The Department of Mathematics comprises of 27 regular faculty members and three visitors with expertise in various areas of Mathematics, Statistics and Theoretical Computer Science. The faculty members strive to maintain quality teaching and research standards. Year after year, the faculty is winning awards for excellence in teaching and research contribution.

There is an active involvement of the department in developing partnership with industry in terms of providing solution strategies for industrial problems. Pfizer Ltd. has sponsored four Scholarships for M.Sc. students to promote this partnership.

The Industrial Mathematics Group (IMG) at I.I.T Bombay aims to provide necessary inputs for Mathematical Technology in terms of

* Research and Development Projects

* Consultancy Projects

* In-House and In-Campus Workshops

* Curriculum Development Activities

* Skill Development Activities

Essentialy, these objectives entail forging long term partnership betweeen the academia and industry by

* PROVIDING viable Mathematical framework to analyse and comprehend efficient methodologies in Technological processes

* DESIGNING appropriate mathematical and statistical software for industrial problems supplemented with Courseware and Teachware.

* ESTABLISHING computer aided instructional environment equipped with a software library developed in-house.

* TRAINING of scientists and engineers in the realm of industrial Mathematics for technical competence and human resource development.

* DEVELOPING a Network of Indunstrial Mathematics for collaborating with local industrial units on a continuing basis.

* CREATING FTP site for public domain numerical software packages to function as a mirror site of similar centres in the World.

Seminars in various areas have been held throughout the year. In addition, the faculty members were involved in organizing international workshops, CEP programs, national/international conferences, and in writing books. They also carried out honorary work like referee jobs for journals, reviewing projects, examining Ph.D. theses and serving on selection committees of other universities. Throughout the year, a steady stream of visitors from other institutes in India and abroad has contributed to the seminar and colloquia activities.

Besides the teaching of B. Tech. Courses, the department offers M.Sc. and Ph.D. programmes along with its research activity. It has two distinct M.Sc. programmes. M.Sc. in Mathematics (intended for those who wish to pursue research and/or teaching as their career) and M.Sc. in Applied Statistics and Informatics (ASI) (job oriented).

In addition, the Department has a research programme leading to Ph.D. degree. This programme has a broad based course work and specialization in Pure Mathematics, Applied Mathematics and Scientific Computing and Statistics.

As one of the key instruments of
fostering excellence in *Research & Development *in Mathematical
Sciences, this programme focuses on a strong link between `**Mathematics and
its Applications**'. There are not many research centers in India with this
kind of focus and the Department is striving continuously for excellence in
research & development in mathematical sciences

.
The key objectives of the research and development activities of the
department are: **Basic Research, **focusing in contemporary areas of
fundamental, developmental and strategical importance, **Interdisciplinary
Research, **aiming at** **development of multidisciplinary research teams
involving mathematicians and scientists/engineers in frontier areas of
Mathematics and Statistics, **Academic Interaction, **gearing towards
establishment of individual and institutional contacts between the Department
of Mathematics and various educational and Research & Development
Organisations in the country such as major universities, TIFR, IISc, ISI, ISRO,
DRDO, ONGC, Indian Meteorological Centers, etc., and nodal organisations such
as CSIR, DAE, DST, etc., for scientific exchange of ideas of national
importance. In order to fulfill the
broad objectives of research activities, steps are taken to ensure that, the
theoretical base in emerging areas are strengthened, interdisciplinary problems
requiring mathematical solutions are identified, interaction between Indian and
overseas scientists are facilitated, local talents are well nurtured through
lecture series and instructional workshops and by evolving a pool of trained
manpower in thrust areas.

The research interests of the faculty members cover a wide range of fields:

v Algebraic Geometry, Commutative Algebra, Riemannian Geometry ,Algebraic Topology , Number Theory.

v Combinatorial Optimization & Application

v Approximation Theory, Functional Analysis and Harmonic Analysis

v Biomechanics, Mechanics of Solids and Fluids

v Industrial Mathematics & Financial Mathematics

v Computational Biology &

Bio-Statistics

v Numerical Analysis & Scientific Computing

v Partial Differential Equation and Optimization & Control

v Image Processing & Pattern Recognition

v Applied Probability, Stochastic Differential Game Theory, Inference of Stochastic processes & Statistical Inference

v Reliability theory, Industrial Statistics, Geo-Statistics & Statistical Signal Processing

Faculty members undertake projects sponsored by organizations such as National Board for Higher Mathematics (NBHM), Indian National Science Academy (NSA), Board of Research in Nuclear Science (BRNC), Council of Scientific & Industrial Research (CSIR), Department of Science & Technology (DST), Department of Bio-Technology (DBT), and Indian Council of Medical Research. Some

of the important ongoing and
recently completed projects are listed below:

**DBT** - Software Development
for Ab-initio Prediction of 3D structure of Proteins using Knowledge-Based Nonparametric
Regression, 2003, ongoing.

**DST **- *Construction of
Optimal Reliability Test Plans*, 2002, ongoing.

**Vistaar.com **- *Issues in
Designing Multidimensional Databases*, 2001, ongoing.

**European Union** **ASIA-IT**
funded WEBOPT project, 2003, ongoing.

**CSIR**- *Analytical and
Numerical Studies of Quasilinear Systems of*

*Hyperbolic and Parabolic PDEs
with Applications, 2002, ongoing.*

**DST- ***Workshop in
Mathematics, 2003, ongoing.*

**MHRD** - *On the development of interactive
courseware modules in Mathematics,2003,ongoing*

A number of new initiatives have been taken in the recent past to consolidate and strengthen research & development activities and also encourage collaboration with the other Departments at IIT Bombay as well as other academic organisations and industries.

Project Title: Combinatorial and computational aspects of some
algebraic

varieties

Sponsoring Agency: IRCC

Amount generated: 2 Lakhs

Beginning Year:

End Year:

**Joshi R.R.**

Project Title: Softeware Development for Ab-initio Prediction of 3D
structure of Proteins using Knowledge-Based Nonparametric Regression

Sponsoring Agency: Dept.
of Biotechnology, Govt. of India.

Amount generated: 11.76 Lakhs

Beginning Year: 2003

End Year: 2005

**Neela Nataraj**

Project Title: Parallelization of mixed finite element
methods for * *source/ eigenvalue
problems

Sponsoring Agency:DST

Amount generated: 5.76 Lakhs

Beginning Year: 2001

End Year: 2004

Project Title: A parallel mixed finite element implementation
of* *IV order elliptic source/ eigenvalue problems in distributed memory
environments.

Sponsoring Agency: IRCC

Amount generated: 3 lakhs

Beginning Year: 2003

End Year: 2005

**Patkar Sachin **

Project Title: WebOPT

Sponsoring Agency: European Union ASIA-ITC

Amount generated:

Beginning Year: 2003

End Year: 2005

**Rana I.K.**

Project Title: Preperation of electronic courseware and awareness Modules in Mathematics.

