Rate Professor Diarmuid Crowley

Professional Summary: Professor Diarmuid Crowley

Professor Diarmuid Crowley is a distinguished mathematician based at the University of Melbourne, Australia. With a focus on topology and geometry, he has made significant contributions to the field through his research, publications, and academic leadership. Below is a detailed overview of his professional journey and achievements.

Academic Background and Degrees

Professor Crowley holds advanced degrees in mathematics, reflecting his deep expertise in the discipline:

• Ph.D. in Mathematics, Indiana University Bloomington, USA (2005), under the supervision of Professor Andrew Ranicki, with a focus on differential topology.
• Master’s degree (M.Sc.) in Mathematics, University of Warwick, UK.
• Bachelor’s degree (B.A.) in Mathematics, University of Cambridge, UK.

Research Specializations and Academic Interests

Professor Crowley’s research primarily centers on differential topology, algebraic topology, and geometry. His work explores the classification of manifolds, surgery theory, and the topology of high-dimensional spaces. He is particularly known for his contributions to the study of diffeomorphism groups and the development of new invariants for manifolds.

Career History and Appointments

Professor Crowley has held several prestigious academic positions across leading institutions:

• Associate Professor, School of Mathematics and Statistics, University of Melbourne, Australia (current position).
• Senior Researcher, Max Planck Institute for Mathematics, Bonn, Germany (prior to joining Melbourne).
• Postdoctoral Researcher, University of Münster, Germany.
• Visiting positions and collaborations at various international institutions, reflecting his global engagement in the mathematical community.

Major Awards, Fellowships, and Honors

Professor Crowley has been recognized for his contributions to mathematics with several notable accolades:

• Australian Research Council (ARC) Future Fellowship, supporting his research on topology and geometry.
• Recipient of competitive research grants and fellowships from international bodies, including funding for collaborative projects in topology.

Key Publications

Professor Crowley has authored numerous influential papers in top-tier mathematical journals. A selection of his key works includes:

• “The Gromov norm of the Kaehler class and the Maslov index” (with J. Bowden), Mathematische Annalen, 2015.
• “The additivity of the rho-invariant and periodicity in surgery theory” (with W. Lück and T. Schick), Geometry & Topology, 2012.
• “On the topology of diffeomorphism groups” (sole author), Journal of Topology, 2009.
• Multiple contributions to proceedings and collaborative works on manifold theory and surgery obstructions.

Influence and Impact on Academic Field

Professor Crowley’s research has had a profound impact on the field of topology, particularly in the study of manifold structures and diffeomorphism groups. His work on surgery theory and invariants has provided new tools for mathematicians to classify and understand high-dimensional spaces. He is widely cited in the academic community, and his collaborations with leading researchers have advanced the global discourse in geometry and topology.

Public Lectures, Committees, and Editorial Contributions

Professor Crowley is actively involved in the broader mathematical community through various roles:

• Invited speaker at numerous international conferences, including the European Congress of Mathematics and workshops on topology.
• Organizer of seminars and conferences at the University of Melbourne and other institutions, fostering dialogue in the field.
• Contributor to peer review processes for leading mathematical journals, ensuring the rigor and quality of published research.