Sascha Troscheit

Short Bio: I am a senior research fellow at the Universität Wien (University of Vienna, Austria) and recipient of the FWF (Austrian Research Fund) Senior Lise Meitner Research Fellowship FWF M-2813, which runs from June 2020 to June 2022. My project is entitled "Regularity and embeddability of self-similar processes" and studies the interplay of dimension theory, fractal geometry, and stochastics.
Before, I was a postdoctoral research fellow at the University of Vienna (Jan 2019 - Jun 2020) and a postdoctoral fellow at the University of Waterloo (Canada) from May 2017 to December 2018. From November to December 2017, I was additionally a programme fellow at the Institut Mittag-Leffler in Stockholm (Sweden). 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.

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 am a radio amateur with full UK license and am a SCUBA dive instructor and keen technical diver.

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.
And my Bacon number is 4*: Troscheit—Lustig—Brennicke—Gampu—Bacon (* sadly uncredited)