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INDIAN STATISTICAL INSTITUTE STAT-MATH UNIT, KOLKATA EIGHTIETH ANNUAL REPORT (APRIL 2011 - MARCH 2012) 1. TEACHING AND TRAINING 1.1 Degree and Training Courses 1.2 Ph.D/D.Sc. Degrees The following is the list of PhD degree awardees from Stat-Math Unit-Kolkata, along with the titles of their thesis: 1. Subhra Sankar Dhar : “A Study of Some Statistical Procedures Based on Median and Other Quantiles” 2. Abhijit Pal : “Cannon-Thurston maps and Relative Hyperbolicity” 3. Tanmoy Paul : “Ball Remotality in Banach spaces and related topics” 4. Koushik Saha : “Spectral Properties of Large Dimensional random Circulant Matrices” 5. Debasis Sen : “Simplicial Bredon-Illman Cohomology with local coefficients” 6. Biswarup Das : “Quantum Stochastic Flows: Trotter Product formula, Dilations and Quantum Brownian motion” 7. Rajat Subhra Hazra : “Essays on Regular Variations in classical and free setup: randomly weighted sums, products in CEVM and free subexponentiality” 8. Soumen Sarkar : “Some aspects in Toric topology” 9. Neena Gupta : “Some results on Laurent polynomial fibrations and quasi A* algebras” 2. CONVOCATION 3. RESEARCH AND OTHER SCIENTIFIC ACTIVITIES MATHEMATICS and STATISTICS Cryptography: We continue with our work on Attribute Based Encryptions(ABE)..We proposed efficient fully secure Attribute-Based Encryption Schemes for General Access Structures. We have obtained Ciphertext Policy(CP) and Key Policy(KP) encryption schemes for monotone access structures whose ciphertext size or key size depends only on the number of minimal sets. We have also obtained a CP-ABE scheme with constant size key and a Hierarchical (H) KP-ABE scheme with constant size ciphertext for arbitrary access structures (not necessarily monotone. (Rana Barua and Tapas Pandit) Continuing with our study of signature and signcryption schemes, we have proposed a variant of Ring Signature which we called Ring Signature with designated Identity Verifier. We show that it has all the desired security properties. (Rana Barua with Sumit Pandey) Non-Commutative Geometry: We continue our research on quantum isometry groups. It has been proved that there does not exist any genuine quantum group isometry of a classical compact manifold which is stably parallelizable. (Debashish Goswami, Soumalya Joardar and Biswarup Das) Some new results are proved towards the existence of a universal object in the category of compact quantum groups acting isometrically and in a measure-preserving way on certain class of metric measure spaces. (Debashish Goswami) Commutative Algebra: A general structure theorem for locally Laurent polynomial algebras has been established. It has been shown that any faithfully flat algebra over a Noetherian normal domain R, whose generic and codimension-one fibres are Laurent polynomial algebras in n variables over R, is a locally Laurent polynomial algebra in n variables over R. A minimal sufficient condition for a faithfully flat algebra over an arbitrary Noetherian domain to be locally Laurent polynomial has been obtained. (S. M. Bhatwadekar and Neena Gupta) The structure and properties of a faithfully flat algebra over a Noetherian normal domain whose generic and codimension one fibres are A** is being investigated. (Neena Gupta) An example has been constructed which shows that when R is a two dimensional complete regular local ring with an algebraically closed residue field and A is a Noetherian normal Rsubalgebra of R[X] then A need not be finitely generated over R. Sufficient conditions for A to be finitely generated have been given. Conditions for A to be