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Faculty of Arts and HumanitiesDean's Office, Faculty of Arts and HumanitiesJakobi 2, r 116-121 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of History and ArchaeologyJakobi 2 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of Estonian and General LinguisticsJakobi 2, IV korrus 51005 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Philosophy and SemioticsJakobi 2, III korrus, ruumid 302-337 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of Cultural ResearchÜlikooli 16 51003 Tartu linn, Tartu linn, Tartumaa EST0Institute of Foreign Languages and CulturesLossi 3 51003 Tartu linn, Tartu linn, Tartumaa EST0School of Theology and Religious StudiesÜlikooli 18 50090 Tartu linn, Tartu linn, Tartumaa EST0Viljandi Culture AcademyPosti 1 71004 Viljandi linn, Viljandimaa EST0Professors emeritus, Faculty of Arts and Humanities0Associate Professors emeritus, Faculty of Arts and Humanities0Faculty of Social SciencesDean's Office, Faculty of Social SciencesLossi 36 51003 Tartu linn, Tartu linn, Tartumaa EST0Institute of EducationJakobi 5 51005 Tartu linn, Tartu linn, Tartumaa EST0Johan Skytte Institute of Political StudiesLossi 36, ruum 301 51003 Tartu linn, Tartu linn, Tartumaa EST0School of Economics and Business AdministrationNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa EST0Institute of PsychologyNäituse 2 50409 Tartu linn, Tartu linn, Tartumaa EST0School of LawNäituse 20 - 324 50409 Tartu linn, Tartu linn, Tartumaa EST0Institute of Social StudiesLossi 36 51003 Tartu linn, Tartu linn, Tartumaa EST0Narva CollegeRaekoja plats 2 20307 Narva linn, Ida-Virumaa EST0Pärnu CollegeRingi 35 80012 Pärnu linn, Pärnu linn, Pärnumaa EST0Professors emeritus, Faculty of Social Sciences0associate Professors emeritus, Faculty of Social Sciences0Faculty of MedicineDean's Office, Faculty of MedicineRavila 19 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Biomedicine and Translational MedicineBiomeedikum, Ravila 19 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of PharmacyNooruse 1 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of DentistryL. Puusepa 1a 50406 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Clinical MedicineL. Puusepa 8 50406 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Family Medicine and Public HealthRavila 19 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Sport Sciences and PhysiotherapyUjula 4 51008 Tartu linn, Tartu linn, Tartumaa ESTprofessors emeritus, Faculty of Medicine0associate Professors emeritus, Faculty of Medicine0Faculty of Science and TechnologyDean's Office, Faculty of Science and TechnologyVanemuise 46 - 208 51003 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Computer ScienceNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa ESTInstitute of GenomicsRiia 23b/2 51010 Tartu linn, Tartu linn, Tartumaa ESTEstonian Marine Institute0Institute of PhysicsInstitute of ChemistryRavila 14a 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Mathematics and StatisticsNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa EST0Institute of Molecular and Cell BiologyRiia 23, 23b - 134 51010 Tartu linn, Tartu linn, Tartumaa ESTTartu ObservatoryObservatooriumi 1 61602 Tõravere alevik, Nõo vald, Tartumaa EST0Institute of TechnologyNooruse 1 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Ecology and Earth SciencesJ. Liivi tn 2 50409 Tartu linn, Tartu linn, Tartumaa ESTprofessors emeritus, Faculty of Science and Technology0associate Professors emeritus, Faculty of Science and Technology0Area of Academic SecretaryHuman Resources OfficeÜlikooli 18, ruumid 302 ja 304 50090 Tartu linn, Tartu linn, Tartumaa EST0Area of Head of FinanceFinance Office0Area of Director of AdministrationInformation Technology Office0Administrative OfficeÜlikooli 17 (III korrus) 51005 Tartu linn, Tartu linn, Tartumaa EST0Estates Office0Marketing and Communication OfficeÜlikooli 18, ruumid 102, 104, 209, 210 50090 Tartu linn, Tartu linn, Tartumaa EST0Area of Vice Rector for DevelopmentCentre for Entrepreneurship and InnovationNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa