Algebra and Number Theory (2023)

Convener(s)

 
Name: Prof. S. D. Adhikari Dr. A. M. Buhphang
Mailing Address: (Formerly at Harish Chandra Research Institute, Allahabad) Department of Mathematics,
Ramakrishna Mission Vivekananda Educational and Research Institute, Belur – 711202,
West Bengal.

Department of Mathematics,
North-Eastern Hill University, Shillong-793022,
Meghalaya.
Email: adhikarisukumar at gmail.com ardeline at nehu.ac.in

Dates: 

Monday, June 26, 2023 - 19:00 to Saturday, July 8, 2023 - 19:00

Venue: 

Venue Address: 

Department of Mathematics
North-Eastern Hill University, Shillong-793022.

Venue State: 

Venue City: 

PIN: 

793022

Syllabus: 

 Syllabus:

Sr. Name of the speaker and Affiliation
 Topic of lectures Number of lectures
1 Prof. S. D. Adhikari
Ramakrishna Mission Vivekananda Educational and Research Institute,
Belur		 Divisibility Theory in Integers; Congruences: Euler-Fermat, Wilson's Theorem, Chinese Remainder Theorem, quadratic reciprocity law, Sum of two squares. (first week) 6 lectures
2 Prof. D. S. Ramana
H.R.I. Allahabad.		 Arithmetical functions - average order of some functions; Distribution of Primes: Chebyshev's bound. (first week) 6 lectures
3 Prof. D. Khurana
Panjab University, Chandigarh.		 Historical importance of Rings in solving problems of Number theory, Fermat's Last Theorem, Elliptic Curves, Classification of primitive Pythagorean triples, Fermat’s Theorem on sum of two squares;
Norms and Traces, Number Rings of quadratic and cyclotomic number fields, Discriminant, Number Rings as free abelian groups, Integral Bases, Norms and Classes of Ideals, Class Numbers of Number Fields and their finiteness. (second week)		 9 lectures
4 Dr. A. M. Buhphang
NEHU, Shillong.		 Unique Factorization Domains, Principal Ideal Domains, Euclidean Domains: Basic properties and interrelations, Number fields and Number rings. (second week) 3 lectures

References:
    1. David M. Burton, Elementary Number theory, Universal Book stall, New Delhi, 2011.

    2. G.H. Hardy and E.M. Wright , An Introduction to the Theory of Numbers, The English Language Society and Oxford University Press, 1998.

    3. Paolo Ribenboim, Classical Theory of Algebraic Numbers, Springer-Verlag, New York, 2001.

Time Table: 

Tentative time-table

Day

Date

Lec 1
9.30
to
11.00

Tea
11.05
to
11.25

Lec 2
11.30
to
1.00

Lunch
1.05
to
2.25

Tut
2.30
to
3.30

Tea
3.35
to
3.55

Tut
4.00
to
5.00

Snacks
5.05
to
5.30

 

 

name of the
speaker

 

 name of the
speaker

 

 name of the
speaker
+
tutors

 

 name of the
speaker
+
tutors

 

Mon

26.06.23

SDA

 

DSR

 

DSR+SDA

+RM

 

SDA+DSR

+RM

 

Tues

27.06.23

SDA

 

DSR

 

DSR+SDA

+RM

 

SDA+DSR

+RM

 

Wed

28.06.23

SDA

 

DSR

 

DSR+SDA

+RM

 

SDA+DSR

+RM

 

Thu

29.06.23

SDA

 

DSR

 

DSR+SDA

+RM

 

SDA+DSR

+RM

 

Fri

30.06.23

SDA

 

DSR

 

DSR+SDA

+RM

 

SDA+DSR

+RM

 

Sat

01.07.23

SDA

 

DSR

 

DSR+SDA

+RM

 

SDA+DSR

+RM

 

SUNDAY : OFF

Mon

03.07.23

DK

 

DK

  

DK+AMB

+SD

 

AMB+DK

+SD

 

Tues

04.07.23

DK

 

AMB

 

DK+AMB

+SD

 

AMB+DK

+SD

 

Wed

05.07.23

DK

 

DK

 

DK+AMB

+SD

 

AMB+DK

+SD

 

Thu

06.07.23

DK

 

AMB

 

DK+AMB

+SD

 

AMB+DK

+SD

 

Fri

07.07.23

DK

 

AMB

 

DK+AMB

+SD

 

AMB+DK

+SD

 

Sat

08.07.23

DK

 

DK

 

DK+AMB

+SD

 

AMB+DK

+SD

 

 

TutorialAssistants:

S. No.

Name

Affiliation

1

Dr. Ramdin Mawia

I.S.I. Bangalore

2

Dr. Soumitra Das

I.I.S.E.R. Berhampur
  • DSR – D.S.Ramana.
  • SDA – S.D. Adhikari.
  • D.K. – D. Khurana.
  • AMB – A. M. Buhphang.
  • RM – Ramdin Mawia.
  • SD- Soumitra Das

 

 

Selected Applicants: 

 The selected applicants must confirm their participation latest by June 4, 2023 to the mail id ardeline17@gmail.com failing which a waitlisted applicant will be selected in their place.

