Ian M. Anderson joined the Department of Mathematics at Utah State University in 1979. Since then he has held visiting positions at the Univ. of Minnesota, Univ. of Utah, Univ. of Washington, Univ. of North Carolina and the Univ. of Montreal. His field of research is differential geometry and its applications to mathematical physics and differential equations. Specific areas of expertise include the inverse problem of the calculus of variations, variational bicomplexes, symmetric methods in general relativity, symmetry reduction of differential equations and variational principles, exterior differential systems theory and solution generating techniques for differential equations. He is the author or co-author of more that 40 journal articles and conference proceedings and author of the DifferentialGeometry software package, part of the Maple distributed library. This research has been supported regularly by grants from the National Science Foundation. Professor Anderson is frequently an invited speaker at international differential geometry conferences and workshops. Professor Anderson has taught a wide variety of undergraduate and graduate classes. He especially enjoys teaching advanced calculus, differential equations, differential geometry, linear algebra, and Lie theory. He is currently advising 4 graduate students.
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Darboux Integrability - A Brief Historial Survey, SIAM Conference on Applications of Dynamical Systems (2011)
B ̈acklund Transformations for Darboux Integrable Equations, Differential Geometry and Tanaka Theory, Research Institute for Mathematical Sciences, Kyoto University, January 24--28 (2011)
Lie symmetry reduction is typically viewed as an integration method for differential systems of finite...
New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory (with Charles G. Torre), preprint (2011)
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds,...
Rank 2 distributions of Monge equations: Symmetries, equivalences, ex-tensions (with B. Kruglikov), Advances in Mathematics (2011)
By developing the Tanaka theory for rank 2 distributions, we completely classify classical Monge equations...
Superposition Formulas for Darboux Integrable Exterior Differential Sys-tems (with Mark E. Fels and Peter J. Vassiliou), Advances in Mathematics (2009)
In this article we solve an inverse problem in the theory of quotients for differential...