I strongly support undergraduate research opportunities in which students work closely with a faculty mentor to produce new knowledge within a field of mathematics.
Student Researchers:
William Helman
Daniel Sinderson
Objectives:
Calculate classical and non-classical symmetries of the Gibbons-Tsarev and Born-Infeld equations.
Classify 1-dimensional subalgebras and their normalizers.
Find group-invariant solutions for each equation.
-- funded by the Southern Oregon Unviersity STEMReX program.
Classification of 7-Dimensional Symmetry Subalgebras | Summer 2022 - Present
Student Researchers:
Andrew Eskenazi
Objectives:
Classify all 7-dimensional symmetry subalgebras (up to Lie algebra automorphism) of the maximally symmetric Monge equations on 6-manifolds:
) z' = (y''')^2
) z'' = (y'')^2
List those subalgebras which act intransitively on the equation manifold.