Sponsoring Agency: MHRD

Amount generated: 16,00,000/-

Beginning Year: 2003

End Year: 2005

**Sabnis S.V.**

Project Title: Study of Optimal Reliability Test Plans

Sponsoring Agency: DST

Amount generated: 6.43 lakhs

Beginning Year: 2002

End Year: 2005

Project Title: Morphological versus Molecular Approach to
the Taxonomy

of Foraminifers.

Sponsoring Agency: Institute Strategy
and Planning Committee (ISPC), IIT Bombay (Cross-Disciplinary Research Groups)

Amount generated: 6.12 lakhs

Beginning Year: 2003

End Year: 2005

**Sharma V.D**

Project Title: Analytical and numerical methods for hyperbolic conservation laws with applications.

Sponsoring Agency: CSIR

Amount generated:Around 7 Lakhs

Beginning Year:2003

End Year: 2005

**Subramanyam A.**

Project Title: Stochatic Modelling, Analysis, and Optimization of Resource Allocation.

Sponsoring Agency: ISPC, IIT Bombay

Amount generated: 5.7 lakhs

Beginning Year: 2003

End Year: 2005

**Suresh Kumar K.**

Project Title: WebOPT

Sponsoring Agency: European Union ASIA-ITC

Amount generated: 30,00,000/-

Beginning Year: 2003

End Year: 2005

Project Title: Stochatic Modelling, Analysis, and Optimization of Resource Allocation.

Sponsoring Agency: ISPC, IIT Bombay

Amount generated: 5.7 lakhs

Beginning Year: 2003

End Year: 2005

**Swaminathan V.**

Project Title: Stochatic Modelling, Analysis, and Optimization of Resource Allocation.

Sponsoring Agency: ISPC, IIT Bombay

Amount generated: 5.7 lakhs

Beginning Year: 2003

End Year: 2005

ATM is an effort to strengthen the training programmes in Mathematics at Ph.D level There are a large number of doctoral students, postdoctoral fellows, university teachers in the universities, IITs, ISIs and various research institutes in the country. They often learn very limited amount of mathematics during their doctoral programme. One of the reasons is lack of a regular training programme at doctoral level in most places. As a result, foundations of their knowledge remain weak although they may know a lot in the area of their research. This hampers their growth in the future and it also has a negative impact on the programme they carry out when they become faculty members.

To remedy this situation a group of mathematicians from various institutes in the country have proposed a sustainable model of training at national level in the inter-related areas of algebra, analysis, partial differential equations, discrete mathematics, geometry, number theory and topology. This integrated training programme will provide basic and advanced knowledge in these areas and emphasize their interconnections via a series of instructional schools to be held in Winter and Summer every year at various levels in about a dozen carefully selected departments of mathematics across the country. The first such school is being held at IIT Bombay.

These instructional programmes will have the twin aims of training research scholars in their formative years by some of the leading researchers in the country and bringing together post-doctoral fellows, young faculty, as course associates and senior and active researchers as lecturers enable them to interact for possible research collaboration on the topics of lectures in the advanced schools.

**WORM
2003**

The Industrial Mathematics Group (IMG) at the Indian Institute of Technology (Bombay), Jadavpur University (Kolkata), University of Vienna (Austria), and The Centre for the Analysis of Risk and Optimisation Modelling Applications (CARISMA) at Brunel University (UK) are partners in an European Union funded project called “Web enabled optimization tools and models for research, professional training and industrial deployment (WEBOPT)”. The main objective of the WEBOPT project is to disseminate knowledge and information in the areas of Mathematical Modeling, Optimization and Computational Algorithms among academic scientists and industrial researchers in India.

A workshop followed by one day seminar
was organized in the Department of
Mathematics at Indian Institute of Technology Bombay during 18-22 December
2003.** **The primary
objective of the workshop is to introduce academics and researchers in India to
modeling techniques and solution approaches for large-scale optimization
problems and decision making under uncertainty and risks.It is also intended to
discuss the financial planning involving portfolio selection, asset liability
management models and index tracking.Last but not the least goal is to develop
a network of European and Indian academicians research scientists and to
increase the interaction between the academia and industry in India.

**9 ^{th} WORKSHOP IN
MATHEMATICS**

The DST
Sponsored 9^{th} Workshop in Mathematics was organized in our Institute
by Prof. Inder K.Rana. from October 11^{th} to 16^{th}, 2003.
About 45 students from colleges in western region participated in the workshop.

**POPULAR
LECTURE SERIES**

The faculty is actively involved in various programmes, popularizing / training of mathematics such as NBHM sponsored nurture programme, Ganit Utsav organized by Bombay Mathematical Colloquium, popular lectures at Nehru Science Centre etc.

Another important activity in this direction is the Popular Lecture Series in Mathematics - a joint activity of Mathematics Association of IIT, Bombay and Bombay Mathematical Colloquium.

This was started in 1997 by the Mathematics Association of IIT, Bombay. Forty lectures have been held under this series so far on diverse topics in mathematics.

The lectures are aimed at a wide spectrum of audience. Besides mathematicians, we also invite scientists and engineers who apply mathematics in research and development in their area. The speakers are instructed to start from the basics and build their lecture so that beginners as well as experts can benefit. The series has become extremely popular among students and faculty at IIT and college teachers in Mumbai.

**VISITORS TO OUR DEPARTMENT**

24 July, 2003

**Prof. H.Ananthnarayan**, University of Kansas, USA

Tates Resolutions

30 July, 2003
**Prof.R.Sridharan**, Chennai Mathematical Institute,Chennai

Lemniscate.

1 August, 2003

**Prof. T.N.Sriram**, University of Georgia, USA

Fixed width confidence interval based on a minimum Hellinger distance estimator.

15 September 2003

Profinite Groups and the Main Theorem of Galois Theory.

19 September, 2003

**Prof.Ramadevi**, Department of Physics,IIT Bombay,
Knots,Links and Three-dimensional Manifolds

27 Octobber 2003

**Dr.Abani K.Patra**,University of Buffalo,New York

Modeling and Simulation of Granular Avalanches Over Natural Terrain

31 October, 2003

**Prof. V.R.Sule**, Department of Electrical Engg,IIT
Bombay
Science of Automatic Control:Paradigms and Puzzles.

3 November, 2003

**Prof. Anand Srivastav**, Kiel University, Germany

Randomized Approximation

21 November, 2003

**Prof. Ramesh Korwar**, University of Massachusetts

Recent developments in Stochastic orders for order statistics.

