NSF DMS | 2018 |
Stephen Shipman | *Asymmetry, Embedded Eigenvalues, and* Resonance for Differential Operators | $245,000 |

Hongchao Zhang | *Inexact Optimization Methods* for Structured Nonlinear Optimization | $200,000 |

Robert Lipton | *Structural Spectra and Applications to Heterogeneous Media* | $305,531 |

Pallavi Dani | *The geometry of non-positively curved groups* | $215,153 |

Pramod Achar | *Geometric Methods in Modular Representation Theory* | $254,341 |

Andrew Zimmer | *Applications of Nonpositive Curvature in Several Complex Variables* | $91,073 |

NSF-DMS | 2017 |
Richard Ng | *FRG: cQIS: Mathematical Foundations of Topological Quantum Computation and its Applications* | $318,292 |

Blaise Bourdin | *Diffusion-Driven Fracture* | $311,974 |

Aynur Bulut | *Deterministic and probabilistic well-posedness* results for nonlinear dispersive and wave equations | $44,582 |

NSF-ECCS | Michael Malisoff | *Collaborative Research: Sequential Predictors for* Partial Differential Equation and Delay Systems: Designs, Theory, and Applications | $250,000 |

Army Research | Yuri Antipov | *Rapid penetration of rigid bodies into elastic media:* the temperature, boundary and nonuniform speed effects | $92,332 |

NSF DMS | 2016 |
Jiuyi Zhu | *Quantitative and Qualitative properties* of solutions of partial differential equations | $92,859 |

Yaniv Almog | *The effect of electric currents on* superconductivity | $191,109 |

Ling Long | *The arithmetic of hypergeometric varieties* and noncongruence modular forms | $152,093 |

Xiaoliang Wan | *Nonlinear Instability of Navier-Stokes equations* from a probabilistic point of view:
Numerics and Simulations | $183,001 |

Susanne Brenner (PI)
Li-yeng Sung (Co-PI) |
*
Higher Order Variational Inequalities: Novel* Finite Element Methods and Fast Solvers
| $356,807 |

Milen Yakimov |
*Research in Noncommutative Algebra* | $258,260 |

NSF DMS (CAREER) | Shawn Walker |
*CAREER: Numerical Methods For Liquid Crystals* And Their Optimal Design | $400,000 |

Army Research | Robert Lipton | *Mathematical and Multi-Scale Foundation* of Nonlocal Modeling | $555,543 |

NSF DMS | 2015 | Stefan van Zwam | *Connectivity and Structure in Representable Matroids* | $184,686 |

Stefan van Zwam | *Can we compare sets of points efficiently?* | $29,505 |

Pramod Achar | *
Modular Representation Theory* and Geometric Langlands Duality | $191,790 |

Hongchao Zhang | *
Acceleration Techniques for Lower-Order Algorithms* in Nonlinear Optimization
| $177,771 |

Blaise Bourdin | *DMREF: Designing Microstructure for* Engineering Toughness
| $240,000 |

Dan Sage | *Flat G-Bundles, Isomonodromy, and* the Geometric Langlands Program | $172,000 |

Guoli Ding | *On structures of large graphs* | $199,999 |

NSA | Ambar Sengupta | *Geometric and Probabilistic Problems* | $79,994 |

Pramod Achar | *Modular Derived Equivalences* in Representation Theory | $33,987 |

NSF CMMI | 2014 | Michael Malisoff | *Collaborative Research: Robustness of Networked Model* Predictive Control Satisfying Critical Timing Constraints | $160,928 |

NSF ECCS | Michael Malisoff | *Collaborative Research: Designs and Theory of * State-Constrained Nonlinear Feedback Controls for Delay and Partial Differential Equation Systems | $220,000 |

NSF DMS | Richard Ng | *Hopf algebras, modular categories and their invariants* | $115,695 |

Stephen Shipman | *Resonance Phenomena in Wave Scattering* | $270,000 |

Shawn Walker |
*Numerical Analysis and Methods for Simulating* Moving Interfaces and Controlling Shape | $153,520 |

