Current Research Projects


Research areas
Faculty research interests
Research Highlights



Current Research Projects



Axenovich, M. & R. Martin
Extremal Problems on Hereditary Properties and Partitions of Combinatorial Structures
2009 - 2012

This project investigates problems in graph theory. One major theme is the investigation of hereditary graph properties from the view of editing a network. The main question is how much editing needs to be done so that a forbidden configuration is eliminated. A related theme is that of unavoidable configurations, more commonly known as Ramsey-type problems. In this project, we hope to understand the behavior of large networks.

Bergman, C. with D. Jacobson, B. Licklider, J. Wiersma and J. Wong
SFS Scholarships for Information Assurance Students
National Science Foundation
2009 – 2012

Evans, J.W. & M.S. Gordon; co-PI’s: K. Ruedenberg, T. Windus
Ames Laboratory Chemical Physics Program
USDOE Basic Energy Sciences – Chemical Sciences Division
2010 -2013

Evans, J.W. (with PI: M. Pruski; CoPI’s: A. Bakac, A. Saddow, J. Vela)
Selective and Efficient Catalysis in 3D Controlled Environments
USDOE Basic Energy Sciences, Division of Chemical Sciences
2010 - 2013

Evans, J.W. with PI P.A. Thiel
Formation and Stability of Supported Metal Nanostructures (CHE-1111500)
NSF Chemistry Division: Chemical Dynamics Program
2011 - 2014

Evans, J.W. & M.S. Gordon
Theoretical and Computational Tools for Modeling of Energy-Relevant Catalysis
USDOE BES Chemical Sciences
2009 - 2013

Keinert, F. & N. Vaswani
Recursive Robust Principal Components Analysis (PCA)
National Science Foundation
2011 - 2014

Given an overcomplete set of vectors (the dictionary) and a given vector (the data set), the goal of Principal Components Analysis is to find the sparsest linear combination of dictionary elements which approximately represents the data set. Essentially, this is data compression.

This grant aims to develop new algorithms for the case where there is a sequence of data sets which change slowly over time, such as frames in a video. The correlation between frames will be used to both remove sparse outliers (robustness) and reduce computation time by using the results from previous steps (recursiveness).  Key potential applications include automatic foreground extraction from similar looking backgrounds in video; sensor networks based detection and tracking of abnormal events such as forest fires; online detection of brain activation patterns from functional MRI sequences; or speech/audio extraction from large but correlated background noise.

Kliemann, W.
Course Development and Scaling Planning, Gates Foundation through Association of Public and Landgrant Universities

Kliemann, W. & L. Hogben, J. Peters
REU Site: Mathematics and Computing Research Experiences for Undergraduates at Iowa State University
National Science Foundation
2008 - 2013

Kliemann, W. & U. Genschel, with Co-PIs A. Carriquiry, B. Dougherty, and E. Johnston
GSE/RES: Exploring the STEM Gender Gap: Introductory College Mathematics and Statistics Instruction and its Association with Self-Efficacy
National Science Foundation
2011 - 2013

Liu, H..
Recovery of High Frequency Wave Fields, Kenitic Theory of Photons and Entropy Satisfying Methods

Liu, H..
KI-net: Kinetic description of emergeng challenges in multiscale problems of natural science
NSF Research Network in Mathematical Sciences

Liu, H..
SQuaREs: Gaussian beam superposition method for high frequency wave propagation

Liu, H..
Geometrically based kinetic approach to multi-scale problems

Liu, H..
Kinetic description of multiscale phenomena: Modeling, theory and computation
NSF FRG Collaborative Research Grant

Long, L.
Modular Forms for Noncongruence Subgroups
NSF Algebra, number theory, and combinatorics

Lueke, G. & J. Coyle
Various projects in high performance computing
Cray, Inc.

Lueke, G.
UPC-CHECK follow up projects
Oak Ridge National Labs

Lutz, J. H., E.R. Henderson, J.I. Lathrop, and R.R. Lutz
Robust Molecular Programming: Advances in the Design and Verification of Reliable Self-Assembling Nanosystems
National Science Foundation

Ng, S-H.
Hopf algebras, Frobenius-Schur indicators and modular categories
NSF Algebra, number theory, and combinatorics

Poon, Y.T.
Mathematical Aspect of Quantum Information Science
National Science Foundation
2010 - 2013

This project is to study mathematical problems arising in quantum information science. The aim is to develop theoretical and computational techniques to study problems including the construction of error correction codes for quantum channels with general noise, existence of quantum operations connecting prescribed quantum states, and the best approximation of quantum states by existing ones.