16 December 2003

**Prof.Lokenath Debnath**, University of Texas-Pan

Four Major Discoveries in Applied Mathematics

3 December, 2003
**Ashwin Vaidya, **University of Pittsburgh, USA
Mathematical Analysis of Orientation of Rigid Bodies Sedimenting in Newtonian
and Non-Newtonian Liquids

29 December
**Jaydeep chipalkatti, **University of British Columbia, Canada
Polar
polyhedra of algebraic forms .

2 January, 2004
**Prof. K.N. Raghavan, **Institute of Mathematical Sciences,
Chennai
Picture Invariants for Lie Algebras

5 January, 2004 **Prof.S.A
Naimpally**, Lakehead University, Canada
All Hypertopologies are hit and miss topologies.

5 January, 2004
**Prof. Parameswaran Sankaran, **Institute of Mathematical Sciences,
Chennai ** **The
remarkable Richard Thompson groups.

13 January, 2004
**Prof.Sriram Pemmaraju**, Department of Computer Science, University
of Iowa Analysis of First-Fit-On-Line coloring for interval graphs.

20 January, 2004
**Prof. J.Batt, **University of Munich, Germany**
**Approximation
of Shocks by Solutions of systems of Ordinary Differential Equations

23 January, 2004
**Prof.Pablo Ares Gastesi,** TIFR, Mumbai
Iteration in complex planes,Kleinian Groups;Complex dynamics and
computers

29
January, 2004
**Prof. D.V Pai **, IIT Bombay
Strong
uniqueness in simultaneous Approximation.

Jan 31, 2003
**Prof. Dr. F. Ischebeck**, University of Muenster, Germany
Vector Bundles and Projective Modules.

11 February, 2004

**Dr. Swapneel Mahajan**, TIFR, Mumbai

Projections, Shellings and Duality

17
February, 2004 **Dr.
Akash Nanavati ** Co-ordination
Mechanisms

1 March, 2004
**Prof.A.D.Dharmadhikari**,Dept. of Statistics,University of
Pune
Design of Experiment to improve the Reliability of a component in a
series system.

1 March, 2004
**Prof. B.K Sinha**,Math-Stat Unit,ISI,Kolkata Some
Probabilistic and Statistical Aspects of Discovery of Species.

16 March, 2004
**Prof.H.N Mhaskar**,Dept. of Matheamtics,California
University,USA
Local Polynomial Operators

17 March, 2004
**Dr.J.Prajapat**,ISI,Bangalore
A New Characterization of the Sphere

19 March, 2004
**Prof.Manjul
Bhargava **Princeton University,New Jersey,USA
Representation of Integers By Quadratic Forms

23 March, 2004 **Prof.Gunter
Meyer**, Georgia Institute of Technology,Germany
The Numerics of Pricing Equity Options.

** Ameer Athavale** (Professor-
VF)

*Functional Analysis*

**Bagai Shobha** (Assistant Professor - VF)

*Fluid Dynamics*

**Ghorpade Sudhir R**. (Professor)

*Algebraic Geometry,
Combinatorics*

**Joshi K. D**. (Professor)

*Topology, Discrete Mathematics*

**Joshi Mohan C**. (Professor)

*Nonlinar Analysis , Control
Theory*

**Joshi R. R**. (Professor)

*Computational Biology and
Biostatistics, Bioinformatics*

**Kulkarni Rekha P**.
(Professor)

*Numerical Functional Analysis,
Spline Theory*

**Limaye Balmohan V**. (Professor)

*Functional Analysis, Numerical
Analysis, Spectral Approximation*

**Mitra Amit **(Assistant Professor)

*Statistical Signal Processing*

**Neela Nataraj **(Assistant Professor)

*Finite Element methods*

**Pai Devidas V**. (Professor)

*Functional Analysis,
Approximation Theory, Set-valued Analysis*

**Pani Amiya K**. (Professor)

*Numerical Analysis, Partial
Differential Equations, Industrial
Mathematics*

**Parihar K. S**. (Professor)

*Mechanics of Solids*

**Patkar Sachin B**. (Associate Professor)

*Combinatorial Optimization,
Algorithms*

**Prakash J**. (Professor)

*Tribology*

**Puthenpurakal T.J **(Senior Lecturer)

*Commutative Algebra*

**Rana Inder K**. (Professor)

*Harmonic Analysis, Mathematics
Education*

**Ranjan Akhil**
(Professor)

*Differential Geometry *

**Sabnis S. V**. (Associate
Professor)

*Reliability Theory, Industrial
Statistics*

**Sharma V.D**. (Professor)

*Quasilinear Systems of PDEs/
Nonlinear Waves*

**Shastri A. R**. (Professor)

*Algebraic Geometry, Algebraic
Topology *

**Srinivasan Anitha**
(Lecturer)

*Number Theory*

**Srinivasan G. K**. (Assistant
Professor)

*Partial Differential Equations *

**Srinivasan M. K**. (Associate
Professor)

*Combinatorics*

**Subramanyam A**. (Associate Professor)

*Statistical Inference,
Geostatistics*

**Sureshkumar K**. (Assistant Professor)

*Stochastic Differential Game
Theory, Mathematical Finance.*

**Swaminathan V**. (Assistant
Professor)

*Inference for Stochastic
Processes*

**Vellaisamy P**. (Professor)

*Applied Probability,
Statistical Inference, Industrial Statistics*

**Verma J. K.** (Professor)

*Commutative Algebra*

(Book)

“The Hilbert series of Pfaffian rings, in Algebra, Arithmetic and Geometry with Applications” Edited by C. Christensen, C. Bajaj, G. Sundaram and A. Sathaye, pp. 337-356, Published by Springer-Verlag, New York, 2003.

C. Krattenthaler.,

(Proceedings)

“Classical varieties, codes and combinatorics, in: Formal Power Series and Algebraic Combinatorics”, Actes/Proceedings, K. Eriksson and S. Linusson Eds., Linkping University, Sweden, pp. 75-84 (Vadstena, 2003)

M. A. Tsfasman.,

**Joshi K.D**

(Book)

“Educative JEE Mathematics”, Universities Press, Hyderabad, 2004.

**Joshi R.R**

(Journals)

“Ab-initio Prediction and Reliability of Protein Structural Genomics by PROPAINOR”, Computational Biology & Chemistry, Vol. 27(3), pp. 241-252, 2003.

S. Jyothi.

“Ab-initio Computation of the 3d-Structure of Proteins by Nonparametric Statistical Methods - Medium and Short Range Distance Estimates”, Sankhya, Vol. 65 (3) pp. 593-611, 2003.

S. Jyothi.

**Kulkarni R.P**

(Journals)

“A Superconvergence Result for Solutions of Compact Operator Equations”, Bulletin of the Australian Mathematical Society, pp. 517-528, 68 - 2003.

<<

“A New Projection Method for Approximate Solutions of Eigenvalue Problems”, Numerical Functional Analysis and Optimization, pp. 75-84, 24 - 2003.

“Iterated Discrete Polynomial-based Galerkin Methods”, Applied Mathematics and Computation, pp. 153-165, 146 - 2003.

N. Gnaneshwar

(Proceedings)

“A New Superconvergent Projection Method”, Integral Methods in Science and Engineering (IMSE 02), Analytic and Numerical Techniques, Birkhauser, Boston, Edited by M. Ahues, C. Constanda and A. Largillier, ISBN 0-8176-3228-X, 2004.

