**Email:** dd18@math.princeton.edu

**Office:** Fine Hall, Room 509

I am currently an Instructor at Princeton University and an NSERC postdoctoral fellow. I am interested in probability and related areas. My main research interests include last passage percolation and the KPZ universality class, interacting particle systems, random sorting networks, and random polynomials. I completed my Ph.D. in 2019 at the University of Toronto under the supervision of Balint Virág.

Here is my CV.

- Dauvergne, D., Sarkar, S., and Virág, B. Three-halves variation of geodesics in the directed landscape. arXiv link.
- Dauvergne, D. Hidden invariance of last passage percolation and directed polymers. arXiv link.
- Dauvergne, D., Nica, M., and Virág, B. Uniform convergence to the Airy line ensemble. arXiv link.
- Dauvergne, D., Ortmann, J., and Virág, B. The directed landscape. arXiv link.
- Relevant talk: The Airy sheet (June 2020): The Airy sheet is the scaling limit of last passage percolation between distinct spatial locations. Its construction comprises the first half of our paper `The directed landscape'. The directed landscape itself is built from metricly composing independent Airy sheets.
- Dauvergne, D., and Virág, B. Bulk properties of the Airy line ensemble.
*To appear in Ann. Probab.*arXiv link.

- Dauvergne, D. The Archimedean limit of random sorting networks. arXiv link.
- Relevant set of slides: The Archimedean limit of random sorting networks (March 2019)
- Dauvergne, D. and Virág, B. Circular support in random sorting networks.
*Trans. Amer. Math. Soc.*arXiv link. - Angel, O., Dauvergne, D., Holroyd, A.E., and Virág, B. The local limit of random sorting networks.
*Ann. Inst. H. Poincaré Probab. Statist.*arXiv link.

- Dauvergne, D. A necessary and sufficient condition for global convergence of the zeros of random polynomials. arXiv link.
- Relevant talk: Zeros of random sums of orthogonal polynomials (August 2019)
- Bloom, T. and Dauvergne, D. Asymptotic zero distribution of random orthogonal polynomials.
*Ann. Probab.*arXiv link.

- 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.

I am currently co-course coordinator for MAT 104 (Calculus II) at Princeton. Previously I was a course instructor for MAT 202 (Linear Algebra with Applications).

At the University of Toronto, I taught calculus and linear algebra and worked as a teaching assistant for classes in probability, combinatorics, real and complex analysis, mathematical logic, ODEs, calculus, and linear algebra.

Which is which? A directed geodesic, its weight function, and a Brownian bridge.

A wiring diagram for the sorting network in S_{4} with swap sequence (2 3 1 2 1 3).

Selected trajectories in the rescaled wiring diagram of a random 2000-element sorting network. Observe the sine curvesâ€¦