Homepage: https://amiteshdatta.wixsite.com/amiteshdatta
New Paper! (a novel connection between algebraic number theory and lowdimensional topology): https://arxiv.org/abs/2204.13660
Princeton Math Faculty Page: https://www.math.princeton.edu/directory/amiteshdatta
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 Ktheory, Differential Geometry, Algebraic Number Theory, Riemannian Geometry, Lie Groups and Lie Algebras, Spectral Sequences, Morse Theory and Morse Homology, Symplectic Geometry, Algebraic Ktheory, 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
Ktheory 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 hcorbodism theorem by J. Milnor
The local structure of algebraic Ktheory by Bjorn Ian Dundas, Thomas Goodwillie, and Randy McCarthy
Symplectic Geometry by Ana Cannas da Silva

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