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School of Mathematical Sciences
राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
National Institute of Science Education and Research

NISER

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  2. Past conference symposium workshop

Past conference symposium workshop

IWM Regional Workshop

By sutanu on Fri, 26/10/2018 - 12:22
Venue
Lecture Hall 5 (LH 5)

http://www.niser.ac.in/IWM/index.html

School and Workshop on Modular Forms and Black Holes

By brundaban.sahu on Tue, 06/12/2016 - 20:12
Venue
NISER

Lecture series on Transcendence on Commutative Algebraic Groups

By brundaban.sahu on Thu, 14/11/2019 - 10:07
Venue
SMS Seminar Room
Speaker
Professor M. Waldschmidt
Affiliation
Sorbonne Université
Title
Lecture series on Transcendence on Commutative Algebraic Groups

TBA

National Workshop on Cryptology-2014

By deepak on Tue, 05/08/2014 - 15:28
Venue
IIITDM, Jabalpur, Madya Pradesh

National Workshop on Cryptology-2014(under the aegis of Cryptology Research Society of India) will be held at IIITDM, Jabalpur, MP on 25-27 September 2014.
The Workshop Coordinators are Dr Sraban Mohanty, IIITDM, Jabalpur and Dr Deepak Kumar Dalai, NISER, Bhubaneswar.
Website: http://nwc.iiitdmj.ac.in/

AIS Harmonic Analysis (2018)

By parui on Fri, 02/11/2018 - 10:19
Venue
Seminar Hall

School of mathematical Sciences is going to host AIS Harmonic Analysis (2018) Please visit  https://www.atmschools.org/2018/ais/ha  for details of the programme.

Conference on Quantum Groups and Noncommutative Geometry

By sutanu on Mon, 28/08/2017 - 16:47
Venue
Seminar Room, School of Mathematical Sciences

https://sites.google.com/a/niser.ac.in/qgrpncg

Vertual Workshop

By anilkarn on Tue, 08/09/2020 - 11:02
Venue
Online
Title
Advanced Functional Analysis and its Applications 2020

https://sites.google.com/iith.ac.in/decemberworkshop/

Workshop

By sde on Wed, 22/10/2014 - 10:06
Venue
Hotel La Franklin

AFS III

By brundaban.sahu on Thu, 20/12/2018 - 11:40
Venue
SMS Seminar Room

Conference on NCG

By sutanu on Mon, 12/08/2019 - 22:03
Venue
Seminar Room, School of Mathematical Sciences

For more details/registration please follow the link https://sites.google.com/niser.ac.in/ncga-niser2020/home

J-Holomorphic Curves and Gromov-Witten Invariants

By ritwikm on Tue, 17/01/2017 - 08:18
Venue
NISER

 This will be an introductory summer school on "J-Holomrphic Curves and Gromov-Witten Invariants".We hope to cover the foundations of this subject by following the book "J-Holomorphic Curves and Symplectic Topology" by Dusa McDuff and Dietmar Salamon. Quite a few young mathematicians from India have agreed to  give lecturesin this summer school. Those who are interested in Differential Geometry, Differential Topology,   Complex Analysis and (Complex) Algebraic Geometry are particularly encouraged to participate in this programme.  The details of this summer school can be found on this website  http://www.niser.ac.in/niser_jhol/  

AIS Stochastic Processes - Level I

By nabinjana on Tue, 16/04/2019 - 16:25
Title
AIS - Stochastic Processes - level I

Most Indian Universities however do not have a rigorous study on probability. The aim of this school is to give a comprehensive training to students in a undergraduate/PhD programme onprobability and stochastic processes. Also to give them a chance to interact with researchers in these topics.
We propose to run three courses – 1) Basic probability theory, 2) Measure free Markov chain, 3)Modules of linear algebra and real analysis. There will be around 40 hours of lectures includingtutorials per topic over a 4 weeks period. In addition, over two weekends we plan to invite activeresearchers in probability to present introductory lectures on a research topic and interact withstudents.

