Mark MacDonald's publications and preprints

• M.L. MacDonald, Essential dimension of the exceptional groups, Presentation at the Workshop on Exceptional Algebras and Groups, University of Ottawa, April 2012.
• R. Lötscher, M.L. MacDonald, A. Meyer, Z. Reichstein. Essential p-dimension of algebraic groups whose connected component is a torus. Preprint posted in 2012. (23 pages)
• M.L. MacDonald. Upper bounds for the essential dimension of E_7. Preprint posted in 2011. (5 pages)
• M.L. MacDonald. Essential p-dimension of the normalizer of a maximal torus. To appear in Transformation Groups. Preprint posted in 2010. (26 pages)
• R. Lötscher, M.L. MacDonald, A. Meyer, Z. Reichstein. Essential dimension of algebraic tori. To appear in J. Reine Angew. Math. (Crelle). Preprint posted in 2010. (12 pages)
• R. Lötscher, M.L. MacDonald, A. Meyer, Z. Reichstein. Essential p-dimension of algebraic tori. Preprint posted in 2009. (30 pages)
• M.L. MacDonald. Cohomological invariants of Jordan algebras with frames. Journal of Algebra, 323 (2010), 1665--1677.
• M.L. MacDonald. Projective homogeneous varieties birational to quadrics, Documenta Mathematica (2009), 47--66.
• See also my Oberwolfach Report on this topic. Oberwolfach, Germany, May 2009.
• M.L. MacDonald. Cohomological invariants of Jordan algebras. Ph.D. thesis, University of Cambridge, June 2008.

• M.L. MacDonald. Cohomological invariants of odd degree Jordan algebras, Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 2, 295--303.

• D.Z. Djokovic and M.L. MacDonald. Orthogonal invariants of a matrix of order four and applications. J. Pure Appl. Algebra 202 (2005), no. 1-3, 259--283.