
Alexander Ushakov
Associate Professor
Charles V. Schaefer, Jr. School of Engineering and Science
Research
Combinatorial group theory
Computational algebra
Algebraic cryptography
Computational algebra
Algebraic cryptography
Institutional Service
- Graduate program committee Member
- Hiring committee Member
- Graduate program committee Member
- Hiring committee Member
- Graduate program committee Member
- Hiring committee Member
- Graduate program committee Member
- Graduate program committee Member
Professional Service
- Castle Point Learning Systems Consultant
- Castle Point Learning Systems Consultant
- Manhattan Algebra Day 2018 Co-organizer
Grants, Contracts and Funds
NSA research award ``Taming metabelian groups'', 2014.
NSF research award ``Computation with Finitely Presented Groups'', 2013.
NSF conference award ``Conference: Groups, geometry and dynamics'', 2013.
NSF conference award ``Thematic program semester: Geometric, combinatorial and computational group theory'', 2010.
NSF research award ``Collaborative research: Theoretical and experimental approaches to search problems in group theory'', 2009.
NSF research award ``Computation with Finitely Presented Groups'', 2013.
NSF conference award ``Conference: Groups, geometry and dynamics'', 2013.
NSF conference award ``Thematic program semester: Geometric, combinatorial and computational group theory'', 2010.
NSF research award ``Collaborative research: Theoretical and experimental approaches to search problems in group theory'', 2009.
Selected Publications
Book
- 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
- Ushakov, A. (2020). Discrete Optimization in Groups. Complexity and Randomness in Group Theory.
Conference Proceeding
- Mattes, C.; Ushakov, A.; Weiß, A. (2024). Complexity of Spherical Equations in Finite Groups. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (vol. 14519 LNCS, pp. 383-397).
Journal Article
- Ushakov, A. (2024). CONSTRAINED INHOMOGENEOUS SPHERICAL EQUATIONS: AVERAGE-CASE HARDNESS. Groups, Complexity, Cryptology (1 ed., vol. 16, pp. 3:1-3:18).
- Mandel, R.; Ushakov, A. (2023). The Diophantine problem for systems of algebraic equations with exponents. Journal of Algebra (vol. 636, pp. 779-803).
- Roman'kov, V.; Ushakov, A.; Shpilrain, V. (2023). Algebraic and quantum attacks on two digital signature schemes. Journal of Mathematical Cryptology (1 ed., vol. 17).
- Mandel, R.; Ushakov, A. (2023). Quadratic equations in metabelian Baumslag-Solitar groups. International Journal of Algebra and Computation.
- Lysenok, I.; Ushakov, A. (2021). Orientable quadratic equations in free metabelian groups. Journal of Algebra (vol. 581, pp. 303-326).
- Modi, M.; Seedhom, M.; Ushakov, A. (2021). Linear time algorithm for the conjugacy problem in the first Grigorchuk group. International Journal of Algebra and Computation (4 ed., vol. 31, pp. 789-806).
- Kotov, M.; Menshov, A.; Ushakov, A. (2021). Attack on Kayawood protocol: Uncloaking private keys. Journal of Mathematical Cryptology (1 ed., vol. 15, pp. 237-249).
- Nikolaev, A.; Ushakov, A. (2020). On subset sum problem in branch groups. journal of Groups, Complexity, Cryptology (vol. Volume 12, issue 1).
https://gcc.episciences.org/6541. - Ushakov, A. (2020). On subset sum problem in branch groups. journal of Groups, Complexity, Cryptology (1 ed., vol. 12).
- Kotov, M.; Menshov, A.; Ushakov, A. (2019). An attack on the Walnut digital signature algorithm. Designs, Codes, and Cryptography (10 ed., vol. 87, pp. 2231-2250).
- Gul, F.; Sohrabi, M.; Ushakov, A. (2017). Magnus embedding and algorithmic properties of groups /^{()}. Transactions of the American Mathematical Society (9 ed., vol. 369, pp. 6189-6206). American Mathematical Society (AMS).
http://dx.doi.org/10.1090/tran/6880.