Frederik Overgaard Nielsen
Frederik Overgaard Nielsen
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PhD Student in Mathematics at Aarhus University
PhD Student in Mathematics at Aarhus University
Interests in: Functional Analysis, Operator Algebras, Probability Theory and Metric Measure Spaces.
Interests in: Functional Analysis, Operator Algebras, Probability Theory and Metric Measure Spaces.
Bachelor's degree in Mathematics from Aarhus University (2025), Talent Programme graduate.
Bachelor's degree in Mathematics from Aarhus University (2025), Talent Programme graduate.
Bachelor’s project: Wasserstein Distance and Gradient Estimates of Markov Kernels: A Duality Approach in Extended Polish Spaces. Supervised by Fabrice Baudoin.
Bachelor’s project: Wasserstein Distance and Gradient Estimates of Markov Kernels: A Duality Approach in Extended Polish Spaces. Supervised by Fabrice Baudoin.
Below you’ll find selected projects, assignments, and a list of courses and self-study work.
Below you’ll find selected projects, assignments, and a list of courses and self-study work.
Coursework, projects and self-study work
Coursework, projects and self-study work
Spring 2026: Harmonic Analysis, Dirichlet forms, Algebraic Curves, Chen Iterated Integrals and Rational Homotopy, Homological Algebra
+ Independent project: "Dirichlet forms on Cheeger spaces - Limits of Korevaar-Schoen Energies", supervised by Fabrice Baudoin
Fall 2025 (Exchange semester at TUM): Concentration of Measure, Geometry of Finite Dimensional Normed Spaces, Stochastic Dynamics, Optimal Transport, Probability Theory.
Also followed Stochastic Calculus, Differential and Riemannian Geometry at Aarhus university for August and September.
Spring 2026: Harmonic Analysis, Dirichlet forms, Algebraic Curves, Chen Iterated Integrals and Rational Homotopy, Homological Algebra
+ Independent project: "Dirichlet forms on Cheeger spaces - Limits of Korevaar-Schoen Energies", supervised by Fabrice Baudoin
Fall 2025 (Exchange semester at TUM): Concentration of Measure, Geometry of Finite Dimensional Normed Spaces, Stochastic Dynamics, Optimal Transport, Probability Theory.
Also followed Stochastic Calculus, Differential and Riemannian Geometry at Aarhus university for August and September.
Spring 2025: Bachelor's project, Advanced Analysis (topics in functional analysis and operator algebras), Computability and Logic.
Talent project: Introduction to Brownian Motion on Manifolds (supervised by Fabrice Baudoin).
Spring 2025: Bachelor's project, Advanced Analysis (topics in functional analysis and operator algebras), Computability and Logic.
Talent project: Introduction to Brownian Motion on Manifolds (supervised by Fabrice Baudoin).
Fall 2024: Advanced Algebra, Machine Learning, Algorithms and Data Structures.
Talent project: Continued Fractions and Ergodic Theory (Supervised by Simon Kristensen).
Fall 2024: Advanced Algebra, Machine Learning, Algorithms and Data Structures.
Talent project: Continued Fractions and Ergodic Theory (Supervised by Simon Kristensen).
Spring 2024: Geometry (of surfaces), Complex Analysis, Differential Equations, Introduction to Programming.
Talent project: Integral Transformations (Supervised by Zakarias Sjöström Dyrefelt).
Self-study: Advanced Probability Theory (after the book by Steen Thorbjørnsen)
Fall 2023: Measure and Integration Theory, Algebra, Introduction to Geometry and Topology, Science Studies.
Talent Project: L^p, L^q duality (Supervised by Erik Skibsted).
Spring 2023: Linear Algebra, Analysis 2, Mathematical Statistics.
Talent project: Polyhedral Combinatorics (Supervised by Anders Nedergaard Jensen).
Spring 2024: Geometry (of surfaces), Complex Analysis, Differential Equations, Introduction to Programming.
Talent project: Integral Transformations (Supervised by Zakarias Sjöström Dyrefelt).
Self-study: Advanced Probability Theory (after the book by Steen Thorbjørnsen)
Fall 2023: Measure and Integration Theory, Algebra, Introduction to Geometry and Topology, Science Studies.
Talent Project: L^p, L^q duality (Supervised by Erik Skibsted).
Spring 2023: Linear Algebra, Analysis 2, Mathematical Statistics.
Talent project: Polyhedral Combinatorics (Supervised by Anders Nedergaard Jensen).
Fall 2022: Introductory Algebra 1 and 2, Analysis 1, Introduction to Probability theory and Statistics.
Talent project: Non-Euclidean Geometry (Supervised by Cristiano Spotti).
Fall 2022: Introductory Algebra 1 and 2, Analysis 1, Introduction to Probability theory and Statistics.
Talent project: Non-Euclidean Geometry (Supervised by Cristiano Spotti).
Selected Projects and Assignments
Selected Projects and Assignments
Bachelors_Project.pdfBachelor's Project: Wasserstein Distance and Gradient Estimates of Markov Kernels: A Duality Approach in Extended Polish Spaces.
Supervised by Fabrice Baudoin.
Continued_Fractions_and_Geodesic_Flow.pdfTalent project in Continued Fractions and Ergodic Theory.
Supervised by Simon Kristensen.
main.pdfProject course, Spring 2026.:Dirichlet forms on Cheeger Spaces - Limits of Korevaar-Schoen Energies
Supervised by Fabrice Baudoin
Advanced_Algebra.pdfAdvanced Algebra Exam Assignment
Advanced_Analysis.pdfAdvanced Analysis Exam Assignment
Phone: +45 42672708 - E-mail: frederikon62@gmail.com
Phone: +45 42672708 - E-mail: frederikon62@gmail.com
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