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
.