Noetherian are being investigated. (Neena Gupta and N. Onoda) If A is an An fibration over a regular local ring R, then, by a result of Asanuma, A is stably isomorphic to the polynomial algebra R^[n], i.e., A[m] is isomorphic to R[n+m] for some non negative integer m. There are examples where m need not be zero. A minimal lower bound for this integer m is being investigated. (T. Asanuma and Neena Gupta) Broad area of my research is "Projective Modules and Complete Intersections". I have been focusing on problems related to the Euler class group. Two papers published in the year 2011-12 involve exploring the relation between the Euler class group of a ring and that of its polynomial extension. (Mrinal Kanti Das) Differential Topology: The notion of double structures were introduced in the theory of Lie groupoids and Lie algebroids by K. Mackenzie. Double structures appear in connection with Poisson Geometry, namely in the context of Poisson groupoids. We have observed that similar double structures also arise in the context of Jacobi groupoids and Jacobi vector bundles. We also observe that the Poissonisation functor can be extended to double structures. The work has been done in collaboration with Neeta Pandey. (Mahuya Datta) Operator Theory: Currently I am studying representation theory of planar algebras, a pictorial invariant for subfactors. We have proved a conjecture of Kevin Walker and Vaughan Jones relating affine representations of subfactor planar algebras to the Drinfeld center of a bimodule category coming from the subfactor. (Paramita Das) Probability Theory Information economics. Moral hazard problems and incentives. Spectral inference. Spectral properties of large dimensional random matrices. (Arup Bose) Statistics Growth curve model, Applications of Statistics to Industrial quality control, Physics, Sociology, Agriculture, Education, Fluid mechanics and other natural sciences. Rates of convergence in Central Limit Theorem (CLT), Law of iterated logarithms (LIL) and Characterization theorems. (Ratan Dasgupta) 4. INTERNALLY/EXTERNALLY FUNDED PROJECTS 4.1 Internal Funded Projects (completed) Sl. No. 1 2 3 Name of the Project Principal Investigators Unit involved Young Visitors Program Growth Curve Estimation Lecture on Probability and Stochastic Processes VI Dr. Mrinal Kanti Das Prof. Ratan Dasgupta Dr. Krishanu Maulik Stat-Math Unit Stat-Math Unit Stat-Math Unit 4. Externally Funded Projects (ongoing) Sl. No. 1 2 3 4 Name of the project A/c. No. Non Commutative Geometry groups and non-Commutative probability J.C.Bose Fellowship 248 Harmonic Analysis on Riemannian Symmetric spaces Damek-Ricci spaces Homogenous Tress Atiyah-Singer index Theorem and Gauge-Theoretic physics 203A Principal Investigators Dr. Debashish Goswami Unit involved Funded by Stat-Math Unit DST Prof. Arup Bose Stat-Math Unit Stat-Math Unit DST Prof. Rudra P. Sarkar/Swagato Ray Amiya Mukherjee Stat-Math Unit NBHM DST 5. CONFERENCES, SYMPOSIA, WORKSHOPS, LECTURES & SEMINARS (organised by the institute) 5.1 Symposia and Conferences Lectures on Probability and Stochastic Processes VI, 16-20 Dec 2011, ISI, Kolkata Twelfth Discussion Meeting on Harmonic Analysis. December 27--29, 2011, Stat.-Math. Unit, ISI, Kolkata. Seminar on Random Matrices, Stat.-Math. Unit, Indian Statistical Institute, Kolkata, India, July 21--22, 2011. Seminar supported by J.C. Bose Fellowship of Arup Bose. 5.2 Workshops and Training Programmes 5.3 ATML on Calculus and Geometry (funded by NBHM), November 28- December 10, 2011, ISI Kolkata. Lectures and Seminars 1. R.V. Gurjar, School of Malthematics, TIFR(02.05.2011): Finite groups generated by pseudo-reflections. 