Universität Zürich

Winterthurerstrasse 190

CH-8057 Zürich

E-Mail:

Tel.: +41 44 635 58 92

Fax: +41 44 635 57 06

Büro: Y27K08

Institut für Mathematik

Universität Zürich

Winterthurerstrasse 190

CH-8057 Zürich

E-Mail:

Tel.: +41 44 635 58 92

Fax: +41 44 635 57 06

Büro: Y27K08

Universität Zürich

Winterthurerstrasse 190

CH-8057 Zürich

E-Mail:

Tel.: +41 44 635 58 92

Fax: +41 44 635 57 06

Büro: Y27K08

Arbeitsgruppe:

I am an 18 years old PhD student at the Institute of Mathematics of the University of Zürich (I-MATH) within the Zürich Graduate School in Mathematics. My doctoral advisor is Prof. Dr. Ashkan Nikeghbali, who has a chair in Financial Mathematics at I-MATH.

- I finished the final high school exams ("Matura") in mathematics at the age of 9 years at the Gymnasium Immensee.
- My Master's degree at the University of Zürich was obtained under the supervision of Prof. Dr. Camillo De Lellis.
- In parallel to my doctoral studies in Zürich, I am also doing a Master's in
*Calcul Haute Performance*at the University of Perpignan in the South of France.

My personal webpage | https://www.maximilianjanisch.com |

Wikipedia article about me (german) | https://de.wikipedia.org/wiki/Maximilian_Janisch |

My Google Scholar page | https://scholar.google.com/citations?user=gXjciQIAAAAJ |

User Account at the Encyclopedia of Mathematics | https://encyclopediaofmath.org/wiki/User:Maximilian_Janisch |

I finished my final high school exams in mathematics ("Matura") at the age of 9 years at the Gymnasium Immensee.

The dean of the Faculty of Science of the University of Zürich at the time was Prof. Dr. Michael Hengartner. He and the formerly director of the Institute of mathematics, Prof. Dr. Thomas Kappeler, initiated a special study programme for me within the Junior Euler Society (named after the great Swiss mathematician Leonhard Euler).

The study programme was led by the Italian mathematician Prof. Dr. Camillo De Lellis, who later became the advisor of my master's thesis.

In the summer of 2018, I finished all high school exams at the age of 15 and got matriculated as a regular student in mathematics at the University of Zürich.

I finished my Bachelor's in mathematics at the University of Zürich in August of 2020.

My Master's thesis at the University of Zürich was written under the supervision of De Lellis. The topic was non-uniqueness of weak solutions to the vorticity formulation of the Euler equations.

My thesis is an elaboration of this publication, written by Dallas Albritton, Elia Brué, Maria Colombo, Camillo De Lellis, Vikram Giri, Hyunju Kwon and myself.

Starting December 2021, I am a PhD student at the University of Zürich under the supervision of Prof. Dr. Ashkan Nikeghbali.

In September 2015, I was accepted by the french University of Perpignan into the second year of mathematics. (A regular matriculation in Switzerland was not possible at the time for legal reasons.) I followed all of their mathematics courses and obtained my *Licence* (frencch equivalent of the Bachelor) in the beginning of 2020.

I will finish my Master's in *Calcul Haute Performance* at the University of Perpignan presumably at the end of 2022.

My main interests within mathematics are probability theory (in particular with respect to theoretical machine learning) and partial differential equations (in particular with respect to fluid dynamics).

- Dallas Albritton, Elia Brué, Maria Colombo, Camillo De Lellis, Vikram Giri, Maximilian Janisch, Hyunju Kwon:
*Instability and nonuniqueness for the Euler equations in vorticity form, after M. Vishik*. arXiv preprint, December 2021. https://arxiv.org/abs/2112.04943. - Maximilian Janisch:
*Kolmogoroff’s Strong Law of Large Numbers holds for pairwise uncorrelated random variables. Theory of Probability and its Applications*, August 2021, Volume 66, Issue 2, Pages 263–275. https://doi.org/10.1137/S0040585X97T990381. Available online at https://arxiv.org/abs/2005.03967.

- Also published in the Russian edition of said journal:

Maximilian Janisch:*Kolmogorov**’s strong law of large numbers holds for pairwise uncorrelated random variables.*Teoriya Veroyatnostei i ee Primeneniya, November 2020, Volume 66, Issue 2, Pages 327-341. https://doi.org/10.4213/tvp5459.

- Also published in the Russian edition of said journal:

Übungen An introduction to high dimensional probability and statistics

Übungen An introduction to high dimensional probability and statisticsII

An introduction to high dimensional probability and statistics

Übungen An introduction to high dimensional probability and statistics