Amitesh Datta's user avatar
Amitesh Datta's user avatar
Amitesh Datta's user avatar
Amitesh Datta
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About

Homepage: https://amiteshdatta.wixsite.com/amitesh-datta

New Paper! (a novel connection between algebraic number theory and low-dimensional topology): https://arxiv.org/abs/2204.13660

Princeton Math Faculty Page: https://www.math.princeton.edu/directory/amitesh-datta

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

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