2. R.V. Gurjar, School of Malthematics, TIFR(03.05.2011): A survey of Affine Algebraic Geometry. 3. R.V. Gurjar, School of Malthematics, TIFR(04.05.2011): Some open problem in Affine Geometry. 4. A.R. Shastri, Department of Mlathematics, IIT, Mumbai(03.05.2011): Polynomial Representation of knots. 5. Debashish Bose, IMSc., Chennai(16.05.2011): Structure of spectral pairs in 1-Dimension. 6. Ratan Dasgupta, ISI, SMU, Kolkata(23.05.2011): Non uniform Rates of Convergence to Normality for Two sample U-statistics in Non IID Case with Applications. 7. Indranil Sengupta, University of Texas – E1 paso(30.05.2011): Analysis of integrodifferential parabolic problems arising in the L\’ {e}vy Market. 8. Soumya Das, TIFR, Mumbai(13.06.2011): Nonvanishing of Siegel Poincare series. 9. Soumya Das, TIFR, Mumbai(13.06.2011): Nonvanishing of Siegel Poincare series. 10. Ratan Dasgupta, ISI, SMU, Kolkata(14.06.2011): Optimal-Time Harvest of Elephant Foot Yam and Related Theoretical lIssues 11. Mainak Poddar, ISI, SMU, Kolkata(15.06.2011): Lagrangian Floer cohomology for orbifolds. 12. Shanta Laishram, ISI, Delhi(22.06.2011): Grimm’s Conjecture and Smooth numbers. 13. Ratan Dasgupta, ISI, SMU, Kolkata(23.06.2011): Some Observations on Yam Growth Model and Above-ground Biomass as a Possible Predictor. 14. Antar Bandyopadhyay, ISI, SMU, Kolkata, Delhi(04.07.2011): On the Expected Total Number of Infections for Virus Spread on a Finite Network. 15. Koushik Pal, University of California, Berkeley(06.07.2011): Model Theory and a few Applications. 16. Debleena Thacker, ISI, SMU, Delhi(15.07.2011): Urn Models on One-dimensional Integer Lattice. 17. Holger Brenner, Universitat Osnabruck, Germany(15.07.2011): Vector Bundles and Torsors. 18. Holger Brenner, Universitat Osnabruck, Germany(16.07.2011): Vector Bundles and Torsors. 19. Holger Brenner, Universitat Osnabruck, Germany(18.07.2011): Vector Bundles and Torsors. 20. Holger Brenner, Universitat Osnabruck, Germany(19.07.2011): Vector Bundles and Torsors. 21. Kalyan B. Sinha, JNCASR, Bangalore(25.07.2011): Representations of Canonical Commutation Relations (CCR) and Quantum Field Theory. 22. Kalyan B. Sinha, JNCASR, Bangalore(26.07.2011): Representations of Canonical Commutation Relations (CCR) and Quantum Field Theory. 23. Kalyan B. Sinha, JNCASR, Bangalore(27.07.2011): Representations of Canonical Commutation Relations (CCR) and Quantum Field Theory. 24. Clare D’ Cruz, Chennai Mathematical Institute(01.08.2011): On the Hilbert polynomial of a complete ideal in a regular local ring. 25. Partha Sarathi Dey, Courant Institute of Mathematical Sciences(02.08.2011): Multiple phase transitions for long-range first-passage percolation on lattices. 26. Jyotirmoy Sarkar, Indiana University Purdue University Indianapolis(05.08.2011): Limiting performance of a One-unit System under Varilous Repair Models. 27. Biman Chakraborty, School of Mathematics, University of Birmingham, Edgbaston(08.08.2011): Statistical Inference Based on Multivariate Ranks. 28. Goutam Pal, RCC Institute of Information Technology, Kolkata(16.08.2011) Elementary proof of Dirichlet’s theorem on primes in arithmetic progressions. 29. Goutam Pal, RCC Institute of Information Technology, Kolkata(18.08.2011) Elementary proof of Dirichlet’s theorem on primes in arithmetic progressions. 30. Moulinath Banerjee, University of Michigan, Ann Arbor(22.08.2011): Threshold Estimation via the use of P-values as a Discrepancy Criterion. 31. Goutam Pal, RCC Institute of Information Technology, Kolkata(18.08.2011): On A Conjecture of Erdos. 