Invited Talks and Conference Presentations


1.
``Ideas in integration'', Mathematics Association Seminar Series, Indian Institute of Technology, Bombay, January 1984.

2.
``Generalized Young tableaux and higher dimensional determinants'' John H. Barrett Memorial Lectures, University of Tennessee, Knoxville, USA, April, 1986.

3.
``The Jacobian problem'', C.H.M. College, Ulhasnagar, December 1986.

4.
``Applications of higher dimensional determinants to enumeration of Young tableaux'' AMS-MAA Joint Annual Meeting, Atlanta, USA, January 1988.

5.
``Galois groups of algebraic and arithmetic curves'', Indian Institute of Technology, Bombay, April 1989.

6.
``Young tableaux and determinantal loci'', Louisiana State University, Baton Rouge, USA, November 1989.

7.
``Hilbert functions of determinantal varieties'', University of Kentucky, Lexington, USA, May 1990.

8.
``Abhyankar's work on Young tableaux and some recent developments'', Conference on Algebraic Geometry and Applications, in honor of Prof. Shreeram Abhyankar's 60-th birthday, Purdue University, West Lafayette, USA, June 1990.

9.
``Some problems about standard monomials'', SPIC Science Foundation, Madras, July 1990.

10.
``Young tableaux and determinantal varieties'', MatScience, Madras, July 1990.

11.
``Straightening law and its generalizations'', Symposium on Algebra and Algebraic Geometry, Indian Institute of Technology, Bombay, July 1990.

12.
``Hilbert functions of ladder determinantal varieties'', University of Poona, Pune, August 1990.

13.
``Galois' theory of equations'', Modern College, Pune, August 1990.

14.
``Fermat's last theorem'', Bhaskaracharya Pratishthana, Pune, August 1990.

15.
``Higher dimensional determinants in combinatorics and algebraic geometry'', 56th Annual Conference of the Indian Mathematical Society, South Gujarat University, Surat, December 1990.

16.
``Partitions of numbers and some work of Ramanujan'', Fergusson College, Pune, January 1991.

17.
``Galois theory and ramification theory'', A series of six lectures, All India Summer School on Number Theory, Bhaskaracharya Pratishthana-University of Poona, Pune, June 1991.

18.
``Enumerative combinatorics of Young tableaux'', Forschunginstitut für Diskrete Mathematik, University of Bonn, Bonn, Germany, September 1991.

19.
``Determinantal varieties and its generalizations'', Max-Plank Institut für Mathematik, Bonn, Germany, September 1991.

20.
``Young tableaux and ladder determinantal varieties'', A series of four lectures, University of Hyderabad, Hyderabad, December 1991.

21.
``What is a curve and how to describe it explicitly?'', Joint Math-CS Colloquium, University of Hyderabad, Hyderabad, December 1991.

22.
``Discriminant and ramification", A series of five lectures, UGC Refresher Course on Algebraic Number Theory, University of Bombay, Bombay, December 1991.

23.
``Classical invariant theory and combinatorics'', Ramanujan Institute of Advanced Study in Mathematics, University of Madras, Madras, February 1992.

24.
``Elements of the theory of representations of finite groups with an introduction to Frobenius-Schur theory of characters of '', A series of five lectures, UGC Refresher Course on Algebra, University of Poona, Pune, July 1993.

25.
``History of representation and character theory of finite groups'', UGC Refresher Course on Algebra, University of Poona, Pune, July 1993.

26.
``Tableaux, determinants and Gröbner bases'', CIMPA-CIMI-UNESCO School on Discrete Mathematics, Lanzhou University, Lanzhou, China, August 1993.

27.
``Commutative Algebra'', A Series of six lectures, NBHM Instructional Conference on Combinatorial Topology and Algebra, Indian Institute of Technology, Bombay, December 1993.

28.
``Simplicial complexes and determinantal ideals'', Special talk, NBHM Instructional Conference on Combinatorial Topology and Algebra, Indian Institute of Technology, Bombay, December 1993.

29.
``Abhyankar's formula for bitableaux, lattice paths and Hilbert functions of Schubert varieties'', Third International Conference on Lattice Path Combinatorics and Applications, University of Delhi, Delhi, January 1994.

