| 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 | 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 |