- Commutative Algebra
- Algebraic Combinatorics
- Graph Theory
Experience top of the world living and learning at SRM University-AP
+91-863-2343000
080-6988-6999 (admissions)
Email: admissions@srmap.edu.in
SRM University-AP, Neerukonda,
Mangalagiri Mandal, Guntur District, Andhra Pradesh - 522240
- June 2023 to June 2025 – NBHM Postdoctoral Fellow – Chennai Mathematical Institute
- Feb 2023 to May 2023 – Institute Postdoctoral Fellow – Indian Institute of Technology Gandhinagar
- Commutative Algebra, with a particular emphasis on its combinatorial aspects, such as ideals associated with finite simple graphs.
- Investigating algebraic properties such as Cohen-Macaulayness, Gorenstein properties, and homological invariants like Castelnuovo-Mumford regularity, depth, and dimension of various graph-related ideals, including edge ideals, binomial edge ideals, path ideals, connected ideals, and their powers, symbolic powers, integral closure powers, etc.
- Studying the v-number (Vasconcelos number), a relatively recent invariant with connections to coding theory and algebraic geometry.
- Generalised binomial edge ideals, square-free or matching powers, and the multigraded syzygies of monomial ideals.
- 2023 – NBHM Postdoctoral Fellowship – National Board for Higher Mathematics (NBHM)
- 2023 – Awarded travel grant for International conference at ICTP, Italy – IIT Gandhinagar
- 2022 – Awarded travel grant for International conference at Gebze Technical University, Turkey – IIT Gandhinagar
- 2017 – CSIR/UGC NET(JRF) – Council of Scientific & Industrial Research (CSIR)
- 2017 – GATE – Ministry of Human Resource Development (MHRD)
- 2017 – First rank holder in M.Sc. Mathematics – Aliah University
Published Articles
- Kumar, M., Nanduri, R., Saha, K., The slope of the v-function and the Waldschmidt constant, Journal of Pure and Applied Algebra, 29 (2025), no. 2, Paper No. 107881. (https://doi.org/10.1016/j.jpaa.2025.107881)
- Kumar, M., Nanduri, R., Saha, K., Componentwise linearity of edge ideals of weighted oriented graphs, Journal of Algebraic Combinatorics, 61 (2025), no. 33. (https://doi.org/10.1007/s10801-025-01401-x)
- Dey, D., Jayanthan, A. V., Saha, K., On the v-number of binomial edge ideals of some classes of graphs, International Journal of Algebra and Computation, 35 (2025), no. 1, 119–143. (https://doi.org/10.1142/S0218196724500607)
- Saha, K., The v-number and Castelnuovo-Mumford regularity of cover ideals of graphs, International Mathematics Research Notices (IMRN), (2024), no. 11, 9010–9019. (https://doi.org/10.1093/imrn/rnad277)
- Saha, K., Sengupta, I., Cohen-Macaulay property of binomial edge ideals with girth of graphs, Journal of Algebra, 658 (2024), 533–555. (https://doi.org/10.1016/j.jalgebra.2024.05.056)
- Anuvinda, J., Mehta, R., Saha, K., On a regularity-conjecture of generalized binomial edge ideals, Collectanea Mathematica, (2024). (https://doi.org/10.1007/s13348-024-00452-w)
- Anuvinda, J., Mehta, R., Saha, K., On the depth of generalized binomial edge ideals, Mediterranean Journal of Mathematics, 21 (2024), no. 5, Paper No. 147. (https://doi.org/10.1007/s00009-024-02685-2)
- Kotal, N., Saha, K., On the v-number of Gorenstein ideals and Frobenius powers, Bulletin of the Malaysian Mathematical Sciences Society, 47 (2024), no. 6, Paper No. 167. (https://doi.org/10.1007/s40840-024-01763-8)
- Saha, K., Cohen-Macaulay weighted oriented chordal and simplicial graphs, Archiv der Mathematik (Basel), 122 (2024), 591–597. (https://doi.org/10.1007/s00013-024-01990-2)
- Ambhore, S. B., Saha, K., Sengupta, I., The v-number of binomial edge ideals, Acta Mathematica Vietnamica, 49 (2024), no. 4, 611–628. (https://doi.org/10.1007/s40306-024-00540-w)
- Saha, K., Sengupta, I., Cohen-Macaulay binomial edge ideals in terms of blocks with whiskers, Journal of Algebra and Its Applications, (2024). (https://doi.org/10.1142/S0219498825502949)
- Saha, K., Sengupta, I., Cohen-Macaulay weighted oriented edge ideals and its Alexander dual, Journal of Algebra and Its Applications, (2024). (https://doi.org/10.1142/S0219498825502937)
- Saha, K., Sengupta, I., The v-number of monomial ideals, Journal of Algebraic Combinatorics, 56 (2022), no. 3, 903–927. (https://doi.org/10.1007/s10801-022-01137-y)
Accepted Articles
- Das, K. K., Roy, A., Saha, K., On the path ideals of chordal graphs, accepted in Journal of Algebraic Combinatorics (2025). (https://arxiv.org/abs/2405.15897)
- Saha, K., Binomial expansion and the v-number, accepted in Communication in Algebra (2025). https://arxiv.org/abs/2405.15897
- Saha, K., Sengupta, I., Closed Cohen-Macaulay completion of binomial edge ideals, accepted in Algebra Colloquium (2023). https://arxiv.org/abs/2104.14143
Reviewer of Journals
- Discrete Mathematics, European Journal of Combinatorics, Collectanea Mathematica, Journal of Algebraic Combinatorics, Journal of Algebra and Its Applications, Bulletin of the Malaysian Mathematical Sciences Society
- E-mail id: kamalesh.s@srmap.edu.in