32. Ratan Dasgupta, ISI, SMU, Kolkata(29.08.2011): Some Results on Extrernal Processes based on Stationary sequence and its Applications. 33. Goutam Pal, RCC Institute of Information Technology, Kolkata(23.08.2011) Elementary proof of the Prime Number Theorem. 34. Goutam Pal, RCC Institute of Information Technology, Kolkata(25.08.2011) Elementary proof of the Prime Number Theorem. 35. Pradipto Banerjee, ISI, SMU, Kolkata(12.09.2011): On the distance of a polynomial from an irreducible polynomial. 36. Debashis Mondal, University of Chicago(01.09.2011): Wavelet variance analysis for gappy time series data. 37. S.M. Srivastava, ISI, SMU, Kolkata(19.09.2011): some Results on Transition Probabilities. 38. A. Sitaram, IISc., Bangalore(16.09.2011): On rudra Sarlar’s analogue of the WienerTauberian Theorem on symmetric space. 39. Parthanil Roy, ISI, SMU, Kolkata(26.09.2011): Ergodic Properties of Fractional Poisson Fields. 40. Sourav Das, Visiting Post Doc, SMU(28.09.2011): Introduction to Spatial Data and Variogram Estimation. 41. Shibananda Biswas, Dept. of Mathematics, Ben Gurion University of the Negev, Israel(17.10.2011): Geometric invariants for certain class of semi-Fredholm Hilbert modules. 42. V. Balaji, Chennai Mathematical Institute(21.10.2011): Parabolic bundles and parahoric bundles. 43. Alok Maharana(21.10.2011): Acyclic Varieties. 44. Soumya Das, TIFR(27.10.2011): Differential operators on Modular forms. 45. Mousumi Mandal, TIFR, Mumbai(21.11.2011): Normal Hilbert polynomial. 46. Paramita Das, ISI, SMU, Kolkata(28.11.2011): Planar algebras and subfactors. 47. Arijit Chakraborty, ISI, SMU, Delhi(08.12.2011): Group Theoretic Dimension of Stationary Symmetric Stable Random Fields. 48. Mainak Poddar, ISI, SMU, Kolkata(14.12.2011): A class of torus manifolds with nonconvex orbit space. 49. A.R. Shastri, IIT, Bombay(13.12.2011): A Linear Algebra Approach to the Fundamental Theorem of Algebra. 50. Nobuharu Onoda, University of Fukui, Japan(20.12.2011): Some results on lfinite generation of algebras. 51. Nobuharu Onoda, University of Fukui, Japan(22.12.2011): Some results on Polynomial fibrations over two-Demensional Noetherian normal domains. 52. K.B. Sinha, JNCASR, Bangalore(29.12.2011): Koplienko formula. 53. Roman Holowinsky, Ohio State University, USA(30.12.2011): Equidistribution Problems and L-Functions. 54. G.B. Folland, University of Washington(02.01.2012): Some representations of the discrete Heisenberg group. 55. G.B. Folland, University of Washington(04.01.2012): Some representations of the discrete Heisenberg group. 56. G.B. Folland, University of Washington(06.01.2012): Some representations of the discrete Heisenberg group. 57. Subhrashekhar Ghosh, Dept. of Mathematics, University of California, Berkeley(09.01.2012): What does a Point Process Outside a Domain tell us about What’s Inside? 58. Jyotishman Bhowmick, Dept. of Mathematics, University of Oslo, Blindern, Oslo, Norway(09.01.2012): Quantum group of unitaries and quantum gauge group. 59. Ivan Mizera, University of Alberta(16.01.2012): Quantile Tomography: Using Quantiles with Directional Datta. 60. Ivan Mizera, University of Alberta(18.01.2012): The Discreet Charm of Convex Optimization: From Shape Constrained Density Estimation to Empirical Bayes Decision Rules. 61. Bikramjit Das, RiskLab and Dept. of Mathematics, ETH Zurich(23.01.2012): Seeking hidden risks with multivariate regular variation. 62. Ivan Mizera, University of Alberta(24.01.2012): Tractatus Elastico-Plasticus: Mechanical Models in Nonparametric Regression. 63. Krishna B. Athreya, Iowa State University(08.02.2012): Coalescence in Galton Watson trees. 