Publications
1. Lambda-adic forms and the Iwasawa main conjecture (joint with Debargha Banerjee and Eknath Ghate), Guwahati Workshop on Iwasawa Theory of Totally Real Fields, Ramanujan Math. Soc. Lect. Notes Ser., (2010), no.12, 15-47 [pdf].
1. Lambda-adic forms and the Iwasawa main conjecture (joint with Debargha Banerjee and Eknath Ghate), Guwahati Workshop on Iwasawa Theory of Totally Real Fields, Ramanujan Math. Soc. Lect. Notes Ser., (2010), no.12, 15-47 [pdf].
2. (p,p)-Galois representations attached to automorphic forms on GL_n (joint with Eknath Ghate), Pacific Journal of Mathematics 252 (2011), no. 2, 379-406 [Journal Link].
2. (p,p)-Galois representations attached to automorphic forms on GL_n (joint with Eknath Ghate), Pacific Journal of Mathematics 252 (2011), no. 2, 379-406 [Journal Link].
3. Control theorems for ordinary 2-adic families of modular forms (joint with Eknath Ghate), Automorphic Representations and L-Functions, TIFR 2012, Hindustan Book Agency (2013), 231-261 [pdf].
3. Control theorems for ordinary 2-adic families of modular forms (joint with Eknath Ghate), Automorphic Representations and L-Functions, TIFR 2012, Hindustan Book Agency (2013), 231-261 [pdf].
4. On sign changes of q-exponents of generalized modular functions, Journal of Number Theory 133 (2013), no. 11, 3589-3597 [Journal Link] [Video Abstract].
4. On sign changes of q-exponents of generalized modular functions, Journal of Number Theory 133 (2013), no. 11, 3589-3597 [Journal Link] [Video Abstract].
5. A 2-adic control theorem for modular curves, International Journal of Number Theory 09 (2013), no. 6, 1605-1618 [Journal Link].
5. A 2-adic control theorem for modular curves, International Journal of Number Theory 09 (2013), no. 6, 1605-1618 [Journal Link].
6. A Note on Fourier-Jacobi coefficients of Siegel modular forms (joint with Sanoli Gun), Archiv der Mathematik 101 (2013), no. 6, 519-524 [Journal Link].
6. A Note on Fourier-Jacobi coefficients of Siegel modular forms (joint with Sanoli Gun), Archiv der Mathematik 101 (2013), no. 6, 519-524 [Journal Link].
7. Non-vanishing of derivatives of certain modular L-functions, Funct. Approx. Comment. Math. Vol 51 (2014), no. 1, 121–132 [Journal Link].
7. Non-vanishing of derivatives of certain modular L-functions, Funct. Approx. Comment. Math. Vol 51 (2014), no. 1, 121–132 [Journal Link].
8. A Note on the Fourier coefficients of half-integral weight modular forms (joint with Soma Purkait), Archiv der Mathematik 102 (2014), no. 4, 369-378 [Journal Link].
8. A Note on the Fourier coefficients of half-integral weight modular forms (joint with Soma Purkait), Archiv der Mathematik 102 (2014), no. 4, 369-378 [Journal Link].
9. Remarks on q-exponents of generalized modular functions, Funct. Approx. Comment. Math. Vol 53 (2015), no.2, 177-188 [Journal Link].
9. Remarks on q-exponents of generalized modular functions, Funct. Approx. Comment. Math. Vol 53 (2015), no.2, 177-188 [Journal Link].
10. p-adic analogues of the Birch and Swinnerton-Dyer conjecture (joint with Chandrakant Aribam). The computational and Theoretical aspects of elliptic curves, Peking University 2017, Mathematical Lectures from Peking University (2019), 31-44 [Journal Link].
10. p-adic analogues of the Birch and Swinnerton-Dyer conjecture (joint with Chandrakant Aribam). The computational and Theoretical aspects of elliptic curves, Peking University 2017, Mathematical Lectures from Peking University (2019), 31-44 [Journal Link].
11. On the gaps between non-zero Fourier coefficients of cusp forms of higher weight, The Ramanujan Journal, Vol 45 (2018), no.1, 95-109 [Journal Link].
11. On the gaps between non-zero Fourier coefficients of cusp forms of higher weight, The Ramanujan Journal, Vol 45 (2018), no.1, 95-109 [Journal Link].
12. On the gaps between non-zero Fourier coefficients of eigenforms with CM (joint with Surjeet Kaushik), International Journal of Number Theory 14 (2018), no. 1, 95--101 [Journal Link].
12. On the gaps between non-zero Fourier coefficients of eigenforms with CM (joint with Surjeet Kaushik), International Journal of Number Theory 14 (2018), no. 1, 95--101 [Journal Link].
13. Equidistribution of signs for Hilbert modular forms of half-integral weight (joint with Surjeet Kaushik and Naomi Tanabe), Research in Number Theory 4 (2018), no. 2, 4:13 [Journal Link].
13. Equidistribution of signs for Hilbert modular forms of half-integral weight (joint with Surjeet Kaushik and Naomi Tanabe), Research in Number Theory 4 (2018), no. 2, 4:13 [Journal Link].
