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Notes

Slides from my 2026 Berlin Mathematical School Math+ Colloquium:

• Rare events in particle systems and stochastic PDEs

Slides from my minicourse at the 2026 Berlin-Oxford IRTG Summer School:

• Qualitative periodic homogenization
• Quantitative periodic and qualitative stochastic homogenization
• The variational approach to homogenization
• Toward quantitative stochastic homogenization
• An algebraic rate of homogenization

Slides from the 2025 UC Irvine workshop ``Theory and Applications of Elliptic PDE'':

• Non-equilibrium fluctuations of interacting particle systems
• The kinetic formulation of the skeleton equation
• Weak solutions of the skeleton equation
• Stochastic PDEs of fluctuating hydrodynamics type

Slides from the 2024 Bernoulli Center workshop ``New developments and challenges in SPDEs'':

• The kinetic formulation of the skeleton equation
• The weak formulation of the skeleton equation
• SPDEs of fluctuating hydrodynamics type and large deviations

Slides from my minicourse at the Konstanz Women in Mathematics Conference 2023:

• The kinetic formulation of the skeleton equation
• Non-equilibrium fluctuations, the skeleton equation, and SPDEs with conservative noise

Slides from my minicourse at the 2021 Berlin-Oxford IRTG Summer School:

• Diffusion processes in random environments and stochastic homogenization

Notes from my lecture courses at Oxford:

• Stochastic homogenization (Zoom notes)
• Stochastic differential equations