CV

Education

• Ph.D. in Mathematics, University of Oulu, 2025 (expected)
  • Advisors: Ville Suomala, Antti Käenmäki
• M.S. in Mathematics, University of Oulu, 2021
  • Master’s thesis: On multifractal analysis and local dimensions of measures
• B.S in Mathematics, University of Oulu, 2020
  • Bachelor’s thesis: Normal numbers

Work experience

• May 2021 - Aug 2021: Trainee
  • Nokia
  • Duties included: Test automation development using Python. Maintenance of existing web APIs, and data parsing, formatting and visualization using the pandas library for python.
  • Tools and technologies: Python, Django, Git, Linux, Docker, ElasticSearch
• Sep 2020 - Mar 2021: Teaching Assistant
  • University of Oulu
  • Duties included: Teaching exercise classes in courses Introduction to Mathematical Deduction, Functions and Limits, and Integral.
• Jun 2020 - Aug 2020: University Trainee
  • University of Oulu
  • Duties included: I participated in in independent research in the Fractal Geometry Research Group at the Department of Mathematical Sciences. The results are published.
  • Suprevisor: Ville Suomala
• Apr 2017 - June 2017, May 2019 - June 2019: Substitute Teacher
  • Oulainen High School
  • Duties included: Preparing and teaching lessons in mathematics and physics. In 2017 I taught three full courses in trigonometric functions and integration, thermodynamics, and electromagnetism, and in 2019 I taught three weeks of lessons in thermodynamics and geometry. I also prepared and graded the exams.

Teaching

I have been a teaching assistant in the following courses at the University of Oulu during my undergraduate and doctoral studies.

• Differential Calculus (800101P), Fall 2023
• Functions and Approximation (802102P), Spring 2023
• Algebraic structures (802355A), Fall 2021, Fall 2022
• Linear algebra (802320A), Spring 2022
• Integral (800318A), Spring 2021
• Introduction to Mathematical Deduction (802151P), Fall 2020
• Functions and Limits (800119P), Fall 2020
• Matrices and Optimization for Economists (802160P), Spring 2019
• Mathematics for Economists (802158P), Spring 2019

Grants

Vilho, Yrjö and Kalle Väisälä foundation 2023

Travel grant for a research visit to the University of St. Andrews (4 400€)

Magnus Ehrnooth foundation 2023

Doctoral training grant (48 000€)

Magnus Ehrnooth foundation 2022

Doctoral training grant (24 000€)

UniOGS travel grant 2022

A travel grant (1000€) for the conference Fractals and Related Fields IV.

Publications

Level sets of prevalent Hölder functions

R. Anttila, B. Bárány, A. Käenmäki (2024). Level sets of prevalent Hölder functions. Preprint, available at: https://arxiv.org/abs/2402.08520

Multifractal analysis for the pointwise Assouad dimension of self-similar measures

R. Anttila, V. Suomala (2024). Multifractal analysis for the pointwise Assouad dimension of self-similar measures. Preprint, available at: https://arxiv.org/abs/2401.03953

Slices of the Takagi function

R. Anttila, B. Bárány, A. Käenmäki, (2023). Slices of the Takagi function. Ergod. Theory Dyn. Syst., Published online, 1-32

Pointwise Assouad dimension for measures

R. Anttila, (2022). Pointwise Assouad dimension of measures. Proc. R. Soc. Edinb. Sect. A, Math., 153 (2022), no. 6, 2053-2078

Local entropy and Lq-dimensions of measures in doubling metric spaces

R. Anttila (2020). Local Entropy and Lq-Dimensions of Measures in Doubling Metric Spaces. The PUMP Journal of Undergraduate Research, 3, 226-243.