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Alexei Miasnikov
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Year
Algebraic geometry over groups. I. Algebraic sets and ideal theory
G Baumslag, A Myasnikov, V Remeslennikov
Journal of Algebra 219 (1), 16-79, 1999
4711999
Irreducible affine varieties over a free group: II. Systems in triangular quasi-quadratic form and description of residually free groups
O Kharlampovich, A Myasnikov
Journal of Algebra 200 (2), 517-570, 1998
360*1998
Elementary theory of free non-abelian groups
O Kharlampovich, A Myasnikov
Journal of Algebra 302 (2), 451-552, 2006
3352006
Stallings foldings and subgroups of free groups
I Kapovich, A Myasnikov
Journal of Algebra 248 (2), 608-668, 2002
3322002
Generic-case complexity, decision problems in group theory, and random walks
I Kapovich, A Myasnikov, P Schupp, V Shpilrain
Journal of Algebra 264 (2), 665-694, 2003
3122003
Group-based cryptography
A Myasnikov, A Ushakov, V Shpilrain
Birkhäuser Basel, 2008
2592008
Non-commutative cryptography and complexity of group-theoretic problems
AG Myasnikov, V Shpilrain, A Ushakov
American Mathematical Soc., 2011
2412011
Algebraic geometry over groups II. Logical foundations
A Myasnikov, V Remeslennikov
Journal of Algebra 234 (1), 225-276, 2000
2392000
Exponential groups 2: Extensions of centralizers and tensor completion of CSA groups
A Myasnikov, V Remeslennikov
arXiv preprint math/9507203, 1995
1961995
Unification theorems in algebraic geometry
E Daniyarova, A Myasnikov, V Remeslennikov
Algebra and Discrete Mathematics 1 (1), 80, 2008
1662008
Hyperbolic groups and free constructions
O Kharlampovich, A Myasnikov
Transactions of the American Mathematical Society 350 (2), 571-613, 1998
1301998
Algebraic geometry over algebraic structures. II. Foundations
EY Daniyarova, AG Myasnikov, VN Remeslennikov
Journal of Mathematical Sciences 185 (3), 389-416, 2012
1192012
Foldings, graphs of groups and the membership problem
I Kapovich, R Weidmann, A Myasnikov
International Journal of Algebra and Computation 15 (01), 95-128, 2005
1182005
Open problems in combinatorial group theory.
G Baumslag, AG Myasnikov, V Shpilrain
Contemporary Mathematics 296, 1-38, 2002
1162002
Average-case complexity and decision problems in group theory
I Kapovich, A Myasnikov, P Schupp, V Shpilrain
Advances in Mathematics 190 (2), 343-359, 2005
1042005
Length based attack and braid groups: cryptanalysis of Anshel-Anshel-Goldfeld key exchange protocol
AD Myasnikov, A Ushakov
International Workshop on Public Key Cryptography, 76-88, 2007
992007
Two theorems about equationally Noetherian groups
G Baumslag, A Myasnikov, V Roman'kov
Journal of Algebra 194 (2), 654-664, 1997
951997
A linear decomposition attack
A Myasnikov, V Roman'kov
Groups Complexity Cryptology 7 (1), 81-94, 2015
932015
The halting problem is decidable on a set of asymptotic probability one
JD Hamkins, A Miasnikov
Notre Dame Journal of Formal Logic 47 (4), 515-524, 2006
892006
Algebraic geometry over algebraic structures III: Equationally Noetherian property and compactness
E Daniyarova, A Myasnikov, V Remeslennikov
arXiv preprint arXiv:1002.4243, 2010
882010
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Articles 1–20