University of Illinois at Urbana-Champaign

Sergei V. Ivanov

Professor
Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street (MC-382)
Urbana, Illinois 61801-2975

Office: 373 Altgeld Hall
Phone: (217) 244-6652
Fax:  (217) 333-9576
e-mail: ivanov@math.uiuc.edu

Area of interest and specialization:

Algebra, Topology: Combinatorial group theory and its applications.

Selected Publications

Reducing Heegaard splittings of 3-manifolds. Illinois J. Math. (to appear).

(with A.A. Klyachko), The asphericity and Freiheitssatz for certain LOT-presentations of groups. Internat. J. Algebra Comp. (to appear).

Intersecting free subgroups in free products of groups. Internat. J. Algebra Comp. (to appear).

(with S.W. Margolis and J.C. Meakin), On one-relator groups and one-relator inverse monoids. J. Pure Appl. Algebra (to appear).

(with J.C. Meakin), On asphericity and Freiheitssatz for certain finitely presented groups. J. Pure Appl. Algebra (to appear).

(with P.E. Schupp), A remark on finitely generated subgroups of free groups. Algorithmic problems in groups and semigroups (Lincoln, NE, 1998), 139--142, Trends Math., Birkhäuser Boston, Boston, MA (2000).

The relation and second homotopy modules of free Burnside groups of large even exponents. J. Group Theory 3 (2000) 323--328.

The Burnside groups. In Encyclopedia of Mathematics, Kluwer (2000) to appear.

(with A.A. Klyachko), Solving equations of length at most six over torsion-free groups. J. Group Theory 3 (2000) 329--337.

On finitely presented groups given by periodic relators. J. Group Theory 3 (2000), 95--99.

On the intersection of finitely generated subgroups in free products of groups. Internat. J. Algebra Comp. 9 (1999), 521--528.

(with P.E. Schupp), A remark on finitely generated subgroups of free groups. In Algorithmic Problems in Groups and Semigroups, (J.-C. Birget et al, Eds.), Birkhauser (1999) 139--142.

The Whitehead asphericity conjecture and periodic groups. Internat. J. Algebra Comp. 9 (1999) 529--538.

On endomorphisms of free groups that preserve primitivity. Arch. Math. (Basel) 72 (1999) 92--100.

An asphericity conjecture and Kaplansky problem on zero divisors. J. Algebra 216 (1999) 13--19.

Some remarks on the Whitehead asphericity conjecture. Illinois J. Math. 43 (1999) 793--799.

(with P.E. Schupp), On the hyperbolicity of small cancellation groups and one-relator groups, Trans. Amer. Math. Soc. 350 (1998) 1851--1894.

On aspherical presentations of groups. Electron. Res. Announc. Amer. Math. Soc. 4 (1998) 109--114.

On the Burnside problem for groups of even exponent. Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math., Extra Vol. ICM-98 II, (1998) 67--76.

On certain elements of free groups. J. Algebra 204 (1998) 394--405.

(with A. Yu. Ol'shanskii), On finite and locally finite subgroups of free Burnside groups of large even exponents. J. Algebra 195 (1997) 241--284.

(with A. Yu. Ol'shanskii), Hyperbolic groups and their quotients of bounded exponents. Trans. Amer. Math. Soc. 348 (1996) 2091--2138.

Last modified May 22, 2001