30.
``Symmetric functions and Galois groups'', A series of four lectures, Refresher Course in Mathematics, University of Poona, Pune, August 1994.

31.
``Constructible numbers and field extensions'', A series of two lectures, Workshop in Mathematics, Indian Institute of Technology, Bombay, November 1994.

32.
``Field theory and ramification theory'', A series of five lectures, NBHM Instructional School on Algebraic Number Theory, University of Bombay, Bombay, December 1994.

33.
``Glimpses of algebraic geometry'', C. H. M. College, Ulhasnagar, January 1995.

34.
``Determinantal rings and Hodge algebras'', Bombay University-IIT-TIFR Joint Seminar on Cohen-Macaulay Rings, University of Bombay/Tata Institute of Fundamental Research, Bombay, February/March 1995.

35.
``Determinantal rings'', Symposium in Algebra, Tata Institute of Fundamental Research, Bombay, July 1995.

36.
``Grassmannians over finite fields and MDS codes'' Discussion Meeting on Cryptography and Computation, Jawaharlal Nehru Centre of Advanced Scientific Research, Indian Institute of Science, Bangalore, September 1995.

37.
``Congruences in number theory'', A series of three lectures, Regional Maths Olympiad Training Programme, L.U. & M. V. College, Andheri, Bombay, October 1995.

38.
``Quadratic reciprocity'', A series of two lectures, Ruparel College, Matunga, Bombay, November 1995.

39.
``Resultants and discriminants'', A series of two lectures, Workshop in Mathematics, Indian Institute of Technology, Bombay, November 1995.

40.
``Effective teaching and modern perspectives in Mathematics'', CEP Induction Course on Effective Teaching, Department of Humanities and Social Sciences, Indian Institute of Technology, Bombay, January 1996.

41.
``Enumeration of Young multitableaux '', Technische Universität Wien, Vienna, Austria, April 1996.

42.
``Applications of lattice path counting to determinantal and Schubert varieties'', Institut für Mathematik der Universität Wien, Vienna, Austria, May 1996.

43.
``Multidimensional Young tableaux'', Université Louis Pasteur, Strasbourg, France, May 1996.

44.
``Gröbner bases, lattice paths and Young tableaux'', Humboldt Universität zu Berlin, Berlin, Germany, May 1996.

45.
``Combinatorial invariants of algebraic varieties'', Mathematisches Institut der Ludwig Maximilians Universität München, Munich, Germany, May 1996.

46.
``An elementary approach to Schubert varieties in Grassmannians'', Institut de Mathématiques de Luminy, Marseille, France, June 1996.

47.
``Extensions and applications of the Gessel-Viennot Methodology'', LaBRI, Université de Bordeaux I, Talence, France, June 1996.

48.
``Combinatorics of Young tableaux, determinantal varieties and computation of Hilbert functions'', Universite de Nice - Sophia Antipolis, Nice, France, July 1996.

49.
``Young tableaux and determinantal ideals'', University of Washington, Seattle, U.S.A., October 1996.

50.
``Elimination theory and Gröbner bases'' A series of three lectures, Refresher Course in Computational Algebra and Geometry, University of Bombay, Mumbai, December 1996.

51.
``Grassmannians and Schubert varieties'', A series of two lectures, Pondicherry University, Pondicherry, February 1997.

52.
``An algorithmic method in polynomial ideal theory and its applications'', A series of three lectures, Refresher Course on Advances in Algebra and their Applications, Aligarh Muslim University, Aligarh, March 1997.

53.
``MDS Codes and Geometry of Grassmannians'', Sixth International Conference on Arithmetic, Geometry and Coding Theory (AGCT - 6), Centre International de Rencontres Mathématiques (CIRM), Luminy, France, June 1997.

54.
``Combinatorics of Young tableaux and determinantal ideals'', International Conference on Combinatorial Commutative Algebra, Universität GH Essen, Essen, Germany, June 1997.

55.
``Optimal codes and classical varieties'', Humboldt Universität zu Berlin, Berlin, Germany, July 1997.

56.
``Arithmetic of the wall-clock, geometry and error correcting codes'', Inaugural talk of MathMinar'97, Bhavan's College, Andheri, Mumbai, August 1997.

57.
``Introduction to Algebraic Geometry'', An intensive short course of twenty lectures, New Arts, Commerce & Science College, Ahmednagar, August 1997 and October 1997.

