NSF DMS  2022 
Rui Han  CAREER: Schrödinger Operators on Lattices  $464,836 
Pramod Achar  SheafTheoretic Methods in Modular Representation Theory  $240,000 
Christin Bibby  Topology and combinatorics of arrangements  $186,130 
Susanne Brenner (PI)
Liyeng Sung (CoPI) 
Finite Element Methods for Elliptic LeastSquares Problems with Inequality Constraints
 $361,251 
Kevin Schreve  Homological Growth of Groups and Aspherical Manifolds  $178,599 
Stephen Shipman  Phenomena of Periodic Layered Media  $264,000 
Anton Zeitlin  Quantum Integrable Systems and Geometry  $257,168 
Jiuyi Zhu  Quantitative Studies of Solutions of Partial Differential Equations  $207,931 
Naval Research 
Michael Malisoff  Interval Observers for Enhanced Shipboard Landing and Formation Control for Naval Aircraft  
NSF DMS  2021 
Andrei Tarfulea

Diffusive Regularization in Kinetic and Fluid Equations
 $198,664 
Hongchao Zhang

Optimization Methods for Nonconvex Structured Optimization
 $150,000 
Shawn Walker

Controlling Geometry: Applications in Physics, Biology, and Manifold Learning
 $330,002 
NSF DMS  2020 
Michael Malisoff  Collaborative Research: Designs and Theory for EventTriggered Control with Marine Robotic Applications  $278,032 
Andrew Zimmer

CAREER: Intrinsic and Extrinsic Conditions in Several Complex Variables
 $400,000 
Rui Han

Discrete Schrodinger Operators and Related Models
 $51,713 
NSF DMS  2019 
Susanne Brenner (PI)
Liyeng Sung (CoPI) 
Novel Finite Element Methods for Elliptic Distributed Optimal Control Problems
 $262,254 
Arnab Ganguly

Complex Stochastic Systems and the Effect of Discretization
 $206,822 
Shea VelaVick

Interactions Between Contact Geometry, Floer Theory and LowDimensional Topology
 $295,645 
Xiaoliang Wan

Efficient Algorithms Related to and Beyond the Large Deviation Technique
 $195,768 
Andrei Tarfulea

Bounds and Asymptotic Dynamics for Nonlinear Evolution Equations
 $73,026 
NSF CMMI 
Robert Lipton

DMREF/Collaborative Research: Designing Mutable Metamaterials with PhotoAdaptive MetaAtoms
 $399,761 
Army Research 
Robert Lipton

MURI: Predicting and Controlling the response of Particulate Systems through Grain Scale Engineering
 $983,125 
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 nonpositively 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 OIA 
Jiuyi Zhu  RII Track4: Uniqueness and Quantitative Uniqueness of Solutions to Partial Differential Equations  $166,612 
NSFDMS  2017 
Richard Ng  FRG: cQIS: Mathematical Foundations of Topological Quantum Computation and its Applications  $318,292 
Blaise Bourdin  DiffusionDriven Fracture  $311,974 
Aynur Bulut  Deterministic and probabilistic wellposedness results for nonlinear dispersive and wave equations  $44,582 
NSFECCS  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 NavierStokes equations from a probabilistic point of view:
Numerics and Simulations  $183,001 
Susanne Brenner (PI)
Liyeng Sung (CoPI) 
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 MultiScale 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 LowerOrder Algorithms in Nonlinear Optimization
 $177,771 
Blaise Bourdin  DMREF: Designing Microstructure for Engineering Toughness
 $240,000 
Dan Sage  Flat GBundles, 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 StateConstrained 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)
Liyeng Sung (CoPI)  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  USChina Collaboration: Problems in Computational Algebraic Geometry  $ 29,610 
NSA  Ambar Sengupta  Probability and Analysis in Geometric Problems  $67,345 
Guoli Ding  A study of Petersenfree graphs  $73,639 
NSF DMS  2012  Karl Mahlburg  Applications of automorphic forms and hypergeometric qseries  $134,006 
Pallavi Dani  Filling invariants for groups  $118,700 
Shea VelaVick  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: TwoPhase Flows and Contact Line Dynamics  $ 90,657 
Xiaoliang Wan  Wicktype 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)
Liyeng Sung (CoPI) 
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 4manifolds  $452,869 
NSF DMS (VIGRE)  Gestur Olafsson (PI) Mark Davidson, Lawrence Smolinsky, Tara Brendle  Louisiana State University VIGRE Proposal  $3,745,347 