Below is a list of research topics for the summer trainee positions at Department of Mathematics and Systems Analysis in 2025. Indicate at least one topic in your application. However, it is recommended that you give a priority list of several topics. Further instructions on submitting an application can be found at...
If you are a student outside Finland, or an international/exchange student in Finland, please also check the Aalto Science Institute international summer research programme.
https://www.aalto.fi/en/aalto-science-institute-asci/how-to-apply-to-the-asci-international-summer-research-programme
1. I am looking for one summer intern to work on algebra, its applications, or related areas. Some topic suggestions are listed here. Other topics are possible as well, in particular in the areas of algebraic statistics, applications of algebra in biology and medicine, algebraic methods in optimization, and rigidity theory. Students who would like to write their BSc or MSc thesis in connection with the internship will be given preference. For more information, please contact Kaie Kubjas.
2. I am looking for one summer intern to work on representation theory or algebraic geometry. Possible topics in representation theory include representations of finite groups of Lie type, Hecke algebras, or categorification. For algebraic geometry, the options range from number theoretic applications of invariant theory to curve counting problems in string theory. Students who would like to write their BSc or MSc thesis in connection with the internship will be given preference. For more information, please contact Oscar Kivinen (firstname.lastname@aalto.fi).
3. We are seeking to recruit research interns to work in projects related to mathematical analysis, for example the possible projects are from areas analysis in metric spaces or quasiconformal mappings (i.e. the generalizations of conformal mappings). There are suitable topics both for Bachelor’s and Master’s thesis projects. For more information, please contact Sari Rogovin.
4. We are seeking to recruit research interns in areas of mathematics related to mathematical physics. Possible topics include random geometry (SLE theory, Liouville quantum gravity, related areas), discrete probabilistic models of statistical physics, aspects of constructive quantum field theory or axiomatic conformal field theory, and representation theory. For more information, please contact Kalle Kytölä (kalle.kytola "at" aalto.fi) or Eveliina Peltola (eveliina.peltola "at" aalto.fi).
5. I will update the course Prediction and Time Series Analysis (MS-C2128) for the next academic year. I am looking for a student to compose new exercises under my guidance. The student should have good command of the theory of time-series analysis, be familiar with statistical software R, and be able to compose exercises in English in Latex. For further information please contact Pekka Pere (pekka.j.pere at aalto.fi).
6. We are looking for a research intern for a project related to mathematical statistics, probability theory, and information theory. Strong background in probability theory and stochastic processes is expected. For more information, please contact Lasse Leskelä.
7. We are recruiting students to work in areas related to geometric analysis. The approach of this research can be purely theoretical, towards some application or visualisation, artistic, based on crafting or some other interesting viewpoint. Possible topics include low dimensional topology and geometry, models of geometry, dynamics, fractals, matrix groups and algebras, algebraic topology, mathematics of origami, classification of symmetries in different geometries, Kleinian groups, orbifolds. Contact person: Kirsi Peltonen
8. We are looking for summer interns in numerical analysis and applied inverse problems. Possible topics are related to, e.g., inverse problems for imprecisely known forward models, numerical linear algebra, complex network analysis, matrix theory, orthogonal polynomials, optimal experimental design, quadrature rules, and parameter-dependent eigenvalue problems and partial differential equations. For more information, please contact Harri Hakula, Antti Hannukainen, Nuutti Hyvönen or Vanni Noferini.
More information here.
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