Theory of Prime Numbers and Related Areas
Venue: KSOM, Kozhikode
06 - 10 May, 2012
The Workshop is meant for research fellows, young teachers, PG and bright UG students of Mathematics. The course program covered: Ramanujan's Proof of Betrand's Postulate, Prime Number Theorem, Highly Composite Numbers and its applications and Ramanujan's way of summation.
Resource Persons:
Prof. Ram Murty |
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Dr. Anirban Mukhopadyaya Institute of Mathematical Sciences |
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Dr. D. S. Ramana |
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| Dr. R. Thangadurai Harish-Chandra Research Institute |
Instructional Workshop on Ergodic Theory
Venue: KSOM, Kozhikode
17 October - 04 November 2011
The Workshop was meant to benefit research fellows and young teachers of Mathematics and Statistics. The course program covered: Basic Ergodic Theory and Topological Dynamics, Probabilistic Systems, Spectral Theory of Dynamical Systems, Ergodic Theory with groups and Diophantine Approximations, Ergodic Theory in Geometry.
Resource Persons:
| M. G. Nadkarni (IIT, Indore) | Lecture Notes |  |
| S. G. Dani (TIFR, Mumbai) | ||
| S. C. Bagchi (ISI, Kolkata) | ||
| Siddharta Bhattacharya (TIFR, Mumbai) | Lecture Notes | |
| B. V. Rao (CMI, Chennai) | Lecture Notes | |
| J. Dani (University of Mumbai) | ||
| C. S. Aravinda (TIFR, Bangalore) | ||
| Shiva Shankar (CMI, Chennai) | ||
| J. Mathew (KSOM, Kozhikode) |
School on Algebra, Analysis & Topology
Venue: KSOM, Kozhikode
01-07 September, 2011
The School was aimed at M.Sc. Mathematics students of Kerala. The course covered some topics of Algebra, Analysis and Topology which are not usually covered in the M.Sc. curriculum
Resource Persons: Basudeb Dutta (I.I.Sc., Bangalore) |
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Workshop on Functional Analysis and Harmonic Analysis
Venue: KSOM, Kozhikode
01 June 2011 - 10 June 2011
The workshop was aimed at senior post-graduate students with aptitude for research and junior research fellows with research interests broadly in Analysis. The workshop also benefit young teachers of Mathematics teaching at post-graduate level.
Resource Persons Prof. Gadadhar Misra (IISc, Bangalore) |
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School on Analysis, Algebra & Topology
Venue: KSOM, Kozhikode
13 Dec 2010 - 07 Jan 2011
The programme was aimed at junior research fellows and final year post-graduate students in Mathematics from Universities/Colleges in Kerala. Those who have completed post-graduate programme recently and intending to pursue mathematics as a career also appllied. The School was conducted by eminent researchers from Universities/Institutions in India and covered some advanced topics in Algebra, Topology and Analysis which are generally considered to be prerequisites for research scholars in all disciplines of Mathematics. The course consist of rigorous class room lectures and problem solving tutorials.
Resource Persons
U. K. Anandavardhanan , IIT Bombay
Manoj Kumar Keshari , IIT Bombay
Balwant Singh , CBS Bombay
Sudhir Ghorpade , IIT Bombay
Raja Sreedharan , TIFR Bombay
Rudra Pada Sarkar, ISI, Kolkatta
A K Nandakumaran, IISc Bangalore
K Sandeep, TIFR Bangalore
P K Rathnakumar, HRI Allahabad
P K Rathnakumar, HRI Allahabad
Mahuya Datta, ISI, Kolkatta
V Uma , IIT Madras
Amit Hogadi , TIFR Bombay
A J Parameswaran, KSOM
Advanced Instructional School on Schemes & Cohomology
Venue: KSOM, Kozhikode
28 June - 16 July, 2010
Conveners: A. J. Parameswaran & V. Balaji
Advanced Training in Mathematics (ATM) Schools are a joint effort of a large number of mathematicians in the country for training mathematics research scholars and teachers with generous support from the National Board for Higher Mathematics. The programmes are conducted in reputed mathematics departments in Summer and Winter each year. In these Schools, the emphasis is on problems solving and on understanding interrelations of basic subjects in mathematics. At the initial stage, ATM Schools consist of two Annual Foundation Schools (AFSI & II) in algebra, analysis, and topology. At a later stage, Advanced Instructional Schools (AIS) and workshops (ATMW) in all major areas are organised. Several advanced instructional schools (ATML) are organized each year exclusively for young lecturers in colleges and universities.
