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

Irreducibility results for equivariant D-modules on rigid analytic spaces, with T.Schmidt, preprint. pdf
p-adic Fourier Theory for Qp^2 and the Monna map, with L.Berger, preprint. pdf
Global sections of equivariant line bundles on the p-adic upper half plane, with S.J.Wadsley, submitted. pdf
Equivariant line bundles with connection on the p-adic upper half plane, with S.J.Wadsley, submitted. pdf
The central sheaf of a Grothendieck category, with P.Schneider, submitted. pdf
Stability in the category of smooth mod-p representations of SL_2(Qp), with P.Schneider, to appear in Forum of Mathematics, Sigma. pdf
Bounded functions on the character variety, with L.Berger, to appear in the Münster Journal of Mathematics. pdf
The Bernstein center in natural characteristic, with P.Schneider, Proc. Steklov Inst. Math. 320 (2023) 1-22. pdf
Induction equivalence for equivariant D-modules on rigid analytic spaces, Representation Theory 27 (2023) 177-244. pdf
$\wideparen{\mathcal{D}}$ -modules on rigid analytic spaces III: weak holonomicity and operations, with A.Bode and S.J.Wadsley, Compositio Mathematica 157(12) (2021) 2553-2584. pdf
Equivariant D-modules on rigid analytic spaces, Astérisque 423 (2021) 1-161. pdf
$\wideparen{\mathcal{D}}$ -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
$\wideparen{\mathcal{D}}$ -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 $\wideparen{\mathcal{D}}$ -modules, with S.J.Wadsley, Oberwolfach Rep. 12(2) (2015) 1406-1412. pdf
$\wideparen{\mathcal{D}}$ -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 13(1) (2008) 33-41. 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. pdf
Krull dimension of Iwasawa algebras, J. Algebra 280 (2004) 190-206. pdf
PhD thesis, University of Cambridge (2004) pdf

Workshops

CV

Available here.