Personal website

PATRICIA ALONSO RUIZ ☰

It is impossible to be a mathematician without being a poet in soul

- Sofia Kovalevskaya

Teaching this semester...

Maßtheorie.
Bridging course: measure theory.
Fractal geometry and stochastics.

Lecture notes

Heat kernels and Dirichlet forms, mini-course at Universidad Complutense Madrid, January 2024, pdf.
Semigroups, Markov processes and Dirichlet forms, Texas A&M, Spring 2023, pdf.

Videos

Law of total probability, video
Conditional probability - part 1, video
Conditional probability - part 2, video
Conditional probability - part 3, video
Expectation continuous random variables, video

Previously taught

Elementare Wahrscheinlichkeitstheorie und Statistik, WS 24/25.
MATH 411 - Probability, Fall 2019, Spring 2020, Fall 2023.
MATH 485 - The art of (explaining) math, Spring 2023.
MATH 663 - Semigroups, Markov processes and Dirichlet forms, Spring 2023.
MATH 425 - The mathematics of contingent claims, Fall 2020, Fall 2022.
MATH 304 - Linear Algebra, Spring 2022.
MATH 606 - Theory of Probability I, Spring 2021.