List of publications

articles in journals/contributions to books

1 S. V. Vostokov and I. B. Zhukov. Abelian semiramified extensions of a two-dimensional local field (Russian). In book: Rings and modules. Limit theorem of probability theory, no.2, Izdat. Leningrad. Univ., Leningrad, 1988, 39–50.

2 S. V. Vostokov, I. B. Zhukov., and I. B. Fesenko On the theory of higher-dimensional local fields. Methods and constructions (Russian). Algebra i Analiz 2 (1990), No.4, 91–118; English translation in: Leningrad Math. J. 2 (1991), No.4, 775–800.

3 I. B. Zhukov. On abelian $p$-extensions of an absolutely unramified field (Russian). Zap. Nauchn. Sem. LOMI 191 (1991), 80–90.

4 B. M. Bekker, D. G. Benois, S. V. Vostokov, I. B. Zhukov., A.L.Smirnov, and I.B.Fesenko On the seminar `Constructive class field theory' , (Russian). Algebra i Analiz 4 (1992), No.1 ; English translation in: St. Petersburg Math. J. 4 (1993), No.1, 175–192.

5 I. B. Zhukov. Normalization for P-adic fields (Russian). Vestnik Sankt-Peterb. Univ. Matematika 26 (1993), No.2, 27–38; English translation in: Vestnik St. Petersburg University. Mathematics 26 (1994), No.2, 22–31.

6 A. I. Madunts and I. B. Zhukov. Multidimensional complete fields: topology and other basic constructions (Russian) . Trudy S.-Peterb. Mat. Obsch. 3 (1995), 4–46; English translation in: Amer. Math. Soc. Transl. (Ser. 2) 165 (1995), 1–34.

7 S. V. Vostokov and I. B. Zhukov. Some approaches to the construction of abelian extensions for P-adic fields (Russian) . Trudy S.-Peterb. Mat. Obsch. 3 (1995), 194–214; English translation in: Amer. Math. Soc. Transl. (Ser. 2) 165 (1995), 157–174.

8 I. B. Zhukov. Structure theorems for complete fields . Trudy S.-Peterb. Mat. Obsch. (Russian) 3 (1995), 215–234; English translation in: . Amer. Math. Soc. Transl. (Ser. 2) 165 (1995), 175–192.

9 I. B. Zhukov. Milnor's and topological K-groups of multidimensional complete fields (Russian) . Algebra i Analiz 9 (1997), No.1; English transl. in: St. Petersburg Math. J. 9 (1998), No.1, 69–105.

10 M. V. Bondarko, S. V. Vostokov and I. B. Zhukov. Additive Galois modules in discrete valuation fields (Russian) . Algebra i Analiz 9 (1997), No.4; English transl. in . St. Petersburg Math. J. 9 (1998), No.4.

11 M. V. Koroteev and I. B. Zhukov. Elimination of wild ramification (Russian) . Algebra i Analiz 11 (1999), No.6, 153–177; English transl. in . St. Petersburg Math. J. 11 (2000), No.6, 1063–1083 .

12 G. K. Pak, S. V. Vostokov and I. B. Zhukov. Extensions with almost maximal depth of ramification (Russian) . Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 265 (2000), 77–109.

13 A. I. Madunts and I. B. Zhukov. Additive and multiplicative expansions in multidimensional local fields (Russian) . Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 272 (2000), 186–196.

14 I. B. Zhukov. Higher dimensional local fields. In book: Invitation to higher local fields, Warwick, 2000 (Geometry and Topology Monographs, vol. 3), pp. 5–18.

15 I. B. Zhukov. Explicit abelian extensions of complete discrete valuation fields. In book: Invitation to higher local fields, Warwick, 2000 (Geometry and Topology Monographs, vol. 3), pp. 117–122.

16 I. B. Zhukov. An approach to higher ramification theory. In book: Invitation to higher local fields, Warwick, 2000 (Geometry and Topology Monographs, vol. 3), pp. 143–150.

17 I. B. Zhukov. Ramification of surfaces: Artin-Schreier extensions. Contemporary Mathematics 300 (2002) (volume dedicated to the 60th birthday of A.N.Parshin, to appear).

published contributions to academic conferences

1 I. B. Zhukov. Endomorphisms of formal groups (Russian). In book: XVIII All-Union algebraic conference, Lvov, 1987.

2 I. B. Zhukov. Construction of abelian $p$-extensions of an absolutely unramified complete field (Russian). In book: A. I. Shirshov International conference on algebra (Barnaul 20–25.08.91), Novosibirsk, 1991.

3 S. V. Vostokov and I. B. Zhukov. On certain extensions of two-dimensional local fields. In book: International algebraic conference dedicated to the memory of D. K. Faddeev, St. Petersburg, 1997.

4 I. B. Zhukov. On ramification theory in the imperfect residue field case. In book: International conference dedicated to the 90th anniversary of L.S. Pontryagin. Abstracts. Algebra, geometry and topology, Moscow, 1998, pp. 46-49.

preprints

1 I. B. Zhukov. On ramification theory in the imperfect residue field case, Prepint No. 98-02, Nottingham Univ., 1998. To appear in: Proceedings of the conference "Ramification Theory of Arithmetic Schemes (Luminy, 1999)" (ed. B.Erez).

2 I. B. Zhukov. Ramification of surfaces: sufficient jet order for wild jumps Preprint, University of Southampton, No. 365 (2002).