**Limaye B.V**

(Proceedings)

“Spectral approximation for compact integral operators”, International Conference on Integral Methods in Science and Technology , St-Etienne, France, August 2002, Published by Birkhauser, Boston, pp 115 to 122, 2003

**Neela Nataraj**

(Journal)

“Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments”,

Applied Mathematics and
Computation*, *25 September, 2003.

Kshitij Kulshreshtha, Michael Jung.

(Journal)

“Well Posedness of some Problems in Approximation, 70 (2003), J. Indian Mathematical Society.

“On well-posedness of a some problems in Approximation Theory,ie: Advances IN Constructive Approximation : Vanderbilt 2003”, Mike Neamtu and Ed Saff (eds.), ISBN 0-9728482-2-3, Nashbore Press, Brentwood, TN, 2004, USA.

.

(Journal)

-“Finite element methods for parabolic variational inequalities with a Volterra term”, Numer Funct. Anal and Optmiz. pp.107-127, 24 - 2003.

Pradeepa Nair.

“The effect of spatial quadrature on the semisiscrete finite element Galerkin method for a strongly damped wave equation”, Numer Funct. Anal and Optmiz ,no. 3-4, pp.311-325,

2003.

Rajen K. Sinha, S. K. Chung.

(Proceedings)

“Semi-discrete finite element method for a class of visco-elastic problems with long memory under
condition of friction”, Ninth International Conference on Hyperbolic

Problems : Theory, Numerics and Applications, Springer Verlag, pp. 745-754,
2003.

Pradeepa Nair.

“Sliding motion of discontinuous dynamical systems described by differential algebraic equations”, 2002 American Control Conference, Omni Press, pp. 795-800, 2003.

Jyoti Agrawal , Kannan M. Moudgalya

**Patkar Sachin**

(Journal)

“Fast On-line/Off-line Algorithms for Optimal Reinforcement of a Network and its Connections with Principal Partition”, Journal of Combinatorial Optimization, vol. 7, no. 1, pp. 45-68, 2003.

H. Narayanan.

“The Realization of Finite State Machines by Decomposition and the Principal Lattice of Partitions of a Submodular Function”, Discrete Applied Mathematics (Special Issue on Submodularity), 131, pp. 299-310, 2003.

M.P. Desai , H. Narayanan.

“Fitting Convex Surface to Scattered Data Points with Applications to Medical Imaging”, WSEAS Transactions, vol. 3, no. 1, pp. 50-56, 2004.

Ravi S. Gautam.

(Proceedings)

“A J2EE Based Design and
Implementation of a Decision Support System for

Scheduling in a Bearing Heat Treatment Plant”, NCOOT2003: 5th National
Conference on Object Oriented Technology, 2003.

B.R.S.M. Jothi, Nikhil Maheshwari , Neha Pandey

**Prakash J**

(Journal)

“Effect of Velocity slip in a Narrow Rough Porous Bearing”, Proc. Instn. Mechanical Engineers, J. Engineering Tribology, (U.K) Vol.217, pp 59-70, 2003.

K.Gururajan.

**Ranjan A**

(Journal)

“Busemann Functions in a Harmonic Manifold”, Geometriae Dedicata, 101, 2003.

Hemangi Shah.

**Sharma V.D**

(Journal)

**“**On weakly Nonlinear waves
in media exhibiting mixed Non-linearity”, J.Math.Anal.Appl. (USA), Vol285 ,
pp.629-641, 2003.

Srinivasan G.K

“A note on the jump conditions for systems of conservation laws”, Studies in Applied .Mathematics (USA), Vol 110, pp.391-396, 2003.

Srinivasan G.K

“Modulation equations of weakly non-linear geometric optics in media exhibiting mixed non-linearity”, Studies in Appllied Mathematics (USA), Vol. 110, pp.103-122, 2003.

Srinivasan G.K

“Propogation of strong converging waves”, J.Engg..Math (Kluwer Academic, The Netherlands), Vol. 46, pp.55-68, 2003

G.Madhumita

“Dissipative Waves in a Relaxing Gas exhibiting Mixed Nonlinearity”, Nonlinear Dynamics (Kluwer Academic, The Netherlands), Vol. 33, pp.283-299, 2003

G. Madhumita, S.A.V. Manickam

“Far Field behaviour of waves”, Appl.Num.Math. (Elsevier, The Netherlands), Vol 45, pp.293-301, 2003.

Radha, G.Manickam

**Srinivasan G.K**

(Journal)

“On Weakly Nonlinear waves in media exhibiting mixed Nonlinearity”, Journal of Mathematical Analysis and Applications, Vol 285, No 2, pp 629-641, 2003.

Sharma V.D.

“Energy Dissipated Across Shocks in Weak Solutions of a Scalar Conservation Law”, Studies in Applied Mathematics, Vol 112, pp 281-291, 2004.

Sharma V.D.

**Srinivasan M.K**

(Proceedings)

“An inversion number statistic on
set partitions (extended abstract)”, Proceedings of the R.C. Bose Centenary
Symposium, held in December 2002,

at Indian Statistical Institute, Kolkata, Electronic Notes in Discrete
Mathematics 15, pp 84-86, 2003.

Rajendra S. Deodhar

**Puthenpurakal T.J**

(Journal)

“Hilbert-coefficients of a Cohen-Macaulay module”, Journal of Algebra, 264, pp 82-97 2003.

**Vellaisamy P**

(Journal)

“Estimation and design of sampling plans for monitoring dependent production process”, Methodology and Computing in Applied Probability, Vol. 5, pp 85-108, 2003.

S. Sankar, Taniguchi. M.

“Quantile estimation of the selected exponential population”, Journal of Statistical Planning and Inference, Vol. 115, pp 461-470, 2003.

**Verma J.K**

(Journal)

“Hilbert Coefficients and Depth of Fiber Cones”, Communications in algebra, Vol. 32, pp 1445-1452, 2004.

A.V.Jayanthan, B. Singh.

“Bounds on the a-invariant and reduction numbers of ideals”, Journal of Algebra, Vol. 274, pp 594-601, 2004.

C. D Cruz, V. Kodiyalam.

Ø Title: International Conference on Commutative
Algebra and Combinatorics.
Organizer: Harish-Chandra
Research Institute, Allahabad.

National/International: National
Details:

Ø Title: Joint India-AMS Meeting Organizer: Sudhir R. Ghorpade, Hema Srinivasan , J.K. Verma Sponsors: AMS, NBHM, DST. Duration: 17/12/2003 To 20/12/2003 National/International: National

Details:

Ø Title: Configuration spaces for point-sets and
torus actions on Grassmannians.
Organizer: IIT Bombay
National/International: National
Details: 5th National Meeting on
Commutative Algebra and Algebraic Geometry,

IIT Bombay, Mumbai, April 2003.