Organizers:

a) Nabin Kumar Jana, Assistant Professor, NISER, Bhubaneswar

b) Rahul Roy, Professor, ISI, Delhi

 

Target audience: 3rd year of B.Sc.; 1st year of M.Sc. or 3rd & 4th year of Integrated M. Sc. students in Mathematics or Physics, 4th Year B.Tech. students in Electrical Engineering.

 

Speakers: Any 8 out of the following:
a) B V Rao, CMI, Chennai
b) Rahul Roy, ISI, Delhi
c) Anish Sarkar, ISI, Delhi
d) Antar Bandyapadhyay, ISI, Delhi
e) Krishanu Maulik, ISI, Kolkata
f) Parthanil Roy, ISI, Bangalore
g) Arijit Chakrabarty, ISI, Kolkata
h) Srikanth Iyar, IISc, Bangalore
i) Nabin Kumar Jana, NISER, Bhubaneswar
j) Manjunath Krishnapur, IISc, Bangalore

k) Probal Choudhuri, ISI, Kolkata

l) Alok Goswami, ISI, Kolkata

 

Syllabus: We plan to cover the following topics in this AIS.
Modules of Linear Algebra and Analysis:
     Linear Algebra: Vector Spaces: Denition of Vector Spaces and Subspaces, Basis of a Vector Space, Linear Equations, Vector Spaces with an Inner Product; Theory of Matrices and Determinants: Matrix Operations, Elementary Matrices and Diagonal Reduction of a Matrix, Determinants, Transformations, Generalized Inverse of a Matrix, Matrix Representation of Vector Spaces, Bases, etc., Idempotent Matrices, Special Products of Matrices; Eigenvalues and Reduction of Matrices: Classication and Transformation of Quadratic Forms, Roots of Determinantal Equations, Canonical Reduction of Matrices, Projection Operator, Further Results on g-Inverse, Restricted Eigenvalue Problem; Convex Sets in Vector Spaces: Denitions, Separation Theorems for Convex Sets

 

     Analysis: Metric spaces, open/closed sets, Cauchy-Schwarz Inequality, Holder's Inequality, Hadamard's Inequality, Inequalities Involving Moments, Convex Functions and Jensen's Inequality, Inequalities in Information Theory, Stirling's Approximation sequences, compactness, completeness, continuous functions and homeomorphisms, connectedness, product spaces, completeness of C[0; 1] and Lp spaces, Arzela-Ascoli theorem
    Reference Texts:
    1. C.R. Rao: Linear Statistical Inference and Its Applications.
    2. A. Ramachandra Rao and P. Bhimasankaram: Linear Algebra.
    3. G. F. Simmons: Introduction to Topology and Modern Analysis
    4. J. C. Burkill and H. Burkill: A second course in mathematical Analysis


Basic Probability Theory:
   Orientation, Elementary concepts: experiments, outcomes, sample space, events. Discrete sample spaces and probability models. Combinatorial probability and urn models; Conditional probability and independence; Random variables { discrete and continuous; Expectations, variance and moments of random variables; Transformations of univariate random variables; Jointly distributed random variables; Conditional expectation; Generating functions; Limit theorems;

    Reference Texts:
    a) S. M. Ross: A rst course in Probability
    b) Jacod & Protter: Probability Essentials
    c) W Feller: An Introduction to Probability: Theory and Its Applications, Vol I & II
    d) George G. Roussas: Introduction to Probability

 

Markov Chain:
Random Walk, Discrete Markov chains with countable state space. Classication of states -- recurrence, transience, periodicity. Stationary distributions, limit theorems, positive and null recurrence, ratio limit theorem, reversible chains. Several illustrations including the Gambler's ruin problem, queuing chains, birth and death chains etc. Poisson process, continuous time markov chain with countable state space, continuous time birth and death chains.

