I am an Assistant Professor at the Indian Institute of Science Education and Research, Thiruvananthapuram. Before this, I spent two years as a postdoctoral fellow at the Chennai Mathematical Insitute, Chennai, India and a year and a half at the University of Toronto, Toronto, Canada.

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.

Teaching experience

• Accepted papers:

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

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

   Ramanujan Journal, 68 (2025), article number 1.

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

   J.-M. Deshouillers, S. Gun, O. Ramaré, J. Sivaraman

   Mathematische Zeitschrift, 310 (2025), pp 68.

3. On the refined Koblitz conjecture

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

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

4. An application of counting ideals in ray classes

   S. Gun, O. Ramaré, J. Sivaraman.

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

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

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

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

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

   S. Kim and D. Schindler, 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

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

   N. Kandhil, R. Lunia, J. Sivaraman

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

8. Counting ideals in ray classes

   S. Gun, O. Ramaré, J. Sivaraman

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

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

   V. Kumar Murty, J. Sivaraman

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

10. Primitive roots for Pjatecki\u \i-\v Sapiro primes

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

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

    S. Gun, J. Sivaraman

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

12. On Euclidean ideal classes in certain Abelian extensions

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

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

13. Existence of Euclidean ideal classes beyond certain rank

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

• Submitted papers:

1. Diophantine approximation with primes in an arithmetic progression

   D. Mazumder, J. Sivaraman

   (Submitted)

• Work in progress:

1. On the existence of near-primitive roots

   (In preparation)