Juha's Homepage

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

Peter Olver, Juha Pohjanpelto, Francis Valiquette, On the Structure
of Lie Pseudo-Groups [pdf] (2009).
Juha Pohjanpelto, Reduction of exterior differential systems with
infinite dimensional symmetry groups [pdf]. BIT Numerical Mathematics
48 (2008), 337 &ndash 355.
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].
Journal of Geometry and Physics 58 (2008), 996 &ndash 1006.

Peter Olver, Juha Pohjanpelto, Moving frames for pseudo-groups [pdf].
Canadian Journal of Mathematics 60 (2008), 1336 &ndash 1386.

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.

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, 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, 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, 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.

In Preparation

Cohomology of the variational bicomplex invariant under the symmetry group of the PKP equation.

Variational principles for third order natural differential operators in metric field theories (with Ian M. Anderson).

Doctoral Students

Jonner Barrett, Thesis: Conserved densities for the nonlinear Schrodinger equation, in progress.

Master's Students

Kyle Hickman, Paper: Structure Equations for the Generalized Fisher Equation (June 2005).

Last Updated: April 7, 2009