1. Name : Amartya Kumar Dutta

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1 1. Name : Amartya Kumar Dutta 2. Designation : Professor 3. Unit : Stat-Math Unit 4. Address for Communication : Stat-Math Unit Indian Statistical Institute 203, B.T. Road Kolkata amartya@isical.ac.in Telephone Number : Educational Qualification : Ph.D. in Mathematics from the University of Bombay (Institute : TIFR). Ph.D. Awarded : December 1994 Title of Ph.D. Thesis : Problems in Algebra: On Affine Fibrations and Linear Planes over a D.V.R. Name of the Guide : Prof. S.M. Bhatwadekar, TIFR. 1

2 PUBLICATIONS IN COMMUTATIVE ALGEBRA 1. (with S.M. Bhatwadekar), On Residual Variables and Stably Polynomial Algebras, Communications in Algebra, 21(2) (1993), p ; MR 93k: (with S.M. Bhatwadekar), Linear Planes over a Discrete Valuation Ring, Journal of Algebra, 166(2) (1994), p ; MR 95e: (with S.M. Bhatwadekar), On Affine Fibrations, in Commutative Algebra (ed. A. Simis, N.V. Trung, G. Valla): Conf. Comm. Algebra ICTP (1992), World Sc., 1994, p. 1-17; MR 97g: (with S.M. Bhatwadekar), On A 1 -fibrations of subalgebras of polynomial algebras, Compositio Mathematica, 95(3) (1995), p ; MR 96c: On A 1 -bundles of Affine Morphisms, Journal of Mathematics of Kyoto University, 35(3) (1995), p ; MR 96j: (with S.M. Bhatwadekar), Kernel of Locally Nilpotent R-Derivations of R[X, Y ], Transactions of the American Mathematical Society, 349(8) (1997), p ; MR 97m: (with S.M. Bhatwadekar), Structure of A -fibrations over one-dimensional seminormal semilocal domains, J Algebra, 220(2) (1999), p ; MR 2000j: (with S.M. Bhatwadekar), On A -fibrations, Journal of Pure and Applied Algebra, 149 (2000), p. 1-14; MR 2001h: On Separable A 1 -forms, Nagoya Math J., 159 (2000), p ; MR 2001j: Some Results on Affine Fibrations, Advances in Algebra and Geometry (ed. C.Musili): Conf. on Algebra and Geometry, Univ. Hyderabad (2001), HBA (2003), p. 7 24; MR 2004h: Some Results on Subalgebras of Polynomial Algebras, Contemporary Mathematics 390 (2005), p ; MR 2007a: (with N. Onoda) Some results on codimension-one A 1 -fibrations, J Algebra, 313 (2007), p ; MR 2008f:

3 13. (with N. Onoda) On finite generation of R-subalgebras of R[X], J. Algebra, 320 (2008), p ; MR 2009c: (with P. Das) On codimension-one A 1 -fibration with retraction, J. Commutative Algebra, 3(2) (2011), p (with P. Das) Planes of the form gz n f over a DVR, J. Commutative Algebra, to appear. 16. (with S.M. Bhatwadekar and N. Onoda) On algebras which are locally A 1 in codimension-one, Transactions of the American Mathematical Society, to appear. 17. (with N. Gupta and N. Onoda) Some patching results on algebras over two-dimensional factorial domains, Preprint. Areas of Research Interest in Commutative Algebra Affine Fibrations, Subalgebras of polynomial algebras, Embedding Problems, Automorphism of Affine Spaces, Locally Nilpotent Derivations. Mathematical Reviews Have been regularly contributing to the Math Reviews since Lecture Notes on Algebra 1. Introduction to Commutative Rings, Refresher Course in University of Calcutta, February History of Algebra, Refresher Course in University of Calcutta, August Rings and Ideals: Stray Remarks, National Seminar on Perspectives in Mathematics at RKM Vidyamandira, Belur, February