58.
``Hilbert functions of Schubert varieties and rings of invariants'', 63rd Annual Conference of the Indian Mathematical Society, New Arts, Commerce & Science College, Ahmednagar, December 1997.

59.
``Geometry of subspaces of a vector space'', Saturday Club Seminar, Fergusson College, Pune, January 1998.

60.
``Complete intersections over finite fields'', Conference on Commutative Algebra and Algebraic Geometry, Kodaikanal, March 1998.

61.
``Generic minors and binomial determinants'', Università degli Studi di Genova, Genova, Italy, March 1998.

62.
``Effective bounds for the number of MDS codes'', International Conference on Coding Theory, Cryptography and Related Areas, Guanajuato, Mexico, April 1998.

63.
``Number of solutions of equations over finite fields'', City College Colloquium, City University of New York, New York, USA, May 1998.

64.
``Étale cohomology and the number of points of singular varieties over finite fields'', Séminaire Arithmetique et Theorie des Information, Institut de Mathématiques de Luminy, Marseille, France, May 1998.

65.
``Number of points of singular varieties over finite fields'', Short Communication, International Congress of Mathematicians, Berlin, Germany, August 1998.

66.
``Counting the number of solutions of equations over finite fields'', Mathematisches Kolloquium, Christian-Alberchts Universität Kiel, Kiel, Germany, August 1998.

67.
``Introduction to the theory of equations'', A series of four lectures, Regional Maths Olympiad Training Programme, L.U. & M. V. College, Andheri, Mumbai, November 1998.

68.
``Error correcting codes, matroids and algebraic geometry'', The 64th Annual Conference of the Indian Mathematical Society, Gurukul Kangri University, Haridwar, December 1998.

69.
``Rudiments of Linear Algebra'', A series of three lectures, Workshop in Mathematics, Indian Institute of Technology, Bombay, December 1998.

70.
``Linear sections of Grassmannians'', Conference on Commutative Algebra and Algebraic Geometry, Mehta Research Institute, Allahabad, February 1999.

71.
``Codes associated to Grassmannians and Schubert varieties'', Séminaire Arithmetique et Théorie de l'Information, Institut de Mathématiques de Luminy, Marseille, France, May 1999.

72.
``Hilbert functions of ladder determinantal varieties'', 11th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'99), Universitat Politécnica de Catalunya, Barcelona, Spain, June 1999.

73.
``Hilbert polynomials of ladder determinantal ideals'', International Conference on Commutative Algebra and Algebraic Geometry, University of Messina, Sicily, Italy, June 1999.

74.
``Putting $\pi$ on a firm footing'', Mathematics Association--Bombay Mathematical Colloquium Popular Lecture Series, Indian Institute of Technology, Bombay, October 1999.

75.
``First and Second Fundamental Theorems of Invariant Theory'', A series of seven lectures, Winter School on Algorithms in Invariant Theory and Algebraic Geometry, University of Pune, Pune, December 1999.

76.
``Discriminants in Algebra and Arithmetic'', S. P. College, Pune, February 2000.

77.
``Polynomials and their roots'', A series of four lectures, Refresher Course on Fundamental Theorem of Algebra, University of Mumbai, Mumbai, February 2000.

78.
``On and around Reed-Muller codes'', Institut de Mathématiques de Luminy, Marseille, France, May 2000.

79.
``Old and new inequalities for the number of points of varieties over finite fields'', Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris 6), Chevaleret, Paris, May 2000.

80.
``Codes, matroids and hypergraphs with applications to algebraic geometry'', Mathematischen Kolloquium, Christian-Alberchts Universität Kiel, Kiel, Germany, May 2000.

81.
``Lefschetz Theorems and the number of points of singular varieties over finite fields'', Oberseminar Algebra, Geometrie, Zahlentheorie, Universität GH Essen, Essen, Germany, May 2000.

82.
``Error correcting codes, matroids and linear sections of Grassmannians'', Mathematischen Kolloquium, Universität Osnabrück, Osnabrück, Germany, May 2000.

83.
``Rings of invariants and constant term identities'', Workshop on Computational and Combinatorial Aspects of Commutative Algebra, Universität GH Essen, Essen, Germany, May 2000.