Ø Title:
Mini Workshop on Curves over Finite Fields.
Organizer: University of Mumbai.
National/International: National
Details: Zeta functions of curves
over finite fields , A series of two

lectures, Mini Workshop on Curves over Finite Fileds, University of

Mumbai, Mumbai, July 2003

Ø Title: International Conference on Mathematical Biology. Organizer: Dept. of Bioscience, Bioengg. and Dept. of Mathematics, IIT Kanpur National/International: National Duration: 19/2/2004 To 21/2/2004 Details: Talked on Statistical Data Mining Applications in Bioinformatics - Prediction of 3D Structure of Proteins

Ø Title: International Congress on Industrial and Applied Mathematics, ICIAM 2003. Organizer: Sydney, Australia. National/International: International Duration: 7/7/2003 To 11/7/2003 Details: Talked on Extrapolation using a New Projection Method

Ø Title: International Workshop ANODE 2003. Organizer: University of Auckland, Auckland, New Zealand. National/International: International Duration: 14/7/2003 To 25/7/2003 Details: Talked on a New Superconvergent Projection Method for Approximate Solutions of Compact Operator Equations.

Ø Title: Eleventh Ramanujan Symposium on Recent Trends
in Operator Theory

and Banach Algebras
Organizer: Ramanujan Institute, University of Madras, Chennai.
National/International: National Duration:
3/3/2004 To 5/3/2004
Details: Talked on Approximate Solution of Integral Equations of the
Second Kind.

**Ø **Title:
Approximation Methods and Orthogonal Expansions
Organizer: University of Tartu, Estonia
National/International:
International
Duration:
12/9/2003 To 14/9/2003
Details: Talked on Improvement
of Accuracy in Spectral Approximation.

**Ø **Title: International Conference on Industrial Mathematics

National/International: International Duration: December 2003

**Ø **Title:
** **Annual Conference of Orissa
Mathematical Society
Organizer: Orissa Mathematical Society National/International:
National
Duration:
February 2004

**Pai D.V**

**Ø **Title: Advances in Constructive Approximation

National/International: International Duration: May 14 - 17, 2003

Details: Delivered a lecture on “well-posedness of some problems in approximation theory.

Ø Title:
69^{th} Annual Conference of the Indian Mathematical Society
National/International: National
Duration: December 2003

Details: Delivered a lecture on “Strong unicity in simultaneous approximation”.

**Pani A.K**

Ø Title: Eleventh MAFELAP conference on the Mathematics of Finite Elements and Applications held at Brunel University. Organizer: Brunel University (UK) National/International: International Duration: 21/6/2003 To 24/6/2003 Details: Talked on Finite Element Galerkin Methods for the Equations of Motions Arising in the Model of Viscoelastic Fluids.

Ø Title:
31st OMS Conference held in the Institute of Physics,

Bhubaneswar
Organizer: Institute of Mathematics and Applications, Bhubaneswar National/International: National
Duration: 7/2/2004 To 8/2/2004
Details: Talked on How to Compute
a Fair Price for an Option Derivative in Financial Market : A Case Study and
Its Mathematical Implications.

**Ø **Title:
Foundations of Software Technology and Theoretical Computer Science Organizer: IIT Bombay National/International: International
Duration: 15/12/2003 To 17/12/2003

**Ø **Title:
5^{th} Conference onCommutative Algebra and Algebraic Geometry.
Organizer: IIT Bombay
National/International: National
Duration: 1/4/2003 To 5/4/2003
Details: Talked on** **Resolutions of modules over local rings

**Ø **Title:
International conference on Commutative algebra and Combinatorics Organizer:
Bhaskaracharya Pratishthana, Pune and HRI, Allahabad.
National/International:
National.
Duration: 8/12/2003 To 14/12/2003
Details: Talked on
Cohen-Macaulay modules of dimension two with generalized Cohen-Macaulay
associatedgraded modules.

**Ø **Title:
Session for Young Researches in Commutative Algebra and

Algebraic Geometry Organizer:
Indian Institute of Science, Bangalore.
National/International: National.
Duration:
16/12/2003
Details: ** **Talked on** **Resolutions
of modules over local rings.

**Ø **Title:
Workshop in Mathematics Organizer:
Department of Mathematics, IIT Bombay
National/International: National

**Ø **Title:
Indian Society for Probability and Statistics (ISPS) Confernence. Organizer: Dept of Statistics, Nagarjuna
University, Guntur (A. P.)
National/International:
National
Duration: 18/12/2004 To
20/12/2004
Details: ** **Talked on
Construction of Optimal Reliability Test Plans in the presence of Covaraites-
Series Systems .

**Ø **Title:
Fifth International Triennial Calcutta Symposium on Probability and

Statistics
Organizer: Dept of Statistics,
Calcutta University and Calcutta Statistical Association
National/International: National
Duration: 28/12/2004 To 31/12/2004
Details: ** **100 (1-d)%
Confidence Intervals for Parameters of Weibull Distribution Based on Samples of
size one and n (> 2)** .**

**Ø **Title**: **International Symposium on Emerging
Strategies for Improving Productivity, Quality and Reliability.
Organizer: ** **Indian
Association for Productivity, Quality and Reliability in collaboration with
Central Glass \amp Ceramic Research Institute. ** **National/International: International
Duration: 12/12/2003 To 14/12/2003 Details: Construction of Optimal Reliability Test
Plans in the Presence of Covariates- Parallel System.

**Ø **Title: Recent Developments in Probability and
Statistics
Organizer: Dept of Statistics,
University of Pune, Pune.
National/International:
National.
Duration: 23/12/2003 To 25/12/2003
Details: Talked on Estimation and Construction of
Bounds in Prototype Testing .

**Ø **Title: India-AMS Joint Meeting
Organizer: IISc Bangalore
National/International:
International. Duration:
17/12/2003 To 20/12/2003
Details: Talked on Topology of
Matrix Varieties

Ø Title:
Third Haifa Workshop on Interdisciplinary Applications of Graph Theory,

Combinatorics, and Algorithms, in honor of Peter L. Hammer. Organizer:
Caesarea Rothschild Institute, University of HaifaHaifa, Israel National/International: International. Duration:
27/5/2003 To 29/5/2003
Details: Talked on Threshold
Graphs, the Polytope of degree sequences, and the Alternating Cone.

Ø Title: Operations Research with Economic and Industrial Applications. Organizer: ISI, Kolkata India. National/International: International. Duration: 8/1/2004 To 10/1/2004 Details: Talked on the Alternating Cone of a 2-Colored Graph .

**Ø **Title:
Golden Jubilee Conference on Recent Developments in Statistics Organizer: Department of Statistics,
University of Pune.
National/International: National.
Duration: 22/12/2004 To
24/12/2004
Details: Talked on Cokriging and Kriging Systems.

