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
Bounded functions on the character variety, with L.Berger, to appear in the Münster Journal of Mathematics. pdf
Stability in the category of smooth mod-p representations of SL_2(Qp), with P.Schneider, Forum of Mathematics, Sigma 12 (2024) Paper No. e77, 57pp. 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.