  Reference Texts:
1. W. Feller: Introduction to the Theory of Probability and its Applications, Vol. 1.
2. P.G. Hoel, S.C. Port and C.J. Stone: Introduction to Stochastic Processes.
3. S.M. Ross: Stochastic Processes.
4. S. Karlin and J. Taylor: Stochastic Processes, Vol. 1.
5. J.G. Kemeny, J.L. Snell and A.W. Knapp: Finite Markov Chains.

 

Last date of application is 10th May 2019.

 

Application form is available here.

 

List of selected participants:

 

SID

Name Confirmation of Participation
28170 Mr. Sadhanandh Vishwanath Confirmed
28199 Mr. Yogesh Kumar Confirmed
28270 Mr. Shivam Kumar Confirmed
28275 Ms. S Angel Auxzaline Mary No confirmation received
28290 Ms. Kanchana M Pending
28306 Mr Shyam Surykant Dhamapurkar No confirmation received
28309 Mr. Sanket Nemichand Teli Confirmed
28329 Mr Subhra Jyoti Nayak Confirmed
28333 Mr Bikram Mahapatra Confirmed
28352 Ms Sathya S Pending
28354 Ms Ashweta Padhan Confirmed
28356 Mrs Subhashini Marappan Pending
28365 Ms. Sonali Pradhan Confirmed
28368 Mr Brajamohan Sahoo Confirmed
28369 Ms. Sabhyata Rout Confirmed
28371 Mr. Ajay Shanmuga Sakthivasan Confirmed
28409 Mr. Krushna Chandra Sahoo No confirmation received
28447 Mr. Sachin Sachdeva Confirmed
28449 Ms. Subhashree Sahu No confirmation received
28456 Mr. Saptarshi Saha Confirmed
28464 Mr. Pallab Kumar Sinha Confirmed
28485 Ms. Km Sandhya Duplicate
28489 Mr Shantam Gulati Confirmed
28496 Mr Manas Jana Confirmed
28499 Mr Sougata Jana Confirmed
28534 Mr. Vivek Kumar Singh Confirmed
28560 Mr. Ravi Ashok Satpute Confirmed
28563 Ms. Km Sandhya Confirmed
28580 Mr Praneet Nandan Confirmed
28582 Mr. Hiranmay Das Confirmed

 

Second List:

SID Full Name Confirmation of participation
28123 Mr. Mayavel P Confirmed
28188 Mrs. Sangita Das Confirmed
28234 Mr Mostafizar Khandakar Selected for Level II
28328 Ms. Niharika Bhootna Confirmed
28336 Mr. Kunal Verma Confirmed
28508 Mr Vrikshavardhana Hebbar N Pending
28517 Ms. Debolena Basak Not confirmed
28572 Ms. Sarita Sarita Pending

 

 

  • To ensure the utilization of our full resources, selected participants through second list are requested to confirm their participation by 22nd May, 2019 to aissp @ niser.ac.in.
  • To confirm the participation, a mail along with inwards travel documents, that is, copy of your train/bus tickets has to be send to aissp @ niser.ac.in. For local participants there is no need of any travel documents, only confirmation mail will suffice.
  • For those who will travel by train, the nearest railway station from NISER, Bhubaneswar is “Khurda Road”. So book your ticket accordingly.
  • Hostel accommodation from 16th June to 13th July 2019 will be provided to the participants but participants has to bring their own bedcover.
  • Food (breakfast, lunch & dinner) will be served from evening of 16th June to morning of 13th July 2019. Along with the confirmation, please let us know if you have any dietary restrictions.


  • Based on the reply, a Third list of selected candidates may be published on 23rd May 2019.

     


 

 

 

 

 

What is hyperbolic geometry?

By parui on Sat, 25/03/2017 - 14:23
Venue
LH-5
Speaker
Professor Mahan MJ
Affiliation
TIFR, Mumbai
Title
What is hyperbolic geometry?

Abstract: We shall discuss Euclid's problem of trying to derive the parallel postulate from the remaining axioms.
 

