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Carsten Peterson

Email: clhpeterson1870 at gmail dot com

About me

I am a postdoc at Institut de Mathématiques de Jussieu - Paris Rive Gauche at Sorbonne University working with Farrell Brumley in the Automorphic Forms group and funded by the Cofund MathInGreaterParis fellowship. Previously I was a postdoc at Paderborn University in the Spectral Analysis group of Tobias Weich as part of the Collaborative Research Center on Integral Structures in Geometry and Representation Theory (specifically projects B3 and B4). I graduated in Spring 2023 from University of Michigan where my advisor was Ralf Spatzier.

My research interests center around geometry and analysis on symmetric spaces and buildings, as well as their quotients by discrete subgroups. I like to use tools from many areas including representation theory, metric geometry, homogeneous dynamics, spectral theory, and polytopal geometry. One of my main research interests is higher rank quantum (unique) ergodicity.

Preprints

  1. C. Peterson, A degenerate version of Brion's formula. 41 pages.
  2. C. Peterson, Quantum ergodicity on the Bruhat-Tits building for $\text{PGL}(3, F)$ in the Benjamini-Schramm limit. 71 pages.

Publications

  1. K. Cordwell, M. Hlavacek, C. Huynh, S. J. Miller, C. Peterson, and Y. N. T. Vu, Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions (arxiv version). Res. Number Theory (2018) 4: 43.
  2. S. J. Miller, C. Peterson, C. Sprunger, and R. van Peski, The bidirectional ballot polytope (arxiv version). Integers 18 (2018), #A81.
  3. S. J. Miller and C. Peterson, A geometric perspective on the MSTD question (arxiv version). Discrete Comput. Geom. 62, 832-855 (2019).

Other

Here is my CV.

Here are slides from a talk that I gave at Northwestern University RTG Dynamics Seminar.

Here is a recording of a virtual talk I gave at UC San Diego Group Actions Seminar.

Here is a poster that I presented at the conference "Bridging the physics and mathematics of quantum many-body chaos" at University of Helsinki.

Here is a recording of a talk I gave to an audience of physics graduate students.