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.