Tejas Iyer

Teaching

I teach master’s courses in probability at TU Berlin. Course materials are linked below.

Courses at TU Berlin

  • Winter 2026/27. Advanced Probabilistic Methods Related to Reinforcement Learning. A mathematically rigorous treatment of bandits and Markov decision processes. Lecture notes go online as the course runs, with interactive simulations.
  • Summer 2026. Branching Processes. Bienaymé–Galton–Watson processes via generating functions, martingale limits and the Kesten–Stigum theorem, spine techniques, introduction to criticality and continuum random trees.
  • Winter 2025/26. Percolation. The canonical probabilistic phase transition: from finite clusters to an infinite cluster.
  • Summer 2025. Topics in Branching Processes. Bienaymé–Galton–Watson processes and their long-run behaviour (the Kolmogorov and Yaglom limits, Kesten–Stigum and Seneta–Heyde).

Student feedback

I ask students for anonymous feedback during each course and, for oral exams, afterwards too, and I adjust the course in response. Some comments:

  • “The exam tested our understanding of the topics and not only our ability to memorise.”
  • “The course helped me find a branch of maths which is fascinating.”
  • “The quick sketches to illustrate something are really helpful.”

Supervision

  • Current. A master’s thesis on branching random walks.
  • ENS Paris–Saclay. A master’s internship on democracy in non-linear Pólya urns.
  • 2022. A bachelor’s thesis on coagulation processes, co-supervised with Elena Magnanini.

Theses

Students who have taken one of my courses are welcome to write a Bachelor’s or Master’s thesis with me until June 2027. Wolfgang König also supervises theses on these topics.

Earlier teaching

At the University of Birmingham I taught probability and statistics, differential equations, algebra and combinatorics, numerical methods and programming, and Mathematics in Industry, and worked in the mathematics support centre. Before that I taught calculus and linear algebra at the Australian National University. I am an Associate Fellow of the Higher Education Academy.