Velmurugan S

I am a PhD student at the Institute of Mathematical Sciences. My supervisor is Prof. Amritanshu Prasad. I am interested in Representation theory and combinatorics. Currently, I am more interested in the representation theory of Lie algebras.

Get in touch at velmurugan@imsc.res.in

 

You may be interested to look at https://sites.google.com/view/velmurugans.

Publications

1. Existence of Elementwise Invariant Vectors in Representations of Symmetric Groups (with Amrutha P and Amritanshu Prasad) 

    ( Algebraic Combinatorics, to appear, 2024) (https://arxiv.org/pdf/2308.08146.pdf)

Preprints

1. Generators for the Algebra of Symmetric Functions.

    (https://arxiv.org/pdf/2403.06468.pdf)

2. Cyclic Characters of the Alternating Groups  (with Amrutha P and Amritanshu Prasad).

     (https://arxiv.org/pdf/2403.05109.pdf)

Talks and Posters

1.  Generators for the Algebra of Symmetric Functions

       Meru Combinatorics conference 2023: Contributed talk. 

Teaching

1. Teaching Assistant. TEW - Linear Algebra and Discrete Mathematics 2023.

2. Teaching Assistant. AIS - Advanced Topics in Finite Fields 2023.

Education

1. M.Sc. Mathematics, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, 2019-2021.

2. B.Sc. Mathematics, Ramakrishna Mission Vivekananda College, 2016-1019.