Invited Talks and Conference Presentations

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

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

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

"Applications of higher dimensional determinants to enumeration of
Young tableaux'' AMSMAA Joint Annual Meeting, Atlanta, USA, January 1988.

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

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

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

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

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

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

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

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

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

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

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

"Partitions of numbers and some work of Ramanujan'', Fergusson
College, Pune, January 1991.
 "Galois theory and ramification theory'',
A series of six lectures,
All India Summer School on Number Theory,
Bhaskaracharya PratishthanaUniversity of Poona, Pune, June 1991.

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

"Determinantal varieties and its generalizations'', MaxPlank
Institut für Mathematik, Bonn, Germany, September 1991.

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

"What is a curve and how to describe it explicitly?'', Joint
MathCS Colloquium, University of Hyderabad, Hyderabad, December 1991.
 "Discriminant and ramification", A series of five lectures, UGC
Refresher Course on Algebraic Number Theory, University of Bombay, Bombay,
December 1991.
 "Classical invariant theory and combinatorics'', Ramanujan
Institute of Advanced Study in Mathematics, University of Madras, Madras,
February 1992.
 "Elements of the theory of representations of finite groups
with an introduction to FrobeniusSchur theory of characters of '',
A series of five lectures, UGC Refresher Course on Algebra, University
of Poona, Pune, July 1993.
 "History of representation and character theory of finite groups'',
UGC Refresher Course on Algebra, University of Poona, Pune, July 1993.
 "Tableaux, determinants and Gröbner bases'', CIMPACIMIUNESCO
School on Discrete Mathematics, Lanzhou University, Lanzhou, China,
August 1993.
 "Commutative algebra'', A Series of six lectures, NBHM
Instructional Conference on Combinatorial Topology and Algebra, Indian
Institute of Technology, Bombay, December 1993.
 "Simplicial complexes and determinantal ideals'', Special talk,
NBHM Instructional Conference on Combinatorial Topology and Algebra, Indian
Institute of Technology, Bombay, December 1993.
 "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.
 "Symmetric functions and Galois groups'', A series of four
lectures, Refresher Course in
Mathematics, University of Poona, Pune, August 1994.
 "Constructible numbers and field extensions'', A series of two
lectures, Workshop in Mathematics, Indian Institute of Technology, Bombay,
November 1994.
 "Field theory and ramification theory'', A series of five lectures,
NBHM Instructional School on Algebraic Number Theory, University of Bombay,
Bombay, December 1994.
 "Glimpses of algebraic geometry'', C. H. M. College, Ulhasnagar,
January 1995.
 "Determinantal rings and Hodge algebras'',
Bombay UniversityIITTIFR Joint Seminar on CohenMacaulay Rings,
University of Bombay/Tata Institute of Fundamental Research, Bombay,
February/March 1995.
 "Determinantal rings'', Symposium in Algebra,
Tata Institute of Fundamental Research, Bombay, July 1995.
 "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.
 "Congruences in number theory'', A series of three lectures,
Regional Maths Olympiad Training Programme, L.U. & M. V. College,
Andheri, Bombay, October 1995.
 "Quadratic reciprocity'', A series of two lectures, Ruparel
College, Matunga, Bombay, November 1995.
 "Resultants and discriminants'', A series of two lectures,
Workshop in Mathematics, Indian Institute of Technology, Bombay,
November 1995.
 "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.
 "Enumeration of Young multitableaux '', Technische Universität
Wien, Vienna, Austria, April 1996.
 "Applications of lattice path counting to determinantal and
Schubert varieties'', Institut für Mathematik der Universität Wien,
Vienna, Austria, May 1996.
 "Multidimensional Young tableaux'', Université Louis Pasteur,
Strasbourg, France, May 1996.
 "Gröbner bases, lattice paths and Young tableaux'', Humboldt
Universität zu Berlin, Berlin, Germany, May 1996.
 "Combinatorial invariants of algebraic varieties'',
Mathematisches Institut der Ludwig Maximilians Universität München,
Munich, Germany, May 1996.
 "An elementary approach to Schubert varieties in Grassmannians'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, June 1996.
 "Extensions and applications of the GesselViennot Methodology'',
LaBRI, Université de Bordeaux I, Talence, France, June 1996.
 "Combinatorics of Young tableaux, determinantal varieties and
computation of Hilbert functions'', Université de Nice  Sophia Antipolis,
Nice, France, July 1996.
 "Young tableaux and determinantal ideals'', University of
Washington, Seattle, U.S.A., October 1996.
 "Elimination theory and Gröbner bases'' A series of three
lectures, Refresher Course in Computational Algebra and Geometry,
University of Bombay, Mumbai, December 1996.
 "Grassmannians and Schubert varieties'', A series of two
lectures, Pondicherry University, Pondicherry, February 1997.
 "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.
 "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.
 "Combinatorics of Young tableaux and determinantal ideals'',
International Conference on Combinatorial Commutative Algebra,
Universität GH Essen, Essen, Germany, June 1997.
 "Optimal codes and classical varieties'', Humboldt
Universität zu Berlin, Berlin, Germany, July 1997.
 "Arithmetic of the wallclock, geometry and error
correcting codes'', Inaugural talk of
MathMinar'97, Bhavan's College, Andheri, Mumbai, August 1997.
 "Introduction to Algebraic Geometry'', An intensive short
course of twenty lectures, New Arts, Commerce & Science College,
Ahmednagar, August 1997 and October 1997.
 "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.
 "Geometry of subspaces of a vector space'', Saturday Club
Seminar, Fergusson College, Pune, January 1998.
 "Complete intersections over finite fields'',
Conference on Commutative Algebra and Algebraic Geometry,
Kodaikanal, March 1998.
 "Generic minors and binomial determinants'',
Università degli Studi di Genova, Genova, Italy, March 1998.
 "Effective bounds for the number of MDS codes'',
International Conference on Coding Theory, Cryptography and Related Areas,
Guanajuato, Mexico, April 1998.
 "Number of solutions of equations over finite fields'',
City College Colloquium, City University of New York, New York, USA, May 1998.
 "Étale cohomology and the number of points of singular
varieties over finite fields'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France,
May 1998.
 "Number of points of singular varieties over finite fields'',
Short Communication,
International Congress of Mathematicians, Berlin, Germany, August 1998.
 "Counting the number of solutions of equations over finite
fields'', Mathematisches Kolloquium,
ChristianAlberchts Universität Kiel, Kiel, Germany, August 1998.
 "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.
 "Error correcting codes, matroids and algebraic geometry'',
The 64th Annual Conference of the Indian Mathematical Society,
Gurukul Kangri University, Haridwar, December 1998.
 "Rudiments of linear algebra'', A series of three lectures,
Workshop in Mathematics, Indian Institute of Technology, Bombay,
December 1998.
 "Linear sections of Grassmannians'',
Conference on Commutative Algebra and Algebraic Geometry,
Mehta Research Institute,
Allahabad, February 1999.
 "Codes associated to Grassmannians and Schubert varieties'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, May 1999.
 "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.

