TEW - Algebra and Number Theory(2026)
Speakers and 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