64. Tom Farrell, SUNY Binghamton(10.02.2012): The failure of smooth rigidity and the best of all possible maps. 65. Geogre Michailidis, University of Michigan(23.02.2012): Joint Estimation of Multiple Graphical Models. 66. Ratan Dasgupta, ISI, Stat-Math Unit, Kolkata(22.03.2012): Optional choice of Small Regular Shapes. 6. PUBLICATIONS OF THE INSTITUTE 7. SCIENTIFIC PAPERS AND PUBLICATIONS 7.1 Books Published 7. Papers published in journals: Banerjee, Sayan and Bose, Arup: Noncrossing partitions, Catalan words and the semicircle law. Journal of Theoretical Probability, Online First May 20, 2011. DOI: 10.1007/s10959-011-0365-4, 2011. To appear in print. Barua,,Rana, Chakravarty, Satya, R. and Sarkar, Palash: MEASURING P-POWER OF VOTING, Journal of Economic Theory and Social Development, Volume 1, Number 1, pp. 81–91, 2011 Bhatwadekar, S.M. and Gupta, Neena: On locally quasi A* algebras in codimension-one over a Noetherian normal domain, Journal of Pure and Applied Algebra, 215, 2242—2256, 2011. Bhatwadekar, S.M. and Gupta, Neena: The structure of a Laurent polynomial fibration in n variables, Journal of Algebra, 353, 42—157, 2012. Bhowmick, Jyotishman and Goswami, Debashish: Adam Skalski: Quantum isometry groups of 0dimensional manifolds, Tran. AMS vol 363, no. 2, 901-9212011. Basak, Anirban and Bose, Arup: Limiting spectral distribution of some band matrices. Periodica Mathematica Hungarica, 43, 1, 113--150. DOI: 10.1007/s10998-011-7113-5, 2011. Bose, Arup and Gangopadhyay, Sreela: Asymptotic properties of near Pfeifer records. Extremes, 14, 253--265. DOI: 10.1007/s10687-010-0108-4, 2011. Bose, Arup; Guha, Suman; Hazra, Rajat Subhra and Saha, Koushik: Circulant type matrices with heavy tailed entries. Statistics and Probability Letters, 81, 1706—1716, 2011. Bose, Arup; Hazra, Rajat Subhra and Saha, Koushik: Extremum of Circulant type matrices: a survey. Journal of Indian Statistical Association, 50, No. 1--2. To appear. (accepted 2011). Bose, Arup; Hazra, Rajat Subhra and Saha, Koushik: Poisson convergence of eigenvalues of circulant type matrices. Extremes. Volume 14, Number 4, 365-392, DOI:10.1007/s10687-0100115-5, 2011. Bose, Arup; Hazra, Rajat Subhra and Saha, Koushik: Half independence and half cumulants. Electronic Communications in Probability, 16, paper No. 37, 405—422, 2011. Bose, Arup; Hazra, Rajat Subhra and Saha, Koushik: Convergence of joint moments for independent random patterned matrices. Annals of Probability, 39, 4, 1607--1620. DOI:10.1214/10-AOP597, 2011. Bose, Arup and Sen, Sanchayan: Finite diagonal random matrices. Journal of Theoretical Probability. Online First, September 10, 2011. DOI:10.1007/s10959-011-0378-z, 2011. To appear in print. Das, Prosenjit and Dutta, Amartya, Kumar: On Codimension-one A1-fibration with retraction. Appeared in: Journal of Commutative Algebra, 3, Number 2, 207—224, 2011. Das, Prosenjit and Dutta, Amartya, Kumar: Planes of the form b(X,Y) Z n-a (X,Y) over a DVR. Appeared in: Journal of Commutative Algebra, 3, Number 4, 491—509, 2011. Das, Mrinal, Kanti and Sridharan, Raja: Euler class groups and a theorem of Roitman Journal of Pure and Applied Algebra, vol. 215, pp 1340-1347, 2011. Das, Mrinal, Kanti: Revisiting Nori's question and homotopy invariance of Euler class groups, Journal of K-theory, vol 8, pp 451-480, 2011. Pandey, Sumit and Barua, Rana: Efficient Construction of Identity Based Signcryption Schemes from ID Based Encryption and Signature Schemes, Journal of Internet Services and Information, 1(2/3) 161-180, August 2011. Das, Biswarup, Goswami, Debashish and Joardar, Soumalya: Quantum Brownian motions on noncommutative manifolds: construction, deformation and exit times, Commun. Math. Phys. vol. 