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

"Putting π on a firm footing'',
Mathematics AssociationBombay Mathematical Colloquium Popular Lecture
Series, Indian Institute of Technology, Bombay, October 1999.

"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.

"Discriminants in algebra and arithmetic'', S. P. College,
Pune, February 2000.

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

"On and around ReedMuller codes'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, May 2000.

"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.

"Codes, matroids and hypergraphs with applications to algebraic
geometry'', Mathematischen Kolloquium,
ChristianAlberchts Universität Kiel, Kiel, Germany, May 2000.

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

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

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

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

"Fermat's last theorem and its impact on Mathematics'', California State
University, Los Angeles, USA, July 2000.

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

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

"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.

"Lectures on algebraic number theory'', A series of ten lectures,
ChristianAlberchts Universität Kiel, Kiel, Germany, December 2000.

"Algorithmic aspects of ideal theory and some applications'', Graduate
College Seminar,
ChristianAlberchts Universität Kiel, Kiel, Germany, December 2000.

"Teaching calculus using internet: some experiments and experiences''
CASTMEUNESCOHBCSE International Conference on Science, Technology and
Mathematics Education for Human Development, Goa, February 2001.
 "Polynomial congruences, Geometry and Topology'', Conference on
Number Theory, Institute of Science, Mumbai, February 2001.
 "On a conjecture of Lang and Weil'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, May 2001.

"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.

"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.

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

"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.
 "Bezout's Theorem'', A series of five lectures, UGC Refresher
Course on Elliptic Curves and Cryptography, University of Mumbai, Mumbai,
FebruaryMarch 2002.
 "Grassmannians, Schubert varieties and error correcting codes '',
Mathematics Colloquium, The Institute of Mathematical Sciences, Chennai,
March 2002.
 "Binomial Coefficients and Determinants'', Special Lecture
for College and University Students on the occasion of the Silver Jubilee year,
Bhaskaracharya Pratishthana, Pune, March 2002.
 "Degeneracy loci and determinantal ideals'',
Università degli Studi di Genova, Genova, Italy, May 2002.
 "Finite pointset 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.
 "Classical projective varieties and error correcting codes'',
Università degli Studi di Perugia, Perugia, Italy, June 2002.
 "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.
 "Codes associated to Schubert varieties and flag varieties'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, June 2002.
 "Linear codes associated to higher dimensional varieties'',
Mathematischen Kolloquium,
ChristianAlberchts Universität Kiel, Kiel, Germany, July 2002.
 "Varieties, codes and combinatorics'',
HalleLeipzigJenaer Seminar zur Kommutativen Algebra und
Algebraischen Geometrie, Mathematischen Institut der Universität Leipzig,
Leipzig, Germany, July 2002.
 "Classical varieties and error correcting codes'',
Short Communication,
International Congress of Mathematicians, Beijing, China, August 2002.
 "Newton's theorem'', Indian Statistical Institute, Kolkata,
December 2002.
 "Basic algebraic geometry'', A series of five lectures, Winter
School on Arithmetic Algebraic Geometry,
HarishChandra Research Institute, Allahabad, December 2002.
 "Fun with Mathematics'',
A talk in Marathi for school children, Nehru Science Centre, Mumbai,
January 2003.
 "Configuration spaces for pointsets and torus actions on Grassmannians'',
5th National Meeting on Commutative Algebra and Algebraic Geometry, Indian
Institute of Technology Bombay, Mumbai, April 2003.
 "Configuration spaces, Grassmannians and rings of invariants'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, June 2003.
 "Enumeration of MDS codes with applications to algebraic geometry'',
Università degli Studi di Perugia, Perugia, Italy, June 2003.
 "Classical varieties, codes and combinatorics'',
15th International Conference on Formal Power Series and Algebraic
Combinatorics (FPSAC'2003), Vadstena, Sweden,
June 2003.
 "Error free transmission and algebraic geometry'',
Kieler Woche Gastvorträge,
ChristianAlberchts Universität Kiel, Kiel, Germany, June 2003.
 "Numbers and functions'', R. D. National College, Bandra, Mumbai,
July 2003.
 "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.
 "Classical varieties, linear codes and enumerative
combinatorics'',
International Conference on Commutative Algebra and Combinatorics,
HarishChandra Research Institute, Allahabad, December 2003.
 "Combinatorial and computational aspects of Hilbert functions and
CohenMacaulayness'', Indian Institute of Science, Bangalore, December 2003.

"Geometry and combinatorics of Schubert varieties and determinantal
varieties'', Algebraic Geometry Seminar,
Purdue University, West Lafayette, USA, January 2004.
 "Number of points of varieties over finite fields''
Department of Mathematics Colloquium,
Purdue University, West Lafayette, USA, February 2004.

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

"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.

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

"Linear codes, Schubert varieties and enumerative combinatorics'',
Colloquium talk, State University of New York at Albany, Albany, USA,
May 2004.

"Rational points of varieties over finite fields'', Algebra Seminar,
University of MissouriColumbia, USA, May 2004.

"Linear codes, Schubert varieties and enumerative combinatorics'',
Geometry  Algebra  Singularities  Combinatorics (GSAC) Seminar, Northeastern University,
Boston, USA,
May 2004.

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

"Coding Theory'', A series of three lectures, Workshop on Coding Theory,
Mathematical Sciences Institute, Postgraduate Centre of Karnataka University,
Belgaum, November 2004.

"Algebraic geometry for scientists and engineers'', K.L.E. College of
Enginnering and Technology, Belgaum, November 2004.