84.
``Hyperplane sections of Grassmannians, with applications'', Conference on Algebra and Algebraic Geometry with Applications, in honor of Prof. Shreeram Abhyankar's 70-th Birthday, Purdue University, West Lafayette, USA, July 2000.

85.
``Fermat's Last Theorem and its impact on Mathematics'', California State University, Los Angeles, USA, July 2000.

86.
``Grassmann varieties, matroids and error correcting codes'', University of Southern California, Los Angeles, USA, July 2000.

87.
``Poincaré polynomials and the number of solutions of equations over finite fields'', International Conference on Number Theory and Discrete Mathematics in honor of Srinivasa Ramanujan, Panjab University, Chandigarh, October 2000.

88.
``Hilbert series of ladder determinantal rings'', Third National Discussion Meeting on Commutative Algebra and Algebraic Geometry, Indian Institute of Science, Bangalore, October 2000.

89.
``Review of Classical Commutative Algebra'', A series of two lectures, Winter School on Cohomological Methods in Commutative Algebra, supported by NBHM and IMU, Homi Bhabha Centre for Science Education, Mumbai, November 2000.

90.
``Lectures on Algebraic Number Theory'', A series of ten lectures, Christian-Alberchts Universität Kiel, Kiel, Germany, December 2000.

91.
``Algorithmic aspects of ideal theory and some applications'', Graduate College Seminar, Christian-Alberchts Universität Kiel, Kiel, Germany, December 2000.

92.
``Teaching Calculus using Internet: Some Experiments and Experiences'' CASTME-UNESCO-HBCSE International Conference on Science, Technology and Mathematics Education for Human Development, Goa, February 2001.

93.
``Polynomial congruences, Geometry and Topology'', Conference on Number Theory, Institute of Science, Mumbai, February 2001.

94.
``On a conjecture of Lang and Weil'', Séminaire Arithmetique et Théorie de l'Information, Institut de Mathématiques de Luminy, Marseille, France, May 2001.

95.
``Linear Codes associated to Grassmannians and Schubert varieties'', International Conference on Arithmetic, Geometry and Coding Theory (AGCT - 8), Centre International de Rencontres Mathématiques (CIRM), Luminy, France, May 2001.

96.
``Introduction to Coding Theory and Algebraic Geometry'', A series of six lectures, UGC Refresher Course on Recent Developments in Mathematics, Shivaji University, Kolhapur, October 2001.

97.
``Hilbert series of Pfaffian rings'', International Conference on Algebra and Geometry, University of Hyderabad, Hyderabad, December 2001.

98.
``Combinatorics of lattice paths and computation of Hilbert functions'', Colloquium talk in the Year Long Programme on Hilbert Functions: Open problems, Recent results and Applications, Indian Institute of Technology, Bombay, January 2002.

99.
``Bezout's Theorem'', A series of five lectures, UGC Refresher Course on Elliptic Curves and Cryptography, University of Mumbai, Mumbai, February-March 2002.

100.
``Grassmannians, Schubert varieties and error correcting codes '', Mathematics Colloquium, The Institute of Mathematical Sciences, Chennai, March 2002.

101.
``Binomial Coefficients and Determinants'', Special Lecture for College and University Students on the occasion of the Silver Jubilee year, Bhaskaracharya Pratishthana, Pune, March 2002.

102.
``Degeneracy loci and determinantal ideals'', Università degli Studi di Genova, Genova, Italy, May 2002.

103.
``Finite point-set configurations and torus actions on Grassmannians'', Conference on Zero dimensional Schemes and Related Topics, in honour of Tony Geramita's 60th Birthday, Acireale, Sicily, Italy, June 2002.

104.
``Classical projective varieties and error correcting codes'', Università degli Studi di Perugia, Perugia, Italy, June 2002.

105.
``Multiplicities and Hilbert functions of ideals of pfaffians and symmetric minors'', Special Session on ``Commutative Algebra: Hilbert Functions, Homological Methods and Combinatorial Aspects'', First Joint International Meeting of the American Mathematical Society and the Unione Matematica Italiana, Pisa, Italy, June 2002.

106.
``Codes associated to Schubert varieties and flag varieties'', Séminaire Arithmetique et Théorie de l'Information, Institut de Mathématiques de Luminy, Marseille, France, June 2002.