309, 193-228, 2012. Dasgupta, R.: On the distribution of burr with applications. Sankhya B, (May 2011) 73, 1–19, Springer DOI: 10.1007/s13571-011-0015-y, 2011. Datta, Mahuya: Partial Isometries of a Sub-Riemannian Manifold, International Journal of Mathematics Vol. 23, No. 2, 2012. Dhar, S. S. and Chaudhuri, P. :"On the statistical efficiency of robust estimators of multivariate location", Statistical Methodology, vol. 8, pp. 113-128, 2011. Dhar, S. and Chaudhuri, P.: "On the derivatives of trimmed mean". Statistica Sinica, vol. 22. pp. 655-679, 2012. Dutta, A.K., Gupta, Neena and Onoda, N.: Some Patching Results on Algebras over TwoDimensional Factorial Domains, Journal of Pure and Applied Algebra, 216, 1667—1679, 2012. Dutta, S. Ghosh, A. K. and Chaudhuri, P.: "Some intriguing properties of Tukey's half space depth", vol. 17, pp. 1420-1434, 2011. Goswami, Debashish: Some remarks on the action of quantum isometry groups, Aspects Math. E 41, Wieweg-Teubner, Wiesbaden, 96-103, 2011. 7.3 Papers published in Conference Proceedings : Dasgupta, R.: Discrete distributions with application to lifestyle data. International Conference on Productivity, Quality, Reliability, Optimization and Modeling Proceedings. Vol. 1, 502-520, Allied Publishers. New Delhi, (2011). 7.4 Papers published in books 8. VISITING SCIENTISTS Majumder, Satyaki, Department of Mathematical Sciences, The University of Texas at Dallas, U.S.A., July 01, 2010 to June 30, 2011. Singh, Rajesh, Pratap, IIT, Guwahati, July 20, 2010 to June 20, 2011. Sarkar, Swagata, ISI, Stat-Math Unit, Kolkata, August 01, 2010 to June 01, 2012. Sen, Suparna, Indian Institute of Science, Bangalore, January 01, 2011 to March 31, 2012. Ganguly, Satadal, TIFR, Mumbai, December 31, 2010 to December 31, 2011. Tanmoy Paul, ISI, Stat-Math, April 07-22, 2011. Debashish Bose, IMSc., Chennai, May 02, 2011 to May 21, 2011. Radhendushka Srivastava, ASU, ISI, May 23, 2011 to December 31, 2011. Soumya Das, TIFR, June 06, 2011 to June 19, 2011. Sanjay Chaudhuri, Dept. of Stat. and Appl. Prob., NUS, June 09, 2011 to June 24, 2011. Pradipta Banerjee, Institute of Mathematical Sciences, July 11, 2011 to August 31, 2012. Soumendra Lahiri, Texas A&M University, June 29, 2011 to July 23, 2011. Koushik Pal, University of California, Berkeley, June 26, 2011 to July 09, 2011. K.B. Sinha, JNCASR, Bangalore, July 17, 2011 to July 28, 2011. Holger Brenner, University of Osnabruck, July 13, 2011 to July 20, 2011 T.E.S. Raghavan, University of Illinois of Chicago, July 17, 2011 to July 24, 2011. Clare Dcruz, Chennai Mathematical Institute, July 20, 2011 to August 03, 2011. Jyotirmoy Sarkar, Indiana University Purdue University, July 25, 2011 to August 05, 2011. Pratyoosh Kumar, IIT, Kanpur, August 08, 2011 to July 08, 2012. Amiya Mukherjee, SMU, Kolkata, December 01, 2011 to November 30, 2012. Goutam Pal, RCC Institute of International Technology, Kolkata, August 09, 2011 to September 09, 2011. Moulinath Banerjee, University of Michigan, August 11, 2011 to December 31, 2011. Biman Chakraborty, University of Birmingham, School of Mathematics, August 01, 2011 to August 21, 2011. Debasis Sen, SMU, Kolkata, September 01, 2011 to November 30, 2011. Shibananda Biswas, Bengurion University of the Negev, Isreal, August 29, 2011 to October 28, 2011. Alok Maharana, McGill University, Canada, October 10, 2011 to October 21, 2011 and January 16, 2012 to March 31, 2012. V. Balaji, Chennai Mathematical Institute, October 21, 2011 to October 23, 2011. Soumen Sarkar, SMU, Kolkata, November 01, 2011 to December 31, 2011. Alppesh Kumar Dhorajia, Dept. of Mathematics, IIT, Bombay, November 