Mi Hu

Academic interests

I am interested in Complex Dynamics in one dimension and higher dimensions.

Background

I graduated with my PhD in Mathematics from the University of Parma, Italy in 2024. 

The title of my PhD thesis is Complex Dynamics Inside Fatou Sets. 

My PhD advisor is Prof. John Erik Fornæss .

Here are the research results from my thesis: 

1. M. Hu : Interior Dynamics of Fatou Sets . Annali di Matematica Pura ed Applicata (1923 -), 202, 2903–2914, 2023. 
2. M. Hu : Dynamics inside Fatou Sets in Higher Dimensions , accepted by Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2023.   https://doi.org/10.48550/arXiv.2301.02712
3. JE Fornæss, M. Hu : Orbits inside Fatou sets , preprint, 2023.   https://doi.org/10.48550/arXiv.2309.08334
4. M. Hu : Dynamics inside Parabolic Basins , preprint, 2022.   https://doi.org/10.48550/arXiv.2208.03756 

Current work

I started my work as a researcher in the project " Dynamic systems, several complex variables and algebraic geometry ", led by Prof. Tuyen Trung Truong at the Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Oslo, 1 August 2023. 

We perform optimization solutions and solve systems of equations with the improvement of Newton's methods that combine theoretical analysis and Python programming techniques. So far we have obtained some results in the following two articles:

1. JE Fornæss,   M. Hu , TT Truong and T. Watanabe: Backtracking New Q-Newton's Method, Newton's Flow, Voronoi's Diagram and Stochastic Root finding , Complex Analysis and Operator Theory, 18 , 112-162, 2024.
2. JE Fornæss, M. Hu , TT Truong and T. Watanabe: Backtracking New Q-Newton's Method, Schröder's Theorem and Linear Conjugacy , preprint, 2023.   https://arxiv.org/abs/2312.12166

Lectures at conferences

1. KAUS, 3.-5. May. 2024, Östanskär, Sweden. 
2. UiO seminar, 8 February 2024, Oslo, Norway.  
3. Topics in complex dynamics, 19.–23. June 2023, Barcelona, ​​Spain.   
4. Topics in complex dynamics, 19.–23. April 2021, Barcelona, ​​Spain.  
5. Let's Face Complexity: New Bridges Between Physical and Social Sciences, Villa del Grumello, 4-8. September 2017, Como, Italy.

Participation in conferences  

1. Recent developments on the d-bar equation, complex dynamics and holomorphic mappings, 7.-9. December 2023, Oslo, Norway. 
2. Program for the national mathematics meeting, 31 August - 2 September. 2022, Tromsø, Norway.
3. Geometric Methods of Complex Analysis (hybrid meeting), Oberwolfach, 16–22 May 2021, Germany. (Participant and video conference assistant).