Notes of Lectures

1. R. P. Stanley's solution of the ADG conjecture: Pune (2003) PDF File

2. Zariski-Lipman theory of complete ideals IIT Bombay (2003) PDF file

3. Invariants of finite groups : Pune (2000) PDF file

4. Mixed multiplicities of ideals: Rees conference at Exeter (1998) PDF file

5. Complete intersections in regular local rings: IISc. Bangalore (1996) PDF file

6. Notes on face rings of simplicial complexes : IIT Bombay (1993) PDF file

Pre-prints of papers

1. On Fiber cones of m-primary ideals (with T. Puthenpurakal and A. V. Jayanthan) PDF file

2. Fiber cones of ideals with almost minimal multiplicity (with A. V. Jayanthan)
   To appear in the Nagoya Mathematical Journal PDF file

3. Hilbert coefficients and depth of form rings (with A. V. Jayanthan and B. Singh)
   Comm. Algebra 32(2004), 1445-1452. PDF file

4. Hilbert coefficients and depth of fiber cones (with A. V. Jayanthan)
   To appear in the Journal of Pure and applied algebra PDF file

5. Local cohomology of bigraded Rees algebras (with A. V. Jayanthan)
   Advances in Algebra and Geometry Proceedings of the Hyderabad Conference, 2002 PDF file

6. Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras (with A. V. Jayanthan)
   J. Algebra 254(2002),1-20. PDF file

7. Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity (with C. D'Cruz)
   J. Algebra 251(2002),98-109. PDF file

8. On a Theorem of Macaulay on Colons of Ideals
   Contributions to Algebra and Geometry 43(2002), 579-581. PDF file

9. On the number of generators of Cohen-Macaulay ideals (with C. D'Cruz) Proc. Amer Math. Soc. 128 (2000),3185-3190. PDF file

10. Cohen-Macaulay fiber cones (with C. D'Cruz and K. N. Raghavan)
    Commutative Algebra, Algebraic Geometry and Computational Methods, Springer-Verlag, (1999), 233-246. PDF file

11. Mixed Hilbert Coefficients of Ideals generated by d-sequences and Quadratic Sequences (with Raghavan, K. N.)
    J. Algebra 193 (1997), 211-232. PDF file

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