Dr Lukas Trottner BSc MSc PhD

Dr Lukas Trottner

School of Mathematics
Assistant Professor in Statistics

Contact details

Email
l.trottner@bham.ac.uk
Address
School of Mathematics
Watson Building
University 麻豆精选
Edgbaston
Birmingham
B15 2TT
UK

Dr Trottner is a statistician working at the interface of mathematical statistics, machine learning and stochastic processes. His current research interests include statistics for SPDEs, data-driven optimal control and statistical aspects of deep generative models, where he focuses on the theoretical convergence analysis of the developed methods.

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Qualifications

  • PhD in Mathematics (Dr. rer. nat.), University of Mannheim, Germany, 2021.
  • MSc in Mathematics in Business and Economics, University of Mannheim, Germany, 2018.
  • BSc in Mathematics in Business and Economics, University of Mannheim, Germany, 2015.

Biography

Lukas's PhD research was on exploiting stability properties of Markov processes for the development and statistical analysis of nonparametric methods to estimate their characteristics. After completing his PhD at University of Mannheim in September 2021, he joined Aarhus University as a Postdoc. In September 2024 he joined University 麻豆精选 as an Assistant Professor in Statistics.

Teaching

Semester 1

LM Foundations of Statistical Inference

Semester 2

LM Bayesian Inference and Computation

Postgraduate supervision

Dr Trottner is happy to be contacted by motivated students interested in a PhD in mathematical statistics and machine learning.

Research

Research themes

  • Generative models
  • Data-driven stochastic optimal control
  • Concentration of measure
  • Lévy processes and Markov additive processes

Publications

Recent publications

Article

Trottner, L 2024, '', Information and Inference: A Journal of the IMA, vol. 13, no. 2, iaae011.

Christensen, S, Holk Thomsen, A & Trottner, L 2024, '', SIAM/ASA Journal on Uncertainty Quantification, vol. 12, no. 4, pp. 1240 - 1272.

Christensen, S, Strauch, C & Trottner, L 2024, '', Bernoulli, vol. 30, no. 3, pp. 2074-2101.

D枚ring, L, Trottner, L & Watson, AR 2024, '', Transactions of the American Mathematical Society, vol. 377, no. 11, pp. 7699-7752.

D枚ring, L, Savov, M, Trottner, L & Watson, AR 2024, '', Bulletin of the London Mathematical Society, vol. 56, no. 9, pp. 2951-2968.

Trottner, L, Aeckerle-Willems, C & Strauch, C 2023, '', Journal of Machine Learning Research, vol. 24, 106. <>

D枚ring, L & Trottner, L 2023, '', Annals of Applied Probability, vol. 33, no. 6B, pp. 5413-5458.

Dexheimer, N, Strauch, C & Trottner, L 2022, '', Annales de l'institut Henri Poincare (B) Probability and Statistics, vol. 58, no. 4, pp. 2029-2064.