Research Overview

My research focuses on the structure and representation theory of quantum supergroups, with connections to quantum integrable systems, mathematical physics, and low-dimensional topology. Specifically, I study explicit equivalences among different realizations (Drinfeld–Jimbo, new Drinfeld, and RLL) of finite and affine quantum superalgebras, as well as the construction of their universal and evaluated R-matrices.

Publications & Preprints

View my profile on arXiv Author Page

1. Rank reduction in orthosymplectic types (with A. Tsymbaliuk)
   Preprint (2026). [arXiv:2610.37460]

2. Orthosymplectic quantum groups revisited (with A. Tsymbaliuk)
   SIGMA Symmetry Integrability Geom. Methods Appl. 22 (2026), Paper No. 105, 65 pages.
   [DOI:10.3842/SIGMA.2026.105] | [arXiv:2604.21785]

3. Orthosymplectic R-matrices (with A. Tsymbaliuk)
   Lett. Math. Phys. 116 (2026), Paper No. 55, 97 pages.
   [DOI:10.1007/s11005-026-02082-8] | [arXiv:2408.16720]

Talks

Orthosymplectic Quantum Supergroups Revisited

• QSMS Representation Theory Seminar, Seoul National University ^{Oct. 2026}
• Representation Theory Seminar, The Ohio State University ^{Sep. 2026}
• Representation Theory Seminar, Indiana University Indianapolis ^{Sep. 2026}

Orthosymplectic R-Matrices: Factorization and Yang-Baxterization

• AMS Fall Western Sectional Meeting, University of Denver ^{Aug. 2025}
• Math-Physics Seminar, Purdue University ^{Feb. 2025}