Dr Thomas Unger
Email: Thomas · Unger © ucd · ie
Telephone: +353 1 716 2586
Fax: +353 1 716 1172
Room: SERC - Hub 7
Brief Academic CV
Lic. Wet. Wisk. (Ghent), PhD (NUI)
Research Profile
Dr Unger's research interests are in the areas of quadratic and hermitian
forms, central simple algebras with an involution and non-associative
algebras.
Key players in his research are the (generalized) quaternion algebras
discovered by Hamilton in 1843 and their Cayley-Dickson doubles, the
octonion algebras.
His recent investigations involve the extension of important quadratic form
theoretic local-global principles to the (mostly) non-commutative realm of
hermitian forms over division algebras.
Recent Publications
David W. Lewis, Thomas Unger and Jan Van Geel, The Hasse principle for
similarity of hermitian forms, J. Algebra 285 (2005), 196-212.
Susanne Pumpluen and Thomas Unger, The hermitian level of composition
algebras, manuscripta mathematica 109 (2002), 511-525.
David W. Lewis and Thomas Unger, A local-global principle for algebras with
involution and hermitian forms, Math. Zeit. 244 (2003), 469-477.
David W. Lewis, Claus Scheiderer and Thomas Unger, A weak Hasse principle
for central simple algebras with an involution, Doc. Math. Extra Volume,
Proc. Conf. Quadratic Forms and Related Topics, Baton Rouge, La., 2001,
241-251 (2001)
Thomas Unger, Clifford algebra periodicity for central simple algebras with
an involution, Comm. Algebra, 29(3) (2001), 1141--1152.
