Dr Srilakshmi Krishnamoorthy
Assistant Professor Grade I (Maths)
  +91 (0)471 - 2778149
  srilakshmi@iisertvm.ac.in

Research Interests:

Number theory, arithmetic geometry, elliptic curves, modular forms and Galois representations.

Publications:

1.  Note on the p-divisibility of class numbers of an infinite family of imaginary quadratic fields. (with P. Sunil Kumar). To appear in Glasgow Journal of Mathematics.

2.  Some congruences for (S,T)-regular bipartitions modulo T. (with T. Kathiravan), Integers, 2021. Paper No. A15, 14 pages.

3. Some new congruences for l-regular partitions modulo 13, 17, and 23. (with S. Abinash and T. Kathiravan, Hardy-Ramanujan Journal, 2019, volume 42,73 – 84.

4. Lifting congruences to weight 3/2 (with Neil Dummigan). Journal of Ramanujan Mathematical Society. Dec. 2017, 431– 440.

5. A note on the coefficients of a Cohen-Eisenstein series, International Journal of Number Theory, vol. 12, no. 5, 2016, 1149 – 1161.

6. On sign changes for almost prime coefficients of half-integral weight modular forms (with Ram Murty), Mathematika, vol 62, no. 03, 2016, 801 – 810.  

7. On the Eisentein elements of level a product of two distinct primes(with Debargha Banerjee), Pacific Journal of Mathematics, 281, 2016, 257 – 285.

8. On subfields of the modular function fields, Bulletin of Kerala Mathematics Association, 2013, 33 – 40.

9. Powers of 2 in modular degrees of modular abelian varieties (with N. Dummigan), Journal of Number Theory, no.2. 2013, 501 – 522.

10. On Davenport’s constant (with P. Rath and R. Thangadurai), International Journal of Number Theory, 2008, no. 1, 107 – 115.

11.  Modular degrees of elliptic curves, Proquest LLC, Ann Arbor, MI, 2011. Thesis (Ph.D.) - Sheffield University, U.K. 97 pp.