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

"Geometric and combinatorial aspects of coding theory'',
S. K. Malik Memorial Lecture, Panjab University,
Chandigarh, February 2005.
 "Dimension theory of affine algebras'', A series of six lectures,
Advanced Instructional School in Commutative Algebra and Algebraic Geometry,
IIT Bombay, Mumbai, July 2005.
 "Linear codes and projective varieties'', A series of three
lectures, Algebra Seminar, The University of Tennessee, Knoxville, USA, September 2005.
 "Linear codes associated to Schubert varieties and
flag varieties'',
International Conference on Arithmetic, Geometry and Coding Theory
(AGCT  10, Centre International de Rencontres Mathématiques
(CIRM), Luminy, France, September 2005.
 "Hilbert functions of local rings of certain Schubert varieties'', Special Session on Commutative Rings and Algebras, Southeastern Sectional
Meeting of the American Mathematical Society, Johnson City, TN, USA, October 2005.
 "Codes and enumeration with applications to algebraic geometry'', Algebra & Discrete Mathematics Seminar, Clemson University, Clemson, SC, USA, November 2005 .
 "Schubert varieties, determinantal varieties
and Hilbert functions'', Algebra Seminar,
University of MissouriColumbia, USA, November 2005.

"Geometric and combinatorial aspects of determinantal equations'',
Colloquium talk, State University of New York at Albany, Albany, USA,
December 2005 .

"Equations over Finite Fields'', A series of six lectures, Refresher
Course on Finite Fields and their Applications,
University of Mumbai, Mumbai, March 2006.

"Commutative algebra'', A series of eight lectures, NBHM
Annual Foundation School (AFS)II, Bhaskaracharya Pratishthana and University of Pune, Pune, June, 2006.

"Field and Galois theory'', A series of eight lectures,
First ATM School for Lecturers in Algebra and Linear Algebra,
Indian Institute of Technology Bombay, Mumbai, JuneJuly 2006.
 "Glimpses of interactions between coding theory and algebraic
geometry'', National Conference on Mathematical Foundations of
Coding, Complexity, Computation and Cryptography, Indian Institute of
Science, Bangalore, July 2006.
 "Convexity, Concavity and Differentiability of Functions
of Several Variables'', A series of three lectures, ATM School for
Lecturers in Multivariable Calculus, University of Pune, Pune,
November 2006.
 "Algebraic functions and elementary transcendental functions'',
S. P. College, Pune, December 2006.
 "Geometric approach to saddle points'',
NBHM Sponsored Lecture Series for college teachers and students,
Bhaskaracharya Pratishthana, Pune, January 2007.
 "Error correcting codes and loci of polynomial equations'',
Birla Institute of Science and Technology Pilani, Goa campus, Goa, January 2007.
 "Geometric, topological and combinatorial aspects of
subspaces of a vector space'', Goa University, Goa, January 2007.
 "Solving Polynomial Equations'', University of Delhi
South Campus, New Delhi, February 2007.
 "Grassmann varieties over finite fields and linear codes'',
International Conference on Number Theory and Cryptography, HarishChandra
Research Institute, Allahabad, February 2007.
 "What is algebraic geometry'', Science Special Lecture Series
of the Karnataka Academy of Science and Technology, University of Mysore,
Mysore, March 2007.
 "On the weight hierarchy of Grassmann codes'', First Symposium
on Algebraic Geometry and its Applications (SAGA 2007), in honor of the 60th
birthday of Gilles Lachaud, Papeete, Tahiti, French Polynesia, May 2007.
 "Joining the dots: Combinatorics of lattice paths and its applications'',
Valedictory function of the International Mathematics Olympiad Training Camp,
Homi Bhabha Centre for Science Education (HBCSE), Mumbai, May 2007.
 "Linear sections of Grassmann varieties over finite fields'',
Conference on Commutative Algebra and Algebraic Geometry, Indian
Statistical Institute, Bangalore, July 2007.
 "Geometric, combinatorial and coding theoretic
aspects of subspaces of a vector space'', Invited Plenary Lecture, International Conference on Recent Advances in Mathematics and its Applications, Belgaum,
September 2007.
 "Introduction to algebraic geometry'', Short Term Training Programme on Advances in Control Theory, Veermata Jijabai Technological Institute (VJTI), Mumbai, October 2007.
 "Decomposable subspaces, linear sections of Grassmann varieties, and higher
weights of Grassmann codes'', Eleventh International Conference on Arithmetic, Geometry,
Cryptography and
Coding Theory (AGCT  11), Centre International de Rencontres Math\'ematiques
(CIRM), Luminy, France, November 2007.
 "Development of calculus and real analysis'', Annual Mathematics Day of the
Harish Chandra Mathematics Society, Deen Dayal Upadhyaya College (University of Delhi), New Delhi, November 2007.
 "Complex problems in coding theory'', Scientific Analysis Group, Defence
Research and Development Organisation, Delhi, November 2007.
 "Some aspects of coding theory'', Jamia Millia Islamia, New Delhi,
November 2007.
 "On the development of calculus and real analysis'', Karnataka University, Dharwad, December 2007.
 "Higher weights of Grassmann codes'', Seventy third Annual Conference and
the Centenrary Celebrations of the Indian Mathematical Society, Pune,
December 2007.

"Introduction to coding theory'', Workshop on Mathematics for Engineers, D. J.
Sanghvi College of Engineering, Vile Parle, Mumbai, February 2008.

"Development of calculus'', Keynote address, Orientation Programme in
Mathematics for Kendriya Vidyalaya Teachers and Principals, Zonal Institute
of Education and Training, Bhandup, Mumbai, April 2008.

"Schubert varieties, linear codes and enumerative combinatorics'', Seminari de
Geometria Algebraica, Universitat de Barcelona, Barcelona, Spain, April 2008
.

"Recent progress on the weight hierarchy of Grassmann and Schubert codes'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France,
May 2008.

"Geometry of subspaces of a vector space and applications to coding theory,
Sophus Lie Seminar, Universitetet i Tromsø, Tromsø, Norway,
May 2008.

"Maximal linear sections of Grassmann varietiesg,
Seminar in Algebra and Algebraic Geometry, Universitetet i Oslo, Oslo, Norway,
June 2008.

"Graphs with maximum sum of squares of degrees and codes associated to Grassmann varieties'', Kolloquium,
ChristianAlberchts Universität Kiel, Kiel, Germany,
June 2008.

"Some interactions between algebraic geometry and coding theory'',
Seminariet i Algebraisk Geometri och Talteori, Chalmers University, Göteberg, Sweden, June 2008.

