Alexander Tsymbaliuk

Alexander Tsymbaliuk

Purdue University

H-index: 13

North America-United States

About Alexander Tsymbaliuk

Alexander Tsymbaliuk, With an exceptional h-index of 13 and a recent h-index of 12 (since 2020), a distinguished researcher at Purdue University, specializes in the field of Representation theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Orthosymplectic superoscillator Lax matrices

Shuffle Algebras and Their Integral Forms: Specialization Map Approach in Types Bn and G2

Quantum loop groups and shuffle algebras via Lyndon words

Affine Standard Lyndon words: A-type

Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems

Shuffle approach towards quantum affine and toroidal algebras

Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type

Rational Lax matrices from antidominantly shifted extended Yangians: BCD types

Alexander Tsymbaliuk Information

University

Position

Assistant Professor Department of Mathematics

Citations(all)

661

Citations(since 2020)

511

Cited By

332

hIndex(all)

13

hIndex(since 2020)

12

i10Index(all)

15

i10Index(since 2020)

14

Email

University Profile Page

Purdue University

Google Scholar

View Google Scholar Profile

Alexander Tsymbaliuk Skills & Research Interests

Representation theory

Top articles of Alexander Tsymbaliuk

Title

Journal

Author(s)

Publication Date

Orthosymplectic superoscillator Lax matrices

Letters in Mathematical Physics

Rouven Frassek

Alexander Tsymbaliuk

2024/4

Shuffle Algebras and Their Integral Forms: Specialization Map Approach in Types Bn and G2

International Mathematics Research Notices

Yue Hu

Alexander Tsymbaliuk

2024/4

Quantum loop groups and shuffle algebras via Lyndon words

Advances in Mathematics

Andrei Neguţ

Alexander Tsymbaliuk

2024/3/1

Affine Standard Lyndon words: A-type

arXiv preprint arXiv:2305.16299

Yehor Avdieiev

Alexander Tsymbaliuk

2023/5/25

Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems

Letters in Mathematical Physics

Alexander Tsymbaliuk

2023/2

Shuffle approach towards quantum affine and toroidal algebras

Alexander Tsymbaliuk

2022

Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type

Advances in Mathematics

Rouven Frassek

Vasily Pestun

Alexander Tsymbaliuk

2022/6/4

Rational Lax matrices from antidominantly shifted extended Yangians: BCD types

Communications in Mathematical Physics

Rouven Frassek

Alexander Tsymbaliuk

2022/6

Surface defects in gauge theory and KZ equation

Letters in Mathematical Physics

Nikita Nekrasov

Alexander Tsymbaliuk

2022/4

Transfer matrices of rational spin chains via novel BGG-type resolutions

Rouven Frassek

Ivan Karpov

Alexander Tsymbaliuk

2021/12/22

PBWD bases and shuffle algebra realizations for $$ U_ {\varvec {v}}(L\mathfrak {sl} _n), U_ {{\varvec {v}} _1,{\varvec {v}} _2}(L\mathfrak {sl} _n), U_ {\varvec {v}}(L\mathfrak …

Selecta Mathematica

Alexander Tsymbaliuk

2021/7

Duality of Lusztig and RTT integral forms of Uv (Lsln)

Journal of Pure and Applied Algebra

Alexander Tsymbaliuk

2021/1/1

Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data

Letters in Mathematical Physics

Alexander Tsymbaliuk

2020/4/2

See List of Professors in Alexander Tsymbaliuk University(Purdue University)