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Adrian Dawid

PhD Student in Mathematics

Welcome to my webpage! I am a third-year PhD student in mathematics at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. My PhD supervisor is Ivan Smith. At Cambridge, I am a member of Gonville & Caius College.

 arXiv // email // github // linkedin

Background

Before coming to Cambridge, I completed a Masters's degree in mathematics at ETH Zurich. There I wrote my Master's thesis "Floer Barcode Growth in the Component of a Dehn-Seidel Twist" under the supervision of Paul Biran. Prior to that I obtained a Bachelor's degree in mathematics from Humboldt University Berlin. As part of the degree, I wrote a Bachelor's thesis on the topic "A Correspondence Between the Morse Index and the Conley-Zehnder Index for Geodesics" under the supervision of Chris Wendl.

Research Interests

My primary mathematical interests are the following topics:

I am particularly interested in the interaction between symplectic topology and (Hamiltonian) dynamics.

Preprints

  • Random Hamiltonians I: Probability measures and random walks on the Hamiltonian diffeomorphism group, 2025 // arXiv // pdf // additional figures

Publications

  • Hofer geometry of A3A_3-configurations, Journal of Symplectic Geometry 23 (2025), no. 6, 1235–1286 // arXiv // journal

Talks

Here is a list of talks I have given outside of Cambridge. The talks I have given at Cambridge can be found here.