Contact: amiteshdatta@gmail.com

I am interested in the following branches of pure mathematics and will generally answer questions in these areas:

General Topology, Finite Group Theory, Noncommutative Algebra, Commutative Algebra, Galois theory, Measure Theory, Functional Analysis, Complex Analysis, Fourier Analysis, Algebraic Geometry, Algebraic Topology, Topological K-theory, Differential Geometry, Algebraic Number Theory, Riemannian Geometry, Lie Groups and Lie Algebras, Spectral Sequences, Morse Theory and Morse Homology, Symplectic Geometry, Algebraic K-theory, Contact Geometry, Topological Quantum Field Theory

I have read, in part or completely, the following books in mathematics and recommend them all (the list is not exhaustive and is in no particular order):

*Principles of Mathematical Analysis* by Walter Rudin

*Topology: A First Course* by James Munkres

*Algebra: A Graduate Course* by Martin Isaacs

*Real and Complex Analysis* by Walter Rudin

*Linear Algebra Done Right* by Sheldon Axler

*An Introduction to Differentiable Manifolds and Riemannian Geometry* by William Boothby

*Elements of Algebraic Topology* by James Munkres

*Finite Group Theory* by Martin Isaacs

*Topics in Algebra* by I.N. Herstein

*Algebraic Number Fields* by Gerald Janusz

*Introduction to Commutative Algebra* by Michael Atiyah and Ian Macdonald

*Algebraic Geometry: A First Course* by Joe Harris

*Algebraic Geometry* by Robin Hartshorne

*Algebraic Geometry and Arithmetic Curves* by Qing Liu

*Classical Fourier Analysis* by Loukas Grafakos

*Finite Dimensional Vector Spaces* by Paul Halmos

*Problems in Algebraic Number Theory* by Jody Esmonde and M. Ram Murty

*Analysis on Manifolds* by James Munkres

*Noncommutative Rings* by I.N. Herstein

*K-theory* by M. F. Atiyah

*Lie Groups* by Daniel Bump

*Cohomology Operations* by Norman Steenrod and David Epstein

*Riemannian Geometry* by M. P. do Carmo

*Morse Theory* by J. Milnor

*Lectures on the h-corbodism theorem* by J. Milnor

*The local structure of algebraic K-theory* by Bjorn Ian Dundas, Thomas Goodwillie, and Randy McCarthy

*Symplectic Geometry* by Ana Cannas da Silva