Recent externally funded projects:
- 2020-2025 NSF-DMS: RTG: Research Training in Applied Mathematics at Columbia University
- 2019-2023 NSF-DMREF: Complex Nanofeatures in Crystals: Theory and Experiment Meet in the Cloud
- 2018-2020 Columbia DSI: A Game-Theoretical Framework for Modeling Strategic Interactions Between Autonomous and Human-Driven Vehicles
- 2017-2020 NSF DMS: Numerical Analysis of SPH Type Methods via Nonlocal Models
- 2017-2020 NSF CCF (TRIPODS): From Foundations to Practice of Data Science and Back
- 2016-2017 Columbia SIRS: Data-driven Multiscale Poromechanics: Bridging Scales and Physics through Graph-based Machine Learning with Uncertainty Quantification
- 2015-2018 NSF-DMREF: Deblurring our View of Atomic Arrangements in Complex Materials for Advanced Technologies
- 2015-2020 ARO-MURI Fractional Order Methods for Sharp Interface Flows
- 2015-2018 DARPA EQUIPS: Foundations of Rigorous Mathematics for Uncertainty Quantification in Large Systems at the Extreme Scale
- 2015-2016 AFRL-STTR, Data Infrastructure for Materials Genome with Innovation and Certification (DiMAGIC)
- 2014-2019 AFOSR-MURI center for Material Failure Prediction through Peridynamics
- 2013-2016 NSF-DMS, Algorithms and computation for rare events in complex systems
- 2010-2013 DOE-ASC, Mathematical and numerical analysis of peridynamics for multiscale problems in solids
- 2010-2013 NSF-IIP, I/UCRC CGI: Center for Computational Materials Design (CCMD), Phase II
- 2010-2013 NSF-DMS, Mathematical and computational studies of interfaces and defects
- 2009-2010 SANDIA LAB, Mathematical and Numerical Analysis of Peridynamic Models
- 2009-2011 DOE-CES, A Global, Multi-Resolution Approach to Regional Ocean Modeling
- 2007-2011 NIH-NCI, Multiscale modeling of leukocyte-tumor cell adhesion to endothelium in shear flow
- 2007-2010 NSF-DMS, Analysis and Computation of some model problems in interface and defect dynamics
- 2004-2007 NSF-CCF, CAMLET: a combined ab-initio and manifold learning toolbox
- 2004-2007 NSF-DMS, Analysis and Computation of problems in physical science
- 2002-2007 NSF-DMR, Multiscale multicomponent computational tools for material simulations
- 2002-2004 NSF-DMS, Scientific computing research environments for mathematical sciences
- 2001-2004 NSF-DMS, Algorithms and computations for problems in material sciences
- 2000-2003 NSF-CCR, Centroidal Voronoi tessellations, algorithms and applications