Emmanuel Kowalski

Emmanuel Kowalski is a French mathematician specializing in analytic number theory. He is a professor at the Swiss Federal Institute of Technology in Zürich (ETH Zürich) in Switzerland. Kowalski's research focuses on areas such as:

• Algebraic Number Theory: Studying the properties of numbers through algebraic methods.


• Analytic Number Theory: Applying analysis to solve problems about integers and prime numbers.


• Automorphic Forms and L-functions: Investigating complex functions that are significant in number theory and have applications in understanding prime numbers and solving equations over integers.


• Sieve Methods: Techniques used to count or estimate the number of integers that satisfy certain conditions, often related to prime numbers.


• Expander Graphs: In combinatorics and computer science, these are sparse graphs that have strong connectivity properties, with applications in network theory and computer science.

He has made significant contributions to our understanding of how algebraic and geometric methods can be applied to problems in number theory. Kowalski is also known for his work on the monodromy of families of exponential sums and their applications.

In addition to his research, Emmanuel Kowalski is an author of several mathematical texts, including:

• "The Large Sieve and its Applications": A book that delves into sieve methods and their role in analytic number theory.


• "An Introduction to the Representation Theory of Groups" (co-authored with Martin W. Liebeck): This book serves as a resource on group theory and its applications in mathematics.

Kowalski is highly regarded in the mathematical community for his deep insights and contributions to number theory.