Probability and Number Theory (2024)

Convener(s)

 
Name: Dr. Sudhansu Sekhar Rout Dr. M. Subramani
Mailing Address: Assistant Professor Department of Mathematics
National Institute of Technology Calicut NIT Campus P.O., 673601
Kozhikode, India		 Assistant Professor
Department of Mathematics
Indian Institute of Information Technology Design and Manufacturing, Kancheepuram Tamil Nadu, Chennai - India.
Email: sudhansu at nitc.ac.in subramani at iiitdm.ac.in

 

This Teacher Enrichment Workshop (TEW) aims to equip college and university mathematics teachers with the necessary knowledge, resources, and skills to effectively educate students in the basic subjects they teach. In this workshop, some aspects of analytic number theory and basic probability theory will be discussed. Furthermore, essential applications of probability theory/methods in number theory will be addressed. This workshop is for college/university teachers in and around Kerala. Along with lecture sessions, discussion sessions will be there to clear the doubts of the participants.

Please note that TEW is meant only for local college teachers. The lectures in this workshop cover specific topics that are relevant to the teachers' classroom instructions. The usual length of the TEW is 5/6 days. An important component of this program is the discussion hour during which the teachers will have opportunities to get their doubts cleared.

 

Dates: 

Monday, January 29, 2024 - 19:00 to Saturday, February 3, 2024 - 19:00

Venue: 

Venue Address: 

 

Department of Mathematics,
National Institute of Technology Calicut NIT Campus P.O. 673601,
Kozhikode, India.

 

Venue State: 

Venue City: 

PIN: 

673601

Chrono Order: 

473

Syllabus: 

 Syllabus:

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. B.V. Rao,
CMI Chennai

6 (each

1.5 hour)

Discrete probability spaces, Bayes theorem, Random variables, Expectations, moments, Skewness and kurtosis, Probability distributions (discrete and continuous) and

some applications, and Bivariate probability distributions.

Dr. Mahesh Kumar
NIT Calicut

4 (each

1.5 hour)

Multiple random variables; Limit theorems of random variables, Statistical inference; Classical methods, Bayesian Inference

Dr. Sudhansu Sekhar Rout
NIT Calicut

4 (each

1.5 hour)

Elementary ways of finding a sum formula arithmetical functions, Abel summation formula, Euler’s summation

formula, elementary estimates on primes

Dr. Subramani M
IIITDM Kancheepuram

4 (each

1.5 hour)

Modular arithmetic, Fermat’s theorem, Euler’s theorem, Discrete logarithm, RSA and ElGamal cryptosystems

 

 

References:

  1. V.K. Rohtagi and A. K. Md. Ehsanes Saleh, An Introduction to Probability and Statistics, John Wiley & Sons, Inc., Hoboken, New Jersey, 2008.
  2. N. Koblitz, A Course in Number Theory and Cryptography, GTM, Springer, New York, 2012.
  3. T.M. Apostol, Introduction to Analytic Number Theory, Springer International Student Edition, 1998.
  4. J.H. Silverman, Jill Pipher, Jeffrey Hoffstein, An Introduction to Mathematical Cryptography, Springer New York, NY, 2008.

Name of the tutors:

S. No.

Name

Affiliation

1

Dr. Chiranjit Ray

IIIT Sri City/NIT Calicut

2

Ms. Julia T. Thomas

NIT Calicut

3

Ms. Parvati S Nair

NIT Calicut

4

Mr. Tamil Selvan

NIT Calicut

Time Table: 

 

Day

Date

Lecture 1

(9.30–11.00)

Tea (11.00
to
11.30)

Lecturer 2

(11.30–1.00)

Lunch (1.00
to
2.20)

Lecture 3

(2.30-4.00)

Tea
(4.00
to
4.15)

Tutorial/Discu ssion

(4.15-5.15)

Snacks (5.15
to
5.45)

Mon

29.01.2024

BVR

 

SM

 

BVR

 

BVR, SM, ,JT

 

Tue

30.01.2024

BVR

 

SM

 

SSR

 

SSR, PSN, JT

 

Wed

31.01.2024

BVR

 

SM

 

SSR

 

SM, CR, TS

 

Thu

01.02.2024

BVR

 

SSR

 

MK

 

BVR, CR, JT

 

Fri

02.02.2024

BVR

 

MK

 

SSR

 

MK, CR, TS

 

Sat

03.02.2024

MK

 

MK

 

SM

 

MK,PSN, JT

 

 Full forms for the abbreviations of speakers and tutors:

BVR: Prof. B.V. Rao
MK: Dr. Mahesh Kumar
SSR: Dr. Sudhansu Sekhar Rout
SM: Dr. Subramani M
CR: Dr. Chiranjit Ray
JT: Ms. Julia T Thomas
PSN: Ms. Parvati S Nair
TS: Mr. Tamil Selvan

 

Selected Applicants: 

 Instructions are as follows:

1. Hostel accommodation will be provided on a payment basis on request for outstation participants.
 
2. We will not provide any travel support to attend this workshop
 
3. Please write to S.S. Rout ( sudhansu@nit.ac.in) or M. Subramani (subramani@iiitdm.ac.in) if you need accommodation with dates as soon as possible. 
 