Workshop on Number Theory

By brundaban.sahu on Fri, 09/03/2018 - 09:47
Venue
SMS Seminar Room

Discussion Meeting on Automorphic Forms

By brundaban.sahu on Wed, 08/06/2016 - 11:24
Venue
Seminar Room, SMS

AIS Stochastic Processes - Level II

By nabinjana on Tue, 14/05/2019 - 20:26
Venue
SMS Seminar Hall
Title
AIS - Stochastic Processes - level II

Most Indian Universities however do not have a rigorous study on probability. The aim of this school is to give a comprehensive training to students in a undergraduate/PhD programme on probability and stochastic processes. Also to give them a chance to interact with researchers in these topics. This is a follow up program of last year AIS on stochastic process held here at NISER, Bhubaneswar.
We propose to run three courses – 1) Measure theoretic probability, 2) Conditional probability and Martingale, 3) Brownian motion. There will be around 30 hours of lectures including tutorials per topic over a 3 weeks period. 

Organizers:

a) Nabin Kumar Jana, Assistant Professor, NISER, Bhubaneswar

b) Rahul Roy, Professor, ISI, Delhi

Funded by: IASc, Bengaluru and NCM, Mumbai

Target audience: Those who have attended Advanced Instructional School on stochastic processes 2018.

Speakers: 
a) B V Rao, CMI, Chennai
b) Rahul Roy, ISI, Delhi
c) Parthanil Roy, ISI, Bangalore
d) Arijit Chakrabarty, ISI, Kolkata
e) Srikanth Iyar, IISc, Bangalore

f) Manjunath Krishnapur, IISc, Bangalore

 

Syllabus: We plan to cover the following topics in this AIS.

1. Measure theoretic probability: Caratheodory extension theorem , Monotone class theorem, Dynkin’s pi-lambda theorem, MCT, Fatou’s Lemma, DCT, Fubini’s theorem. Probability spaces, random variables and random vectors, expected value and its properties. Independence. Various modes of convergence and their relation. The Borel-Cantelli lemmas. Weak Law of large numbers for i.i.d. finite mean case. Kolmogorov 0-1 law, Kolmogorov’s maximal inequality. Statement of Kolmogorov’s three-Series theorem (proof if time permits). Strong law of large numbers for i.i.d. case. Characteristic functions and its basic properties, inversion formula, Levy’s continuity theorem. Lindeberg CLT, CLT for i.i.d. finite variance case, Lyapunov CLT.

2. Conditional probability and Martingale: Absolute continuity and singularity of measures. Hahn-Jordon decomposition, Radon-Nikodym Theorem, Lebesgue decomposition. Conditional expectation – Definition and Properties. Regular conditional probability, proper RCP. Regular conditional distribution. Discrete parameter martingales, sub-and super-martingales. Doob’s Maximal Inequality, Upcrossing inequality, martingale convergence theorem, Lp inequality, uniformly integrable martingales, reverse martingales, Levy’s upward and downward theorems. Stopping times, Doob’s optional sampling theorem. Discrete martingale transform, Doob’s Decomposition Theorem. Applications of martingale theory: SLLN for i.i.d. random variables.

3. Brownian motion: Introduction to Brownian Motion, Kolmogorov Consistency theorem, Kolmogorov Continuity theorem, Construction of BM. Basic Martingale Properties and path properties – including Holder continuity and non-differentiability. Quadratic variation. Markov Property and strong Markov property of BM, reflection principle, Blumenthal’s 0-1 law. Distributions of first passage time and of running maximum of BM.