"Introduction to Grassmann varieties and associated codes'',
Technical University of Denmark, Lyngby, Denmark, June 2008.

"HardyRamanujanRademacher Formula for the number of integer partitions'',
A Series of four lectures, NBHM Advanced Instructional School on Complex
Analysis, Pune, JuneJuly 2008.

"Linear algebra: geometric, topological and arithmetic aspects'',
The M. S. University of Baroda, Vadodara, Gujarat, October 2008.

"Primitive polynomials, Matrix groups, and Cryptographyg, Mathematics Seminar Series, Indian Institute of Technology, Guwahati, Assam, January 2009.

"Higher weights of linear codes associated to Grassmann varietiesg,
Symposium on Coding and Cryptography, 96th Indian Science Congress,
NorthEastern Hill University, Shillong, Meghalaya, January 2009.

"Primitive polynomials, Singer cycles, and integer sequences,
HRI International Conference in Mathematics (HRI ICM),
HarishChandra Research Institute, Allahabad, March 2009.

"Primitive polynomials, Singer cycles, and LFSRs,
Twelfth International Conference on Arithmetic, Geometry, Cryptography and
Coding Theory (AGCT12), Centre International de Rencontres Mathématiques
(CIRM), Luminy, France, MarchApril 2009.

"Good pseudorandom sequences'',
Kolloquium, ChristianAlberchts Universität Kiel, Kiel, Germany, April 2009.

"Newton's Generalization of Binomial Theorem'', Seminarium i Algebraisk
Geometri, Chalmers University, Göteborg, Sweden, April 2009.

"Primitive recursive vector sequences'',
Technical University of Denmark, Lyngby, Denmark, April 2009.
 "Generalized Hamming`weights of Grassmamnn codes'',
Università degli Studi di Perugia, Perugia, Italy, April 2009.
 "Primitive polynomials and primitive sequences'',
Università degli Studi di Perugia, Perugia, Italy, April 2009.
 "Primitive polynomials, Singer cycles, and recursive sequences'',
National Conference on Commutative Algebra and Algebraic Geometry,
Indian Institute of Technology Madras and Chennai
Mathematical Institute, Chennai, July 2009.
 "Good pseudorandom sequences and the probability that two
polynomials are coprime'',
ChristianAlberchts Universität Kiel, Kiel, Germany,
July 2009.
 "Grassmann codes and their relatives'', Session on Finite Fields, Coding Theory and Cryptography, XVIII Latin American Algebra Colloquium,
Sao Pedro, SP, Brazil, August 2009.
 "Evolution of the theory of equations: a journey through renaissance'', Popular Lecture Series, Indian Institute of Technology Gandhinagar,
Ahmedabad, September 2009.
 "Linear recurrence equations over finite fields'',
A series of five lectures,
Discussion Meeting on Finite Fields and Coding Theory,
HarishChandra Research Institute, Allahabad, November 2009.
 "Generalized ReedMuller codes'',
Discussion Meeting on Finite Fields and Coding Theory,
HarishChandra Research Institute, Allahabad, November 2009.
 "Fundamental theorem of calculus and its generalizations'', A series of two
lectures, Refresher Course for College Teachers of Mathematics, University
of Pune, Pune, November 2009.
 "Determinantal hyperplanes over finite fields'',
II IndoBrazilian Symposium in Mathematics, Tata Institute of Fundamental
Research  Centre
for Applicable Mathematics, Bangalore, December 2009.
 "The world of finite fields'',
NBHM Workshop on “Perspectives in Mathematics” on the occasion of
Ramanujan's birthday, Homi Bhabha Centre for Science Education (HBCSETIFR), Mumbai,
December 2009.
 "Gaussian binomial coefficients in geometry and coding theory'',
Symposium on Recent Trends in Discrete Mathematics, 97th Indian Science
Congress, University of Kerala, Thiruvananthapuram,
January 2010.
 "Matrices, polynomials, and sequences over finite fields'',
International Conference on Algebra and its Applications, Aligarh Muslim
University, Aligarh, February
2010.
 "Stories from the Theory of Equations'', PRAGYAA2010,
Shri Guru Gobind Singhji Institute of Engineering and Technology, Nanded,
March 2010.
 "Glimpses of the development of number theory'',
Swami Ramanand Teerth Marathwada University, Nanded, March 2010.

"Maximal linear sections of Grassmannians'', Colloquium talk, Tata Institute
of Fundamental Research, Mumbai, April 2010.

"Introduction to affine Grassmann codes'',
ChristianAlberchts Universität Kiel, Kiel, Germany, May 2010.

"Matrices and polynomials over finite fields and pseudorandom vector
generation'', Binational DFG Workshop and Round Table on Discrete Structures
and Algorithms, Bonn, Germany, June 2010.

"Matrices, Polynomials, and Recurrences over Finite Fields'', Conference
on Algebra and Algebraic Geometry with Applications: Celebration of the
Eightieth Birthday of Professor Shreeram S. Abhyankar, Purdue University,
West Lafayette, USA, July 2010.

"Affine Grassmann codes'', Short Communication,
International Congress of Mathematicians, Hyderabad, August 2010.

"Jet schemes of determinantal varieties'', International Conference on
Commutative Algebra and Algebraic Geometry, Indian Institute of Science,
Bangalore, December 2010.

"Gröbner bases and coding theory'', A series of five lectures,
IndoGerman Workshop on Computational Commutative Algebra (NBHM Advanced Instructional
School), Indian Institute of Science Education and Research, Pune, December 2010.

"Finite fields'', A series of two lectures, School on Algebra, Analysis and
Topology, The Kerala School of Mathematics, Kozhikode, January 2011.

"Algebraic Geometric Codes'', Keynote address, UGC National Seminar on Advances in
Computational Mathematics, Latur, February, 2011.

"Primitive recursive vector sequences'',
13th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGCT  13),
Centre International de Rencontres Mathématiques (CIRM), Luminy, France, March 2011. [Slides]

"Linear sections of Grassmann varieties'', Séminaire d'Algebra et
Geometrie, Université de Versailles SaintQuentin en Yvelines, Paris, France, March 2011.

"Estimates for the number of solutions of equations over finite fields'',
Number Theory Seminar, Brigham Young University, Provo, Utah, USA, May 2011.

