AFS-I - Annual Foundation School - I (2023)

Speakers and Syllabus

 Syllabus and Speakers

1. Algebra:
   We will cover most of the material found in Chapters 6-9 of the following book:Michael Artin, Algebra, second edition, Pearson, 2010.
   • Speakers:
     1. Prof. Dilip P. Patil: Ret’d. Prof. IISc, Distinguised Prof., GITAM University, Bengaluru.(DP) : Week 1 , Week 2 and Week 3 : 04 - 23, Dec 23.
     2. Prof. Jugal K. Verma: Professor, IIT Bombay, Mumbai.(JKV) : Week 4 : 25 - 30, Dec 23.
   • Course Associates:
     1. Dr. Nikhilesh Dasgupta: GITAM University, Bengaluru.
     2. Dr. Arindam Dey: GITAM University, Bengaluru.
     3. Dr. Animesh Lahiri: Asst. Prof., GITAM University, Bengaluru.
   • References:
     1. M. Artin: Algebra, Pearson, Second Edition, 2010.
     2. I. N. Herstein: Abstract Algebra, Prentice-Hall, Third Edition, 1996.
     3. T. W. Hungerford: Algebra, Springer, Fourth Edition, 2003.
     4. S. Lang: Algebra, Springer, Revised Third Edition, 2005.
     5. N. Jacobson, Basic Algebra I, Second Edition, W. H. Freeman and Company, New York.
         
2. Analysis:
   We will cover most of the material found in Chapters 1-4 of the following book: E.M. Stein and R. Shakarchi, Complex Analysis, Princeton University Press, 2003
   • Speakers:
     1. Dr. Koushik Ramachandran: TIFR CAM.(KR) : Week 1: 04 - 09, Dec 23.
     2. Dr. K. Senthil Kumar, NISER, Bhubaneswar.(KSK) : Week 2: 11 - 16, Dec 23.
     3. Prof. Vikas Bist, Distingushed Professor, GITAM University, Visakhapatnam. (VB) : Week 3 and Week 4: 18 - 30, Dec 23.
   • Course Associates:
     1. Dr. Sneh Bala Sinha: GITAM University, Bengaluru.
     2. Dr. Priyabrata Bag: GITAM University, Bengaluru.
     3. Dr. Harish Srivastava: GITAM University, Bengaluru.
     4. Dr. Samir Kumar Hazra: GITAM University, Bengaluru.
   • References:
     1. L. V. Ahlfors: Complex Analysis, McGraw Hill, Third Edition, 2017.
     2. W. Rudin: Real and Complex Analysis, McGraw Hill, Third Edition, 2017.
     3. A. R. Shastri: Basic Complex Analysis of One Variable, Macmillan Publ. Ind. Ltd..
3. Topology:
   We will cover most of the material found in Chapters 1-7 and Chapter 4 of the following books, respectively: G. F. Simmons, Introduction to Topology and Modern Analysis, McGraw-Hill, 1983. M. A. Armstrong, Basic Topology, Springer International Edition.
   • Speakers:
     1. Prof. Soumen Sarkar: IIT Madras (SS) : Week 1: 04 - 09, Dec23.
     2. Prof. Kashyap Rajeevsarathy: IISER Bhopal.  (KRaj) : Week 2: 11 - 16, Dec23.
     3. Prof. Tarun Kumar Das: University of Delhi.  (TKD) : Week 3: 18 - 23, Dec23.
     4. Dr. Ramesh Kasilingam: IIT Madras.  (RK) : Week 4: 25 - 30, Dec23.
   • Course Associates:
     1. Dr. Pramod Kumar Das: GITAM University, Bengaluru.
     2. Dr. Jyotirmoy Ganguly: GITAM University, Bengaluru.
     3. Dr. Joydip Saha: GITAM University, Bengaluru.
     4. Dr. Raj Bhawan Yadav: GITAM Univesity, Bengaluru.
   • References:
     1. G. F. Simmons, Introduction to Topology and Modern Analysis, McGraw-Hill, 1983.
     2. M. A. Armstrong, Basic Topology, Springer International Edition.
     3. James R. Munkres, Topology, second edition, Prentice Hall, 2000.
     4. James Dugundji, Topology, Prentice Hall (1 December 1966), ISBN-13 : 978-0205002719

Time Table

Week 1 : 04 Dec – 09 Dec 23

Week 2 : 11 Dec – 16 Dec 23

Week 3 : 18 Dec – 23 Dec 23

 Week 4 : 25 Dec – 30 Dec 23