Poon, Y.T. with N.S Sze of Hong Kong Polytechnic University
Entanglement in Quantum Information Science
Hong Kong Research Grants Council
2010 - 2014

The aim of this project is to study problems related to quantum entanglement, explore new separability criteria as well as improve and generalize some of those existing separability criteria. The investigators will collaborate with experimentalists and practitioners so that the research team will focus on important and useful problems. The long term goal is to provide simple, practical, and computational tools to experimentalists and develop new mathematical techniques with wide applicability in quantum entanglement.

Rothmayer, A. & H. Hu
Icing Physics Studies Pertinent to Wind Turbine Icing and De/Anti-icing
National Science Foundation
2011 – 2013

ISU is engaged in experiments, CFD simulations and perturbation methods modeling of surface roughness on a growing ice sheet that is accreting onto a wing surface. The primary focus is the instability of the ice sheet that leads to small surface roughness, as well as the interaction of that roughness with water transport along the ice sheet. The primary application is wind turbine icing, though the research is also relevant to aircraft and power line icing.

Rothmayer, A. & H. Hu
Theoretical and Experimental Development for Dynamic Roughness Applied to Boundary Layer Control for Small Unmanned Aerial Vehicles
AFOSR DOD Phase II STTR (subcontract from Physical Sciences Inc.)
2009 – 2011

ISU is engaged in experimental, numerical and mathematical modeling of rapidly oscillating rigid surface roughness. The goal is to design and build a surface film with embedded unsteady micro-scale geometry that can be applied to an aerodynamic surface and actuated to control the flow about that surface. CFD, experiments and perturbation methods modeling all show that unsteady micro-actuation of an airfoil surface can be used to suppress flow separation. In principle, such a device can be used to design super-maneuverable aircraft, decrease aircraft take-off and landing distances and improve overall flight performance of small and micro-scale aircraft.

Rothmayer, A.
Dynamic Roughness Smart Skins for Aerodynamic Flow Control
National Aeronautics and Space Administration/NASA EPSCoR contract (subcontract from West Virginia University)
2009 – 2012

ISU is developing mathematical models to examine the interaction between flexible oscillating dynamic surface roughness and Tollmien-Schlichting waves. Rigid and flexible-wall triple-deck models for uniformly and spatially distributed 2D and 3D compliant walls are being developed to examine the unsteady response of a flexible dynamic roughness coating.

Tesfatsion, L. (with W. Gutowski, Jr., K. Franz, J. Goodwin, C. Rehmann, W. Simpkins and A. Wanamaker)
Water and Climate Change (WACC):  Building Community Consensus for a Sustainable Future for Iowa and the World
ISU LAS Special Research Initiative (SRI) grant

Tesfatsion, L.
Market Design for Energy, Ancillary and Reliability Services in Wholesale Electric Power Market
Sandia Project (Ancillary Services/Storage Resources/Sandia National Laboratory (SNL)
2011 – annual contract

Tesfatsion, L. & D. Aliprantis
Integrated Retail and Wholesale Power System Operation with Smart-Grid Functionality
EPRC Project (Integrated Retail/Wholesale Power Systems/ Electric Power Research Center (EPRC)
2010 – 2013

Tesfatsion, L.
A Test Bed for the Integrated Experimental Study of Retail and Wholesale Power Market Designs
PNNL Project (Integrated Retail/Wholesale Power Markets/Pacific Northwest National Laboratory/Battelle
2009 - 2012

Tesfatsion, L.
Financial and Operational Risk Management in Restructured Wholesale Power Markets
EPRC Project (Risk Management in Electric Power Systems/Electric Power Research Center (EPRC)
2009 - 2012

Yan, J.
Local’ and ‘Direct’ discontinuous Galerkin Methods: New Algorithms and Applications
National Science Foundation
2009 - 2012.