"Linear codes, classical varieties and enumerative combinatorics'', CVC/ICSE Seminar, University of Texas, Austin, USA, May 2011.

"Determinantal varieties and their jet schemes'',
University of Manitoba, Winnipeg, Canada, May 2011.

"Coprime polynomial pairs, Hankel matrices, and splitting subspaces'',
Session on Finite Fields in Combinatorics,
3rd Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM2011),
University of Victoria, Victoria, BC, Canada, June 2011.[Slides]

"Inspiring episodes from the theory of equations'',
DST INSPIRE Science Camp 2011, The M. S. University of Baroda, Vadodara, July 2011.

"Glimpses of greatness: Ramanujan and the theory of partitions'',
DST INSPIRE Science Camp 2011, The M. S. University of Baroda, Vadodara, July 2011.

"Arithmetical Functions'', Two Day Lecture Series on Number Theory,
Sardar Vallabhbhai National Institute of Technology, Surat, September 2011.

"Measure and Integral'', University of Pune, Pune, September 2011.

"Solving Polynomial Equations: A Journey through Renaissance'', Colloquium talk,
UMDAE Centre for Excellence in Basic Sciences, Mumbai, October 2011
.

"Finite fields and their applications'', A series of two lectures,
Karnataka Science & Technology Academy Special Lecture Series,
Mangalore University, Mangalagangothri, October 2011.

"An initiation into additive theory of numbers'', DST INSPIRE Internship
Science Camp, Loyola Degree College, Pulivendula, Andhra Pradesh,
November 2011.

"Partitions of numbers and a remarkable formula of Ramanujan'', DST INSPIRE
Internship Science Camp, Sri Venkateswara University, Tirupati, December 2011.

"Algebra'', A series of six lectures, NBHM Annual Foundational School (AFSI), Indian Institute of Science Education and Research, Pune, December 2011.

"Normalization and primary decomposition'', A series of four lectures, NBHM Advanced Instuctional School on Computational Commutative Algebra, NIIT University, Neemrana, Rajasthan, January 2012.

"Splitting subspaces over finite fields'',
National Conference on Recent Advances in Mathematics,
Lucknow University, Lucknow, February 2012.

"Glimpses of the development of algebra'', Dayalbagh Educational Institute,
Agra, February 2012.

"Solving quadratic equations and beyond'', DST INSPIRE Internship
Science Camp, Loyola Degree College, Pulivenula, Andhra Pradesh,
February 2012.

"Hilbert series of jet schemes of determinantal varieties'',
International Conference on Commutative Algebra and Algebraic
Geometry (CAAG 2012), Pondicherry University, Puducherry, March 2012.

"Splitting subspaces, Singer cycles and linear recurrences'', Séminaire
de Théorie des Nombres,
Institut de Mathématiques de Bordeaux, Université Bordeaux 1, Talence, France, May 2012. [Slides]

"Affine Grassmann codes and their automorphisms'',
Séminaire Arithmetique et Théorie de l'Information,
Institut de Mathématiques de Luminy, Marseille, France, May
2012.

"Arithmetic progressions in a unique factorization domain'', Séminaire
de Théorie des Nombres,
Institut de Mathématiques de Toulouse, Université de Toulouse Le Mirail, Toulouse, France, May 2012.

"Splitting subspace Conjecture'',
Kolloquium, ChristianAlberchts Universität Kiel, Kiel, Germany,
June 2012.

"Linear Codes related to Grassmann Varieties and their Automorphisms",
Coding Theory Colloquium,
Technical University of Denmark, Lyngby, Denmark, June 2012.

"Introduction to affine Grassmann codes",
Sophus Lie Seminar, Universitetet i Tromsø, Tromsø, Norway,
June 2012.

"Grassmann varieties, codes and combinatorics", Colloquium talk,
University of Puerto Rico, San Juan, Puerto Rico, June 2012.

"Two miracles about 1jets of determinantal varieties",
Conference on Algebra and Algebraic Geometry, in honour of Abhyankar's 82nd birthday, Purdue University, West Lafayette, USA, July 2012.

"An introduction to the theory of equations", DSTINSPIRE Internship
Science Camp, Govt. College for Men, Kadapa, Andhra Pradesh, July 2012.

"Partitions of numbers, a theorem of Euler, and a formula of Ramanujan",
A series of two lectures, DSTINSPIRE Internship Science Camp,
Maharaja Krishnakumarsinhji Bhavnagar University, Bhavnagar, Gujarat, July
2012

"Development of the theory of equations", DSTINSPIRE Internship Science Camp,
Smt. Kasturbai Walchand College, Sangli, Maharashtra, August 2012.

"Perfect numbers", DSTINSPIRE Internship Science Camp, Loyola Degree College,
Pulivendula, Andhra Pradesh, August 2012. `

"Real analysis", Loyola Degree College, Pulivendula,
Andhra Pradesh, August 2012.

"Counting points of varieties over finite fields: A meeting ground for algebra, analysis, geometry, topology, and number theory",
Institute Award Lecture Series, Indian Institute of Technology Bombay,
Mumbai, August 2012.

"Topics in elementary number theory'', A series of four lectures, UGC Refresher Course in Mathematics/Statistics,
Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, September 2012.

"Euler, Ramanujan, and the theory of partitions'', DSTINSPIRE Internship
Science Camp, Swami Ramanand Teerth Marathwada University,
Nanded, October 2012.

"Decimal expansions and continued fraction expansions'',
Swami Ramanand Teerth Marathwada University, Nanded, October 2012.

"Automorphisms of Grassmann varieties'', A series of two lectures,
Workshop and Conference on Groups and Geometries,
Indian Statistical Institute, Bangalore, December 2012.

"Betti numbers of StanleyReisner rings and generalized Hamming weights of codes and matroids", A series of four lectures, Workshop on Syzygies and Free Resolutions, Chennai Mathematical Institute, Siruseri, December 2012.

"Partitions of integers and an astonishing formula of Ramanujan'',
Shivaji University, Kolhapur, December 2012.

"Linear feedback shift registers and their
generalizations", A series of two lectures, National Workshop on
Computer Applications based on Modern Algebra, Manipal Institute of Technology, Manipal, January 2013.

"Determinantal varieties: Glimpses of Abhyankar's work and some
recent developments", National Conference on Topics in Commutative Algebra, Institute of Science, Mumbai, January 2013.

