Publications

Mathematics

  1. B. Tsvelikhovskiy Helly Numbers for Connected Reductive Groups and Splitting of Toric Principal Bundles, arXiv
  2. B. Tsvelikhovskiy Notes from a family of smooth G-Hilbert schemes, arXiv, submitted
  3. B. Tsvelikhovskiy On a Dichotomy for Skyscraper Sheaves under the Bridgeland–King–Reid Equivalence, arXiv
  4. K. Kaveh, C. Manon and B. Tsvelikhovskiy Toric vector bundles over a discrete valuation ring and Bruhat–Tits buildings, arXiv, Advances in Mathematics, 503, 2026
  5. B. Tsvelikhovskiy The universe inside Hall algebras of coherent sheaves on toric resolutions, arXiv, Int. Math. Res. Not. IMRN, 2024, pp. 8653–8671
  6. B. Tsvelikhovskiy On categories O of quiver varieties overlying the bouquet graphs, arXiv, Represent. Theory (AMS), 27, 2023, pp. 431–472
  7. B. Tsvelikhovskiy On Poincaré polynomials of shuffle algebra representations, arXiv
  8. M. Elhamdadi, N. Fernando and B. Tsvelikhovskiy Ring theoretic aspects of quandles, arXiv, J. Algebra, 526, 2019, pp. 166–187
  9. B. Tsvelikhovskiy Nontrivial Topological Quandles, arXiv, Arnold Math. J., 8, 2022, pp. 535–542

    10. Quantum Computing

  10. B. Tsvelikhovskiy Circuit Synthesis for Variational Quantum Algorithms: The Depth of Algebra and Geometry, arXiv
  11. B. Tsvelikhovskiy, B. Bach, and I. Safro The Expressive Power of Constrained QAOA: What You Might Have MISsed, arXiv
  12. B. Bach, B. Tsvelikhovskiy, J.Falla and I. Safro Efficient Estimation of Reduced QAOA Expressibility on Acyclic Graphs, arXiv, submitted
  13. J.Falla, B. Bach, B. Tsvelikhovskiy and I. Safro Implications of Reduced DLAs for the Standard QAOA Ansatz, IEEE International Conference on Quantum Computing and Engineering (QCE), 2026
  14. B. Tsvelikhovskiy, B. Bach, J.Falla and I. Safro Reductions of QAOA Induced by Classical Symmetries: Theoretical Insights and Practical Implications, arXiv, submitted
  15. B. Tsvelikhovskiy, M. Nuyten and B. Bakalov Provable avoidance of barren plateaus for the Quantum Approximate Optimization Algorithm with Grover mixers, arXiv, minor revision submitted
  16. B. Tsvelikhovskiy, I. Safro and Y. Alexeev Equivariant QAOA and the Duel of the Mixers, arXiv, IEEE Transactions on Quantum Engineering, 7, 2026, pp. 1-13
  17. B. Tsvelikhovskiy, I. Safro and Y. Alexeev Of Representation Theory and Quantum Approximate Optimization Algorithm, arXiv, minor revision submitted

    18. Applied Mathematics

  18. (with M. Diss) Manipulable outcomes within the class of scoring voting rules, arXiv, Math. Social Sci., 111, 2021, pp. 11–18

    19. Surveys

  19. (with D. Matvieievskyi) Soergel’s V and the Kazhdan–Lusztig conjecture, in Introduction to Soergel bimodules, RSME Springer Series, 2020