Outstation Participants
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. Deg Date
1 47828 Dr Gaurav Kumar Male GDC Paloura Asst. Prof. University of Jammu 2011 29/12/
2017
2 47848 Dr. Virender Pal Singh Male GOVT DEGREE COLLEGE, SAMBA
SAMBA		 Asst. Prof. UNIVERSITY OF JAMMU 2002 22/03/
2012
3 47925 Dr. Debashish Sharma Male Gurucharan College Asst. Prof. Assam University, Silchar 2011 25/05/
2017
4 48028 Dr. Munmi Saikia Female PATHARKANDI COLLEGE Asst. Prof. Gauhati University 2007 29/02/
2020
5 48258 Dr. Ajim Uddin Ansari Male CMP Degree College, University of Allahabad Asst. Prof. University of Allahabad 2015 20/01/
2023
6 48259 Dr. Surya Prakash Male CMP Degree College, University of Allahabad Asst. Prof. University of Allahabad 2015 20/07/
2021
7 48269 Dr. Sonika Singh Female CMP Degree College, University of Allahabad, Prayagraj Asst. Prof. CCS University, Meerut, U.P. India 2013 17/06/
2020
8 48603 Dr Laithun Boro Male St Joseph University Asst. Prof. Gauhati University 2017 22/03/
2023
9 48651 Dr. N Paramaguru Male Govt. Arts College for Women, Krishnagiri, Tamil nadu Asst. Prof. Annamalai University   11/08/
2014
10 48884 Ms Arokiamary. S Female Sacred heart Degree College for Women Asst. Prof. Bangalore University 2004  
11 49004 Mr Saravanakumar Dhanabal Male MSS Wakf Board College Madurai Asst. Prof. Madurai Kamaraj University 2006  
12 49342 Mr Muniyasamy S Male THIYAGI DHARMAKKAN AMIRTHAM COLLEGE OF ARTS AND SCIENCE Asst. Prof. ALAGAPPA UNIVERSITY/ SYED HAMEEDHA ARTS AND SCIENCE COLLEGE, KILAKARAI 2017  
13 49562 Dr. Om Prakash Keshri Male Mizoram University, Aizawl Guest Faculty, Aizawl Indian Institute of Technology (Indian School of Mines), Dhanbad 2012 10/09/
2020
14 49847 Ms Meyi Benla Female National Institute of Technology, Nagaland PhD University of Hyderabad 2021  
15 49868 Dr. Rinchin Drema Female Dera Natung Govt college, Asst. Prof. Rajiv Gandhi University 2018 14/03/
2023
16 49899 Dr. Mohammad Prawesh Alam Male Maitreyi College University of Delhi Asst. Prof. Jamia Millia Islamia 2015 30/09/
2022
17 49940 Asst. Prof Krishna Goswami Female DINABANDHU ANDREWS INSTITUTE OF TECNOLOGY AND MANAGEMENT Ass. Prof PRESIDENCY UNIVERSITY 2016  
18 49980 Dr. Avinoy Paul Male Cachar College Asst.Prof. Gauhati University 2004 01/07/
2014
19 49997 Mr Pabitra Debnath Male St. Xavier's College, Kolkata Asst. Prof. IIT KANPUR 2004 25/08/
2020
20 50166 Dr. Krishnendu Das Male Women's College Asst. Prof. University of Hyderabad 2009 14/08/
2018
21 50234 Mr. Susobhan Mazumdar Male St. Joseph's University, Bengaluru Asst. Prof. Indian Institute of Technology, Madras/ Indian Institute of Technology/ M.Sc 2010  
22 49205 Mr. Saurav Jyoti Gogoi Male Gauhati University PhD North Eastern Hill University 2021  
23 50028 Mr. Pranjal Talukdar Male Tezpur University PhD Student Tezpur University 2020  
24 48303 Ms Sumandeep Kaur Female Panjab University, Chandigarh PhD S.C.D. Govt. College Ludhiana 2018  
25 50082 Ms. Flora Jeba S. Female Christ University PhD Scholar Madras Christian College 2019  
26 48302 Ms Jyoti . Female Panjab University, Chandigarh PhD Department of Mathematics, Panjab University, Chandigarh 2019  
27 47738 Mr. Sanjay Kumar Thakur   Science College kokrajhar, Patharghat, Kokrajhar, Assam - 783370 Assistant Professor      
28 49416 Mr. Madhusudan Deval Male BANARAS HINDU UNIVERSITY PhD   2021  
  Local participants
1 47465 Mr Shanborlang Bynnud Male North Eastern Hill University PhD North Eastern Hill University, Shillong 2016  
2 47773 Ms. Dimpy Mala Dutta Female NEHU PhD Tezpur University 2017  
3 47793 Mr. Longjaijai Kharkamni Male North Eastern Hill University, Shillong Research Scholar M.Sc 2020  
4 47794 Mr Yangersenba T Jamir Male North Eastern Hill University Research Scholar North Eastern Hill University 2018  
5 47795 Mr. Joyprakash Maibam Male NEHU Shillong Research Scholar NIT Manipur 2020  
6 50027 Mr. Gunajyoti Saharia Male North Eastern Hill University Ph.D. Tezpur University, M.Sc. 2021  
7 50059 Mr. Rishabh Goswami Male North-Eastern Hill University PhD Student Tezpur University 2021  

 

 

How to Reach: 

How to reach

School Short Name: 

ant

Last Date Application: 

Friday, May 26, 2023

School Type: 

IST

Separate faculty form: 

0