| 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 |
| Fang-Ting Tu |
The Arithmetic Properties of Modular Forms and Hypergeometric Systems |
$164,633 |
| Hongchao Zhang |
Acceleration, Complexity and Implementation of Active Set Methods for Large-scale 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 |
Sheaf-Theoretic Methods in Modular Representation Theory |
$240,000 |
| Christin Bibby |
Topology and combinatorics of arrangements |
$186,130 |
Susanne Brenner (PI)
Li-yeng Sung (Co-PI) |
Finite Element Methods for Elliptic Least-Squares 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 Event-Triggered 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)
Li-yeng Sung (Co-PI) |
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 Vela-Vick |
Interactions Between Contact Geometry, Floer Theory and Low-Dimensional 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 Photo-Adaptive Meta-Atoms |
$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 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 OIA |
Jiuyi Zhu |
RII Track-4: Uniqueness and Quantitative Uniqueness of Solutions to Partial Differential Equations |
$166,612 |
| 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 |
Bill 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 |