Duncan Dauvergne

Picture not found I am a fourth year math Ph.D. student at the University of Toronto working under the supervision of Professor Balint Virag. I am interested in various aspects of probability, and currently my research is focussed on last passage percolation, random sorting networks, and random orthogonal polynomials.

You can contact me at duncan.dauvergne@mail.utoronto.ca. Here is a link to my CV.

Publications and Preprints

Last passage percolation

Dauvergne, D, Ortmann, J., and Virag, B. The directed landscape. arXiv link.

Dauvergne, D, and Virag, B. Basic properties of the Airy line ensemble. arXiv link.

Random sorting networks

Dauvergne, D. The Archimedean limit of random sorting networks. arXiv link.

Dauvergne, D. and Virag, B. Circular support in random sorting networks. To appear in Trans. Amer. Math. Soc. arXiv link.

Angel, O., Dauvergne, D., Holroyd, A.E., and Virag, B. The local limit of random sorting networks. Ann. Inst. H. Poincaré Probab. Statist. arXiv link.

Random polynomials

Dauvergne, D. A necessary and sufficient condition for global convergence of the complex zeros of random orthogonal polynomials. arXiv link.

Bloom, T. and Dauvergne, D. Asymptotic zero distribution of random orthogonal polynomials. To appear in Ann. Probab. arXiv link.

Other research

Dauvergne, D. Not every transitively D-space is D. Topology Appl. Link.

Dauvergne, D. and Edelstein-Keshet, L. Application of quasi-steady state methods to molecular motor transport on microtubules in fungal hyphae. J. Theoret. Biol. Link.

Teaching

I am currently TAing graduate probability (MAT1600/MAT1601). In the past, I have been a course instructor and coordinator for MAT 137, and a course instructor for MAT 223. I have also been a teaching assistant at U of T for MAT475, MAT 344, MAT 337, MAT 334, MAT309, MAT292, MAT 223, MAT 235, MAT 237, MAT 135, and MAT 136.

A few pictures

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A wiring diagram for the sorting network in S4 with swap sequence (2 3 1 2 1 3).

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Selected trajectories in the rescaled wiring diagram of a random 2000-element sorting network. Observe the sine curves…