I am an Assistant Professor at the Indian Institute of Science Education and Research, Thiruvananthapuram. Prior to this, I spent ten months as an INSPIRE Faculty fellow at the Indian Statistical Insitute, Bangalore, two years as a postdoctoral fellow at Chennai Mathematical Institute (under the supervision of Prof. P. Rath) and over a year as a postdoctoral fellow at the University of Toronto, Toronto, Canada (under the supervision of Prof. V. Kumar Murty).

I did my PhD at the Institute of Mathematical Sciences, Chennai, India, under the supervision of Prof. S. Gun. The subject of my thesis was the study of Euclidean ideal classes appearing in the class groups of rings of integers. My research interests range over topics in Algebraic Number theory and Sieve methods.

My CV can be found here.

Publication list

1. Representing ideal classes of ray class groups by product of prime ideals of small size.

   J.-M. Deshouillers, S. Gun, O. Ramare and J. Sivaraman

   Mathematische Zeitschrift, 310 (2025), 310, pp 68.

2. On the refined Koblitz conjecture.

   S. Dey, A. Saha, J. Sivaraman and A. Vatwani

   Journal of Mathematical Analysis and Applications 546, Issue 1 (2025) 129-212.

3. An application of counting ideals in ray classes.

   S. Gun, O. Ramare and J. Sivaraman

   Acta Arithmetica 216 (2024), no. 2, 99–121.

4. A note on the two variable Artin's conjecture.

   S. Hazra, M. Ram Murty and J. Sivaraman

   Journal of Number Theory 262 (2024), 161-185

5. On Markoff type surfaces over number fields and the arithmetic of Markoff numbers.

   S. Kim, D. Schindler and J. Sivaraman

   Research Directions in Number Theory: Women in Numbers V, Eds. A. Bucur, W. Ho, R. Scheidler, Association for Women in Mathematics Series, Springer Cham (2024), 271-293

6. Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields.

   N. Kandhil, R. Lunia and J. Sivaraman

   Research in Number Theory 9 (2023), Paper no: 69.

7. Counting ideals in ray classes.

   S. Gun, O. Ramare and J. Sivaraman

   Journal of Number Theory 243 (2023), 13–37.

8. Euclidean ideal classes in Galois number fields of odd prime degree.

   V. Kumar Murty and J. Sivaraman

   Research in Number Theory 8 (2022), Paper no: 51.

9. Primitive roots for Pjateckii- Sapiro primes.

   Journal de Theorie des Nombres de Bordeaux 33 (2021), no. 1, 83-94.

10. On existence of Euclidean ideal classes in real cubic and quadratic fields with cyclic class group.

    S. Gun and J. Sivaraman

    Michigan Mathematical Journal 69 (2020), no. 2, 429-448.

11. On Euclidean ideal classes in certain Abelian extensions.

    J.-M. Deshouillers, S. Gun and J. Sivaraman

    Mathematische Zeitschrift 296 (2020), no. 1-2, 847-859.

12. Existence of Euclidean ideal classes beyond certain rank.

    Journal of Ramanujan Mathematical Society 34 (2019), no. 4, 427-432.

13. On Gerth's heuritics for certain quadratic extensions of a Galois number field of class number 1.

    C. G. K. Babu, R. Bera, J. Sivaraman and B. Sury

    (Submitted)

14. On the existence of near-primitive roots.

    (In preparation)