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2002 -- Now: College lecturer, School of Mathematical Sciences, UCD 2001 -- 2002: Assistant lecturer, School of Mathematical Sciences, UCD 2001: Post-doctoral research fellow, Universities of Duisburg and Regensburg 2001: PhD, National University of Ireland 1996: Licentiaat in de wiskunde (≈ MSc in mathematics), University of Ghent 1994: Kandidaat in de wiskunde (≈ BSc in mathematics), University of Ghent |
| Quadratic and hermitian forms, algebras with involution, their applications in real algebra and space-time coding. |
| Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Isotropy of quadratic forms and algebras with involution Start Date / End Date : 01-AUG-09 / 31-JUL-12 |
| Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Isotropy of quadratic forms and algebras with involution Start Date / End Date : 01-AUG-09 / 31-JUL-12 |
| Sponsor : Science Foundation Ireland (SFI) Title : The hasse principle for weak isotropy of central simple algebras with an involution of the second kind Start Date / End Date : 01-MAY-07 / 30-APR-10 |
| Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Hermitian levels of octonion algebras (James O'Shea) Start Date / End Date : 01-OCT-02 / 30-SEP-03 |
| Knebusch, M. (Author) and Unger, T. (Translator); (2010) Specialization of Quadratic and Symmetric Bilinear Forms. London: Springer. [Details] |
| Unger, T. and Markin, N.; (2011) 'Quadratic forms and space-time block codes from generalized quaternion and biquaternion algebras'. IEEE Transactions on Information Theory, 57 (9):6148-6156. [DOI] [Details] |
| Pumplün, S. and Unger, T.; (2011) 'Space-time block codes from nonassociative division algebras'. Advances in Mathematics of Communications, 5 (3):449-471. [DOI] [Details] |
| Klep, I. and Unger, T.; (2010) 'The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras with involution'. Journal of Algebra, 324 (2):256-268. [DOI] [Details] |
| Klep, I and Unger, T; (2009) 'The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras with involution'. Oberwolfach Reports, 6 (2):1388-1390. [Details] |
| Astier, V. and Unger, T.; (2008) 'A hermitian analogue of the Bröcker-Prestel theorem'. Indagationes Mathematicae-New Series, 19 (3):349-358. [Details] |
| Lewis, D.W. and Unger, T.; (2008) 'Hermitian Morita theory: a matrix approach'. Irish Mathematical Society Bulletin, 62 :37-41. [Details] | |||||||||
| Lewis, DW; Unger, T; Van Geel, J; ; (2005) 'The Hasse principle for similarity of hermitian forms'. Journal of Algebra, 285 (1):196-212. [Details] | |||||||||
| Lewis, DW; Unger, T; ; (2003) 'A local-global principle for algebras with involution and hermitian forms'. Mathematische Zeitschrift, 244 (3):469-477. [Details] | |||||||||
| Pumplun, S; Unger, T; ; (2002) 'The hermitian level of composition algebras'. Manuscripta Mathematica, 109 (4):511-525. [Details] | |||||||||
| Unger, Thomas; (2001) 'A note on surrogate forms of central simple algebras'. Proceedings of the Royal Irish Academy, 101a (2):125-135. [Details] | |||||||||
| Unger, T.; (2001) 'Clifford algebra periodicity for central simple algebras with an involution'. Communications in Algebra, 29 (3):1141-1152. [Details] | |||||||||
| Lewis, David W.; Scheiderer, Claus; Unger, Thomas; (2001) 'A weak Hasse principle for central simple algebras with an involution'. Documenta Mathematica, Extra Vol (2001):241-251. [Details] | |||||||||
| Unger, T.; (1998) 'Genetic Algorithms: a survey of some mathematical models'. Irish Mathematical Society Bulletin, 41 :57-71. [Details] | |||||||||
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| James O'Shea: MSc (2003), Hermitian Levels of Octonion Algebras. James O'Shea: PhD (2007), Levels and Sublevels of Composition Algebras. Ronan Flatley: PhD (started 2005, jointly supervised with D. Lewis). Lien Boelaert: MSc (2009), Cyclicity of Central Simple Algebras and the Linear Algebraic Group E8 (jointly supervised with J. Van Geel – Ghent University) |
| 201100 MATH10270 Mathematics: Linear Algebra in the Math Sci |
| 200800 MATH10050 Mathematics: Linear Algebra & Geometry |
| 200800 MST10040 Mathematical Studies: Combinatorics & Number Theory |
| 200800 MATH30030 Mathematics: Advanced Linear Algebra |
| 200900 MATH00010 Mathematics: Introduction to Mathematics |
