Mathematics : Funded grants in the past 3 years

• Wave-breaking and Resonant Phenomena, National Science Foundation, DMS-0707488, 2007/09-2012/08     
• 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     
• James B. Duke Fellowship, 2007/08-2011/05     
• James B. Duke Fellowship, 2006/09-2011/05     
• Multiscale Integrative Immunology for Adjuvant Multiscale Integrative Immunology for Adjuvant Development, National Institutes of Health, N01-AI-50019, 2005/10-2010/10  [web]    
• Geometric Analysis, Wave Optics, and Geometric Gravity, National Science Foundation, DMS-0707003, 2007/09-2010/09     
• Modeling Fluid Dynamics and Solute Transport in Modeling Fluid Dynamics and Solute Transport in the Kidney, National Science Foundation, 2007/08-2010/07     
• Topology and motives associated to moduli spaces of curves, NSF, DMS-0706955, 2007/08-2010/07     
• 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     
• ONR BAA 07-001, ONR, N000140710625, 2007/04-2010/06     
• Geometric Modeling OF and Function Approximation ON High Dimensional, Multi-Modal Data Sets, Office of Naval Research, N00014-07-1-0625, 2007/02-2010/03     
• Mathematical Models of Renal Dynamics, NIH, 2006/03-2010/02  [web]    
• Analysis of Mechanisms of Biochemical Homeostasis, NSF, 0616710, 2006/09-2009/09     
• Analysis of Mechanisms of Biochemical Homeostasis, NSF, DMS-061670, 2006/09-2009/08     
• NSF Graduate Research Fellowship, National Science Foundation, 2006/08-2009/08     
• Border-collision bifurcations in cardiac tissue, 2006/08-2009/08     
• CAREER: Stochastic analysis and numerics in partial differential equations and extended dynamical systems, NSF, 2004/07-2009/07     
• The Robert Noyce Fellows at Duke University, National Science Foundation, DUE-0531966, 2005/10-2009/05     
• Howard Hughes Fellowship, 2007/06-2009/05     
• James B. Duke Fellowship, Duke University Graduate School, 2005/09-2009/05     
• James B. Duke Fellowship, 2005/09-2009/05     
• PREDICTING REAL OPTIMIZED MATERIALS: TAILORING MOLECULAR POTENTIALS TO DISCOVER OPTIMUM MOLECULES, DARPA (white paper), 2004/05-2009/04     
• Modeling Folate, One-carbon Metabolism and DNA Methylation, NIH, NCI-R01-CA105437-01, 2005/01-2009/01     
• Topological Methods for the Analysis of High-dimensional Data Sets and 3D Object Recognition, DARPA, 2005/01-2008/12     
• Positive mass, singularities, and supersymmetry, NSF, 2005/07-2008/07     
• Diffusion Multiscale Analysis, NSF DMS, 0650413, 2006/08-2008/06     
• Diffusion Multiscale Analysis, National Science Foundation, DMS-0650413, 2006/08-2008/06     
• Algebraic Geometry and Quantum Field Theory of D-Brane, National Science Foundation, DMS-0606578, 2006/07-2008/06     
• Geometry from Physics: Calabi-Yau spaces and the positive mass conjecture, NSF, DMS-0505767, 2005/07-2008/06     
• Cohomology of Locally Symmetric Spaces and Applications to Number Theory, National Science Foundation, DMS-05-02821, 2005/07-2008/06     
• Efficient Numerical Methods for Viscous Incompressible Flows, National Science Foundation, DMS0512176, 2005/07-2008/06     
• A Conference on Applications of Analysis to Mathematical Biology, National Science Foundation, 2007/05-2008/04     
• LANL Subcontract, DOE, 12885-001-05, 2005/04-2008/03  [web]    
• Geometry and Chow groups of projective varieties, NSA, H98230-06-1-0009, 2006/01-2008/01     
• STTR Phase I: Representation and Visualization of Plant Genotypic, Phenotypic,and Environmental Relationships, NSF IIP, 0637869, 2007/01-2007/12     
• Perfect sampling for high dimensional integration, NSF, CAREER: DMS-05-48153, 2006/01-2007/12     
• Subcontract for L.A.C.O.S.T.E. Program, 2006/08-2007/12     
