Konstantin Ardakov's website

Mathematical Institute University of Oxford ardakov @ maths.ox.ac.uk

Research interests

• Geometric representation theory
• Arithmetic algebraic geometry
• Non-commutative algebra

Publications and preprints

• -modules on rigid analytic spaces III: weak holonomicity and operations, with A. Bode and S.J.Wadsley, submitted. pdf
• Equivariant D-modules on rigid analytic spaces, to appear in Astérisque. pdf
• -modules on rigid analytic spaces I, with S.J.Wadsley, J. Reine Angew. Math. 747 (2019) 221-276. pdf
• Bounded linear endomorphisms of rigid analytic functions, with O. Ben-Bassat, Proc. Lond. Math. Soc. 117(5) (2018) 881-900. pdf
• -modules on rigid analytic spaces II: Kashiwara's equivalence, with S.J.Wadsley, J. Algebraic Geom. 27 (2018) 647-701. pdf
• A canonical dimension estimate for non-split semisimple p-adic Lie groups, with C.Johansson, Representation Theory 20 (2016) 128-138. pdf
• Towards a Riemann-Hilbert correspondence for -modules, with S.J.Wadsley, Oberwolfach Rep. 12(2) (2015) 1406-1412. pdf
• -modules on rigid analytic spaces, Proceedings of the ICM, Seoul, Volume III (2014) 1-9. pdf
• Verma modules for Iwasawa algebras are faithful, with S.J.Wadsley, Münster Journal of Mathematics 7 (2014) 5-26. pdf
• Krull dimension of affinoid enveloping algebras of semisimple Lie algebras, with I. Grojnowski, Glasgow Mathematical Journal 55A (2013) 7-26. pdf
• On irreducible representations of compact p-adic analytic groups, with S.J.Wadsley, Annals of Mathematics 178 (2013) 453-557. pdf
• Prime ideals in nilpotent Iwasawa algebras, Inventiones mathematicae 190(2) (2012) 439-503. pdf
• The controller subgroup of one-sided ideals in completed group rings, Contemporary Mathematics 562 (2012) 11-26. pdf
• Gamma-invariant ideals in Iwasawa algebras, with S.J.Wadsley, Journal of Pure and Applied Algebra 213(9) (2009) 1852-1864. pdf
• Centres of skewfields and completely faithful Iwasawa modules, J. Inst. Math. Jussieu 7 (2008) 457-468. pdf
• Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type, with F.Wei and J.J.Zhang, J. Algebra 320(1) (2008) 259-275. pdf
• Reflexive ideals in Iwasawa algebras, with F.Wei and J.J.Zhang, Advances in Mathematics 218 (2008) 865-901. pdf
• On the Cartan map for crossed products and Hopf-Galois extensions, with S.J.Wadsley, Algebras and Rep. Theory (2008). pdf
• K_0 and the dimension filtration for p-torsion Iwasawa modules, with S.J.Wadsley, Proc. Lond. Math. Soc. 97(1) (2008) 31-59. pdf
• Ring-theoretic properties of Iwasawa algebras: a survey, with K.A.Brown, Documenta Math. Extra Volume Coates (2006) 7-33. pdf
• Localisation at augmentation ideals in Iwasawa algebras, Glasgow Mathematical Journal 48(2) (2006) 251-267. pdf
• Characteristic elements for p-torsion Iwasawa modules, with S.J.Wadsley, J. Algebraic Geom. 15 (2006) 339-377. pdf
• Primeness, semiprimeness and localisation in Iwasawa algebras, with K.A.Brown, Trans. Amer. Math. Soc. 359 (2007) 1499-1515. pdf
• Prime ideals in noncommutative Iwasawa algebras, Math. Proc. Camb. Phil. Soc. 141(2) (2006) 197-203. pdf
• 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. pdf
• PhD thesis, University of Cambridge (2004) pdf
  

Workshops

• Tropical geometry, Berkovich spaces, Arithmetic D-modules and p-adic Local Systems, Imperial, June 2020.
• Geometric methods in p-adic representation theory, Dublin, July 2019.
• D-modules, geometric representation theory and arithmetic applications, Oxford, December 2017.

Links

• Simon Wadsley's page
• Ken Brown's page
• James Zhang's page
• Ian Grojnowski's page
• Christian Johansson's page
• Oren Ben-Bassat's page
• Andreas Bode's page

CV

• Available here.