Andrey Nikolaev (anikolae)

Andrey Nikolaev

Teaching Associate Professor

Charles V. Schaefer, Jr. School of Engineering and Science

Department of Mathematical Sciences

North Building 226
(201) 216-8596
(201) 216-8321
Website

Education

  • Ph.D. (2010) McGill University (Mathematics)
  • M.S. (2005) Lomonosov Moscow State University (Mathematics)

Selected Publications

Book

  1. Bassino, F.; Kapovich, I.; Lohrey, M.; Miasnikov, A.; Nicaud, C.; Nikolaev, A.; Rivin, I.; Shpilrain, V.; Ushakov, A.; Weil, P. (2020). Complexity and Randomness in Group Theory. De Gruyter.
    https://doi.org/10.1515/9783110667028.
  2. Bassino, F.; Kapovich, I.; Lohrey, M.; Miasnikov, A.; Nicaud, C.; Nikolaev, A.; Rivin, I.; Shpilrain, V.; Ushakov, A.; Weil, P. (2020). Complexity and randomness in group theory: GAGTA BOOK 1. Complexity and Randomness in Group Theory: GAGTA BOOK 1 (pp. 1-374).

Book Chapter

  1. Cannizzo, J.; Nikolaev, A.; Atieh, E. L. (2026). A Model for Organizing Undergraduate‑Led Math Circles. Mathematics Outreach (pp. 245-268). Emerald Publishing Limited.
    https://doi.org/10.1108/978-1-80686-177-420261013.

Journal Article

  1. Atieh, E. L.; Cannizzo, J.; Nikolaev, A. (2026). How leading a math circle fosters personal growth: a multiple case study of undergraduates conducting STEM outreach. Frontiers in Education (vol. 11). Frontiers Media SA.
    https://doi.org/10.3389/feduc.2026.1858044.
  2. Macdonald, J.; Myasnikov, A.; Nikolaev, A.; Vassileva, S. (2022). Logspace and compressed-word computations in nilpotent groups. Transactions of the American Mathematical Society (8 ed., vol. 375, pp. 5425-5459). American Mathematical Society (AMS).
    https://doi.org/10.1090/tran/8623.
  3. Frenkel, E.; Nikolaev, A.; Ushakov, A. (2016). Knapsack problems in products of groups. Journal of Symbolic Computation (vol. 74, pp. 96-108). Elsevier BV.
    https://doi.org/10.1016/j.jsc.2015.05.006.
  4. Myasnikov, A.; Nikolaev, A. (2014). Verbal subgroups of hyperbolic groups have infinite width. Journal of the London Mathematical Society (2 ed., vol. 90, pp. 573-591). Wiley.
    https://doi.org/10.1112/jlms/jdu034.
  5. Myasnikov, A.; Nikolaev, A.; Ushakov, A. (2014). Knapsack problems in groups. Mathematics of Computation (292 ed., vol. 84, pp. 987-1016). American Mathematical Society (AMS).
    https://doi.org/10.1090/s0025-5718-2014-02880-9.
  6. Nikolaev, A.; Serbin, D. (2012). Membership Problem in groups acting freely on Zn-trees. Journal of Algebra (vol. 370, pp. 410-444). Elsevier BV.
    https://doi.org/10.1016/j.jalgebra.2012.07.038.