Office Hours: Monday 1:00-1:50, Wednesday 9:00-9:50, or by appointment

Courses Taught

Winter 2009

MTH 251 &ndash 400 Differential Calculus on the Web

MTH 306H Honors Matrix and Power Series Methods

MTH 430 Metric Spaces and Topology

MTH 251 &ndash 400 Differential Calculus on the Web

MTH 254 Vector Calculus I, section 020

MTH 306 Matrix and Power Series Methods, section 020

Summer 2008

MTH 251 &ndash 400 Differential Calculus on the Web

Spring 2008

MTH 251 &ndash 400 Differential Calculus on the Web

MTH 435/535 Differential Geometry

MTH 679 Topics in Geometry

Previous Courses

Research Interests

In general terms my research deals with the theory and applications of transformation

groups and their invariants in problems arising in geometry and mathematical physics.

Areas of Interest

Symmetries, conservation laws, transformation groups, variational bicomplex

Recent Papers

• Juha Pohjanpelto, Reduction of exterior differential systems with
  infinite dimensional symmetry groups [pdf]. To appear in BIT
  Numerical Mathematics (2008).
• Juha Pohjanpelto, Stephen Anco, Generalized symmetries of
  massless free fields on Minkowski space [pdf], SIGMA 4 (2008) 004.
• Gianni Manno, Juha Pohjanpelto, Raffaele Vitolo, Gauge invariance,
  charge conservation, and variational principles [pdf]. To appear in
  Journal of Geometry and Physics (2008).
• Peter Olver, Juha Pohjanpelto, Differential Invariant Algebras of
  Lie Pseudogroups [pdf] (2007).
• Peter Olver, Juha Pohjanpelto, Moving Frames and Differential Invariants
  for Lie Pseudogroups [pdf] in Symmetry and Pertubation Theory, Proceedings
  of the International Conference on SPT 2007, G. Gaeta, R. Vitolo, S. Walcher (Eds.),
  World Scientific (2007), 172 &ndash 180.
• Peter Olver, Juha Pohjanpelto, Pseudo-groups, Moving Frames, and
  Differential Invariants [pdf], in Symmetries and Overdetermined Systems of
  Partial Differential Equations, M. Eastwood, W. Miller, Jr. (Eds.), IMA Volumes
  in Mathematics and its Applications, Vol. 144, Springer (2008), 127 &ndash 150.
• Peter Olver, Juha Pohjanpelto, Differential Invariants for Lie Pseudo-Groups [pdf],
  in Groebner Bases in Symbolic Analysis, M. Rosenkrantz, D. Wong (Eds.),
  de Guyter (2007), 217 &ndash 244.
• Jeongoo Cheh, Peter Olver, Juha Pohjanpelto,Algorithms for
  differential invariants of symmetry groups of differential equations [pdf],
  Foundations of Computational Mathematics 8 (2008), 501 &ndash 532.
• Peter Olver, Juha Pohjanpelto, Moving frames for pseudo-groups [pdf].
  To appear in Canadian Journal of Mathematics.
• Jeongoo Cheh, Peter Olver, Juha Pohjanpelto, Maurer-Cartan equations
  for Lie symmetry pseudogroups of differential equations [dvi, ps].
  Journal of Mathematical Physics 46 (2005), 023504.
• Peter Olver, Juha Pohjanpelto, Regularity of pseudogroup orbits [dvi, ps].
  in Proceedings of Symmetry and Pertubation Theory 2004, G. Gaeta,
  B. Prinari, S. Rauch-Wojciechowski, S. Terracini (eds.), World Scientific,
  Singapore (2005), 244 &ndash 254.
• Peter Olver, Juha Pohjanpelto, Maurer-Cartan forms and the structure of
  Lie pseudo-groups [pdf]. Selecta Mathematica 11 (2005), 99 &ndash 126.
• Stephen Anco, Juha Pohjanpelto, Symmetries and currents of massless
  neutrino fields, electromagnetic and graviton fields [dvi, ps], in Symmetry in
  Physics: In Memory of Robert T. Sharp, P. Winternitz, J. Harnad, C. S. Lam,
  J. Patera (eds.), CRM Proceedings and Lecture Notes, Vol. 34 (2004), 1 &ndash 12.
• Juha Pohjanpelto, Classification of generalized symmetries of Yang-Mills
  fields with a semi-simple structure group [dvi, ps], Differential Geometry
  and its Applications 21 (2004), 147 &ndash 171.
• Stephen Anco, Juha Pohjanpelto, Conserved currents of massless fields
  of spin s ≥ 1/2 [dvi, ps], Proceedings of the Royal Society A 549 (2003), 1215 &ndash 1239.
• Stephen Anco, Juha Pohjanpelto, Classification of local conservation laws
  of Maxwell's equations [dvi, ps], Acta Applicandae Mathematicae 69 (2001), 285 &ndash 327.