"Matrices, polynomials, and linear recurrences over finite fields",
Prof. N. E. Joshi Memorial Lecture,
National Conference on Recent Developments in Mathematics and Statistics/Annual
Conference of the Marathwada Mathematical Society, T. C. College, Baramati, February 2013.

"Elements of algebra", DST INSPIRE Internship
Science Camp, Loyola Degree College, Pulivendula, Andhra Pradesh,
April 2013.

"Grassmann varieties and linear codes", CCRG (Coding and Cryptography
Research Group) Seminar, Nanyang Technological University, Singapore,
April 2013.

"Vector spaces, matrices, and linear recurrences over finite fields", Colloquium talk, Brigham Young University, Provo, Utah, USA, May 2013.

"Recent developments in splitting subspaces and linear recurrences",
InformatikKolloquium,
ChristianAlberchts Universität Kiel, Kiel, Germany, May 2013.

"Linear codes related to Grassmann varieties", Plenary talk, 14th
International Conference on Arithmetic, Geometry, Cryptography and Coding
Theory (AGCT14), Centre International de Rencontres Mathématiques (CIRM), Luminy, France, June 2013.

"Word oriented LFSRs and splitting subspaces over finite fields",
Technical University of Denmark, Lyngby, Denmark, June 2012.

"Aspects of coding theory", A series of six lectures, Advanced Instructional School on Algebraic Combinatorics, Indian Statistical Institute, Bangalore, July 2013.

"Arithmetic progressions in rings of integers of number fields of class number one'', Conference "Global Fields", FrenchRussian Poncelet Laboratory, Moscow, Russia, September 2013.

"Matrices and linear recurrences over finite fields'',
Birla Institute of Technology and Science Pilani  Goa Campus, Goa,
September 2013.

"Differentiation of vector valued functions of several real variables'',
A series of six lectures,
Teachers Enrichment Workshop on Multivariable Calculus,
Bhaskaracharya Pratishthana, Pune, November 2013.

"Consecutive integers, perfect powers, and arithmetic progressions",
Plenary talk, National
Conference on Pure and Applied Mathematics, College of Engineering, Pune, December 2013.

"Excerpts from the work of S. S. Pillai and some recent developments",
TwoDays' UGCSponsored Statelevel Seminar on "Impact of Indian
Mathematicians on the World of Mathematics",
PatkarVarde College, Goregaon. Mumbai, January 2014.

"Linear Codes associated to some higher dimensional algebraic varieties",
Dr. G. R. Shendge Memorial Lecture (of the Marathwada Mathematical Society), National Conference on Recent
Trends in Pure and Applied Mathematics and Statistics, N.E.S. Science College, Nanded, January 2014.

"Perfect powers and a problem of Waring",
DST INSPIRE Internship Science Camp,
Loyola Degree College, Pulivendula, Andhra Pradesh, January 2014.

"Determinants and binomials in algebra, combinatorics and geometry",
Prof. S. C. Bhattacharya Award Lecture, Indian Institute of Technology Bombay,
Mumbai, March 2014.

"Matrices, linear maps, and canonical forms", A series of six lectures,
Instructional School for Lecturers (ISL) on Linear Algebra, Centre for
Excellence in Mathematical Sciences, Kumaun University, Almora, Uttarakhand,
March 2014.

"Linear feedback shift registers and some generalizations" (and also two additional lectures on coding theory), Workshop on Graph Theory, Coding Theory and Cryptography, National Institute of Technology, Durgapur, West Bengal, April 2014.

"Counting points of varieties over finite fields and some applications", Colloquium talk, Ramakrishna Mission Vivekananda University, Kolkata, April 2014.

"Grassmann varieties and related linear codes", Università degli
Studi di Siena, Siena, Italy, May 2014.

"Multiplicity and Hilbert series of jet schemes of determinantal varieties",
Seminario di Algebra, Università degli Studi di
Genoa, Genova, Italy,
May 2014.

"Splitting subspaces and vector recurrences", Workshop on Polynomials over
Finite Fields: Functional and Algebraic Properties, Centre de Recerca
Matemàtica, Barcelona, Spain, May 2014.

"Generalized Hamming weights of linear codes",
ChristianAlberchts Universität Kiel, Kiel, Germany, May 2014.

"Linear sections of Grassmann and Schubert varieties over finite fields",
Conference "Algebraic Geometry and Number Theory" on the occasion of
M.A. Tsfasman and S. Vladuts' 60th Birthday, FrenchRussian Poncelet
Laboratory, Moscow, Russia, June 2014.

"Matrices, polynomials, and recurrent sequences over finite fields'',
Indian Institute of Technology (BHU), Varanasi, July 2014.

"Evolution of the theory of equations'', DSTINSPIRE Internship Science Camp,
M. S. University of Baroda, Vadodara, July 2014.

"Stories from the theory of equations'', DSTINSPIRE Internship Science Camp,
Pt. Ravishankar Shukla University, Raipur, August 2014.

"Affine Grassmann codes and their duals", ICM 2014 Satellite Conference on
Algebraic Coding Theory, Ewha Womans University, Seoul, Korea, August 2014.

"Linear codes associated to determinantal varieties",
Fourteenth International Workshop on Algebraic and Combinatorial Coding
Theory (ACCTXIV), Svetlogorsk (Kaliningrad region), Russia, September 2014.

"Partitions of numbers, an identity of Euler, and an incredible formula of
Ramanujan", DST Inspire Science Camp, NMIMS, Vile Parle, Mumbai, November 2014.

"Theory of equations", A series of six lectures, NCM Instuctional School on
Galois Theory, SGGS Institute of Engineering & Technology, Nanded,
December 2014.

"Introduction to linear algebra and Hilbert spaces", Short Term Training
Program on Wavelets and its Applications, SGGS Institute of Engineering &
Technology, Nanded, December 2014.

"Classical determinantal varieties and their jet schemes", International
Conference on Algebra and its Applications, Aligarh Muslim University,
December 2014.

"Number of solutions of systems of polynomial equations over finite fields",
Twenty Fifth V. Ramaswamy Aiyer Memorial Award Lecture, 80th Annual Conference
of the Indian Mathematical Society, Indian School of Mines, Dhanbad, December
2014.

"Two exercises in probability, with an interlude on Weil conjectures", Indian
Statistical Institute, Kolkata, December 2014.

