

Centre de recherches mathematiques
Fields Institute
Pacific Institute for the Mathematical Sciences

April
6, 2011 
4:00 p.m.
2011 CRMFieldsPIMS Prize Lecture
MARK LEWIS,
University of Alberta
at the Fields Institute, 222 College St., Toronto (map)

The Mathematics Behind Biological
Invasion Processes
Models for invasions track the front of an expanding wave
of population density. They take the form of parabolic partial
differential equations and related integral formulations.
These models can be used to address questions ranging from
the rate of spread of introduced invaders and diseases to
the ability of vegetation to shift in response to climate
change.
In this talk I will focus on scientific questions that
have led to new mathematics and on mathematics that have
led to new biological insights. I will investigate the mathematical
and empirical basis for multispecies invasions, for accelerating
invasion waves, and for nonlinear stochastic interactions
that can determine spread rates.
Audio
& Slides of the Talk
The Directors of the three Institutes, CRM, Fields and
PIMS, are pleased to announce that Mark Lewis from the University
of Alberta is the recipient of the 2011 CRMFieldsPIMS
Prize. Mark Lewis holds a Canada Research Chair in Mathematical
Biology, and is the Director of the Centre for Mathematical
Biology at the University of Alberta. His research involves
mathematical modeling of biological processes, and is an
example of the best interplay of science and mathematics,
where ideas from each lead to advances in the other.
Mark Lewis's work develops techniques in stochastic processes,
dynamical systems and partial differential equations and
has led to significant advances, for example, in modeling
territorial pattern formation in wolf populations, predicting
population spread in biological invasions like the West
Nile virus, and assessing the effect of habitat fragmentation
on species survival.
The entire mathematical sciences community is invited to
attend Mark Lewis's prize lecture at either the CRM, the
Fields Institute or PIMS in 2011. The dates of the lectures
will be announced shortly.


From left to right:
Prof. Peter Russell (Director, CRM),
Prof. Alejandro Adem (Director, PIMS),
Prof. Mark Lewis (CRMFieldPIMS Award recipient),
Prof. Edward Bierstone (Director, Fields Institute)

Previous recipients of the prize are H.S.M.
(Donald) Coxeter, George A. Elliott, James Arthur, Robert
V. Moody, Stephen A. Cook, Israel Michael Sigal, William T.
Tutte, John B. Friedlander, John McKay, Edwin Perkins, Donald
A. Dawson, David Boyd, Nicole TomczakJaegermann, Joel Feldman,
Allan Borodin, Marton Barlow and Gordon Slade.
Established in 1994, the CRMFields Prize recognizes exceptional
research in the mathematical sciences. In 2005, PIMS became
an equal partner in the prize, and the name was changed to
the CRMFieldsPIMS Prize. A committee appointed by the three
institutes chooses the recipient.
The CRMFieldsPIMS prize is intended to be
the premier mathematics prize in Canada. The winner receive
a monetary award, and an invitation to present a lecture at
each institute during the semester when the award is announced.
The prize recognizes exceptional achievement in the mathematical
sciences.
To learn more about the prize, please visit www.fields.utoronto.ca/programs/scientific/crmfieldspims/
CRMFieldsPIMS
Prize  Call for Nominations

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