Mathematics
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Department of Mathematics & Statistics
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Dr Markus Antoni

Office: 310a
Phone: 479-4567
Email: mantoni@maths.otago.ac.nz


Welcome to my webpage!

In my research I combine tools from stochastic, harmonic, and functional analysis to study the regularity of stochastic evolution equations. I finished my PhD at the Karlsruhe Institute of Technology (KIT) in January 2017. The title of my thesis was 'Regular random field solutions for stochastic evolution equations'.

At the University of Otago I am investigating the maximal regularity of stochastic evolution equations with memory/stochastic Volterra integral equations.

Research interests

  • Stochastic analysis
  • Probability theory in Banach spaces
  • Harmonic analysis
  • Regularity theory of stochastic partial differential equations (SPDEs), in particular maximal regularity of SPDEs in $L^p$ spaces.