15, 2011 to May 15, 2012. Indranil Biswas, TIFR, Bombay, December 21, 2011 to December 26, 2011. Arijit Chakrabarti, ISI, Delhi, December 02, 2011 to December 31, 2011. Nobuharu Onoda, University of Fukui, December 18, 2011 to December 29, 2011. Gerald B. Folland, University of Washington, December 25, 2011 to January 09, 2012. Ivan Mizera, University of Alberta (Canada) and Dept. of Mathematical and Statistical Sciences, December 31, 2011 to January 31, 2012. Krishna B. Athreya, Iowa State University, AMES, IOWA, USA, January 24, 2012 to February 12, 2012. 9. HONOURS AND AWARDS 10. SCIENTIFIC ASSIGNMENTS 10.1 Editorship Bose, Arup: Associate editor of; Statistical Methodology; Indian Journal of Pure and Applied Mathematics; IMS Collection, Institute of Mathematical Statistics USA; Statistics and Probability Letters. Chaudhuri, P. Appointed an Editor of International Statistical Review. 10.2 Scientific Assignments/Academic Visits Abroad Bose, Arup: Visited Dept. of Statistics, University of Minnesota, USA, November 09-15, 2011 Visited Dept. of Economics, University of Cincinnati, USA, November 16--December 08, 2011. Visited Dept. of Economics, University of Cincinnati, USA, May 28--July 02, 2011. Visited USA, June 16-17, 2011. Discussant to two papers at the Fourth Annual Conference on Entrepreneurship and Innovation, Northwestern University, Chicago, USA, June 16-17, 2011. Coauthor presented our joint invited paper. Chaudhuri, P. Visited Institute of Statistical Science, Acdemia Sinica, Taiwan during Dec. 16-21, 2011 and delivered an invited lecture at Taipei Symposium 2011. Datta, Mahuya: Visited University of Sheffield, UK, May 15-25, 2011. Visited ICTP, Trieste, Italy in 25 May to 15 July 2011. Goswami, Debashis: Visited I.A.M., University of Bonn Germany, October 2011 (for a month). Dept. of Mathematics, Katholieke Universiteit, Leuven, Belgium, October 2011, for 2 days and delivered invited lectures. 10. Scientific Assignments/Academic Visits in India Barua, Rana Attended and chaired a session of INDOCRYPT 2011 at Chennai , December11-14, 2011. Visited CRRao AIMSCS, Hyderabad, during September 12-14, 2011. Gave a talk on Attribute Based Encryptions. Invited talk at ISI-CU Workshop on Cryptology, July 16-17, CU, Kolkata, Invited talk at ISI-JU Workshop on Many Facets of Cryptology, October 14-15, Jadavpur University. Bose, Arup: Visited Indian Institute of Science, October 18, 2011. Lectures delivered: Autocovariance Matrix. Visited Indian Institute of Ahmedabad, February 27--March 12, 2012. Lectures delivered: Extreme Screening Policies. Other assignments: Invited speaker at Economic Theory and Policy Conference, National Institute of Public Finance and Policy, New Delhi and Jawaharlal Nehru University, New Delhi, March 29-31, 2012. Lecured on Autocovaraince Matrix. Invited speaker at National Seminar on Econometrics and Development Statistics, Department of Statistics, University of Calcutta, Kolkata, India, February 9--10, 2012. Lecured on Autocovaraince Matrix. Invited speaker at the conference on Random Matrix Theory and its Applications, Indian Institute of Science, Bangalore, India, January 26--February 01, 2012. Conference supported by International Centre for Theoretical Sciences, TIFR. Lectured on Patterned Random Matrices. Invited speaker at the Twelfth Discussion Meeting on Harmonic Analysis. Stat.-Math. Unit, Indian Statistical Institute, Kolkata, India, December 27--29, 2011. Lectured on Toelpitz Matrix and Toeplitz Operator. Seminar on Random Matrices, Stat.