TIFR Mumbai Math

Hello sir would you please provide me list of Faculty member of school of Mathematic of Tata Institute of Fundamental Research (TIFR)??

[Kiran Chandar]

Tata Institute of Fundamental Research (TIFR) was founded in June 1, 1945, it is a research institution and dedicated to basic research in mathematics and the sciences and it is a Deemed University…..

List of faculty member of school of Mathematic of Tata Institute of Fundamental Research (TIFR)…

Amitava Bhattacharya
Siddhartha Bhattacharya
Indranil Biswas
N. Fakhruddin
Eknath Ghate
Anish Ghosh
R.V. Gurjar
Amit Hogadi
Yogish I. Holla
Amalendu Krishna
Ritabrata Munshi
Arvind Nair
Nitin Nitsure
A.J. Parameswaran
Dipendra Prasad
C.S. Rajan
Ravi A. Rao
S.E. Rao
S.K. Roushon
A. Sankaranarayanan
N. Saradha
J. Sengupta
Raja Sridharan
V. Srinivas
S. Subramanian
Vijaylaxmi Trivedi
Sandeep Varma V
T.N. Venkataramana
G.R. Vijaykumar

Contact detail:
Tata Institute of Fundamental Research
Dr. Homi Bhabha Road, Navy Nagar, Near Navy Canteen
Mandir Marg, Colaba
Mumbai, Maharashtra 400005

Map;

[MAP]Tata Institute of Fundamental Research[/MAP]

Hii sir, I wanted to get the MSc Syllabus of the TIFR math school of Mumbai please provide me the syllabus ?

[Raman Vij]

As you asking for the MSc Syllabus TIFR math school of Mumbai the syllabus is as follow :

Algebra
Group Theory: Basic notions and examples, subgroups, normal subgroups, quotients, products, semi-direct product, group acting on sets, Lagrange theorem, Cauchy's theorem, Sylow theorems, p-groups; Examples to include symmetric and alternating groups, $GL_n({\Bbb Z}/p)$, $SL_n({\BbbZ}/p)$.

Ring Theory: Elementary notions of rings and modules; basic examples and constructions. Notions of ideals, prime ideals, maximal ideals, quotients, integral domains, ring of fractions, PID, UFD.

Linear Algebra: Vector Spaces: Basis, independence of the number of elements in a basis, direct sums, duals, double dual.

Matrices and Linear transformation: Linear map as a matrix, rank of a linear map, nullity, Eigenvalues, eigenvectors, minimal and characteristic polynomials, Cayley-Hamilton theorem, Triangulation and diagnolisation, Jordan canonical form.

Modules over Principle Ideal Domains.

Elementary notions of quadratic and hermitian forms.

Field Theory: Elementary notions of algebraic and transcendental extensions, splitting fields, structure theory of finite fields.

References: [Bhattacharya etc., Ch. 15-16], [Artin, Ch. 13]
Basic Texts
I.N. Herstein: Topics in Algebra.
D.S. Dummit and R.M. Foote: Abstract Algebra.
M. Artin: Algebra.
P.B. Bhattacharya, S.K. Jain, S. R. Nagpaul: Basic Abstract Algebra.
S. Lang: Algebra.