I.

1. ``Lectures on Algebraic Geometry for Scientists and Engineers'', notes by C. Bajaj and S. R. Ghorpade, Purdue University, February 1986.

2. ``Lectures on Algebraic Geometry'', notes by S. R. Ghorpade, Tata Institute of Fundamental Research, Bombay, November-December 1987.

3. ``Lectures on Algebraic Curves and Functions I'', notes by S. R. Ghorpade, Purdue University, Fall 1987.

4. ``Lectures on Algebraic Curves and Functions II'', notes by S. R. Ghorpade, Purdue University, Spring 1988.

II. **Lecture Notes on Topics in Mathematics ^{2}
**

1. ``Algebraic Preliminaries for Number Theory: Galois Theory and Ramification Theory'', All India Summer School on Number Theory, Bhaskaracharya Pratishthana-University of Poona, Pune, June 1991.

2. ``Lectures on Representation Theory of Finite Groups'', notes by M. R. Modak, UGC Refresher Course in Algebra, University of Poona, Pune, July 1993.

3. ``Lectures on Commutative Algebra'', NBHM Instructional Conference on Combinatorial Topology and Algebra, Indian Institute of Technology, Bombay, December 1993.

4. ``Lectures on Primary Decompositions of Modules'', notes by S. R. Ghorpade and J. K. Verma, NBHM Instructional Conference on Combinatorial Topology and Algebra, Indian Institute of Technology, Bombay, December 1993.

5. ``Notes on Galois Theory'', Indian Institute of Technology, Bombay, October 1994.

6. ``Lectures on Field Theory and Ramification Theory'', NBHM Instructional School on Algebraic Number Theory, University of Bombay, Bombay, December 1994.

7. ``Resultants and Discriminants'', Workshop in Mathematics, Indian Institute of Technology, Bombay, November 1995.

8. (joint with B. V. Limaye) ``Notes on Calculus'', Indian Institute of Technology, Bombay, November 1997.

9. ``First and Second Fundamental Theorems of Invariant Theory'', NBHM Winter School on Algorithms in Invariant Theory and Algebraic Geometry, University of Pune, December 1999.

10. ``Lectures on Topics in Algebraic Number Theory'', Mathematisches Seminar II, Christian Albrechts Universität zu Kiel, Kiel, Germany, January 2002.

11. ``Zeta functions of curves over finite fields'', Mini Workshop on Curves over Finite Fields, University of Mumbai, Mumbai, July 2003.

12. ``Dimension Theory of Affine Algebras'', Advanced Instructional School in Commutative Algebra and Algebraic Geometry, IIT Bombay, Mumbai, July 2005

13. ``Equations over Finite Fields'', Refresher Course on Finite Fields and their Applications, University of Mumbai, Mumbai, March 2006.

14. ``Lectures on Commutative Algebra'', Second Annual Foundation School in Mathematics, Bhaskaracharya Pratishthana and the University of Pune, Pune, June 2006.

15. ``Field and Galois Theory'', First ATM School for Lecturers in Algebra and Linear Algebra, Indian Institute of Technology Bombay, Mumbai, June-July 2006.

16. ``Convexity, Concavity and Differentiability of Functions of Several Variables'', ATM School for Lecturers in Multivariable Calculus, University of Pune, Pune, November 2006.

17. ``Introduction to algebraic geometry'', Science Special Lecture Series of the Karnataka Academy of Science and Technology, University of Mysore, Mysore, March 2007 AND Short Term Training Programme on Advances in Control Theory, Veermata Jijabai Technological Institute (VJTI), Mumbai, October 2007.

^{1} The
four sets of lecture notes listed here were prepared during 1986-88,
and were typeset and privately circulated.
These notes form a basis of Abhyankar's book
Algebraic Geometry for Scientists and
Engineers published by the American
Mathematical Society in 1990.

^{2} The notes
listed here are based on lectures at various conferences/workshops,
and these have been typeset and privately circulated.
Unless mentioned otherwise, the notes are also written by S. R. Ghorpade.
The notes in item 5 were prepared for pre-conference distribution to the
participants of
the Instructional School on Algebraic Number Theory (Bombay Univ.,
1994-95) while those in item 8 were prepared for the B.Tech. course
`Mathematics I' at IIT Bombay, with partial support from the Curriculum
Development Programme at IIT Bombay.

Link to the Downloadable List of Lecture Notes

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