TEACHING

Quantum field theory: PHY/HEP 395.

This is a 48 hour lecture course covering a first course in quantum field theory. This is being currently given. The notes for this course are given below. Each lecture was 1.5 hours.

LECTURE 1	LECTURE 7	LECTURE 13	LECTURE 19	LECTURE 28
LECTURE 2	LECTURE 8	LECTURE 14	LECTURE 20,21	LECTURE 29-31
LECTURE 3	LECTURE 9	LECTURE 15	LECTURE 22
LECTURE 4	LECTURE 10	LECTURE 16	LECTURE 23
LECTURE 5	LECTURE 11	LECTURE 17	LECTURE 24
LECTURE 6	LECTURE 12	LECTURE 18	LECTURE 25-27

MID TERM EXAM (open book)

FINAL (take home)

Advanced mathematical methods of physics: PHY/HEP 316.

This was a 48 lecture course covering group theory and differential geometry given in 2011. The emphasis was on group theory. Discrete, Lie groups, Lie algebra, classification of Lie algebras were covered. For the differential geometry part, differential forms, curvature, Christoffel symbols, Riemann tensor, homotopy and homology were discussed.

PROBLEM SHEET 1

PROBLEM SHEET 2

PROBLEM SHEET 3

The students were asked to make a presentation on an advanced topic of their choice. These are linked below:

1. Conformal symmetry of Maxwell's equations, Shouvik Datta, CHEP

2. Clifford algebra and spinor representations in arbitrary dimensions, Manisha Thaukrathi, CHEP

3. Symmetry Analysis in Fluid Dynamics, Saikishan Suryanarayanan, JNCASR

4. Symmetry groups of PDEs, Joy Monteiro, CAOS

5. Group theoretic approach to splitting of orbital in crystal potential, Maheswar Maji, Physics

6. Calculation of band structure using group theory, Sudeep Ghosh, Physics

7 & 8. SU(5) and grand unification, Ranjan Modak and Debabrata Pramanik, Physics

The weightage was 30% for assignments, 60% for presentation and 10% for class performance.