Air Force Office of Scient. Res. |
Xiaoliang Wan | *Effects of Small Noise on Conservation Laws: * Algorithms and Applications. | $177,479 |

NSA | Pramod Achar | *Modular Derived Categories* in Representation Theory | $63,624 |

NSF DMS | 2013 | Ling Long | *Noncongruence Modular Farms* and Supercongruences | $133,787 |

Oliver Dasbach | *Invariants for knots, and graphs on surfaces* | $142,234 |

Blaise Bourdin | *Variational approaches to defect mechanics
* | $163,886 |

Susanne Brenner (PI)
Li-yeng Sung (Co-PI) | *Finite Element Methods for Higher Order* Variational Inequalities
| $244,770 |

Pat Gilmer | * TQFT and Low Dimensional Topology* | $188,871 |

Milen Yakimov | *Quantum Groups and Quantum Cluster Algebras* | $164,000 |

NSF OISE | Jerome William Hoffman | *US-China Collaboration: Problems in Computational* Algebraic Geometry | $ 29,610 |

NSA | Ambar Sengupta | *Probability and Analysis in Geometric Problems* | $67,345 |

Guoli Ding | *A study of Petersen-free graphs* | $73,639 |

NSF DMS | 2012 | Karl Mahlburg | *Applications of automorphic forms* and hypergeometric q-series | $134,006 |

Pallavi Dani | *Filling invariants for groups* | $118,700 |

Shea Vela-Vick | * Contact geometry, Heegaard Floer homology and* open book decompositions | $131,615 |

Robert Lipton | *Collaborative Research: Extraction of local strain and stress* | $228,000 |

NSF DMS (REU) | Neal Stoltzfus (PI) | * REU Site in Mathematics at Louisiana State University* | $373,206 |

Air Force Office of Scient. Res. | Robert Lipton | *Innovative use of Metamaterials in Confining,*
Controlling, and Radiating Intense Microwave Pulses | $1,025,000 |

NSF ECCS | 2011 | Michael Malisoff | *Theory, Methods, and Applications of Nonlinear* Control Systems with Time Delays | $340,439 |

NSF DMS | Gestur Olafsson | *Representation Theory and Harmonic Analysis* on Homogeneous Spaces | $210,000 |

Yaniv Almog | *Critical currents in superconductors* | $160,822 |

Dan Cohen | *Random Simplicial Complexes and Associated Spaces* | $149,259 |

Shawn Walker | *Numerical Methods for Free Boundary Problems:* Two-Phase Flows and Contact Line Dynamics | $ 90,657 |

Xiaoliang Wan | *Wick-type Stochastic Modeling: Algorithms and Applications* | $100,211 |

NSA | Dan Cohen | *Random Simplicial Complexes* | $70,372 |

James Oxley | *Matroid Connectivity and Structure* | $101,648 |

Bill Hoffman | *Computational Aspects of Certain Shimura Varieties* | $91,335 |

NSF PHY | 2010 | Ricardo Estrada | *Collaborative Research: Quantum Vacuum Energy * | $216,847 |

NSF DMS | Pramod Achar | *
Derived Equivalences and Mixed Categories in* Representation Theory | $129,000 |

Susanne Brenner (PI)
Li-yeng Sung (Co-PI) |
*
Fast Interior Penalty Methods
* | $300,951 |

Guoli Ding | *Some problems in topological graph theory* | $191,745 |

Milen Yakimov | *Quantum Groups, Poisson Lie Groups, and Combinatorics* | $156,000 |

NSF DMS (CAREER) | 2008 | Scott Baldridge | *
CAREER: The topology of smooth and* symplectic 4-manifolds | $452,869 |

NSF DMS (VIGRE) | Gestur Olafsson (PI) Mark Davidson, Lawrence Smolinsky, Tara Brendle | *Louisiana State University VIGRE Proposal* | $3,745,347 |