006/03-2011/02  [web]    
• Dynamic Sensor Networks-Enabling the Measurement, Modeling, and Prediction of Biophysical Change in a Landscape (Supplement), National Science Foundation, CNS-0540347, 2006/06-2010/12     
• Dynamic Sensor Networks-Enabling the Measurement, Modeling, and Prediction of Biophysical Change in a Landscape, National Science Foundation, CNS-0540347, 2006/01-2010/12     
• Dynamic Sensor Networks-Enabling the Measurement, Modeling, and Prediction of Biophysical Change in a Landscape, National Science Foundation, CNS-0540347-002, 2006/01-2010/12     
• Microstates to Macrodynamics: A New Mathematics of Biology, Princeton University, 00001107-9, 2005/09-2010/10     
• Multiscale Integrative Immunology for Adjuvant Multiscale Integrative Immunology for Adjuvant Development, National Institutes of Health, N01-AI-50019, 2005/10-2010/10  [web]    
• Sloan Research Fellowship, Alfred P. Sloan Foundation, BR-4834, 2008/09-2010/09     
• Collaborative Research: Probabilistic models and geometry for high dimensional data, NSF DMS, DMS-0732260, 2007/01-2010/08     
• Doctoral Program in Management and Analysis of Large Data Acquired from Sensors, Department of Education, P200A070505, 2007/08-2010/08     
• Bioinformatics and Computational Biology Training Program, National Institutes of Health, 5T32-GM071340-05S1, 2009/08-2010/08     
• Chow Groups, Geometry and Arithmetic of Projective Varieties, NSA, H98230-08-1-0027, 2008/01-2010/07     
• Topology and motives associated to moduli spaces of curves, National Science Foundation, DMS-0706955, 2007/08-2010/07  [web]    
• 2007 - 2010: Geometric Analysis Applied to General Relativity, National Science Foundation, DMS-0706794, 2007/07-2010/06     
• Holomorphic Curves and Low-Dimensional Topology, National Science Foundation, DMS-0706777, 2007/07-2010/06     
• Geometric Modeling OF and Function Approximation ON High Dimensional, Multi-Modal Data Sets, ONR, N000140710625, 2007/04-2010/06     
• Microstates to Macrodynamics: A New Mathematics of Biology, Princeton University, 00001107-007, 2005/09-2009/10     
• Analysis of Mechanisms of Biochemical Homeostasis, NSF, DMS-061670, 2006/09-2009/09     
• Analysis of Mechanisms of Biochemical Homeostasis, NSF, DMS-061670, 2006/09-2009/08     
• Analysis of Mechanisms of Biochemical Homeostasis, National Science Foundation, DMS-061670, 2006/09-2009/08     
• Border-Collision Bifurcations in Cardiac Muscle, National Science Foundation, PHY-0549259, 2006/09-2009/08     
• Collaborative Research: The Mathematics of Stochastic Gravitational Lensing -- Applications to Flux Ratio Anomalies and Dark Matter, National Science Foundation, AST-0434277/AST-0433809, 2004/09-2009/08     
• CEER grant to explore ethical, legal, and social issues in genomics, NIH NHGRI, P50 HG 03391-03, 2004/09-2009/07     
• CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, NSF, 2004/07-2009/07     
• International conference on hyperbolic problems: theory, numerics and applications, National Science Foundation, DMS-0742260, 2008/07-2009/06     
• International conference on hyperbolic problems: theory, numerics and applications, Office of Naval Research, N-000140810386, 2008/07-2009/06     
• International conference on hyperbolic problems: theory, numerics and applications, Air Force Office of Scientific Research, FA-9500810082, 2008/07-2009/06     
• Mathematical Model of Vascular and Tubular Transport in the Rat Outer Medulla, National Institutes of Health, 2008/07-2009/06     
• Riemann-Hilbert Problem & Integrable Systems, National Science Foundation, DMS-0602344, 2006/07-2009/06     
• Cohomology of Locally Symmetric Spaces and Applications to Number Theory, National Science Foundation, DMS-05-02821, 2005/07-2009/06     
• The Robert Noyce Fellows at Duke University, National Science Foundation, DUE-0531966, 2005/10-2009/05     
• PREDICTING REAL OPTIMIZED MATERIALS: TAILORING MOLECULAR POTENTIALS TO DISCOVER OPTIMUM MOLECULES, DARPA (white paper), 2004/05-2009/04     
• LANL Subcontract, DOE, 12885-001-05, 2005/04-2009/03  [web]    
• Modeling Folate, One-carbon Metabolism and DNA Methylation, NIH, NCI-R01-CA105437-01, 2005/01-2009/01     
• Visitinig Member, Institut Universitaire de France, 2004/05     
• CAREER Award, NSF, 2003/09  [web]    
• Bound states, singularities, and supersymmetry, NSF, 2002/07     
• Chow groups of smooth projective varieties, NSF, 1999/05