TopMath – Mathematics with Integrated Doctorate Program
The Elite Graduate Program “TopMath – Mathematics with Integrated Doctorate Program“ enables notably talented students to learn independently, to work on their specific mathematical interests, and to further their abilities in a research-orientated environment from the start of their Masters’ studies. Students with excellent results start working on their PhD thesis before the end of their first master’s year, and attain their PhD in mathematics within just 4 years of doing their bachelor qualification.
|Degree||Master of Science, Dr. rer. nat.|
|Duration of study||Four semesters|
|Place of study||Munich, Augsburg|
|Admission requirements||Bachelor in the field of mathematics|
|Language of instruction||German, English|
|Application deadline||December 1st|
|Begin of studies||Winter semester, summer semester|
|Head||Prof. Dr. Marco Cicalese|
|Coordinator||Dr. Katja Kröss|
Contact the coordinator
|Further information||Website TopMath – Doctoral Program in Mathematics|
Faster acquisition of a PhD through early research
The Elite Graduate Program “TopMath – Mathematics with Integrated Doctorate Program” aims at excellent and highly motivated students of mathematics, who show the ability for independent scientific work already at an early stage of their studies.
The aim of the program is to enable students to attain a PhD qualification in mathematics within 4 years after completing their bachelor’s degree, and thereby to qualify junior scientists in high-level scientific research, preparing them for leading positions in research and economy. To achieve this, the key features of the Elite Graduate Program “TopMath – Mathematics with Integrated Doctorate Program” are an early involvement in an active research environment, as well as an individually designed study plan.
From their first masters’ year onwards students specialize in an area of mathematics which corresponds to their abilities and interests. To this purpose, the so-called “Independent Studies” have been created:
In intensive independent study, students of the Elite Graduate Program "TopMath" work on a selected mathematical theme, thereby incorporating current research and implementing scientific methods to solve mathematical problems. Here they accumulate between 15 and 45 credits. Ideally, they intensify the specialisation on their specific theme within the period of their studies.
TopMath enables excellent students to attain their doctorate degree within a very short time frame, whilst offering the best possible individual support from internationally acclaimed professors.
Prof. Dr. Marco Cicalese
In addition to the early specialisation, students acquire a broad mathematical education: at least 15 credits must be achieved in fields of mathematics unrelated to their own field of research. Interdisciplinary courses, for example for the development of communication, social and leadership skills round off the curriculum.
All students are accompanied by mentors from their fields of mathematics, who give advice in matters such as the direction and structure of their studies, guiding them throughout their scientific work. The mentors are university tutors from the departments of both TopMath universities, the Technical University of Munich and the University of Augsburg. They assist the students in planning their individual curriculum, integrate them intensively into their scientific environment and support them in networking within the whole scientific community.
Snippets of the program
Mathematical exchange online
Empty lecture theatres, well attended digital talks: in 2020 four TopMath doctorate students presented the results of their current research online.
Online Seminar on Measure Theory
In eight sessions, Prof. Nicola Fusco gives the international participants an introduction to geometric measure theory.
Snippets of the research
Quantum Spin Glasses
Chokri Manai works on disordered quantum systems which are closely related to different fields such as condensed matter physics, quantum algorithms and probabilty theory.
Fast and Slow
Luca Arcidiacono investigates in his master thesis the behaviour of fast-slow systems in the vicinity of singular points.
Symmetries & Singularities
In her research, Claudia Stadlmayr deals with symmetries of so-called “del Pezzo surfaces” and the question of which singularities occur on them.