NSF DMS  2023 
Pramod Achar (PI), Pallavi Dani, Gestur Olafsson, Shea Vela Vick, Anton Zeitlin 
RTG: Topology, Representation Theory, and Mathematical Physics at Louisiana State University 
$2,496,082 
Gene Kopp 
Modular Cocycles, Explicit Class Field Theory, and Quantum Designs 
$219,228 
FangTing Tu 
The Arithmetic Properties of Modular Forms and Hypergeometric Systems 
$164,633 
Hongchao Zhang 
Acceleration, Complexity and Implementation of Active Set Methods for Largescale Sparse Nonlinear Optimization 
$236,770 
Arnab Ganguly 
Learning Complex Stochastic Systems 
$200,000 
Michael Malisoff 
Collaborative Research: Designs and Theory for Interval Contractors and Reference Governors with Aerospace Applications 
$210,000 
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 
Bill 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 