Sachin Gautam
Mathematics · The Ohio State University
Publications
26
Citations
121
Est. group size
—
Recurring co-author estimate
Active years
18
Publishing since 2008
Sachin Gautam works in algebra, focusing on mathematical structures called quantum groups and Yangians, which are algebraic tools originally motivated by mathematical physics and used to study symmetry in quantum systems. Much of the work concerns 'R-matrices' (algebraic objects encoding how these symmetries interact) and the representation theory (study of how abstract algebraic structures can act on vector spaces) of Yangians and related quantized enveloping algebras. This research is highly theoretical, aimed at understanding the internal structure and classification of these algebraic objects.
Publication output over the last decade has been irregular, with occasional gaps (e.g., 2018-2019, 2024) followed by bursts of activity (notably 2022), averaging under two papers per year in the most recent five-year period.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>R</mml:mi> </mml:math> -matrix formalism for quantized enveloping algebras
Annales de l’institut Fourier · 2025
- On the uniqueness of Yangians
arXiv (Cornell University) · 2025
- The R-matrix of the affine Yangian
arXiv (Cornell University) · 2023
- Poles of finite-dimensional representations of Yangians
Selecta Mathematica · 2022
- Role of Cardiac Biomarkers in Patients of Chronic Obstructive Pulmonary Disease with Acute Exacerbation
Indian Journal of Medical Specialities · 2022
- On a Conjecture of Khoroshkin and Tolstoy
International Mathematics Research Notices · 2022
- The R-matrix formalism for quantized enveloping algebras
arXiv (Cornell University) · 2022
- On a conjecture of Khoroshkin and Tolstoy
arXiv (Cornell University) · 2022
- The Meromorphic R-Matrix of the Yangian
Progress in mathematics · 2021
- Poles of finite-dimensional representations of Yangians
arXiv (Cornell University) · 2020
- Poles of finite-dimensional representations of Yangians in type A
arXiv (Cornell University) · 2020
- Meromorphic tensor equivalence for Yangians and quantum loop algebras
Publications mathématiques de l IHÉS · 2017
- Elliptic quantum groups and their finite-dimensional representations
arXiv (Cornell University) · 2017
- An explicit isomorphism between quantum and classical sl(n)
arXiv (Cornell University) · 2017
- arXiv (Cornell University)×8
- Publications mathématiques de l IHÉS×1
- Selecta Mathematica×1
- Indian Journal of Medical Specialities×1
- Progress in mathematics×1
- Donald Yau
Mathematics · The Ohio State University
- Darrell Haile
Mathematics · Indiana University
- Henri Moscovici
Mathematics · The Ohio State University
- E. Mukhin
Mathematics · Indiana University
- Lawrence G. Brown
Mathematics · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile