PhD position in noncommutative geometry and singular foliations
Explore the mathematical frontiers of singular foliations with noncommutative geometry techniques. Join a collaborative team to develop innovative invariants and shape your own research directions under expert supervision.
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Project Description
Project Overview
The PhD project focuses on developing novel invariants of singular foliations, structures that play an important role in contemporary mathematics. Employing methods from noncommutative geometry, groupoids, and analysis on manifolds, the research aims to explore these complex mathematical objects deeply.
What You Will Do
As a member of a research team under Dr. Hessel Posthuma, the candidate will initially work on defined subprojects to build expertise and research skills. They will collaborate closely with another PhD student and Dr. Peter Hochs at Radboud University Nijmegen. Responsibilities include conducting innovative research, publishing findings, presenting at international conferences, and participating in seminars.
Expected Outcomes
The study aims to provide new mathematical invariants that enrich the theory of singular foliations and contribute to broader areas such as noncommutative geometry. The candidate will complete and defend a PhD thesis based on original research over four years.
Why This Matters
Singular foliations are increasingly significant in many fundamental mathematical disciplines. Developing new invariants will advance mathematical knowledge and may impact related scientific fields where geometry and analysis are relevant.
Entry Requirements
How to Apply
Eligibility
Supervisor Profile
Dr. Hessel Posthuma is a mathematician specializing in noncommutative geometry and its applications to singular foliations and groupoids. His work often bridges algebra, geometry, and analysis, contributing to foundational areas in mathematics. He leads research projects within the Korteweg-de Vries Institute and collaborates internationally, fostering a dynamic research environment for PhD candidates.