SANU BERA

PHD AFFILIATION AND CONTACT

Sanu Bera

Ph.D. in Mathematics (2018 - 2023)

    Thesis Title: “Simple Modules over Quantized Algebras at Roots of Unity”

School of Mathematical Sciences

Ramakrishna Mission Vivekananda Educational and Research Institute (RKMVERI)

    PhD Supervisor: Professor Ashish Gupta

sanubera6575@gmail.com

RESEARCH AREAS

• Polynomial Identity algebras and their representation.

• Representation of quantized algebras at roots of unity.

• Lie algebras and their representation.

GRADUATION AND SCHOOLING

• University of Calcutta, Kolkata, West Bengal

     Master of Science (M.Sc.) in Mathematics

     June, 2018. 

• Uluberia College, University of Calcutta, Uluberia, West Bengal

     Bachelor of Science (B.Sc.) in Mathematics

     June, 2016. 

• Shyampur High School, Shyampur (West Bengal)

     Class XII (Higher Secondary Examination), WBCHSE

     June, 2013.

•  Moula Netaji Vidyalaya, Shyampur (West Bengal)

     Class X (Secondary Examination), WBBSE

     June, 2011.

PUBLICATIONS AND PREPRINTS

• S. Mukherjee and S. Bera. Simple Modules over K𝑞[𝑋,𝑌]⋊𝑈𝑞≥0(𝔰𝔩2) and K𝑞[𝑋,𝑌]⋊𝑈𝑞(𝔰𝔩2) at roots of unity. Communications in Algebra, 51:5, 2074-2097 (2022). https://doi.org/10.1080/00927872.2022.2150201

• S. Bera and S. Mukherjee. PI Degree of Quantized Weyl Algebras. Proceedings - Mathematical Sciences, 133, 18 (2023). https://doi.org/10.1007/s12044-023-00739-1

• S. Bera and S. Mukherjee. Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at roots of unity. Algebras and Representation Theory, 27, 723–744 (2024).  https://doi.org/10.1007/s10468-023-10235-9

• S. Mukherjee and S. Bera. Construction of Simple Modules over the Quantum Affine Space. Algebra Colloquium, 31:1 (2024) 1–10. https://doi.org/10.1142/S1005386724000026

• S. Bera and S. Mukherjee. Simple Modules over Second Quantized Weyl Algebras at roots of unity. Journal of Algebra and Its Applications.  https://doi.org/10.1142/S0219498825502238 

• S. Bera, S. Mandal and S. Nandy. Quantum Heisenberg Enveloping Algebras at roots of unity. Journal of Algebra, 649, 223-244 (2024) https://doi.org/10.1016/j.jalgebra.2024.03.010 

• S. Mukherjee and S. Bera. On Simple Modules over the PI quantized Weyl Algebras  (Under Review). https://arxiv.org/abs/2310.04048 

ACADEMIC ACHIEVEMENTS

• NBHM JRF Awarded, 2018.

• Qualified GATE - Mathematics, 2018.

SEMINAR AND SYMPOSIUM TALKS

• “Classification of simple modules over quantum affine space at roots of unity”- in Research Visit (August 2022) at Harish-Chandra Research Institute, Prayagraj. India.

• “Quantum Affine Space at Roots of Unity” – in Recent Advances in Mathematics and Its Applications (March 2022) at Department of Pure Mathematics, University of Calcutta.

• “Simple modules over the quantum affine space at roots of unity” - in National Symposium on Mathematics and Applications (December 2021) at IIT Madras, India.

• “Polynomial Identity Algebras and Representations” - in Student Colloquium (September 2021) at Department of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, West Bengal, India.

CONFERENCES/WORKSHOPS ATTENDED

• Algebraic and Combinatorial Methods in Representation Theory : ICTS-TIFR, Bengaluru, November 2023

• Research Visit  :  Harish-Chandra Research Institute, Prayagraj, July - August 2022

• AIS - Advanced Linear Algebra  :  ISI Bangalore, May 2022

• School on Cluster Algebras  :  ICTS-TIFR, Bengaluru, December 2018

TECHNICAL AND OTHER SKILLS

• Proficient in Python modules like Pandas, NumPy, and Matplotlib.

•  Proficient in computer algebra systems like SageMath.

•  Basic knowledge of C++.