I am interested in various areas of Geometry and Analysis. I am currently studying Lie Integrals , which are logarithms of certain multiplicative integrals. For those familiar with the Baker- Campbell-Haussdorf formula, the Lie integral provides a generalisation of this result. There is a (non-abelian) Stokes' theorem for Lie Integrals and one can prove generalisations of such results as the Gauss-Bonnet Theorem.
I am studying the geometry of the Lie integral and its Stokes' Theorem. I am particularly interested in the case of nilpotent Lie algebras as they play a fundamental role in sub-Riemannian geometry. I am thinking about the problem of determining the conditions on curvature and torsion that characterize a closed space curve (less trivial than it sounds.)
For 17 years I taught with UBC's Science One Program , a first year course that provides a solid introduction to Mathematics, Physics, Chemistry and Biology. This team-taught program in the Faculty of Science at UBC is in its twenty-first year and is a great experience for both the faculty and the students.
I am the Academic Director for UBC's Jump Start Program, which is an academic transition program for new international and Aboriginal students. It has proven success in helping to increase retention rates and to improve academic performance. We are in the midst of expanding this program to include on-going support for these students' the first year.
I am involved in writing children's books to encourage interest in mathematics amongst Aboriginal children. This is a project with Veselin Jungic at SFU called Math Catcher: Mathematics Through Aboriginal Storytelling. There are some wonderful animations done from the illustrations for these books. There are versions in a number of First Nations languages, including Blackfoot, Cree, Squamish, and Halq'eméylem, Sliammon, Nisgaa, Heiltsuk, and Huu-ay-aht.
I am the Vice President of the UBC Faculty Association.
I enjoy cooking. This picture is taken in Eneida's kitchen in LaBarra, Colombia. Of course, Eneida is a wonderful cook herself.
Here is a picture taken at Parque Tayrona, which is on the Caribbean coast of Colombia.
Last updated: 29 January 2014
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