Convener(s)
| Name: | Dr. Mohammad Yahya Abbasi | Dr. Richa Sharma |
| Mailing Address: | Professor Department of Mathematics Jamia Millia Islamia, New Delhi, India-110025 |
Assistant Professor Department of Mathematics Jamia Millia Islamia, New Delhi, India-110025 |
| Email: | mabbasi at jmi.ac.in | richasharma582 at gmail.com |
Teacher’s Enrichment Workshops (TEW) are conducted by NCM with the financial support from Advancement of Arts and Sciences from India, which is known as ARSI. This program aims to help university and college teachers improve their presentation skills for teaching mathematical concepts in core subjects like Partial Differential Equations and how they are used in real life.
This course will help the participants to learn advanced mathematics in an enjoyable way. The main focus will be on better understanding of the fundamental concepts in these three subjects and their applications. The resource persons for the proposed TEW are well established faculty members from renowned institutes, all well versed with teaching skills.
Dates:
Venue:
Venue Address:
Department of Mathematics,
Jamia Millia Islamia, New Delhi,
India-110025
Venue State:
Venue City:
PIN:
Syllabus:
| Topic | Number of lecture hours | Number of tutorial hours | Syllabus to be covered | Name of the Speaker |
| Number Theory | 6 | 4 | Existence of infinite number of primes, Sieve of Er-atosthenes, Goldbach Conjecture, Chinese Remain-der Theorem, Number Theoretic Functions: Sum and number of divisors and their properties, Mo- bius Inversion Formula, Primitive roots, Quadratic residues, Mersenne Primes and Amicable Numbers, Fermat Numbers. | Prof. Shanta Laishram, ISI, Delhi |
| Number Theory | 3 | 2 | Well ordering principle, Division Algorithm, Great-est common divisor, Euclid’s algorithm, Linear dio-phantine equations, Congruences. | Dr. Richa Sharma, JMI, Delhi |
| Algebra | 6 | 4 | Group Homomorphisms: Kernels and images, iso- morphisms, First Isomorphism Theorem and its ap- plications, automorphisms, conjugate elements, class equations, properties of p-groups, and Sylow’s theo- rems. Group Actions: Basic concepts and examples, or- bits and stabilizers, orbit-stabilizer theorem, nor- mal series, composition series, solvable and nilpo- tent groups (with definitions, motivations, and ex- amples), and some applications of group theory. | Prof. Chandan Singh Dalawat, Central University of Rajasthan, Rajasthan |
| Algebra | 3 | 2 | Definition of Groups: Examples and basic prop-erties, matrix groups, quaternion group, dihedralgroups, symmetric and alternating groups, cyclic groups, subgroups, normal subgroups, and quotient groups. | Prof. Mohammad Yahya Abbasi, JMI, Delhi |
Speakers and Tutors
| S. No. | Name | Affiliation | Number of Lecture hours (L) and Tutorial hours (T) |
| 1 | Prof. Shanta Laishram (MainSpeaker-1) |
Professor, Department of Mathematics, Indian Statistical Institute, Delhi, India |
6 L + 4T |
| 2 | Prof. Chandan Singh Dalawat (Main Speaker-2) |
NBHM Chair Professor, Department of Mathematics, Central University of Rajasthan, Ra- jasthan, India |
6 L + 4T |
| 3 | Prof. Mohammad Yahya Abbasi (Main Speaker-3) |
Professor, Department of Mathematics, JMI, Delhi, India |
3 L + 2T |
| 3 | Dr. Richa Sharma (Main Speaker-4) |
Assistant Professor, Department of Mathematics, JMI, Delhi, India |
3 L + 2T |
| 3 | Pakhi (Tutor-1) |
Research Scholar, Department of Mathematics, Jamia Millia Islamia, Delhi, India |
6T |
| 4 | Sameena Hashmi (Tutor-2) |
Research Scholar, Department of Mathematics, Jamia Millia Islamia, Delhi, India |
6T |
Reference Books:
(1) Contemporary Abstract Algebra by Joseph A. Gallian.
(2) Elementary Number Theory by David M. Burton.
(3) Abstract Algebra by David S. Dummit and Richard M. Foote.
(4) Elementary Number Theory: Primes, Congruences, and Secrets by William Stein.
Time Table:
| Day | Date | Lecture 1 09:30 AM to 11:00 AM |
11:00 to 11:30 AM | Lecture 2 11:30 AM to 01:00 PM |
Break 01:00 PM to 02:00 PM |
Discussion/ Tutorial 02:00 PM to 03:00 PM |
03:00 PM to 03:30 PM | Discussion/ Tutorial 03:30 PM to 04:30 PM |
04:30 PM to 05:00 PM |
| Mon | 23-11-2026 | MYA(L) | T | RS(L) | L | MYA + SH (T) | T | RS + PK(T) | S |
| Tue | 24-11-2026 | MYA(L) | E | RS(L) | U | MYA + SH (T) | E | RS + PK(T) | N |
| Wed | 25-11-2026 | CSD(L) | A | SL(L) | N | CSD + SH (T) | A | LS + PK(T) | A |
| Thu | 26-11-2026 | CSD(L) | SL (L) | C | CSD + SH (T) | LS + PK(T) | C | ||
| Fri | 27-11-2026 | CSD(L) | SL (L) | H | CSD + SH (T) | LS + PK(T) | K | ||
| Sat | 28-11-2026 | CSD(L) | SL (L) | CSD + SH (T) | LS + PK(T) | S |
L- Lectures; T- Tutorials
- CSD- Prof. Chandan Singh Dalawat
- LS- Prof. Shanta Laishram
- MYA- Prof. Mohammad Yahya Abbasi
- RS- Dr. Richa Sharma
- PK-Pakhi
- SH- Sameena Hashmi
Selected Applicants:
How to Reach:
TBA