"How come stealing from one book is plagiarism, but stealing from many is research?"

-Alfred E. Neuman

Publications and Preprints

  • Relations among Heegner Cycles on families of abelian surfaces. Compostio Mathematica 127,(2001) pp 243-271.

  • An analogue of circular units for products of elliptic curves. (with S.Baba) - Proceedings of the Edinborough Mathematical Society(2) 47,(2004), no. 1, 35--51.

  • A geometric construction of S-units in Number fields.

  • Values of multiple L-functions and periods of integrals.

  • K1 of products of Drinfel'd modular curves and special values of L-functions. - Compositio Mathematica, volume 146,(2010) issue 04, pp. 886-918.

  • Non-Archimedean regulator maps and special values of L-functions. - Proceedings of the International Colloquium on Motives and Shimura Varieties, TIFR Mumbai, January 2008.

  • Iterated integrals and higher order automorphic forms (with N. Diamantis) - Commentarii Mathematici Helvetici, 86, (2006)

  • A non-Archimedean analogue of the Hodge-D-conjecture for products of elliptic curves. - Journal of Algebraic Geometry, 17 (2008) 781-798.

  • Higher order modular forms and mixed Hodge theory - Acta Arithmetica, vol.139, Number 4, 2009, 321-340.

  • Essential Dimension of Abelian Varieties over Number Fields (with P.Brosnan.) - Comptes rendus de l'Académie des sciences- Mathematics (346) 2008, 7-8, 417-420.

  • Higher Chow cycles on Abelian Surfaces and the non-Archimedean Hodge-D-conjecture - Compositio Mathematica, volume 150 (2014), no 4, 691-711.

  • The fundamental group and extensions of motives of Jacobians of curves.(with Subham Sarkar) Proc. Indian Acad. Sci. Math. Sci.130(2020), no.1, Paper No. 18, 36 pp.

  • Abelian surfaces and the non-Archimedean Hodge-D-conjecture - the semi-stable case. Rend. Semin. Mat. Univ. Padova152(2024), 145-165.

  • Indecomposable cycles on degree 2 K3 surfaces to appear in Proceedings of the Trimester on Geometry and Arithmetic of Calabi-Yau threefolds, Bhaskaracharya Pratishthana.

  • Old and New motivic cycles on Abelian surfaces. to appear in Mathematical Proceedings of the Indian Academy of Sciences.

  • Singularities of Feynman Integrals. (with Tanay Pathak) The European Physical Journal - special topics. DOI

  • Motivic cycles on K3 double covers of del Pezzo Surfaces. submitted.

  • Algebraic Cycles and Values of Green's Functions - Product of Elliptic Curves. submitted.

  • Algebraic Cycles and Values of Green's Functions II - Simple Abelian Surfaces. under revision.
  • rameshsreekantan@gmail.com

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