Interested participant can fill the following google form till 19th June 2019:

https://forms.gle/KHr4WYjxbk9gHT569

Program Schedule:

24th June 2019  
08:00-08:50 Breakfast at M5 of SMS Building
8:30-09:00 Registration at SMS Seminar room
09:00-11:00 Measure Theoretic Probability By B V Rao
11:00-11:30 Tea Break
11:30-12:30 Tutorial
12:40-14:30 Lunch Break
14:30-16:30 Measure Theoretic Probability By S Iyer
16:30:17:00 Tea & Snacks
17:00-18:00 Tutorial
20:00-21:00 Dinner at M5 of SMS Building
25th -- 28th June 2019  
08:00-08:50 Breakfast
09:00-11:00 Measure Theoretic Probability By B V Rao
11:00-11:30 Tea Break
11:30-12:30 Tutorial
12:30-14:30 Lunch Break
14:30-16:30 Measure Theoretic Probability By S Iyer
16:30:17:00 Tea & Snacks
17:00-18:00 Tutorial
20:00-21:00 Dinner
29th June 2019  
08:00-08:50 Breakfast
9:00-16:00 Heritage Tour to Bhubaneswar
20:00-21:00 Dinner
01st July -- 05th July 2019  
08:00-08:50 Breakfast
09:00-11:00 Conditional Probability and Martingales by A Chakrabarty
11:00-11:30 Tea Break
11:30-12:30 Tutorial
12:30-14:30 Lunch Break
14:30-16:30 Brownian Motion by R Roy
16:30:17:00 Tea & Snacks
17:00-18:00 Tutorial
20:00-21:00 Dinner
06th July 2019  
08:00-08:50 Breakfast
09:00-12:30 Group Discussions
11:00-11:30 Tea Break
12:30-14:30 Lunch Break
14:30-16:30 Group Discussions
16:30:17:00 Tea & Snacks
20:00-21:00 Dinner  
08th July -- 11th July 2019  
08:00-08:50 Breakfast
09:00-11:00 Brownian Motion by M Krishnapur
11:00-11:30 Tea Break
11:30-12:30 Tutorial
12:30-14:30 Lunch Break
14:30-16:30 Conditional Probability and Martingales by P Roy
16:30:17:00 Tea & Snacks
17:00-18:00 Tutorial
20:00-21:00 Dinner
12th July 2019  
08:00-08:50 Breakfast
09:00-11:00 Brownian Motion by M Krishnapur
11:00-11:30 Tea Break
11:30-12:30 Tutorial
12:30-14:00 Lunch Break
14:00-16:00 Conditional Probability and Martingales by P Roy
16:00-16:30 Feedback
16:30:17:00 Tea & Snacks
17:00-17:30 Conclusion
20:00-21:00 Dinner

Confirmed Participants:

Name Affiliation
Shivam Dhama IIT Gandhinagar
Ekta IIT Gandhinagar
Debashish Bose Shiv Nadar University
MOHAMMED HISHAM M Pondicherry University
Akhil Kumar Sahoo IISER Kolkata
Saikat Patra University of Calcutta
MOSTAFIZAR KHANDAKAR IIT BHILAI
Soham Ghosh University Of Kalyani
Barniit Adhikary University of kalyani
JEWEL MAHAJAN Iiser pune
Suvadip Sana Indian statistical Institute,Bangalore.
Monika Singh Dhull Indian Institute of Technology, Ropar
Ghodekar Shivani Shankarrao Pondicherry University
Aniket Datta University Of Kalyani
Anewsha Basu University Of Kalyani
DEBOLENA BASAK UNIVERSITY OF KALYANI
poushali sengupta university of kalyani
Arunodaya Bhattacharya university of Kalyani
Susmita Ghosh University of Kalyani
Aishani Barman Roy University of Kalyani

NISER Symposium

By sutanu on Mon, 22/01/2018 - 12:09
Venue
LH-5
Speaker
Professor Kalyan Bidhan Sinha
Affiliation
JNCASR, Bangalore
Title
The Fundamental Theorem of Integral Calculus

In the early days of our learning , most of our knowledge and practice of Integration is based on the Fundamental Theorem of Integral Calculus (FTIC). But the ideas and the intuition of it changes drastically as one tries to move onto higher dimensions or onto more "general sets", leading to new intuition, new Mathematics, entangling analysis with topology. In even more abstract setting, a rephrasing of FTIC leads to new theories of Integration with its "associated FTIC" . 

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