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A Course in Arithmetic

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TLDR
In this article, the theorem on arithmetic progressions modular forms is proved for finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratics forms with discriminant +-1.
Abstract
Part 1 Algebraic methods: finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratic forms with discriminant +-1. Part 2 Analytic methods: the theorem on arithmetic progressions modular forms.

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A Unifying Lattice-Based Approach for the Partitioning of Systolic Arrays via LPGS and LSGP

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Reciprocity laws and Galois representations: recent breakthroughs

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Large Scale Analytic Calculations in Quantum Field Theories

TL;DR: In this paper, the mathematical structure of zero and single scale quantities and associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories are surveyed.
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The mass of unimodular lattices

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Pinching and concordance theory

TL;DR: In this paper, it was shown that the diffeomorphism type of a Riemannian manifold is subject to a symmetry condition formulated in concordance theory and algebraic theory, and that many exotic spheres do not satisfy the condition.