Research

On:     [arXiv] [Google scholar] [MathScinet]

Publications

1. The Bernoulli clock: probabilistic and combinatorial interpretations of the Bernoulli polynomials by circular convolution. (with Jim Pitman)
   Accepted in Combinatorics, Probability and Computing. Volume 33, Issue 2, March 2024, pp. 210-237. [arxiv] [journal]
2. Tropical invariants for binary quintics and reduction types of Picard curves. (with Paul A. Helminck and Enis Kaya)
   Glasgow Mathematical Journal. Volume 66 , Issue 1, January 2024, pp. 65-87. [arxiv] [journal]
3. Lines on $p$-adic and real cubic surfaces. (with Rida Ait El Manssour, Kemal Rose and Enis Kaya)
   Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. Volume 93, September 2023, pp. 149-162. [arxiv] [journal]
4. Bolytrope orders. (with Gabriele Nebe and Mima Stanojkovski)
   International Journal of Number Theory. Volume 19, Issue 05, June 2023, pp. 973-954. [arxiv] [journal]
5. Orders and Polytropes: Matrix Algebras from Valuations. (with Marvin A. Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels)
   Beiträge zur Algebra und Geometrie 63. Volume 19, Issue 05, 2021, pp. 515-531 [arxiv] [journal]
6. Valued rank-metric codes. (with Marvin A. Hahn, Alessandro Neri and Mima Stanojkovski)
   Accepted in Journal of algebra and its applications. [arxiv][journal]
7. The Gaussian entropy map in valued fields.
   Algebraic statistics. Volume 13, Issue 1, December 2022, pp. 1-18. [arxiv] [journal]

Preprints

1. On the topology of the moduli of tropical unramified $p$-covers (with Paul A. Helminck, Felix Röhrle, Pedro Souza, and Claudia Yun)
   (submitted) [arxiv]
2. A nonarchimedean version of Kostlan's theorem. (with Antonio Lerario)
   (submitted) [arxiv]
3. Sampling from $p$-adic algebraic manifolds. (with Enis Kaya)
   (submitted) [arxiv]
4. Statistics and tropicalization of local field Gaussian measures. (with Ngoc M. Tran) [arxiv]