Papers:
-
A number
theoretic classification of toroidal solenoids,
to appear in Proceedings of the London Mathematical
Society, Volume 129, Issue 3, September 2024.
- On
Z^d-odometers associated to integer matrices,
with S. Merenkov, 14 pages, to appear in Groups, Geometry,
and Dynamics.
- Generalized
ideal classes in application to toroidal solenoids,
Pacific Journal of Mathematics 318-1 (2022), P.
189--228.
-
The general solution of the
Eisenhart equation and projective motions of
pseudo-Riemannian manifolds
(Russian)
Mat. Zametki 107 (2020),
- No. 6,
P. 803--816, with A. V. Aminova (English
translation in
Mathematical Notes,
2020, Vol. 107, No. 6, P. 875--886.)
- Explicit determination
of root numbers of abelian varieties
with A. Brumer and K. Kramer, Trans. Amer.
Math. Soc. 370 (2018), No. 4, P.
2589--2604.
- From
Apollonian packings to homogeneous sets with
S. Merenkov, Ann. Acad. Sci. Fenn. Math. 40
(2015), No. 2, P. 711--727.
- Symplectic
representations of semidirect products,
Journal of Group Theory, V. 17 (2014), No. 3, P.
395--406.
- Change
of root numbers of elliptic curves under extension
of scalars, Journal of Number Theory, V. 134
(2014), P. 293--319.
- Twisted root numbers and
ranks of abelian varieties, Journal of
Combinatorics and Number Theory, V. 5, No. 1
(2013), P. 25--30.
- Simplification of root
valuation data for classical groups,
Algebras and Representation Theory, V. 15, Issue 4 (2012), P.
715--733.
- The orbit method for
profinite groups and a p-adic analogue of Brown's
theorem with M. Boyarchenko, Israel J.
Math. 165 (2008), P. 67--91.
- Artin root
numbers of abelian varieties (in
Russian),
Uspekhi Mat. Nauk, V. 62 (2007), ser.
6 (378), P. 161--162.
- On representations of the Weil-Deligne group,
Izv. Vyssh. Uchebn. Zaved. Mat. (2008), No. 2
(549), P. 48--52.
- Centralizers
of generic elements of Newton strata in the adjoint
quotients of reductive groups with M. Boyarchenko, Int.
Math. Res. Not. IMRN, No. 19
(2007), 29 pp.
- Root
numbers of abelian varieties, Trans.
Amer. Math. Soc. 359 (2007), No. 9, P. 4259--4284.
- Polynomial manifolds,
Tensor (N.S.), V. 62 (2000), No. 1, P. 28--41.