4 PUBLICATIONS IN HISTORY OF MATHEMATICS Research Publications in History of Mathematics 1. Brahmagupta s Bhavana, Contributions to the History of Indian Mathematics (ed. G.G. Emch, R. Sridharan, M.D. Srinivas), Culture and History of Mathematics 3, Hindustan Book Agency (2005), p The volume is based on the History of Indian Mathematics session of the first Joint Indo AMS meeting in Mathematics held in Bangalore (December 2003). 2. Kuṭṭaka, Bhāvanā and Cakravāla, Studies in the History of Indian Mathematics (ed. C.S. Seshadri), Culture and History of Mathematics 5, Hindustan Book Agency (2010), p Nārāyaṇa s treatment of varga-prakṛti, Indian Journal of History of Science, to appear. Publications for Journal of Science Education 1. Mathematics in Ancient India: An Overview, Resonance 7(4) (April 2002), p Diophantine Equations: The Kuttaka, Resonance 7(10) (October 2002), p Diophantine Equations: The Samasabhavana, Resonance 8(11) (November 2003), p and 9(1) (January 2004), p Aryabhata and Axial Rotation of Earth: Khagola (The Celestial Sphere), Resonance 11(3) (March 2006), p Aryabhata and Axial Rotation of Earth: Nakṣatra Dina (The Sidereal Day), Resonance 11(4) (April 2006), p Āryabhaṭa s Alphabetical Coding of Large Numbers, Resonance 11(4), April 2006, p Aryabhata and Axial Rotation of Earth: A Brief History, Resonance 11(5) (May 2006), p

5 Publications on History of Mathematics for Cultural Journals 1. Turning Points in Mathematics Historical Perspectives I, Srinvantu XLVXIV(1), February 2002, p Turning Points in Mathematics Historical Perspectives II, Srinvantu XLVXIV(2), August 2002, p Turning Points in Mathematics Historical Perspectives III, Srinvantu, 125th Birth Anniversary of the Mother and Golden Jubilee Special Number, p Medhātithi, Piṅgala, Āryabhaṭa and Brahmagupta, Shraddha 2, Feb Apr 2005, p Mathematics in Ancient India, Mother India LIX(4), April 2006, p Bijaganita of Bhaskaracharya, Prabuddha Bharata 112(9), September 2007, p The Abel Laureate Srinivasa Varadhan, Shraddha 4(3), November 2007, p Powers of Ten: Genesis and Mystic Significance, Srinvantu 58(2), August 2008, p Lecture Notes on History of Indian Mathematics and Science 1. Mathematics in Ancient India: Some Diophantine Equations, NBHM World Mathematical Year Lecture at the Ramakrishna Mission College, Narendrapur, in December Mathematics in Ancient India: Some Glimpses, for the Indology course of the Ramakrishna Mission Institute of Culture, Kolkata (from 2008). 3. Brahmagupta s Contributions to Algebra, R.C. Gupta Endowment Lecture organised by the Association for Mathematics Teachers of India (AMTI) in December Science in Modern India: Some Notes, for the Indology course of the Ramakrishna Mission Institute of Culture, Kolkata (from 2011). 5

6 Book Reviews on History of Indian Mathematics 1. Indian Mathematics and Astronomy, Some Landmarks by S. Balachandra Rao, in The Vedanta Kesari 94(9), September 2007, p Bhaskaracharya s Bijaganitham by V.B. Panicker, in Prabuddha Bharata 112(9), September 2007, p Articles for Students Magazines 1. Roots of Some Mathematical Terms, Canvas (2005), p OTHER CULTURAL PUBLICATIONS 1. Goethe s Epigram on Shakuntala, Canvas (2007), p Prof. Nadkarni, We Do Hear You, Mother India LXI(7), July 2008, p

Invited Lectures Delivered (Selected Only):

1 Invited Lectures Delivered (Selected Only): Department of Chemistry, Indian Institute of Technology Bombay on April 11, 2016 National Symposium on Facets of Chemistry in Biology (FOCB-2016) held at St.