**Ø **Title:
Queues, Inventory, Reliability, Maintenance and Replacement Organizer:
Department of mathematics, CUSAT, Kochi
National/International:
National.
Duration: 19/2/2004 To 22/2/2004
Details: ** **Risk-sensitive
portfolio optimization problem with stochastic interest

rate.

**Swaminathan V**

**Ø **Title:
Golden Jubilee Conference on Recent Developments in Statistics Organizer: Department of Statistics,
University of Pune.
National/International: National.
Duration: 22/12/2003 To 24/12/2003
Details:
Talked on a Note on Geometric Ergodicity of an Asymmetric beta-ARCH Model.

**Ø **Title:
Emerging strategies for improving productivity, quality and reliability Organizer: IAPQR , Department of
Statistics, Calcutta University, Kolkatta. National/International:
International.
Duration: 12/12/2003 To
14/12/2003 Details:
** **Talked on** **Optimal
component reliabiltiy test plans for a parallel system based on Type-II censoring.

Ø Title:
International Workshop on Applied Probability
Organizer: M.V Koutras, University of Piraeus, Greece.
National/International: International. Duration:
21/3/2004 To 24/03/2004
Details: ** **Talked on
Poisson Approximation for (k1, k2)- events via Stein-Chen method.

**Ø **Title:
International Conference on Commutative Algebra and Combinatorics Organizer: W.
Bruns, N. V. Trung, R. A. Rao, R. V. Gurjar, S. A. Katre, S. D. Adhikari
Sponsors: DST, NBHM, IMU, ICTP.
National/International: International. Duration:
8/12/2003 To 13/12/2003
Details: ** **Talked on Hilbert coefficients and depth of form rings
and fiber cones.

**Ø **Title:
First Joint AMS-India Meeting - special session in commutative Algebra.

Organizer: J.K Verma, S.R.Ghorpade,
H.Srinivasan Sponsors: NBHM, Indian Academy of Sciences, Indian
National Science Academy
National/International: International. Duration:
17/12/2003 To 20/12/2003.

**Ø **Title: 5th National Conference on Commutative
Algebra and Algebraic Geometry
Organizer: S. Kumaresan,Ravi A. Rao, J. K. Verma.
Sponsors: NBHM, TIFR, Mumbai University.
National/International: National. Duration:
1/4/2003 To 5/4/2003

Ø Venue:
Institut de Mathmatiques de Luminy, Marseille, France

Title: Configuration spaces, Grassmannians and rings of invariants

National/International: International

Duration: June 2003

Ø Venue:
Universit degli Studi di Perugia, Perugia, Italy

Title: Enumeration of MDS codes with applications to algebraic geometry

National/International: International

Duration: June 2003

Ø Venue:
Christian-Alberchts Universit Kiel,
Kiel, Germany

Title: Error free transmission and algebraic geometry.

National/International: International

Duration: June 2003

Ø Venue:
Purdue University, West Lafayette, USA

Title: Geometry and Combinatorics of Schubert varieties and determinantal
varieties National/International:
International

Duration: January 2004

Ø Venue:
Department of Mathematics Colloquium, Purdue University, West Lafayette, USA

Title: Number of points of varieties over finite fields
National/International: International

Duration: February 2004

Ø Venue:
Georgia Institute of Technology, Atlanta, USA

Title: Grassmannians and codes
National/International:
International

Duration: March 2004

Ø Venue:
Pennsylvania State University, State College, USA

Title: Some inequalities for the number of points of varieties over finite
fields National/International: International

Duration: March 2004

Ø Venue:
R.D. National College, Bandra, Mumbai

Title: Numbers and functions

National/International: national

Duration: July 2003

Ø Venue:
Indian Institute of Science, Bangalore

Title: Combinatorial and computational aspects of Hilbert functions and Cohen
Macaulayness
National/International: national

Duration: December 2003

Ø Venue:
The Australian National University, Canberra, Australia

Title: A New Projection Method for Eigenvalue Problems and Operator Equations
National/International: International

Duration: June 23^{rd} , 2003

Ø Venue:
Department of Mathematics, University of waikato, Waikato, New Zealand

Title: Iterative Computation of Eigenelements
National/International: International

Duration: July 24^{th} , 2003.

Ø Venue:
SPJain Institute of Management Research, Mumbai, India

Title: Statistical and artificial intelligence datamining techniques and their
applications in finance
National/International:
National

Duration: May/June , 2003.

Ø Venue:
Reserve Bank of India Staff College, Chennai

Title: Regression analysis and related econometric techniques.
National/International: National

Duration: February, 2003.

Ø Venue:
Technical University, Dresden.
Title: (I) On some mixed finite element methods for fourth order
elliptic problems. (II) A mixed finite element method for fourth
order elliptic source/eigenvalue.
National/International:
International

Duration: October 22^{nd} To November 7^{th} , 2003.

Ø Venue: Dr. Baba Saheb Ambedkar
Technological University, Lonere. Title:
Finite Element Methods. National/International:
National

Duration: November 2003.

Ø Venue: Department of Mathematics,
California state University Title:
Strong Uniqueness of best simultaneous approximation with bounded
constraints
National/International: International

Duration: May 2003.

Ø Venue:
Ravenshwa College, Cuttack.

Title: Financial Mathematics and Its Prospects
National/International: National

Duration: February 9^{th} ,
2004.

Ø Venue:
Department of Applied Mathematics, MS University, Baroda.

Title: Scientific Computing: Linear Solvers
National/International: National

Duration: December 2^{nd} , 2003

Ø Venue:
Department of Mathematics, University of Mumbai
Title: Option Derivatives in Financial Market National/International:
National

Duration: February 16^{th} , 2003.

Ø Venue:
Institute of Physics, Bhubaneswar

Title: A Quick Tour to the Theory of Distributions
National/International: National

Duration: February 10^{th} , 2004.

Ø Venue:
Institute of Physics, Bhubaneswar

Title: Basic Ingredients of Sobolev Spaces
National/International: National

Duration: February 11^{th} , 2004.

Ø Venue:
Pune University
Title: Local Cohomology
National/International: National

Duration: July 7^{th } To 12^{th} , 2003

Ø Venue:
Dept of Mathematics, IIT Bombay
Title: Sample Size Methodology
National/International: National

Duration: October 11^{th } To 16^{th} , 2003.

Ø Venue: Ahmednagar

Title: Case studies in Industrial Statistics
National/International: National

Duration: 29th October-18th November, 2003

Ø Venue:
Dept. of Mathematics University of Mumbai, Kalina, Mumbai

Title: Theory of Martingales
National/International: National

Duration: 16th February-10th March, 2004.

Ø Venue:
Conceicao Rodrigues College of Engineering.

Title: Statistical Techniques for Pattern Recognition.
National/International: National

Duration: 16th February-20th March, 2004.

Ø Venue:
Dept. of Mathematics, B.H.U, Varanasi

Title: On Quasilinear hyperbolic
equations/systems of PDE’s.
National/International: National

Duration: June, 2003.