"Polynomial equations over finite fields", Platinum Jubilee Lecture, Section of
Mathematical Sciences, 102nd Indian Science Congress,
University of Mumbai, Mumbai, January 2015.

"Polynomial systems over finite fields and linear errorcorrecting codes",
Birla Institute of Technology and Science Pilani  Goa Campus, Goa,
January 2015.

"A brief introduction to the development of algebra",
Prof. V. R. Kulkarni Memorial Function, Smt. C.H.M. College, Ulhasnagar,
January 2015.

"Computation of the ainvariant of determinantal and ladder
determinantal rings", National Conference on Commutative Algebra and Algebraic
Geometry (CAAG2015), Indian Institute of Technology, Guwahati, February 2015.

"Counting solutions of systems of polynomial equations over finite fields",
Colloquium talk, Indian Institute of Science Education and Research, Pune,
March 2015.

"Defining π and the trigonometric functions without getting into
circles",
RMS Workshop on Some High Points of Undergraduate Mathematics Education,
Indian Institute of Science Education and Research, Mohali,
May 2015.

"Hyperplane sections of determinantal varieties over finite fields'',
Plenary talk, 30th Annual Conference of the Ramanujan Mathematical Society,
Indian Institute of Science Education and Research,
Mohali, May 2015.

"TsfasmanBoguslavsky conjecture for polynomial systems and
generalized Hamming weights of projective ReedMuller codes",
15th International Conference on Arithmetic, Geometry, Cryptography and
Coding Theory (AGCT15), Centre International de Rencontres Mathématiques
(CIRM), Luminy, France, May 2015.

"Polynomial systems over finite fields and ReedMuller codes",
Università degli Studi di Brescia, Brescia, Italy, May 2015.

"Linear codes associated to Grassmann and related varieties",
Arbeitsgemeinschaft in Codierungstheorie und Kryptographie, Institut für
Mathematik der Universität Zürich, Zurich, Switzerland, June 2015.

"Maximum number of solutions for systems of homogeneous polynomials over
finite fields", Plenary talk, Special Session on Algebra,
24th International conference on Nearrings, Nearfields and Related Topics, Manipal, July 2015.

"Number of points of Schubert varieties over finite fields",
8th International Conference on Lattice Path Combinatorics and Applications,
California Polytechnic University, Pomona, California, USA, August 2015.

"Shreeram Abhyankar and his work on enumerative combinatorics ", Memorial talk (shared with Devadatta Kulkarni),
8th International Conference on Lattice Path Combinatorics and Applications,
California Polytechnic University, Pomona, California, USA, August 2015.

"Linear sections of Veronese varieties and equations over finite fields", BYU Number Theory Seminar,
Brigham Young University, Provo, Utah, USA, August 2015.

"Number of solutions of equations over finite fields and coding theory", Colloquium talk,
Oakland Universiry, Rochester, Michigan, USA, August 2015.

"Polynomial Equations and their solutions", Plenary talk, UGC Sponsored National Conference on
Recent Trends in Mathematics & Statistics, M. D. College, Parel, Mumbai, September 2015.

"Algebraic varieties over finite fields and linear error correcting codes",
S. Minakshisundaram and V. K. Patodi Memorial Lecture of the Indian Mathematical Society,
International Conference on Mathematical Sciences, S.G.M. College, Karad, September
2015.

"Linear error correcting codes associated to Grassmann varieties", Invited talk, 7th International Workshop on Signal Design
and its Applications in Communications, in honour of P. Vijay Kumar's 60th birthday,
Indian Institute of Science, Bangalore, September 2015.

"Quadratic equations, cubic equations, and beyond", DST INSPIRE Internship Science Camp, Loyola Degree College, Pulivendula, Andhra Pradesh, October 2015.

"Affine Grassmann codes: An Introduction'', Birla Institute of Technology and Science Pilani  Goa Campus, Goa, October 2015.

"Matrices, polynomials, and recurrences over finite fields",
Cynosure  2015, Indian Institute of Technology Ropar. Rupnagar, Punjab,
November 2015.

"Determinants and characterisitic polynomials", A series of six lectures,
NCM Instructional School for Teachers on Linear Algebra,
SGGS Institute of Engineering and Technology, Nanded, November 2015.

"Basics of ring theory", A series of six lectures, NCM Instructional School for Teachers on Algebra,
Malaviya National Institute of Technology, Jaipur, December
2015.

"Early development of algebra", Shivaji University, Kolhapur, December
2015.

"Introduction to groups", A series of two lectures, National Workshop on
Algebra, Shivaji University, Kolhapur, December 2015.

"Polynomial equations over finite fields and coding theory", Plenary talk,
National Symposium on Mathematical Methods and Applications (NSMMA2015),
Indian Institute of Technology Madras, Chennai, December 2015.

"Linear algebra", Ramnarain Ruia College, Matunga, Mumbai, February 2016.

"A proof of the fundamental theorem of Algebra using linear algebra",
One Day State Level Workshop on Linear Algebra and Applications,
S. P. College, Pune, February, 2016.

"Equations over finite fields", 27th Ramanujan Endowment Lecture,
Anna University, Chennai, March 2016.

"Elementary transcendental functions", Valedictory Function of International Mathematical Olympiad Training Camp (IMOTC) 2016, Homi Bhabha Centre for Science Education, Mumbai, May 2016.

"Determinants done right". A series of two lectures, Workshop for
Undergraduates based on S. Axler's Linear Algebra done Right,
Bhaskaracharya Pratishthana, Pune, May 2016.

"Aspects of algebra", A series of three lectures, DST INSPIRE Internship Science Camp,
Dayanand Science College, Latur, June 2016.

"Systems of polynomial equations over finite fields and linear codes", Sonderkolloquium,
ChristianAlberchts Universität Kiel, Kiel, Germany, June 2016.

"Aspects of Grassmann and Schubert varieties over finite fields'', Kolloquium,
Universität Passau, Passau, Germany, July 2016.

"Number of solutions of polynomial systems over finite fields
and generalized Hamming weights of projective ReedMuller codes",
Workshop on Mathematics in Communications (WMC 2016), University of Cantabria, Santander, Spain, July 2016.

"Glimpses of Abhyankar's work on Young tableaux and determinantal varieties",
Symposium in Mathematics (on the occasion of Prof. Shreeram Abhyankar's birth
anniversary), Bhaskaracharya Pratishthana, Pune, July 2016.