Advanced Instructional School on Schemes and Cohomology
The AIS was directed towards making young researchers in India familiar with the developments in Algebraic Geometry, with special emphasis on Grothendieck’s programme. The three week programme was primarily aimed at early researchers in this field to become familiar and users of the tools and techniques in this subject. To acquire a good knowledge of modern algebraic geometry it is essential to see the “local” aspects coming from Commutative algebra in its interplay in geometry as well as the immense machinery of cohomology. These two themes were the main ones for the workshop. To give a flavour of the manner in which these tools have lead to fundamental theorems in algebraic geometry, the final week stress on some research themes. A team of active researchers in the field had participated for this purpose.
Resource persons
TEV Balaji V. Balaji Vivek Mallik
D. S. Nagaraj Suresh Naik ,
A. J. Parameswaran, K. N. Raghavan
Unity of Mathematics Lectures
Nitin Nitsure, Kapil Paranjape, S. Ramanan,
Pramathanath Sastry , C. S. Seshadri, C. S. Rajan
Jugal Verma, Shiva Shankar
Summer School on Probability: Foundations & Applications
Venue: KSOM, Kozhikode
17 May - 04 June, 2010
The Summer School was meant to benefit senior post-graduate students, junior research
fellows and young teachers of Mathematics, Statistics and Computer Science. The
course covered fundamentals of discrete and continuous probability models, law
of large numbers, weak convergence and limit theorems, conditional probability,
Markov Chains and Martingales, large deviations and entropy. It also covered
some applications to number theory, graph theory, computer science and other related
fields.
Resource Persons
M. G. Nadkarni (Univesity of Mumbai)
B. V. Rao (C. M. I., Chennai)
B. Rajeev (I. S. I., Bangalore)
Inder Rana (I. I. T., Mumbai)
R. L. Karandikar (C. M. I., Chennai)
R. V. Ramamoorthi (I. I. Sc., Bangalore)
Workshop on Statistics
Venue: KSOM, Kozhikode
05-06 March, 2010
The workshop was meant exclusively for the Scientists of KSCSTE and the R&D institutions under KSCSTE.
Resource Persons
T.Krishnan obtained his Master's and Ph.D. degrees from the Indian Statistical Institute, Kolkata. He has been on the faculty of this Institute since 1965 until his retirement in 1998 as a Professor of Applied Statistics. After retirement he worked as a full-time consultant for Cranes Software International Limited, Bangalore, on the development of a statistical software SYSTAT for eight years. Currently he is working for Strand Life Sciences, a Bioinformatics company in Bangalore as a Statistician. His book (with G.J. McLachlan) on the EM Algorithm is a definitive and standard reference on the subject.
R.V.Ramamoorthi obtained his Master's degree from Utkal University and his Ph.D. degree from the Indian Statistical Institute, Kolkata. Since 1982 he has been on the faculty of the Michigan State University, East Lansing, Michigan, U.S.A. where he is currently a Professor of Statistics. He is currently on leave from this position and is a visiting professor at the Indian Institute of Science, Bangalore. . His earlier research was on sufficiency and decision theory. For the last few years he has been working on Bayesian Nonparametric Inference and his book (with J.K.Ghosh) on Bayesian Nonparametrics is an authoritative book on the subject.