Ø Venue:
IISc, Bangalore
Details: International conference on Non-Linear phenomenon of waves National/International:
International

Duration: 5^{th} January, 2004.
Title: On resonantly
interacting waves.

Ø Venue:
Dr. B.R Ambedkar University, Agra.
Details: National conference on Information Technology, Operations
research and Computing
National/International: National

Duration: 10^{th} April, 2004.
Title: Quasilinear
hyperbolic system and associated wave phenomenon.

Ø Venue:
Bangalore

Title: Topology of Matrix Varieties
National/International: International

Duration: December 19^{th} , 2003.

Ø Venue:
Dept of Stat.-Math. ISI Kolkatta.

Title: Matrix Varieties
National/International: National

Duration: June 6^{th} , 2003.

Ø Venue:
Deparement of Mathematics, IIT Guhawati
Title: An Invitation to Polyhedral Topology
National/International: National

Duration:October 1^{st} , 2004.

Ø Venue:
Department of Mathematics, N.E. H. U. Shilllong

Title: Neighborhood Complexes and Chromatic Numbers
National/International: National

Duration: October 3^{rd} , 2003.

Ø Venue:
Department of Mathematics,University of Pune, Pune.

Title: Introduction to Combinatorial Reciprocity
National/International: National

Duration: July 7^{th} To 12^{th} , 2003.

Ø Venue:
Department of Mathematics, University of Mumbai

Title: Cox, Ross, and Rubinstein Model
National/International: National

Duration: February 23^{rd} To 24^{th} , 2004.

**Ø **Venue:
Department of Mathematics, Dr. Babasahab Ambedkar Technological University,
Lonere.

Title: Z-Transforms National/International:
National

Duration: November 23^{rd} To 24^{th} , 2003

Ø Venue:
Department of Mathematics, IIT Bombay

Title: Introduction to Probability National/International:
National

Duration: October 11^{th} To 16^{th} , 2003

**Swaminathan V.**

**Ø **Venue: Department of Mathematics, University of
Mumbai
Title: Time Series Models in Finance
National/International: National

Duration: February 25^{th} To 26^{th} , 2004

Ø Venue:
Department of Mathematics, IIT Bombay

Title: Introduction to Statistical Inference National/International: National

Duration: October 11^{th} To 16^{th} , 2003

**Ø **Venue:
Harish-Chandra Research Institute, Allahabad
Title: Hilbert coefficients and depth of form rings and fiber cones National/International: International

Duration: December 12^{th} ,
2003

**Ø **Venue:
Indian Institute of Technology Bombay
Title: Isometries of Eucildean spaces National/International:
National

Duration: October 11^{th} To 16^{th} , 2003.

**Ø **Venue:
Pune University
Title: Stanley’s solution of the Anand-Dumir-Gupta Conjecture
National/International: National

Duration: July 7^{th} To 12^{th} , 2003.

**Ø **Venue:
Harish-Chandra Research Institute, Allahabad
Title: Invariant rings of finite groups
National/International: National

Duration: January 8^{th} To 11^{th} , 2003.

**Ø **Venue:
Homi Bhabha Centre for Science Education, TIFR, Mumbai Title: Regular
Polyhedra and Euclid\sq s Last Proposition National/International:
National

Duration: July 15^{th} , 2003.

**Ø **Venue:
Tata Institute of Fundamental Research, Mumbai
Title: Euclid’ s last proposition National/International:
National

Duration: September 28^{th} ,
2003.

**Ghorpade S.R**

Member, Council of Editors,
Resonance [ A Journal of Science Education

published by the Indian Academy of Sciences, Bangalore], 2003 onwards.

Co-opted Member, Board of
Studies in Mathematics, University of Mumbai

[2000-2005], Universtiy of Pune [2001-2006], and Shivaji University,

Kolhapur [2002-2005].

Invited participant in the
Discussion Meeting about the formation of a

virtual Indo-French Institute of Mathematics (supported by the CNRS

and the Ministry of Research in France and the DST and NBHM in India),

Embassy of France in India, New Delhi, February 2004.

**Joshi R.R.**

Reviewer/Referee for papers submitted to the International Journals V (i) Biosilico (ii) Jnl. of Mol. Model.

External examiner for one Ph.D thesis from Pune University.

Member of the International Steering Committee of IMSE-2004 (the Eighth International Conference on Integral Methods in Science and Engineering being held at the University of Central Florida, Orlando, Florida in August, 2004.

Examined Ph. D. Thesis and took the VIVA Voce examination of one thesis from IISC Bangalore and one from Berhampur University.

Editorial job for DEDS journal.

UGC External Member.

Referred a Ph.D thesis.

Refereed papers for Calcolo and Journal of Sound and Vibration.

Worked as a member, PAC-MS, SERC, DST, Government of India

Worked as a referee for the work of rating of a faculty member for the National Research Council of South Africa

Refereed several research projects for DST, Govt. of India.

Evaluation Ph. D. Thesis from IISC Bangalore and one from Berhampur University and editorial job for DEDS Journal.

Refereed papers for the journals: Numer. Meth. PDE, IMA J. Numer. Anal., SIAM J. Numer Anal.

Director of UNESCO sponsored National Workshop on Industrial Mathematics and Co-ordinator of WORM-03.

Referee for Maths of OR.

Referee for “VLSI Design”

Reviewer for Zentral hlatt for Mathematik.

Referee for Proceeding Institition of Mechanical Engineers (U.K)

Referee for Transactions of ASME (USA).

**Sabnis S.V.**

Reviewed 2 conference papers.

Examined a Ph.D Thesis from Shivaji University.

Served as a member of the Selection committee for faculty recruitments at IIT Delhi, IGNOU (New-Delhi), NEHU (Shillong) and South Gujarat University (Surat).

Examined the Ph.D Thesis for BHU, Agra University and University of Kerala.

Reviewer for Mathematical Reviews (USA) and Zentralblatt MATH (Germany).

**Shastri A.R.**

Reviewed 8 papers for Math. Review.

Refereed two papers for international journals

Refereed a book for TRIM series.

**Srinivasan M.K.**

Referee for 1 Doctoral Thesis (University of Mumbai).

Referee for 2 Papers in International Journals.

**Subramanyam A.**

Refereed 1 Doctoral Thesis (Mumbai University).

**Vellaisamy P.**

Served as a subject expert for
faculty selection in the department of

statistics, University of Pune.

Evaluated a PhD thesis from (i) Osmania University (ii) B.H.U. Varnasi.

**Verma J.K.**

Refreed papers for Journal of Algebra, Communications in Algebra, Proceedings of Lisbon (Spain) conference in Commutative Algebra.

Member, Mathematics Nurture Programme Committee of NBHM.

Secretary, Advanced Training in Mathematics Schools, supported by NBHM.

Project Title: Testing and calibration of ANN module of XLMiner datamining software.

