References:

(1) Milnor and Stasheff: Characteristic classes

(2) Norman Steenrod: The Topology of Fibre Bundles

(3) I. H. Madsen, J. Tornehave: From Calculus to Cohomology

Homework

Reference online Milne's notes

Homework

(1) M. Artin, Algebra.

(2) D.S. Dummit and R.M. Foote, Abstract Algebra, John Wiley.

(3) K. Hoffman and R. Kunze, Linear Algebra, Prentice-Hall of India (1998).

Homework

Important Resources

Numerical Methods with MATLAB

GNU Octave Wiki

Tool box: Some pre-written codes

Some useful Exercises

Homework

(1) J.P. Serre: Linear representations of finite groups

(2) W. Fulton and J. Harris: Representation Theory, Part I

BMath Syllabus

MMath Syllabus

Homework

(1) Undergraduate commutative algebra --Miles Reid

(2) Introduction to commutative algebra --Atiyah and Macdonald

(3) Undergraduate Algebraic Geometry --Miles Reid

(4) Basic algebraic geometry --Shafarevich

(5) Algebraic Geometry --Joe Harris

Syllabus

Homework

(1) J.P. Serre: Linear representations of finite groups

(2) W. Fulton and J. Harris: Representation Theory, Part I

Syllabus

Homework

(1) Undergraduate commutative algebra --Miles Reid

(2) Introduction to commutative algebra --Atiyah and Macdonald

(3) Undergraduate Algebraic Geometry --Miles Reid

(4) Basic algebraic geometry --Shafarevich

(5) Algebraic Geometry --Joe Harris

Syllabus

Homework

(1) D.S. Dummit and R.M. Foote, Abstract Algebra, John Wiley (Asian reprint 2003).

(2) M. Artin, Algebra.

(3) N. Jacobson, Basic Algebra Vol. I, W.H. Freeman and Co (1985).

Syllabus

Homework

(1) J.R. Munkres, Topology.

(2) J. Dugundji, Topology.

Syllabus

Homework

(1) M. Artin, Algebra.

(2) D.S. Dummit and R.M. Foote, Abstract Algebra, John Wiley.

(3) S. Lang, Algebra, GTM (211), Springer (Indian reprint 2002).

(4) K. Hoffman and R. Kunze, Linear Algebra, Prentice-Hall of India (1998).

Syllabus

Homework

(1) M. Artin, Algebra.

(2) A.R. Rao and P. Bhimasankaram, Linear Algebra.

Syllabus

Homework

(1) D.S. Dummit and R.M. Foote, Abstract Algebra, John Wiley (Asian reprint 2003).

(2) M. Artin, Algebra.

(3) N. Jacobson, Basic Algebra Vol. I, W.H. Freeman and Co (1985).

Syllabus

Homework

Reference online Milne's notes

Homework

Homework

Preliminary Homework

(1) Algebraic Number Theory -- G.J. Janusz

(2) Algebraic Number Theory -- Stewart and Tall

(3) Algebraic Number theory -- J. Milnes notes

Syllabus

Homework

(1) Introduction to commutative algebra --Atiyah and Macdonald

(2) Commutative Algebra with a view towards Algebraic Geometry -- David Eisenbud

(3) Undergraduate Algebraic Geometry --Miles Reid

Syllabus

Homework

Important Resources

Numerical Methods with MATLAB

GNU Octave Wiki

Tool box: Some pre-written codes

Some useful Exercises

Extra homework

Homework

Practise problems

(1) Introduction to commutative algebra --Atiyah and Macdonald

(2) Commutative algebra --Matsmura

(3) Algebraic Geometry --Hartshorne

(4) Basic algebraic geometry --Shafarevich

(5) Algebraic Geometry –-Qing Liu

Homework

Homework

Preliminary Homework

Practise problems

(1) Undergraduate commutative algebra --Miles Reid

(2) Introduction to commutative algebra --Atiyah and Macdonald

(3) Undergraduate Algebraic Geometry --Miles Reid

(4) Basic algebraic geometry --Shafarevich

(5) Algebraic Geometry –-Joe Harris

Syllabus

Homework

Homework

Preliminary Homework

Practise problems

(1) Undergraduate commutative algebra --Miles Reid

(2) Introduction to commutative algebra --Atiyah and Macdonald

(3) Undergraduate Algebraic Geometry --Miles Reid

(4) Basic algebraic geometry --Shafarevich

(5) Algebraic Geometry –-Joe Harris

Syllabus

Homework

(1)Forster

(2)Gunning

(3)Narasimhan

Homework for Math 418H

Homework for Math 419H

Homework for Math 309

Worksheet

Notes

Homework for Math 310

The supplemental exercises and supplemental material that are part of some of the assignments can be obtained by clicking below.