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- | **Worked together:** 2007-Present | + | **Worked together:** 2007-Present |
**What we worked on:** Exponential asymptotics, | **What we worked on:** Exponential asymptotics, | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2012-Present | + | **Worked together:** 2012-Present |
**What we worked on:** Thin film flows on curved surfaces | **What we worked on:** Thin film flows on curved surfaces | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2013-Present | + | **Worked together:** 2013-Present |
**What we worked on:** Morphoelasticity and tissue growth on curved substrates | **What we worked on:** Morphoelasticity and tissue growth on curved substrates | ||
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[[http:// | [[http:// | ||
- | **Worked together:** 2008-2012 | + | **Worked together:** 2008-2012 |
**What we worked on:** Free-surface flows, boundary integral methods, ship waves | **What we worked on:** Free-surface flows, boundary integral methods, ship waves | ||
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[[http:// | [[http:// | ||
- | **Worked together:** 2013-Present | + | **Worked together:** 2013-Present |
**What we worked on:** Elastocapillary dynamics and wrinkling of thin membranes | **What we worked on:** Elastocapillary dynamics and wrinkling of thin membranes | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2011-Present | + | **Worked together:** 2011-Present |
**What we worked on:** Interactions between thin free-surface flows and elastic structures | **What we worked on:** Interactions between thin free-surface flows and elastic structures | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2010-2012 | + | **Worked together:** 2010-2012 |
**What we worked on:** Singularities in fluid mechanics, the moving contact line problem | **What we worked on:** Singularities in fluid mechanics, the moving contact line problem | ||
< | < | ||
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==== Prof. Howard A. Stone ==== | ==== Prof. Howard A. Stone ==== | ||
{{ : | {{ : | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2010-Present | + | **Worked together:** 2010-Present |
**What we worked on:** Viscous flows, free-surfaces interacting with elastic structures, thin film flows on curved surfaces | **What we worked on:** Viscous flows, free-surfaces interacting with elastic structures, thin film flows on curved surfaces | ||
< | < | ||
+ | |||
==== Prof. Thomas P. Witelski ==== | ==== Prof. Thomas P. Witelski ==== | ||
{{ : | {{ : | ||
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[[http:// | [[http:// | ||
- | **Worked together:** 2010-2011, 2013-Present | + | **Worked together:** 2010-2011, 2013-Present |
**What we worked on:** Rupturing processes in thin films and solids, singular perturbation theory | **What we worked on:** Rupturing processes in thin films and solids, singular perturbation theory | ||
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[[http:// | [[http:// | ||
- | **Worked together:** 2005-2007 | + | **Worked together:** 2005-2007 |
**What we worked on:** Nonlinear waves, Korteweg-de Vries equations, sloshing, perturbation theory | **What we worked on:** Nonlinear waves, Korteweg-de Vries equations, sloshing, perturbation theory | ||
< | < | ||
- | ==== Dr. Colin B. Macdonald ==== | + | ==== Prof. Colin B. Macdonald ==== |
{{ : | {{ : | ||
Department of Mathematics \\ | Department of Mathematics \\ | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2012-Present | + | **Worked together:** 2012-Present |
**What we worked on:** Thin film flows on curved surfaces; the Closest Point Method | **What we worked on:** Thin film flows on curved surfaces; the Closest Point Method | ||
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[[http:// | [[http:// | ||
- | **Worked together:** 2002-2004 | + | **Worked together:** 2002-2004 |
**What we worked on:** Mathematical genomics | **What we worked on:** Mathematical genomics | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2013-2014 | + | **Worked together:** 2013-2014 |
**What we worked on:** Localized spot patterns on the surface of the sphere | **What we worked on:** Localized spot patterns on the surface of the sphere | ||
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[[http:// | [[http:// | ||
- | **Worked together:** 2010-2012 | + | **Worked together:** 2010-2012 |
**What we worked on:** Singularities in fluid mechanics, the moving contact line problem | **What we worked on:** Singularities in fluid mechanics, the moving contact line problem | ||
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University of Oxford {{: | University of Oxford {{: | ||
- | **Worked together:** 2013-2014 | + | **Worked together:** 2013-2014 |
- | + | **What we worked on:** (MMath) Multiple scales and discrete difference equations | |
- | **What we worked on:** (MMath) Multiple scales and discrete difference equations | + | |
**Now working at:** D.Phil. Engineering at the University of Oxford | **Now working at:** D.Phil. Engineering at the University of Oxford | ||
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University of Oxford {{: | University of Oxford {{: | ||
- | **Worked together:** 2014--2015 | + | **Worked together:** 2014--2015 |
- | + | **What we worked on:** (M.Sc.) The multi-dimensional method of steepest descents | |
- | **What we worked on:** (M.Sc.) The multi-dimensional method of steepest descents | + | |
**Now working at:** Frontier Developments, | **Now working at:** Frontier Developments, | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2012-Present | + | **Worked together:** 2012-Present |
**What we worked on:** (Ph.D.) Thin films on curved surfaces, fluid instabilities | **What we worked on:** (Ph.D.) Thin films on curved surfaces, fluid instabilities | ||
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[[https:// | [[https:// | ||
- | **Worked together:** 2011-2012 | + | **Worked together:** 2011-2012 |
**What we worked on:** Deformation of fibres due to viscous flows in Hele-Shaw cells | **What we worked on:** Deformation of fibres due to viscous flows in Hele-Shaw cells | ||
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University of Oxford {{: | University of Oxford {{: | ||
- | **Worked together:** 2014--2015 | + | **Worked together:** 2014--2015 |
**What we worked on:** (MMath) Models for thin film flow on curved surfaces | **What we worked on:** (MMath) Models for thin film flow on curved surfaces | ||
< | < | ||
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==== Daniel Wu ==== | ==== Daniel Wu ==== | ||
{{ : | {{ : | ||
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Princeton University {{: | Princeton University {{: | ||
- | **Worked together:** 2011-2012 | + | **Worked together:** 2011-2012 |
**What we worked on:** Applications of functional analysis to applied mathematics, | **What we worked on:** Applications of functional analysis to applied mathematics, | ||