sr.n SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 53943 Mr Gladwin Jos K T Male Government engineering college kozhikode Assistant professor Cochin university of science and technology 2008 04/05/2022
2 53949 Mrs I. Mumtaj Fathima Female SRI VENKATESWARA COLLEGE OF ENGINEERING PhD Student Madras University 2009  
3 53984 Dr Vignesh E Male PSG Institute of Technology and Applied Research Assistant Professor PSG College of Arts and Science 2016 10/10/2022
4 54009 Dr. Ummey Habiba Female Integral University, Lucknow Assistant Professor Aligarh Muslim University 2017 28/12/2021
5 54014 Lt. Gajendran P Male PSG Institute of Technology and Applied Research Assistant Professor Bharathidasan University 2008  
6 54017 Dr Chinnaraj P Male PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH ASSOCIATE PROFESSOR CBM college 2004 05/05/2018
7 54025 Ms. Nevya Venkateswarl Dasari Female Parul University Asst.Professor Vnsgu 2015  
8 54030 Mr Naman Kumawat Male Central University Of Rajasthan Int. M.Sc. B.Ed. Student Central University Of Rajasthan Appeared  
9 54032 Dr Jasmine Mathew Female CKG Memorial Government College, Perambra Assistant Professor Cochin University 2004 18/05/2012
10 54056 Mr. Simonthomas S Male Pondicherry University PhD Anna University 2014  
11 54073 Mr Bapan Singha Male University of Gour Banga M.sc student University of Gour Banga 2022  
12 54078 Mr. Sridhar T Male IIITDM Kancheepuram PhD Bharathidasan University Trichy 2018  
13 54079 Ms. Padmavathy G Female IIITDM Kancheepuram PhD Sacred Heart College 2019  
14 54096 Mr. Shajeeb Pulikkalakath Usman Male Govt.Victoria College, Palakkad Assistant Professor Cochin University of Science And Technology 2002  
15 54168 Mr. Gaverchand K Male SRM Institute of Science and Technology PhD SRM Institute of Science and Technology - M.Sc 2021  
16 54169 Ms. Yasmin A Female SRM Institute of Science and Technology PhD SRM Institute of Science and Technology (M.Sc.) 2021  
17 54201 Dr Dinakar V Male PSG College of Technology Asst. Prof. Bharathiar University 2011 19/03/2018
18 54227 Dr. Srimathi R Female Idhaya College of Arts and Science for Women Assistant Professor Saradha Gangadharan College 2013 03/04/2021
19 54229 Dr. Anil Kumar S. Male Fatima Mata National College (Autonomous) Assistant Professor Univ. Of Kerala, M.Sc. 2003 18/12/2013
20 54232 Mr Rishabh Rathore Male Indian Institute of Technology Patna, Bihar BSc(Hons)Computer Science & Data Analytics STUDENT      
21 54239 Dr Vasundhara S Female G Narayanamma Institute of Technology and Science Asst Professor Andhra University 2000 13/09/2014
22 54240 Mr. Santhosh Kumar N Male CKGM Govt. College, Perambra Assistant Professor Farook College 2003  
23 54243 Mr Jitendra Kumar Male S.D. Government College (Constituent College, CCSU) Jewar,Gautam Buddh Nagar Assistant professor Meerut College,Meerut 2019  
24 54245 Mr. Rudranarayan Padhy Male NIT Calicut PhD Khallikote University 2018  
25 54013 Dr. Shija. G Female St. Joseph's College Devagiri Asst. Prof. Bharathair University 2001 19/04/2019
26 54044 Ms Sivaranjani A Female VIT UNIVERSITY RESEARCH SCHOLAR M.Sc 2021  
27 54051 Dr Sanghasri Mukhopadhyay Female VIT Vellore Assistant Professor The South Asian University New Delhi 2016 02/11/2020
28   Dr. Jayachandran E S Male College of Engineering, Adoor Professor      
29   Dr. Vasudevan A.R Male NIT Calicut Assistant Professor      
30   Dr. Minu K K Male IHRD College of Applied Science Kanjirappally Principal      
31   Mr. Pritam Kumar Bhoi Male NIT Rourkela        
32   Ms. Darsana N Female NIT Calicut        
33   Dr. Aswin G S Male NIT Calicut        
34   Dr. Masihuddin Male IIIT Guwahati        
35   Mr. Muhammed Sadique M T Male          
  Local Participants      
1   Ms. Parvati S Nair Female NIT Calicut        
2   Dr. Athira T M Female NIT Calicut        
  Waiting List      
1 54098 Mrs Neelam Kanwar Female CENTRAL UNIVERSITY OF RAJASTHAN INT. M.SC. B.ED. STUDENT Central University Of Rajasthan Appeared  
2 54125 Ms. Nahida Majeed Wani Female Banasthali Vidyapith Student Chaudhary Charan Singh Meerut 2020  
3 54190 Mr. Dipesh Meena Male Government SPMR College jammu Assistant Professor University of jammu 2003  

 

 

How to Reach: 

TBA

School Short Name: 

pnt

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0