EST0University of Tartu Natural History Museum and Botanical GardenVanemuise 46 51003 Tartu linn, Tartu linn, Tartumaa EST0International Cooperation and Protocol Office0University of Tartu MuseumLossi 25 51003 Tartu linn, Tartu linn, Tartumaa EST0Area of RectorRector's Strategy OfficeInternal Audit OfficeArea of Vice Rector for Academic AffairsOffice of Academic AffairsUniversity of Tartu Youth AcademyUppsala 10 51003 Tartu linn, Tartu linn, Tartumaa ESTStudent Union OfficeÜlikooli 18b 51005 Tartu linn, Tartu linn, Tartumaa EST0Centre for Learning and TeachingArea of Vice Rector for ResearchUniversity of Tartu LibraryW. Struve 1 50091 Tartu linn, Tartu linn, Tartumaa ESTGrant Office
Geometry and Topology
09.11.2022
The research group in Geometry and Topology focuses on the investigation of modern structures in differential geometry and their applications in theoretical physics. The connection is a generalisation of the parallel transport of tangent vectors on surfaces, and the theory of connections is applied in theoretical physics in so-called gauge field theories. Noncommutative geometry emerged in the context of the quantization problem of gravitational theory. Our research group explores the concept of connection in noncommutative geometry. The mathematical aspects of the quark model play a significant role in particle physics. Our research group delves into the mathematical aspects of the quark model. Lie groups and algebras have a crucial role in modern differential geometry. We study contemporary generalisations of Lie algebras, including ternary Lie algebras, Poisson algebras, Hom-Lie algebras, and Lie superalgebras.
Research Group Members
- Viktor Abramov (Professor, MSI, research group leader)
- Stefan Groote (Associate Professor, Institute of Physics)
- Olga Liivapuu (Associate Professor, Estonian University of Life Sciences)
- Priit Lätt (PhD in Mathematics, MSI)
- Alexander Stolin (Professor Emeritus, University of Gothenburg)
- Randal Annus (student, MSI)
- Aleksander Beditski (student, MSI)
- Nikolai Sovetnikov (student, MSI)
Research Questions
- Investigation of super Riemann surfaces
- Connections in bundles, gauge field theories, and noncommutative geometry
- Exploration of ternary Lie algebras and superalgebras
- Quark model and algebras associated with representations of rotation groups
- Poisson algebra, transposed Poisson algebra, and transposed Poisson superalgebra
- Poisson algebras and geometric structures in theoretical mechanics
Research Projects
- Estonia-France cooperation program "G. F. Parrot," project title "Differential graded algebras and shifted curved Lie algebras," 2021-2022
- COST project "Cartan Geometry, Lie, Integrable Systems, Quantum Groups and Applications," 2023-2028
- ETAG program Mobilitas Pluss, project "Cohomologies of ternary self-distributive structures and invariants of framed links."
Geometry and Topology Seminar
In this seminar, we introduce students to a range of research topics. Each student is then offered a research topic. At the end of the semester, the student submits a written report and gives a presentation on the topic of the report. These reports are intermediate steps towards a bachelor or master thesis.
Career conference „To new hights with a PhD degree!“
On 16 May, the Estonian Doctoral School Career Conference will be held in Tallinn to discuss the value of doctoral studies and the career prospects of doctoral students. All Estonian doctoral students and those interested in doctoral studies are welcome to attend.
Martin Haamer and Hanna Britt Soots among winners of “Science in 3 Minutes” competition
Martin Haamer and Hanna Britt Soots were among the top five in the finals of the competition “Science in 3 Minutes”.
Estonian Academy of Sciences Foundation awarded scholarships to Ülo Reimaa and Angela Peeb
Estonian Academy of Sciences Foundation awarded its scholarships for 2024 to Ülo Reimaa, a Research Fellow in Algebra at the University of Tartu Institute of Mathematics and Statistics, and Angela Peeb, a doctoral student in Molecular and Cell Biology at the University of Tartu.