107.
``Linear codes associated to higher dimensional varieties'', Mathematischen Kolloquium, Christian-Alberchts Universität Kiel, Kiel, Germany, July 2002.

108.
``Varieties, codes and combinatorics'', Halle-Leipzig-Jenaer Seminar zur Kommutativen Algebra und Algebraischen Geometrie, Mathematischen Institut der Universität Leipzig, Leipzig, Germany, July 2002.

109.
``Classical Varieties and Error Correcting Codes'', Short Communication, International Congress of Mathematicians, Beijing, China, August 2002.

110.
``Newton's theorem'', Indian Statistical Institute, Kolkata, December 2002.

111.
``Basic algebraic geometry'', A series of five lectures, Winter School on Arithmetic Algebraic Geometry, Harish-Chandra Research Institute, Allahabad, December 2002.

112.
``Fun with Mathematics'', A talk in Marathi for school children, Nehru Science Centre, Mumbai, January 2003.

113.
``Configuration spaces for point-sets and torus actions on Grassmannians'', 5th National Meeting on Commutative Algebra and Algebraic Geometry, Indian Institute of Technology Bombay, Mumbai, April 2003.

114.
``Configuration spaces, Grassmannians and rings of invariants'', Séminaire Arithmetique et Théorie de l'Information, Institut de Mathématiques de Luminy, Marseille, France, June 2003.

115.
``Enumeration of MDS codes with applications to algebraic geometry'', Università degli Studi di Perugia, Perugia, Italy, June 2003.

116.
``Classical varieties, codes and combinatorics'', 15th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'2003), Vadstena, Sweden, June 2003.

117.
``Error free transmission and algebraic geometry'', Kieler Woche Gastvorträge, Christian-Alberchts Universität Kiel, Kiel, Germany, June 2003.

118.
``Numbers and functions'', R. D. National College, Bandra, Mumbai, July 2003.

119.
``Zeta functions of curves over finite fields'', A series of two lectures, Mini Workshop on Curves over Finite Fields, University of Mumbai, Mumbai, July 2003.

120.
``Classical varieties, linear codes and enumerative combinatorics'', International Conference on Commutative Algebra and Combinatorics, Harish-Chandra Research Institute, Allahabad, December 2003.

121.
``Combinatorial and computational aspects of Hilbert functions and Cohen-Macaulayness'', Indian Institute of Science, Bangalore, December 2003.

122.
``Geometry and Combinatorics of Schubert varieties and determinantal varieties'', Algebraic Geometry Seminar, Purdue University, West Lafayette, USA, January 2004.

123.
``Number of points of varieties over finite fields'' Department of Mathematics Colloquium, Purdue University, West Lafayette, USA, February 2004.

124.
``Grassmannians and codes'', Geometry Seminar, Georgia Institute of Technology, Atlanta, USA, March 2004.

125.
``Some inequalities for the number of points of varieties over finite fields'', Algebra and Number Theory Seminar, Penn State University, State College, USA, March 2004.

126.
``On the number of solutions of equations over finite fields'', Colloquium talk, University of Tennessee, Knoxville, USA, April 2004.

127.
``Linear Codes, Schubert Varieties and Enumerative Combinatorics'', Colloquium talk, State University of New York at Albany, Albany, USA, May 2004.

128.
``Rational points of varieties over finite fields'', Algebra Seminar University of Missouri-Columbia, USA, May 2004.

129.
``Linear codes, Schubert varieties and enumerative combinatorics'', Geometry-Algebra-Singularities-Combinatorics Seminar, Northeastern University, Boston, USA, May 2004.

130.
``Varieties, codes and combinatorics'', Idaho State University, Pocatello, USA, May 2004.

131.
``Coding Theory'', A series of three lectures, Workshop on Coding Theory, Mathematical Sciences Institute, Belgaum, November 2004.

132.
``Algebraic Geometry for Scientists and Engineers`'', K.L.E. College of Enginnering and Technology, Belgaum, November 2004.

133.
``Codes, enumeration and varieties over finite fields'', Indian Statistical Institute, Delhi, December 2004.

134.
``Geometric and Combinatorial Aspects of Coding Theory'', S.K. Malik Memorial Chandigarh Mathematics Colloquium, Panjab University, Chandigarh, February 20045.