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Dr. Saudamini Nayak
Dr. Saudamini Nayak
Asst. Professor (Grade II), Research Interests: Lie Algebras
Office Address:
MAT 306 Department of Mathematics National Institute of Technology Calicut N.I.T. Campus P.O. 673601 Kozhikode, Kerala.
Contact no:
Email ID:
Home Address:
Qtr No:D-24 Department of Mathematics National Institute of Technology Calicut N.I.T. Campus P.O. 673601 Kozhikode, Kerala.
Ph.D. : National Institute of Technology Rourkela
Post-Doc: Harish-Chandra Research Institute Prayagraj (Allahabad)
Post-Doc: Institute of Mathematics and Applications Bhubaneswar (NBHM)
Educational Qualifications
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Ph.D. : National Institute of Technology Rourkela
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Post-Doc: Harish-Chandra Research Institute Prayagraj (Allahabad)
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Post-Doc: Institute of Mathematics and Applications Bhubaneswar (NBHM)
Journals
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S. Nayak, Weyl modules for queer Lie superalgebras, J. Algebra, 678 (15) (2025) 196-223.
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R. N. Padhan, I. Y. Hasan and S. Nayak, Capability of nilpotent Lie superalgebras of small dimension, Comm. Algebra, 52(9) (2024), 3960-3969.
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S. Nayak, On isoclinism and Baer's theorem for Lie superalgebras, Publ. Math. Debrecen, 102 (1-2)(2023), 219-236.
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R. N. Padhan and S. Nayak, On capability and the Schur multiplier of some nilpotent Lie superalgebras, Linear Multilinear Algebra, 70(8) (2022), 1467-1478.
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S. Nayak, Classification of finite dimensional nilpotent Lie superalgebras by their multipliers, J. Lie Theory, 31(2) (2021), 439--458.
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R. N. Padhan, S. Nayak, and K.C. Pati, Detecting capability of Lie superalgebras, Comm. Algebra, 49(10)(2021), 4274--4290.
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S. Nayak, R. N. Padhan and K.C. Pati, Some properties of isoclinism in Lie superalgebras, Comm. Algebra, 48(2) (2020) 523-537.
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S. Nayak, Multipliers of nilpotent Lie superalgebras, Comm. Algebra, 47(2) (2019) 689-705.
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S. Nayak and K.C. Pati, Affine Kac-Moody symmetric spaces related with $A_{1}^{(1)}, A_{2}^{(1)},A_{2}^{(2)}$, J. Math. Phys., 55(8) (2014) 081701.
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S. Nayak and K.C. Pati, Embedding of simply-laced hyperbolic Kac-Moody superalgebras, J. Math. Phys., 54(3) (2013) 033508.
My main area of research is Lie Algebras and superlagebras. Mainly, I am interested in the following topics:
- Representation theory of Lie algebras and superalgebras
- Classification of nilpotent Lie superalgebras
- Kac-Moody algebras
- Applications to number theory and combinatorics
- International Congress of Mathematicians 2026 Travel Grant
Funding by: Simons Foundation, International Mathematical Union, and American Mathematical Society
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Project Title: Weyl Modules for Equivariant map Lie superalgebras
Funding Agency: Science & Engineering Research Board (SERB), Department of Science and Technology, Government of India.
Amount: Rs.13,04,109/- (Sanction order No. SRG/2023/002255)
Duration: 24 months (2024-2026), Status: Ongoing.
- Chebyshev 2022 Travel Grant to attend ICM 2022
Funding by: The Organizing Committee of the International Congress of Mathematicians 2022.
- TOGETHER Travel Grant to attend ICM 2014
Funding by: The Organizing Committee of the Seoul International Congress of Mathematicians 2014.
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NBHM Post-Doctoral Fellowship by NBHM, Govt. of India in 2018.
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Awarded HRI Post-Doctoral Fellowship by HRI Allahabad, India in 2016.
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Awarded Erusmus Mundus Action 2 NAMASTE scholarship for a research visit of 10 months to G"{o}ttingen University, Germany in 2014.
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Awarded Inspire Fellowship, DST, Govt. of India in 2011 (Not availed).
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Qualified GATE in Mathematics, MHRD, Govt. of India.
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Awarded Gold Medal in M.Sc., Sambalpur University, Odisha.
- International Conference on Lie Algebras and Number Theory, June 10-14, 2024, NIT Calicut (with Sudhansu Sekhar Rout and Chiranjit Ray).
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Department Examination Time Table in-charge (February 2025- February 2027)
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Department Library in-charge (February 2023- February 2025)