"Number of zeros of multivariate polynomials over finite fields",
Plenary talk, The Asian Mathematical Conference (AMC 2016), Bali, Indonesia,
July 2016.

"Hyperplane sections of Schubert varieties over finite fields", National
Conference on Commutative Algebra and Algebraic Geometry (CAAG),
Indian Institute of Science Education and Research, Mohali, October 2016.

"Polynomial systems and projective ReedMuller codes", National Conference
on Algebra, Analysis, Coding and Cryptography, in honor of Prof. B. K. Dass
on the occasion of his retirement,
University of Delhi, New Delhi, October 2016.

"Development of the theory of equations and some applications",
MathMania 2016, University of Petroleum and Energy Studies,
Dehradun, November 2016.

"Algebra and some of its spectacular applications'', Eminent Scientist Lecture Series,
Birla College of Arts, Science and Commerce, Kalyan, December 2016.

"Maximum number of common zeros of homogeneous polynomials over finite fields",
IWM Regional Workshop on Research and Career Opportunities, Indian Institute
of Technology Gandhinagar, Palaj, Gandhinagar, December 2016.

"Historical development and some modern applications of algebra", Samvad 2016,
Aditya Silver Oak Institute of Technology, Ahmedabad, December 2016.

"Tricks and treats in the theory of equations", MATHTRIX 2016,
Ramnarain Ruia College, Matunga, Mumbai, December 2016.

"Some interactions between coding theory and algebraic geometry",
Workshop on Mathematics and Information, Indian Institute of Technology Bombay, January 2017.

"Matrices and polynomials over finite fields with applications to
cryptography", Invited talk, Indian Science Congress, S. V. University,
Tirupati, January 2017.

"Polynomial equations over finite fields'', Indian Statistical Institute
Kolkata, January 2017.

"Linear codes associated to Grassmann and Schubert varieties",
International Seminar on Algebra and Coding Theory, St. Berchmans College, Changanserry, Kerala, February 2017.

"The symmetric group", Oneday National Workshop on Group Theory & its
Applications, Anandibai Raorane Arts, Commerce & Science College,
Vaibhavwadi, February 2017.

"Factorization of rational primes in rings of integers of an algebraic
number field", Savitribai Phule Pune University, March 2017.

"An Introduction to the theory of partitions'', Mini Nurture Camp, K. J. Somaiya College of Science and Commerce, Vidyavihar, Mumbai, April 2017.

"Matrices, polynomials and linear recurrences'',
International Conference on Mathematics and its Applications (ICMA2017),
Ramjas College, Delhi, April 2017.

"Geometry of subspaces of a vector space, with applications to coding theory'', Banaras Hindu University,
Varanasi, April 2017.

"Algebra: ancient, classical and modern'', DST INSPIRE Internship Science Camp, Panjab University, Chandigarh, April 2017.

"Good bounds on the number of zeros of polynomials over finite fields'', Plenary talk, National Conference on Pure and Applied Mathematics, College of Engineering, Pune, May 2017.

"Number of zeros of polynomial equations over finite fields'', UiT: The Arctic University of Norway,Tromsø, Norway, May 2017.

"Linear codes associated to Grassmann and flag varieties'', 16th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGCT16),
Centre International de Rencontres Mathématique s(CIRM), Luminy France, June
2017.

"Number of points of projective algebraic sets over finite fields", Colloquium talk, Academy of Mathematics and Systems Science, Chinese Academy of Sciences,
Beijing, China, August 2017.

"Algebra: medieval and modern", Institute Lecture, Indian Institute of Technology Dharwad, September 2017.

"Many facets of affine Grassmann codes", National Conference on Advances in
Applied Mathematics and Statistics, Mata Sundari College for Women, Delhi,
September 2017.

"Maximal hyperplane sections of Schubert varieties over finite fields",
Finite Geometries: Fifth Irsee Conference, Irsee, Germany, September 2017.

"Grassmannians, Schubert varieties, and standard monomials", A series of six
lectures, NCM Workshop on Schubert Varieties, Institute of Mathematical Sciences, Chennai, October 2017.

"Hypersurfaces in weighted projective spaces over finite fields", National Conference on Commutative Algebra and Algebraic Geometry (CAAG2017), Indian Institute of Science Education and Research, Pune, December 2017.

"Zeros of polynomial equations over finite fields and coding theory",
International Conference on Algebra, Discrete Mathematics and Applications,
Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, December 2017.

"Arithmetic Progressions, entire functions, and some algebra'',
International Conference on Algebra and Analysis, Savitribai Phule Pune University, Pune, December 2017.

"Glimpses of the historical development of algebra", Srinivasa Ramanujan
Memorial Lecture, Gautam buddha University, Greater Noida, December 2017.

"Gröbner bases and coding theory", A series of four lectures,
NCM Instructional School on Gröbner Bases and Their Applications, Indraprastha Institute of Information Technology, Delhi, December 2017.

"Polynomial equations and their roots", DST INSPIRE Science Camp, Pandit Ravishankar Shukla University, Raipur, December 2017.

"Development of algebra", Ramniranjan Jhunjhunwala College, Ghatkopar, Mumbai, February 2018.

"Group actions and their applications", A series of four lectures, Ramnarain Ruia College, Matunga, Mumbai, February 2018.

"Vanishing ideals, Gröbner bases and the number of points of varieties over
finite fields", Two Days National Conference on Algebra, Panjab University, Chandigarh, February 2018.

"The theory of partitions, an identity of Euler, and a remarkable formula of Ramanujan",
Indian Institute of Technology Dharwad, March 2018.

"Historical development of algebra", PRAGYAA2018, SGGS Institute of Engineering and Technology, Nanded, March 2018.

"Matrices, polynomials and recurrences over finite fields'', Indian Institute of Science Education and Research, Mohali, April 2018.

"Number of solutions of polynomial equations over finite fields", Indian Institute of Science, Bangalore, June 2018.

"Primitive vector recurrences, Singer cycles and splitting subspaces", 14th Annual ADMA Conference and Graph Theory Day, Gandhinagar, June 2018.

"A finite field nullstellensatz and the number of zeros of polynomials over finite fields", Colloquium talk, Indian Institute of Technology Madras, Chennai, August 2018.

"Algebra: From classical to modern", DBT Star College Guest Lecture, N.E.S. Ratnam College, Bhandup, Mumbai, August 2018.
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