Konstantin Ardakov's website

School of Mathematical Sciences Queen Mary, University of London ardakov @ maths.qmul.ac.uk

Research interests

• Non-commutative algebra
• Representation theory
• Arithmetic algebraic geometry

Publications

• On irreducible representations of compact p-adic analytic groups, with S.J.Wadsley, submitted. dvi pdf ps
• Prime ideals in nilpotent Iwasawa algebras, Inventiones mathematicae (2012). dvi pdf ps
• The controller subgroup of one-sided ideals in completed group rings, Contemporary Mathematics 562 (2012) 11-26. dvi pdf ps
• Gamma-invariant ideals in Iwasawa algebras, with S.J.Wadsley, Journal of Pure and Applied Algebra 213(9) (2009) 1852-1864. dvi pdf ps
• Centres of skewfields and completely faithful Iwasawa modules, J. Inst. Math. Jussieu 7 (2008) 457-468. dvi pdf ps
• Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type, with F.Wei and J.J.Zhang, J. Algebra 320(1) (2008) 259-275. dvi pdf ps
• Reflexive ideals in Iwasawa algebras, with F.Wei and J.J.Zhang, Advances in Mathematics 218 (2008) 865-901. dvi pdf ps
• On the Cartan map for crossed products and Hopf-Galois extensions, with S.J.Wadsley, Algebras and Rep. Theory (2008). dvi pdf ps
• K_0 and the dimension filtration for p-torsion Iwasawa modules, with S.J.Wadsley, Proc. Lond. Math. Soc. 97(1) (2008) 31-59. dvi pdf ps
• Ring-theoretic properties of Iwasawa algebras: a survey, with K.A.Brown, Documenta Math. Extra Volume Coates (2006) 7-33.
• Localisation at augmentation ideals in Iwasawa algebras, Glasgow Mathematical Journal 48(2) (2006) 251-267. dvi pdf ps
• Characteristic elements for p-torsion Iwasawa modules, with S.J.Wadsley, J. Algebraic Geom. 15 (2006) 339-377. dvi pdf ps
• Primeness, semiprimeness and localisation in Iwasawa algebras, with K.A.Brown, Trans. Amer. Math. Soc. 359 (2007) 1499-1515. dvi pdf ps
• Prime ideals in noncommutative Iwasawa algebras, Math. Proc. Camb. Phil. Soc. 141(2) (2006) 197-203. dvi pdf ps
• The centre of completed group algebras of pro-p groups, Documenta Math. 9 (2004) 599-606.
• Krull dimension of Iwasawa algebras, J. Algebra 280 (2004) 190-206. dvi pdf ps
• PhD thesis, University of Cambridge (2004) dvi pdf ps.
  

Links

• Simon Wadsley's page
• Ken Brown's page
• James Zhang's page

Teaching

• Introduction to Algebra