-Math. Unit, Indian Statistical Institute, Kolkata, India, July 21--22, 2011. Lectured on Autocovariance Matrix. Das, Mrinal, Kanti Visited IMSc, Chennai (May 25-June 4, 2011) and delivered a lecture on "Projective modules and good ideals" Attended CAAG conference in Pondicherry (March 5-9, 2012) and delivered a lecture on "Projective generation of curves". Das, Paramita Visited IMSc Chennai, 9 - 11 February, 2012 (as a part of ATM Workshop on Operator Algebras) Participated in the `Instructional Workshop on Subfactors and Planar Algebras' , March 26 - April 3, 2012 followed by `Sunderfest' (Prof. V.S. Sunder's 60th Birthday conference), April 4 - 6, 2012; both held in IMSc, Chennai. Dasgupta, Ratan: Participated in ‘The International Environmental Society (TIES)’, 3-6 January 2012, conference at CRRAO AIMSCS, Hyderabad and delivered an invited talk entitled ‘Characterization theorems based on conditional quantiles with applications.’ Organized and participated in a three-day ‘National conference on Growth Curve Model’ during 28-30 March 2012 at ISI Giridih. Datta, Mahuya: Visited IMSc, Chennai, 8-10 January 2012 (Indian Women and Mathematics). Delivered a lecture on “Handlebody decomposition of a manifold”. Visited Nagpur University, Nagpur, 17-20 February, 2012 (UGC Refresher course in IT Applications). Lectures delivered: 1. Group Theory : An application to Cryptography 2. Fundamental theorem of algebra. Visited TIFR, Mumbai, September 3-7, 2011. Delivered lecture on Lipschitz isometric maps for pairs of Riemannian metrics. Visited IIT, Bombay, Aug 29 – September 2, 2011. Delivered lecture on Universal property of Chern character form of universal connection. Visited University of Hyderabad of Hyderabad, April 7-8, 2011. Gave two lectures on Theory of hprinciple: Sheaf theoretic technique. Dutta, Amartya, Kumar: Visited Pondicherry University and Sri Aurobindo International Centre of Education (SAICE) at Pondicherry during October 1-17, 2011 and delivered the following lectures: Integer Solutions to Aryabhata's Equation (SAICE, 4.10.11); The Transition from High School Algebra to Abstract Algebra (SAICE, 6.10.11 and 11.10.11); History of Galois Theory (Pondicherry University, 7.10.11); Science in India: The Modern Revival (SAICE, 8.10.11); On subalgebras of polynomial algebras (Pondicherry University, 10.10.11). Was a Member of the Organizing Committee of the International Conference on Commutative Algebra and Algebraic Geometry (CAAG) held at Department of Mathematics, Pondicherry University, during 5.3.2012--9.3.2012. He gave a talk on the work of Prof. S.M. Bhatwadekar (8.3.2012) who was felicitated during the conference. Also gave a talk on Architects of Science in Modern India at SAICE on 3.3.2012. Delivered several lectures on``Mathematics and Astronomy in Ancient India'' and on ``Science in Modern India'' in the Indology course of the Ramakrishna Mission Institute of Culture (RMIC) from January 2012. He was a moderator and an examiner for the Examinations of the Indology course (June 2011). Delivered a lecture on ``Rings and Ideals'' to the mathematics faculty of St. Xavier's College, Kolkata, on 6.4.2011 and a lecture on the ``Geometric Significance of Ideals'' in a Refresher Course at the University of Calcutta on 22.11.2011. Goswami, Debashis: Visited ISI Delhi, December 23-24, 2011. Delivered lectures invited talk at a conference. Gupta, Neena: Visited School of Mathematics, TIFR, during 16--30 June 2011. Visited IIT, Mumbai, from 1--12 July 2011 and participated in ATM workshop in Commutative Algebra on local cohomology. Visited Pondicherry University, Puducherry, from 5th -- 9th March 2012 and participated in the International Conference on Commutative Algebra and Algebraic Geometry.