Sponsoring Agency: Quantlink Solutions, Cytel
Corporation
Amount
generated: 54,000

Beginning Year: 2003

End Year: 2003

Project Title: Preparing software implementation document and guidance to XLMiner team for implementation of SOM

Sponsoring Agency: Quantlink Solutions, Cytel Corporation
Amount
generated: 54,000

Beginning Year: 2003

End Year: 2004

Project Title: Technical description and classification of packet shaper 1500.

Sponsoring Agency: Teledatacom

Amount generated: 5000/-

Beginning Year: 2003

End Year: 2003

Project Title: Analysis a resource allocation problem

Sponsoring Agency: Det Norsk Veritas

Amount generated: 25000/-

Beginning Year: 2003

End Year: 2003

**Sabnis S.V.**

Project Title: Statistical Analysis of Entrance Test Data

Sponsoring Agency: Dr.
D.Y. Patil Vidyapeeth, New Mumbai

Amount generated: 9701/-

Beginning Year: 2003

End Year: 2003

Project Title: Time Seires modelling of Inventory Data.

Sponsoring Agency: Tata Infotech

Amount generated: 54648/-

Beginning Year: 2003

End Year: 2003

**Ghorpade S.R.**

Title: Configuration spaces for
point-sets and torus actions on Grassmannians Organizer: IIT Bombay

National/International: National

Duration: April 2003

Details: 5th National Meeting on Commutative Algebra and Algebraic Geometry.

Title: Mini Workshop on Curves
over Finite Fields
Organizer: University of Mumbai

National/International: National

Duration: July, 2003

Details:. Zeta functions of curves over finite fields, a series of two lectures.

Title: Workshop and Seminar on
Optimization and Risk Modelling (WORM-03)
Organizer: IIT Bombay
National/International: International

Duration: 18^{th} To 22^{nd}
December
Details: Part of the Organizing Committee of WORM-03.

**Pani A.K.**

Title: National Workshop on
Wavelet Theory and Applications Organizer:
Institute of Mathematics and Applications, Bhubaneswar National/International: National

Duration: 7^{th} To 11^{th} February

Title: Higher Order Methods for
nonlinear hyperbolic equations
Organizer: Isaac Newton Institute for Mathematical Sciences at Cambridge
National/International: International

Duration: 26^{th} To 30^{th}
May Details:
This was a part on half year long programme on Computational Challenges in
Partial Differential Equations during 20 January to 4 July 2003 which was
organised by M Ainsworth (Strathclyde), CM Elliott (Sussex), E Sli (Oxford) the
Isaac Newton Institute for Mathematical Sciences at Cambridge.

Title: WEBOPT project
Organizer: CARISMA at Brunel
University (UK)
National/International: International

Duration: 3^{rd} To 5^{th} June
Details: Participated in the inaugural meeting and the workshop from
June

in Brunel University (UK) under the WEBOPT project jointly

with Industrial Mathematics Group at IITB, Jadavpur University

(Kolkata), CARISMA at Brunel University (UK)

and Vienna University (Austria).

Title: 11th Oxford and
Cambridge Applied Mathematics Meeting . Organizer:
Oxford Center for Industrial and Applied Mathematics, Oxford University
National/International: International

Duration: 19^{th} June,
2003
Details: Participted in the 11th Oxford and Cambridge Applied
Mathematics

Meeting held at Mathematical Institute in the Oxford University.

Title: Symposium on Mathematics
Education in Primary and Secondary Schools of Orissa
Organizer: A.K Pani National/International:
National

Duration: 8^{th} February, 2004
Details: Participated
and gave a general talk on secondary education in the Symposium on Mathematics
Education in Primary and Secondary
Schools of Orissa.

Title: Workshop and Seminar on Optimization and
Risk Modelling (WORM-03)
Organizer: Industrial Mathematics Group, Dept. of Mathematics, IIT
Bombay National/International: International

Duration: 18^{th} To 22^{nd } December.
Details: Part of the Organizing Committee of
WORM-03.

Title: 9^{th} Workshop in Mathematics
Organizer: Dept. of Mathematics,
IIT Bombay National/International: International

Duration: 11^{th} To 16^{nd } October.
Details: Organized the
Workshop.

Title: Workshop and Seminar on Optimization and
Risk Modelling (WORM-03)
Organizer: Industrial Mathematics Group, Dept. of Mathematics, IIT
Bombay National/International: International

Duration: 18^{th} To 22^{nd } December.
Details: Part of the Organizing
Committee of WORM-03.

**Verma J.K**

Title: Workshop in Arithmetic Geometry
Organizer: Harish-Chandra
Research Institute, Allahabad
National/International: National

Duration:23^{rd} To 1^{st} January.
Details: Member of the
Organizing Committee.

Title: Workshop in Mathematics
Organizer: Dept. of Mathematics, IIT Bombay
National/International: National

Duration: 1 week.
Details: Delivered 4 lectures on
Isometries of Euclidean Spaces. ** **

Title: Workshop in Combinatorics and Commutative
Algebra Organizer: University of
Pune
National/International: National

Duration: 7^{th} To 11^{th} July
Details: Member of the Organizing Committee which was
supported by DST.

Professor Sankar Prasad Mishra Memorial Lecture on How to Compute a Fair Price for an Option Derivative in Financial Market : A Case Study and Its Mathematical Implications in the 31st OMS Conference held in the Institute of Physics, Bhubaneswar during 7th to 8th February 04.

Member of the Editorial Board of Differential Equations and Dynamical Systems (DEDS) : An International Journal for Theory and Applications and International Journal of Numerical Analysis and Modelling.

Chaired a session in the eleventh conference on the Mathematics of Finite Elements and Applications (MAFELAP) held at Brunel University during 21 -24 June, 2003.

**Sharma
V.D**

Recipient of Best Teacher Award for Excellence in Teaching for the year 2003, awarded by IIT Bombay.

Appointed as a Member of the National Committee on Scientific matters related with International council of scientific union (ICSU), International union of Theoritical and Applied Mechanics and International Mathematical union by the Indian National Science Academy (INSA), New Delhi.

Member of the Advisory Committee for the Centre for Advanced Studies (CAS), in Fluid mechanics, Dept. of Mathematics, Bangalore University, Bangalore.

**STATISTICAL
INFORMATION OF DEPARTMENT**

**Student
Intake:**

M.Sc - 35

Ph.D - 6

**Degrees
Awarded:**

M.Sc - 41

Ph.D - 5

**Sponsored
Projects:**

Ongoing Projects (No.) - 13

Faculty Involved - 10

**Consultancy:**

No. of Faculty involved - 3

Income generated - more than 2 lakhs

**Faculty /
Scientific staff publications:**

Books/ Chapter in Book - 2

Papers in Int ernational Journals - 23

Papers in National Journals - 2

Papers in Proceedings - 8

**Faculty
Participation in Conferences/ Workshops/ Seminars:**

International Conference/ Workshops (abroad) - 7

International Conference/ Workshops (in India) - 9

National - 17