Computer science and mathematics: Mathematics (EN)

The compulsory part of the doctoral study programme consists of studies and the elaboration of the doctoral thesis (literature analysis, research, presentation of results at conferences, preparation of scientific publications), a general skills module, doctoral examinations, as well as participation in the doctoral schools of the University or equivalent experience. 

The restricted elective part consists of theoretical courses relevant to the Mathematics sub-programme, such as Category Theory and its Applications, Solvability in Algebra, Fractal Geometry, Paradigms in Mathematics and others. 

The programme offers rigorous research training and transversal competencies through structured coursework, field-specific doctoral examinations (in the discipline, subdiscipline, and a foreign language), and continuous engagement in scientific research. Throughout the studies, doctoral candidates carry out original research in their chosen topic, disseminate results in peer-reviewed publications, participate in international conferences, undertake mobility visits, and contribute to academic activities. The programme concludes with the completion and public defence of the doctoral thesis, demonstrating readiness for independent research work.

The potential job market for graduates of the programme includes academic work in Latvian universities (University of Latvia, Riga Technical University, Daugavpils University, Latvia University of Life Sciences and Technologies, Ventspils University of Applied Sciences and others), research work in institutes (LU MII, EDI, and others), as well as work in national economy companies (Accenture, Emergn, Tilde, White-cryption, etc.) and public administration (Bank of Latvia, Central Statistical Office). In all these places, a thorough knowledge of computer science and mathematics is useful. The young PhDs trained at the University are highly ranked in research organisations in the EU and other countries. (For example, PhDs in computer science trained by the University have worked or are working at the prestigious Massachusetts Institute of Technology (MIT) in the USA, the University of Bristol in the UK, the University of Bozen-Bolzano in Italy, Aalesund University in Norway and elsewhere abroad).  In the economy, graduates of the DSP "Computer Science and Mathematics" will be of interest to companies creating innovative products and technologies. This includes both large companies trying to occupy more technologically sophisticated niches (e.g. Accenture) and highly innovative SMEs (e.g. Tilde, which is actively involved in pan-European research programmes in language technology). It can be argued that the current demand from academia, business and public administration far exceeds the number of PhDs trained and the labour market will not be saturated in the foreseeable future.

Previous academic education: second cycle higher education (master's degree or equivalent) in computer science or mathematics; or second cycle higher education (master's degree or equivalent) in another field with at least 3 years of work experience in the field of mathematics. 

Additional requirements: 

• Doctoral thesis proposal agreed with a potential scientific supervisor, 

• Proof of English language proficiency at least at B2 level, 

• Curriculum Vitae,
• Motivation letter,
• Proof of scientific research activities and other documents. 

Required English language proficiency (except if previous education is in English), attested by following tests:

Entrance examinations: motivation assessment interview with a representative of the Doctoral School, as well as an oral presentation of the doctoral thesis topic and planned research at the Doctoral Council. The Council evaluates the applicant's knowledge, the quality and relevance of the doctoral thesis proposal, as well as the results of previous scientific research. 

More information about the documents to be submitted.

Further information on exchange study opportunities is available here.

Additional information and the study plan

In case of any questions, please contact:
Sintija Siliņa
E-mail: sintija.silina@lu.lv

For international applicants, enquiries regarding the application procedure, document legalisation, the entrance examination (interview), visa documentation, and funding opportunities should be addressed to:
Ieva Stūrmane
E-pasts: ieva.sturmane@lu.lv
Phone: 67034027