Some highlights of Harald Niederreiter's work

TL;DR

This paper provides a biography of Harald Niederreiter, highlighting his significant contributions to uniform distribution, algebraic curves, polynomials, and quasi-Monte Carlo methods, along with their applications.

Contribution

It summarizes key aspects of Niederreiter's work and its impact across multiple fields such as numerical integration, coding theory, and cryptography.

Findings

Advances in uniform distribution theory

Development of algebraic curve applications

Innovations in quasi-Monte Carlo methods

Abstract

In this paper we give a short biography of Harald Niederreiter and we spotlight some cornerstones from his wide-ranging work. We focus on his results on uniform distribution, algebraic curves, polynomials and quasi-Monte Carlo methods. In the flavor of Harald's work we also mention some applications including numerical integration, coding theory and cryptography.