14. A variant of multiplicity one theorems for half-integral weight modular forms, Acta Arithematica 190 (2019), no. 1, 75--85 [Journal Link].
14. A variant of multiplicity one theorems for half-integral weight modular forms, Acta Arithematica 190 (2019), no. 1, 75--85 [Journal Link].
15. Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms (joint with Surjeet Kaushik), Archiv der Mathematik 112 (2019), no. 3, 241-248 [Journal Link].
15. Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms (joint with Surjeet Kaushik), Archiv der Mathematik 112 (2019), no. 3, 241-248 [Journal Link].
16. On non-vanishing and sign changes of the Fourier coefficients of two Hilbert cusp forms (joint with Tarun Dalal). Topics in Number Theory, Ramanujan Math. Soc. Lect. Notes Ser., (2020), no. 26, 175--188 [arXiv].
16. On non-vanishing and sign changes of the Fourier coefficients of two Hilbert cusp forms (joint with Tarun Dalal). Topics in Number Theory, Ramanujan Math. Soc. Lect. Notes Ser., (2020), no. 26, 175--188 [arXiv].
17. On non-vanishing of the Fourier coefficients of primitive forms (joint with Tarun Dalal). The Special Issue of The Proceedings of Telangana Academy of Sciences, Vol. 01, No. 01, 2020, 52–-64 [pdf].
17. On non-vanishing of the Fourier coefficients of primitive forms (joint with Tarun Dalal). The Special Issue of The Proceedings of Telangana Academy of Sciences, Vol. 01, No. 01, 2020, 52–-64 [pdf].
18. On Mod p congruences for Drinfeld Modular forms of level pm (joint with Tarun Dalal), Journal of Number Theory 228 (2021), no. 11, 253 -- 275 [Journal Link] [Video Abstract]
18. On Mod p congruences for Drinfeld Modular forms of level pm (joint with Tarun Dalal), Journal of Number Theory 228 (2021), no. 11, 253 -- 275 [Journal Link] [Video Abstract]
19. On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient (joint with Satyabrat Sahoo), Canadian Math Bulletin 66 (2023), no. 2, 587--598 [Journal Link].
19. On generation of the coefficient field of a primitive Hilbert modular form by a single Fourier coefficient (joint with Satyabrat Sahoo), Canadian Math Bulletin 66 (2023), no. 2, 587--598 [Journal Link].
20. Notes on Atkin-Lehner theory for Drinfeld modular forms (joint with Tarun Dalal). Bulletin of the Australian Mathematical Society, Volume 108, issue 1, August 2023, 50--68 [Journal Link].
20. Notes on Atkin-Lehner theory for Drinfeld modular forms (joint with Tarun Dalal). Bulletin of the Australian Mathematical Society, Volume 108, issue 1, August 2023, 50--68 [Journal Link].
21. On Congruences and Linear relations for Drinfeld modular forms of level $\Gamma_0(T)$, arbitrary type (joint with Tarun Dalal). Proc. Japan Acad. Ser. A Math. Sci. 99 (1), 13-18 (January 2023)[Journal Link].
21. On Congruences and Linear relations for Drinfeld modular forms of level $\Gamma_0(T)$, arbitrary type (joint with Tarun Dalal). Proc. Japan Acad. Ser. A Math. Sci. 99 (1), 13-18 (January 2023)[Journal Link].
22. The structure of Drinfeld modular forms of level $\Gamma_0(T)$ and applications (joint with Tarun Dalal). Journal of Algebra 619 (2023) 778-798 [Journal Link].
22. The structure of Drinfeld modular forms of level $\Gamma_0(T)$ and applications (joint with Tarun Dalal). Journal of Algebra 619 (2023) 778-798 [Journal Link].
23. On the solutions of x^p+y^p=2^r z^p, x^p+y^p =z^2 over totally real fields (joint with Satyabrat Sahoo). Acta Arith. 212 (2024), no. 1, 31--47.[Journal Link].
23. On the solutions of x^p+y^p=2^r z^p, x^p+y^p =z^2 over totally real fields (joint with Satyabrat Sahoo). Acta Arith. 212 (2024), no. 1, 31--47.[Journal Link].
24. Lehmer-type bounds and counting rational points of bounded heights on Abelian varieties (joint with Satyabrat Sahoo). To appear in the International Journal of Number Theory [Journal Link].
24. Lehmer-type bounds and counting rational points of bounded heights on Abelian varieties (joint with Satyabrat Sahoo). To appear in the International Journal of Number Theory [Journal Link].
25. On the solutions of z^2=Bx^p+Cy^p, 2z^2=Bx^p+Cy^p over totally real fields (joint with Satyabrat Sahoo). To appear in the Ramanujan Journal [Journal Link].
25. On the solutions of z^2=Bx^p+Cy^p, 2z^2=Bx^p+Cy^p over totally real fields (joint with Satyabrat Sahoo). To appear in the Ramanujan Journal [Journal Link].
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