TEW - Probability and Number Theory (2024)

Speakers and 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

 

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