


RESEARCH INTERESTS


Bioinformatics & Computational Biology:
 Computational methods and wetlab protocols in microarray gene expression studies;
 Biostatistics of proteomic biomarker development;
 Clinically and biologically motivated strategies for temporal stratification of expression data and their integration with insilico inferences of transcription factor binding sites;
 Insilico analysis of RNA and ssDNA secondary structure formation, as determinants of transcript stabilities and mutations, respectively;
 Hidden Markov Models and Normal Mode Analysis.
Other areas of active professional interest:
 Geostatistics, spatial modelling and pattern classification in ecology and geochemistry;
 Modelling frameworks for the integrated assessment of geochemical cycles and human economic activities.




My interests lie in developing models of infectious disease pathogenesis inhost
(mathematical immunology). I am also interested in mathematical epidemiology. My past
work has centred on HIV and measles infections, but has since expanded to include such
infectious diseases as influenza, Hepatitis C virus, Hepatitis B virus, Herpes Simplex
Virus, and Human Papilloma Virus. Mathematically, my expertise lies in the areas of
ordinary differential equations, partial differential equations, dynamical systems, monte
carlo simulations and the basic reproductive ratio. Currently, I have collaborations with
mathematical modelers and public health officials in Canada, US and UK.




My research is in scientific computing and
numerical methods for PDEs. In particular, I have interested in developing and analysing numerical methods for solving incompressible
flow problems with moving interfaces and corner singularities. Other interests: Mathematical Modeling and Industry Mathematics.
I am interested in developing mathematical models for problems from engineering applications and from industry, in the
areas of fluid mechanics, mutilcomponent mass transport, mathematical biology, and optimization. Examples include stenosed
arteries, glass microelectrodes, PEM fuel cells, mining excavators, etc..




My research interests include both probability and statistics. In particular, I have
worked on problems in interacting particle systems, empirical processes, nonparametric
and shapeconstrained inference. My most recent work looks at statistical inference in
boundary and set estimation.




My research interests include Stochastic Processes and Mathematical Finance,
Numerical Analysis, Special Functions and Scientific Computing. My interests in Stochastic Processes include first passage problems for diffusions and Levy processes,
obtaining closed form expressions and developing efficient numerical methods for computing various functionals of Stochastic Processes (such as
extrema, overshoot, etc.). In the area of Mathematical Finance I am mostly interested in
developing analytically solvable models and efficient numerical algorithms for pricing options and interest rate derivatives.
I am also interested in Special Functions, in particular in their asymptotic expansions,
series representation and numerical approximations.




My research is in probability theory and its applications, as well as in different areas of applied mathematics. I have worked on the general theory of random walks and Monte Carlo methods, as well on problems arising from statistical mechanics, computer science, and mathematical models in biology.
I am particularly interested in selfavoiding walks and related models. These arose in the physics literature,
originally as models of large polymer molecules, and later as analogues of other statistical mechanical models
such as the Ising model. The selfavoiding walk is simply a path on a lattice that does not visit the same site more
than once. Proving things about the collection of all such paths is a formidable challenge to rigorous mathematical
methods. Besides rigorous analysis, I also work on Monte Carlo methods for the study of such models.




I am interested in the consequences of the Standard Model of particle physics for fewbody nuclear systems
and lowenergy particle physics and dynamics. Recent research has focussed on the QCD, the theory of the strong interactions,
using the techniques of chiral perturbation theory and various versions of QCD sum rules to study weak strong and electromagnetic observables.




My research is in multivariate statistics. I am interested in developping the theory of
continuous or discrete graphical models, especially as considered in a Bayesian
framework. The problems I consider are often concerned with inference for large
dimensional complex data sets. The theory is geared to making applications and
computations more reliable and efficient.


Buks van Rensburg 

I work in Statistical Mechanics of random lattice structures such as the selfavoiding walk, lattice trees and animals.
I have done research on the numerical simulation of these models, using Monte Carlo techniques, as well as
using the methods of rigorous statistical mechanics to prove the existence of limiting free energies and the occurance of phase transitions in these models. A second part of my work involves random knotting and linking. I have worked on knots and links of lattice knots, the thickness of C1 knots, and knotting in
interacting models of ring polymers.




My interests are probability theory and mathematical finance,
particularly: Brownian motion, Markov processes, conditioning, superprocesses, and actuarial finance.




My research interests lie in geodynamics and
remote sensing. Earlier in my
career I investigated the dynamics of the Earth's core, in particular the
role of the Inner Core in influencing Earth rotation. In recent years I
have developed interests in Synthetic Aperture Radar and Global
Positioning Systems.




I work in atmospheric boundary
layer studies using a range of numerical models and conducting field programs. Recent work has focussed on blowing dust
(on Mars) and snow (on Earth), including Arctic field studies such as STAR (Storm Studies in the Arctic).
I am a member of the Canadian science team for the NASA/CSA Phoenix Mars lander, which operated successfully
on Mars May  Nov 2008. I have led work on the laboratory characterization of the atmospheric
thermocouples used in the mission and on studies related to ice sample collection as well as models
of dust and dust devils in the boundary layer. I am also interested in renewable energy research,
I am a Principal Investigator for the OQnet project involving a network of VHF wind profilers in
Ontario and Quebec and I have conducted extensive research on lake effects on the meteorology of southern Ontario.


Walter Whiteley 

My research is in discrete applied geometry and associated combinatorics. My areas of work include:
 the combinatorial and geometric study of the rigidity of discrete build structures such as frameworks, as well as more general studies of geometric structures constrained by incidence, distance, direction and other constraints as in Computer Aided Design programming, and Computer Aided Geometric Design;
 algorithms for protein rigidity and firstorder flexibility and related studies of constraints from NMR and Xray crystallography for proteins and related biochemical molecules and complexes ;
 visual learning and visual reasoning, in the practice of mathematics and in mathematics teaching and learning.


Jianhong Wu 

I have been working in a program involving nonlinear dynamics and nonlinear analysis,
mainly in association with the qualitative theory and numerical analysis of delay differential
equations arising from population biology and neural networks. My recent work of
clustering and pattern recognition via a neural network approach ranges from pure
research in dynamical systems (global attractor and domains of attractions of stable
patterns), from code and software development (including interface) to real life applications,
and includes industrial collaboration with Generation 5 Data Modeling and Statistical
Analysis Inc. and CRESTech. I am also working in the geometric theory of delay
differential equations; in partial differential equations arising from population dynamics with
spatial diffusion and time delay; and in equivariant degree theory with applications to
bifurcations with symmetry.


Huaiping Zhu 

My research interests include:
 Differential Equations and Dynamical Systems Bifurcation theory and applications, polynomial systems and Hilbert's 16th problem
 Modeling and Analysis in Ecology and Epidemiology (topological degrees, index theory, equivariant bifurcation and global bifurcation theory);
 Mathematical Biology Population dynamics, Spatial dispersal, Metapopulation dynamics, Longterm behavior of interacting biological species Dynamical transmission of mosquitoborne disease (Malaria, West Nile Virus)



