About
Andrey Nikolaev is a Teaching Professor in the Department of Mathematical Sciences at Stevens Institute of Technology's Charles V. Schaefer, Jr. School of Engineering and Science. His research focuses on group theory, computational complexity, and randomness in mathematical structures.
Nikolaev's work investigates algorithmic problems in group theory including subset sum problems in branch groups, word problems in Baumslag-Gersten groups, and conjugacy problems in Heisenberg groups. He co-authored 'Complexity and Randomness in Group Theory' (2020), examining computational aspects of geometric group theory.
Recent publications explore parameterized complexity, logspace computations in nilpotent groups, and nonstandard polynomial algebra. His research bridges theoretical computer science with algebraic structures, developing efficient algorithms for group-theoretic problems.
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