Time Schedule
Friday, 05 March 2010
| 09:30--10:00 | Inauguration | Dr. K. V. Jayakumar | |
| 10:00--11:15 | Introduction to Data Analysis | TK (T. Krishnan) | Lecture Notes |
| 11:30--12:45 | Basic Probability | RVR (R. V. Ramamoorthi) | Lecture Notes |
| 12:45--14:00 | Lunch | ||
| 14:15--15;30 | Descriptive and Graphical Statistics | TK | |
| 15;45--17:00 | Sampling Distributions and Confidence Intervals | RVR | Lecture Notes |
Saturday, 06 March 2010
| 10:00--11:15 | Hypothesis Testing | RVR | Lecture Notes |
| 11:30--12:45 | Analysis of Variance and Regression | TK | Lecture Notes |
| 12:45--14:00 | Lunch | ||
| 14:15--15;30 | Experimental Designs and Survey Sampling | TK | |
| 15;45--17:00 | Computer-Intensive Statistical Methods | RVR, TK |
Workshop on Functional Analysis and Harmonic Analysis
Venue: KSOM, Kozhikode
1-10, February 2010
The workshop was meant to benefit senior post-graduate students, junior research fellows and young teachers of Mathematics and aims to cover the necessary background material for understanding, pursuing and teaching advanced level topics in the two main areas of the workshop. The workshop is meant for senior MSc. students, Junior Research Scholars and young teachers from university departments and col leges from the country.
Topics covered:
Functional analysis: Banach algebras, maximal ideals, Gelfand-Naimark theorem, spectral theorem
Harmonic analysis: Fourier series, Fourier transforms and Paley-Wiener theorems
Resource persons
Prof. Gadadhar Mishra, Indian Institute of Science, Bangalore
Prof. E. K. Narayanan, Indian Institute of Science, Bangalore
Prof. Alladi Sitaram, Indian Institute of Science, Bangalore
Prof. V. S. Sunder, Institute for Mathematical Sciences, Chennai
Prof. B. V. Rajarama Bhat, Indian Statistical Institute, Bangalore
Instructional Workshop on Spectral Theorem
Venue: KSOM, Kozhikode
15th and 16th June 2009
Co-Sponsored by KSCSTE
Day 1, June 15, 2009, Monday:
Registration : 8:30 a.m.
Inauguration : 10:00 a.m. – 11:00 a.m.
Tea : 11:00 a.m. - 11:30 a.m.
Lecture 1, 11:30 a. m-12.30 p.m.: Spectral theorem for normal matrices – Dr. Rajarama Bhat
Lecture 2, 12:30 p.m-1:30 p.m: Spectral theorem for compact self-adjoint operators
- Dr. G. Ramesh
Lunch break: 1:30 p.m-2:30 p.m
Lecture 3, 2:30 p.m-3:30 p.m: Topologies of B (H) –Dr. A K Vijayarajan
Tea: 3:30 p.m- 4:00 p.m.
Lecture 4, 4:00 p.m.-5:00 p.m.: General spectral theorem for bounded operators-I- Dr. Rajarama Bhat
Day 2, June 16, 2009, Tuesday:
Lecture 1, 9:30 a.m-10:30 a.m.: General spectral theorem for bounded operators –II- Dr. Rajarama Bhat
Tea break: 10:30 a.m-11:00 a.m.
Lecture 2, 11:00 a.m-12:00 p.m: Double Commutant Theorem - Dr. A K Vijayarajan
Discussions: 12:00 p.m-12:30 p.m
Lunch break: 12:30 p.m-2:00 p.m
Lecture 3, 2:00 p.m-3:00 p.m: Trace Class Operators and Duality- Dr. G. Ramesh
Tea break: 3:00 p.m-3:30 p.m
Lecture 4, 3:30 p.m-4:30 p.m: Some Applications of spectral Theorem-
Discussion: 4:30 p.m.-5:00 p.m. Dr. Rajarama Bhat
Resource persons & Speakers
Name |
Affiliation |
Designation |
Address/e-mail |
Dr. B. V. Rajarama Bhat |
Indian Statistical Institute |
Professor |
Indian Statistical
Institute, R. V. College(PO) Bangalore-560059 |
Dr. G. Ramesh |
Indian Statistical Institute |
Post-doctoral Fellow |
Indian Statistical
Institute, R. V. College(PO) |
Dr. Vijayarajan A. K. |
Kerala School of Mathematics |
Associate Professor |
Kerala School of Mathematics |