Lecture Notes

The following lecture notes can be downloaded from this page. More notes from here may be added in future.
Minor updates and corrections to these lecture notes are made from time to time.
To check if you have the latest version, please make sure that your download date is after the corresponding date given below of the last update. If you find any errors not incorporated in the latest version, or have any comments or suggestions, please send an e-mail to: srg@math.iitb.ac.in

• Aspects of Coding Theory, Preliminary Version of the notes of lectures in short courses given at NCM workshops at ISI Bangalore (July 2013) and IIIT Delhi (December 2017).

  [PDF File]   [Slides of 2 Lectures partly based on these notes]
  
  

• Introduction to Algebraic Geometry, Notes of a lecture for beginners (Univ. of Mysore and VJTI, Mumbai; March/October 2007), Mumbai, October 2007. (Last update: May 1, 2008)

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• Lectures on Commutative Algebra (NBHM Annual Foundational School-II, Pune, June 2006), Mumbai, July 2006. (Last update: April 28, 2008)

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• Lectures on Topics in Algebraic Number Theory (Univ. zu Kiel, Germany, Dec. 2001), Mumbai, January 2002. (Last update: May 3, 2008)

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• A Quick Review of Commutative Algebra (IIT Bombay, Dec. 1993), Mumbai, February 2000. (Last update: May 1, 2008)

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• (with J. K. Verma) Primary Decompositions of Modules (IIT Bombay, Dec. 1993), Mumbai, November 2000. (Last update: March 25, 2005)

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• Lectures on Field Theory and Ramification Theory (Univ. of Bombay, Dec. 1994), Mumbai, June 1995. (Last update: May 1, 2008)

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• Notes on Galois Theory (Bhaskaracharya Pratishthana, Pune, June 1991), Mumbai, October 1994. (Last update: May 1, 2008)

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