• Conference on Applications of Analysis to Mathematical Biology, Arts & Sciences Committee on Faculty Research, 2006/11-2007/09     
• Sloan Fellowship, 2005/09-2007/09     
• Extension to June 2008 of NSF Grant, National Science Foundation, DMS-0533551 (DMS-0206483 before transfered to Duke), 2002/09-2007/09     
• Collaborative Research: The Mathematics of Stochastic Gravitational Lensing -- Applications to Flux Ratio Anomalies and Dark Matter, National Science Foundation, AST-0434277/AST-0433809, 2004/09-2007/08     
• From rationalization to design: Employing theory to map and to exploit the richness of "molecular space", NSF (white paper), 2004/09-2007/08     
• Hyperacuity in the Auditory System, National Science Foundation, 2001/08-2007/08     
• Genomic Approaches to Identify Genes for Root System Architecture Traits, NSF DBI, 0606873, 2006/08-2007/07     
• Conferece on Applications of Analysis to Mathematical Biology, Arts and Sciences Committee on Faculty Research, 2006/11-2007/07     
• The Geometry of Partial Differential Equations, NSF, Proposal No. 0604195, 2006/07-2007/06     
• NSF Graduate Support Supplement, National Science Foundation, DMS-0539136, 2006/06-2007/06     
• Supplement to "Computational Methods for Singular..." for graduate student support, N. S. F., DMS-0404765-001, 2005/07-2007/06     
• Computational Methods for Singular and Nearly Singular Integrals with Applications to Fluid Dynamics, N.S.F., 2004/07-2007/06     
• Hodge Theory, Galois Theory and the Topology of Moduli Spaces, National Science Foundation, DMS-0405440, 2004/07-2007/06  [web]    
• ADVANCE Fellows Award: Mathematical modeling of renal physiology, National Science Foundation, 2004/04-2007/06     
• D-Brane Physics and Calabi-Yau Geometry, National Science Foundation, 2003/06-2007/05     
• Jump Start Grant, Center for Instructional Technology, 2006/07-2007/04     
• Conference on Recent Advances in Nonlinear Partial Differential Equations, National Science Foundation, DMS-0621292, 2006/05-2007/04     
• with Engineering, National Institutes of Health, 1R01-HL-72831-01, 2003/05-2007/04     
• Reference structure tomography for ubiquitous and efficient human tracking and identification, Army Research Office, 2003/09-2006/12     
• Microstates to Macrodynamics: A New Mathematics of Biology, Princeton University, Princeton Univ. Sub. #1-P3836564, 2005/09-2006/09     
• FRG - Collaborative Research: New Challenges in the Dynamics of Thin Flims & Fluid Interfaces, National Science Foundation, DMS-02-44498, 2003/09-2006/08     
• Diffusion Multiscale Analysis, National Science Foundation, DMS 0501250, 2005/07-2006/07     
• Arts and Sciences Committee on Faculty Research, 2005/07-2006/06     
• FRG- Collaborative Research: Physical, Mathematical and Engineering Problems in Slow Granular Flow, National Science Foundation, FRG-02-44492, 2003/07-2006/06     
• Random Gaussian Curvatures, Image Centroids, and Caustic Surfaces in Gravitational Lensing, National Science Foundation, DMS-0302812, 2003/07-2006/06     
• Riemann-Hilbert Problem & Integrable Systems, National Science Foundation, DMS-03-00844, 2003/07-2006/06     
• SBIR: Advanced Computer-Aided Inspection Research, NIST Advanced Technology Program, 2003/07-2006/06     
• Nonlinear Waves in Uniform and Periodic Media, National Science Foundation, DMS-0207262, 2002/07-2006/06     
• D-Brane Physics and Calabi-Yau Geometry, National Science Foundation, DMS-03-01476, 2003/06-2006/05     
• Chow groups of projective varieties, NSF, 2002/06-2006/05     
• Quadratic Forms, Automorphic Forms, and Hilbert's Eleventh Problem, National Security Agency, NSA-H98230-04-1-0076, 2004/02-2006/02     
• 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