Ellen Krusell

I'm a 4th year PhD student at the department of mathematics at KTH Royal Institute of Technology under the supervision of Professor Fredrik Viklund. My research interests lie in complex analysis, probability, and mathematical physics. I'm a part of the Random Matrices and Random Geometry research group at KTH.

Email: ekrusell (at) kth (dot) se

Papers

  1. The ρ-Loewner Energy: Large Deviations, Minimizers, and Alternative Descriptions. (2024) [pdf] [arXiv]
  2. Commutation relations for two-sided radial SLE. With Yilin Wang and Hao Wu. (2024) [pdf] [arXiv]
  3. Polyakov-Alvarez Formula for Curvilinear Polygonal Domains with Slits. (2025) [pdf] [arXiv]

Past Events

Some Figures

Whole-plane SLE0(ρ) curves started at 0 with force point 0 and reference point ∞. From left to right ρ= -16, -8, -6, -5, -4, -3.5, -3, and -2.5. The origin is marked by a black dot, and in the three right-most figures, the flow-line continuation of the SLE0(ρ) , after self-intersection, is shown in gray. In particular, the SLE0(-6) is a circle through 0 and SLE0(-4) is a cardioid with cusp at 0. (From paper 1)

Whole-plane SLE0(ρ) curves started at 0 with force point 0 and reference point ∞. On the top row, from left to right ρ= -16, -8, -6, -5, and on the bottom row ρ= -4, -3.5, -3, -2.5. The origin is marked by a black dot. In the three right-most figures of the bottom row, the flow-line continuation of the SLE0(ρ) , after self-intersection, is shown in gray. In particular, the SLE0(-6) is a circle through 0 and SLE0(-4) is a cardioid with cusp at 0. (From paper 1)

Minimizers of (I(γ) - λ crad(𝔻\ γ)), λ>0, over all chords connecting two prescribed boundary points. Here I(γ) is the chordal Loewner energy and crad(D) is the conformal radius of the domain D with respect to 0. On the left λ is varied, with higher values corresponding to the outermost orange curves. On the right λ=10 for all curves. (From paper 2)