Sascha Troscheit

Short Bio: I am a MSCA research fellow at the University of Oulu, and holder of the Horizons Europe Marie Sklodowska-Curie Action European Fellowship (MSCA-EF) "Dimension and Dynamics" that investigates the interplay between dimension theory, dynamical systems, embeddability, as well as probability theory. From June 2020 to August 2022, I was senior research fellow at the University of Vienna (Austria) and PI of the FWF (Austrian Research Fund) Senior Lise Meitner Research Fellowship FWF M-2813: "Regularity and embeddability of self-similar processes". I previously held a postdoctoral positions at the University of Vienna (Jan 2019 – Jun 2020) and the University of Waterloo (May 2017 – December 2018) and programme fellowship at the Institut Mittag-Leffler in Stockholm, Sweden (November – December 2017). I completed my doctorate at the University of St Andrews (Scotland) in April 2017 under the supervision of Kenneth Falconer and Mike Todd. From February to March 2016 I was a postgraduate programme fellow at the ICERM, Brown University (USA).

Research Interests: My research focusses on random fractal geometry, branching processes, symbolic dynamics, dimension theory, and their interplay with number theory. I have worked with stochastic self-similarity, gauge functions for stochastic attractors, and study the fine structure of sets and measures. In particular, I have studied the Assouad dimensions of random processes and determined phase transitions on their small scale behaviour. Most recently, I have looked into the Brownian continuum tree and Brownian map and applied dimension theory to study quasi-symmetric embeddings. I am currently working on the connection between analytical properties of real-valued functions and their associated continuum trees.

Self-affine & overlapping IFSs Workshop 2022: From 10 May to 12 May, Thomas Jordan, Henna Koivusalo, and I hosted a workshop on "Self-affine and overlapping iterated function systems" at the University of Bristol. Click here to get to the workshop webpage.

Other Random Interests: I am an active long distance sailor (mostly single-handed) and have sailed most of the British, German, Dutch, Belgian and French Atlantic coast with several North Sea crossings. I like tinkering with electronics and command a small army of Arduinos.

Other trivia. My Erdős number is 3: Troscheit—K. Hare*—Shallit—Erdős. (* valid route with both Kathryn and Kevin Hare)
My Einstein number is 5: Troscheit—Neukirch—Kiessling—Lebowitz—Bergmann—Einstein.
My Bacon number is 4: Troscheit(—*)Lustig—Brennicke—Gampu—Bacon (*uncredited extra)
And my Sabbath number is 4: S. Troscheit (me)—S. Troscheit (my dad)—Roy Black—The Muppets—Black Sabbath (under a loose definition of musical collaboration)
which makes my Erdős-Bacon-Sabbath number 11.