Faculty Member 
Research Interests 
Link 
Akbar, Mohammad 
General theory of relativity, differential geometry, quantum gravity, Ricci flow. 

Ammann, Larry P. 
Robust multivariate statistical methods, signal processing, statistical computing, applied probability, remote sensing. 

Arnold, Maxim 
Asymptotic dynamics of large ensembles of particles, switching Hamiltonian systems, fluid dynamics. 

Arreche, Carlos 
Differential Algebraic Geometry, Symbolic Computation, Algebraic Theory of Differential and Difference Equations, Galois Theories. 

Balanov, Zalman I. 
Nonlinear analysis (equivariant degree), dynamical systems with symmetries (bifurcation theory), mathematical theory of hysteresis, nonassociative algebras. 

Biswas, Swati 
Biostatistics, Statistical Genetics, Genetic Epidemiology, Cancer Genetics, Risk Prediction Models, Bayesian Clinical Trials. 

Cao, Yan 
Medical image analysis, computational anatomy, computer vision, pattern theory, shape analysis and shape models. 

Chen, Min 
Genome wide association studies; eQTL mapping; Network based modeling; Next generation sequencing data analysis; Statistical preprocessing of genomic data; Cancer genetics/epigenetics; Integrative/meta analysis; Spatial modeling; Model selection; Ranked set sampling. 

Chiou, Sy Han 
Survival analysis, semiparametrics statistics, biostatistics, statistical computing, applications to Neurology, Public Health, and the Environment. 

Choudhary, Pankaj 
Biostatistical inference, Statistical methodology, Method comparison studies. 

Coskunuzer, Baris 
Minimal Surfaces, Geometric Topology. 

Dabkowski, Mieczyslaw K. 
Knot invariants and 3manifold invariants, applications of topology to biology, recursion theory. 

Dragovic, Vladimir 
Integrable Dynamical Systems with applications to Classical and Statistical Mechanics., Algebraic Geometry, Differential Geometry, Analysis on Riemann Surfaces, Extremal Polynomials, Isomonodromy Deformations, Painleve and Schlesinger Equations. 

Efromovich, Sam 
Information theory, optimization, probability, statistical inference, nonparametric curve estimation, time series analysis. 

Gel, Yulia 
Time series analysis, spatiotemporal processes, regularization for weakly dependent data, highdimensional inference, statistical inference for random graphs and networks, nonparametrics, bootstrap and resampling. Applications of statistics to environmental modeling, epidemiology, finance and legal studies. 

Hooshyar, M. Ali 
Scattering theory, inverse scattering theory with geophysical and optical applications, fission. 

Krawcewicz, Wieslaw Z 
Topological methods in nonlinear analysis, symmetric differential equations and bifurcation problems. 

Li, Qiwei 
The development of novel spatial models for the analysis of geospatial and imaging data, such as tumor pathology images; The development of Bayesian methodology with variable selection techniques for integrative analysis of highdimensional data, such as RNASeq and microbiome count data 

Lou, Yifei 
Compressive sensing and its applications, Image analysis (medical imaging, hyperspectral, imaging through turbulence), numerical analysis and optimization algorithms. 

Makarenkov, Oleg 
Nonsmooth dynamical systems, Moreau’s sweeping processes, dispersing billiards, switching closedloop control: oscillations, stability, bifurcations, regularization. Nonmonotone population models. 

McKeown, Stephen 
Conformal differential geometry, interactions with physics (e.g. the AdS/CFT correspondence), geometric elliptic PDEs with multiple singularities. 

Minkoff, Susan 
Scientific computing with primary emphasis to date on numerical modeling for geoscience problems (seismic imaging and wave propagation, reservoir simulation, and mechanical deformation modeling). Mathematics and numerical simulation to model the “realworld” as closely as possible given limitations in physics, mathematics, and computer science. Broad interests include not only earth science, but almost all physical, chemical and biological problems that can benefit from the skills and insights of an applied mathematician. 

Ohsawa, Tomoki 
Applications of differential geometry to problems in physics and engineering, particularly those problems described as Hamiltonian dynamical systems in a broad sense. They include semiclassical and quantum dynamics, nonholonomic dynamics, and optimal control theory. 

Pereira, Felipe 
Mathematical modeling and numerical simulation of multiphase flows in porous media at the field, laboratory, and pore scales; Uncertainty quantification methods for applications related to CO2 storage, oil recovery, and contaminant transport; Pore network construction algorithms; Numerical methods for partial differential equations; High performance, parallel, scientific computing. 

Rachinskiy, Dmitry 
Dynamical systems and systems with hysteresis, nonlinear analysis, applied mathematical modeling 

Ramakrishna, Viswanath 
Control, optimization, computation, applications in material and molecular sciences. 

Shin, Sunyoung 
Statistical learning, High dimensional data analysis, Variable selection, Semiparametric models, Survival data analysis, Statistical genomics, Bioinformatics, Big data integration, Epigenomics, Sequencing data analysis 

Tang, ChuanFa 
Orderrestricted inference, empirical processes, empirical likelihood, survival analysis, mathematical statistics, image processing, kernel smoothing, model selection 

Tran, Anh 
Quantum Topology and Knot Theory. I am particularly interested in the Jones polynomial, skein modules, character varieties, the Apolynomial, the Alexander polynomial, and leftorderability of fundamental groups. 

Turi, Janos 
Functional differential equations, integral equations, approximation theory, optimal control theory, numerical analysis, applied functional analysis. 

Van Ness, John 
Robust linear models, statistical classification, multivariate analysis, applications of statistics to the physical and medical sciences. 

Williams, Nathan 
Algebraic combinatorics arising within reflection groups, geometric group theory, and representation theory. 

Zweck, John 
Nonlinear waves; Scientific Computing; Modeling, analysis, and simulation of engineering systems; Applications of differential geometry. 
