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.

The Elite Graduate Program at a glance

DegreeMaster of Science, Dr. rer. nat.
Duration of studyFour semesters
Place of studyMunich, Augsburg
Admission requirementsBachelor in the field of mathematics
Language of instructionGerman, English
HeadProf. Dr. Marco Cicalese
CoordinatorAgnieszka Slota
Contact the coordinator
Further informationWebsite 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.

Ihren Begabungen und Interessen folgend spe­zi­a­li­sie­ren sich die Stu­den­tin­nen und Stu­den­ten bereits ab dem ersten Jahr ihres Studiums im Elite­studien­gang „TopMath - Mathematik mit Promotion“ in einem mathe­ma­tischen Teil­be­reich. Hierfür sind die sog. „Independent Stu­dies“ konzipiert:


Im Umfang von insgesamt bis zu 45 Credits (Pflicht: 15 Credits) er­ar­bei­ten sich die Stu­die­renden in in­ten­sivem Eigen­stu­dium unter Ein­be­ziehung aktu­eller For­schung und unter den Be­din­gungen wissen­schaft­lichen Ar­bei­tens mathe­ma­tische Frage­stel­lungen zu einem aus­ge­wählten Thema. Idealer­weise machen sie sich diese im Laufe ihres Stu­diums immer intensiver zu eigen und dif­ferenzieren sie weiter aus.

Porträtfoto: Prof. Dr. Marco Cicalese

Der Elitestudiengang „TopMath“ führt exzellente Studierende in kurzer Zeit zur Promotion und bietet dabei ein Höchstmaß an individueller Betreuung durch international renommierte Professorinnen und Professoren.

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.

Intensive Mentoring

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.

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Studierende und Promovierende informieren über „TopMath" und ihre Erfahrungen in dem Elitestudiengang.

Snippets of the program

TopMath Alumni Speakers Series

TopMath Alumni Speakers Series As part of the TopMath Alumni Speakers Series, Dr. Matthias Caro will speak on the topic "Classical verification of quantum learning".

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Online Seminar on Measure Theory

In eight ses­sions, Prof. Nico­la Fusco gives the inter­na­tional par­tici­pants an intro­duc­tion to geo­met­ric measure theo­ry.

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Mathematische Zeichnung einer Kugelschale.

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.

Randomness on new spaces

Gideon Chiusole investigates generalizations of Gaussian distributions on infinite dimensional so-called “Rough Path” spaces.

The ideal Portfolio

In his research, Ben Spies investigated optimal investment strategies, taking advantage of a useful characteristic of so-called affine GARCH models.