Dr Mark MacDonald

Lecturer in Pure Mathematics

The slice method for G-torsors
Lötscher, R., MacDonald, M.L. 7/11/2017 In: Advances in Mathematics. 320, p. 329-360. 32 p.
Journal article

Essential dimension of Albert algebras
MacDonald, M. 20/06/2014 In: Bulletin of the London Mathematical Society.
Journal article

Essential dimension of algebraic tori
Lötscher, R., MacDonald, M., Meyer, A., Reichstein, Z. 04/2013 In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 677, p. 1-13. 13 p.
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Upper bounds for the essential dimension of E_7
MacDonald, M. 20/03/2013 In: Canadian Mathematical Bulletin.
Journal article

Essential p-dimension of algebraic groups whose connected component is a torus
MacDonald, M., Lötscher, R., Meyer, A., Reichstein, Z. 2013 In: Algebra and Number Theory. 7, 8, p. 1817–1840.
Journal article

Essential p-dimension of the normalizer of a maximal torus
MacDonald, M. 6/07/2011 In: Transformation Groups. 16, 4, p. 1143-1171. 29 p.
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Cohomological invariants of Jordan algebras with frames
MacDonald, M. 15/03/2010 In: Journal of Algebra. 323, 6, p. 1665-1677. 13 p.
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Projective homogeneous varieties birational to quadrics
MacDonald, M. 2009 In: Documenta Mathematica. 14, p. 47-66. 20 p.
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Cohomological invariants of odd degree Jordan algebras
MacDonald, M. 09/2008 In: Mathematical Proceedings of the Cambridge Philosophical Society. 145, 2, p. 295-303. 9 p.
Journal article

Orthogonal invariants of a matrix of order four and applications
Đoković, D., MacDonald, M. 1/11/2005 In: Journal of Pure and Applied Algebra. 202, 1-3, p. 259-283. 25 p.
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