Vera Koponen
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 31 85
- E-mail:
- vera.koponen@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Vera Koponen at Department of Mathematics; Academic staff
Senior Lecturer/Associate Professor at Department of Mathematics; Algebra, Logic and Representation Theory
- Telephone:
- +46 18 471 31 85
- E-mail:
- Vera.Koponen@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Research
I do research in mathematical logic and related areas. Within logic my speciality is model theory which is the study of structures in a quite general sense, but common for it is that formal logical languages play a central role (e.g. for description and classification of structures).
During 2024-2027 I lead the project A model theoretic approach to relational learning in artificial intelligence funded by the Swedish Research Council.
A bit more about my research, including preprints that have not yet been published, is found here: http://www2.math.uu.se/~vera/research/index.html

Publications
Recent publications
Random expansions of trees with bounded height
Part of Theoretical Computer Science, 2025
On the relative asymptotic expressivity of inference frameworks
Part of Logical Methods in Computer Science, 2024
- DOI for On the relative asymptotic expressivity of inference frameworks
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Asymptotic elimination of partially continuous aggregation functions in directed graphical models
Part of Information and Computation, 2023
- DOI for Asymptotic elimination of partially continuous aggregation functions in directed graphical models
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Conditional probability logic, lifted Bayesian networks, and almost sure quantifier elimination
Part of Theoretical Computer Science, p. 1-27, 2020
- DOI for Conditional probability logic, lifted Bayesian networks, and almost sure quantifier elimination
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Supersimple omega-categorical theories and pregeometries
Part of Annals of Pure and Applied Logic, 2019
All publications
Articles in journal
Random expansions of trees with bounded height
Part of Theoretical Computer Science, 2025
On the relative asymptotic expressivity of inference frameworks
Part of Logical Methods in Computer Science, 2024
- DOI for On the relative asymptotic expressivity of inference frameworks
- Download full text (pdf) of On the relative asymptotic expressivity of inference frameworks
Asymptotic elimination of partially continuous aggregation functions in directed graphical models
Part of Information and Computation, 2023
- DOI for Asymptotic elimination of partially continuous aggregation functions in directed graphical models
- Download full text (pdf) of Asymptotic elimination of partially continuous aggregation functions in directed graphical models
Conditional probability logic, lifted Bayesian networks, and almost sure quantifier elimination
Part of Theoretical Computer Science, p. 1-27, 2020
- DOI for Conditional probability logic, lifted Bayesian networks, and almost sure quantifier elimination
- Download full text (pdf) of Conditional probability logic, lifted Bayesian networks, and almost sure quantifier elimination
Supersimple omega-categorical theories and pregeometries
Part of Annals of Pure and Applied Logic, 2019
Binary simple homogeneous structures
Part of Annals of Pure and Applied Logic, p. 1335-1368, 2018
On Constraints And Dividing In Ternary Homogeneous Structures
Part of Journal of Symbolic Logic (JSL), p. 1691-1721, 2018
Random l-colourable structures with a pregeometry
Part of Mathematical logic quarterly, p. 32-58, 2017
Homogeneous 1-based structures and interpretability in random structures
Part of Mathematical logic quarterly, p. 6-18, 2017
Binary primitive homogeneous simple structures
Part of Journal of Symbolic Logic (JSL), p. 183-207, 2017
Binary simple homogeneous structures are supersimple with finite rank
Part of Proceedings of the American Mathematical Society, p. 1745-1759, 2016
Limit laws and automorphism groups of random nonrigid structures
Part of Journal of Logic and Analysis, p. 1-53, 2015
- DOI for Limit laws and automorphism groups of random nonrigid structures
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On sets with rank one in simple homogeneous structures
Part of Fundamenta Mathematicae, p. 223-250, 2015
- DOI for On sets with rank one in simple homogeneous structures
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Typical automorphism groups of finite nonrigid structures
Part of Archive for mathematical logic, p. 571-586, 2015
- DOI for Typical automorphism groups of finite nonrigid structures
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On compactness of logics that can express properties of symmetry or connectivity
Part of Studia Logica, p. 1-20, 2015
- DOI for On compactness of logics that can express properties of symmetry or connectivity
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A limit law of almost l-partite graphs
Part of Journal of Symbolic Logic (JSL), p. 911-936, 2013
- DOI for A limit law of almost l-partite graphs
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Random graphs with bounded maximum degree: asymptotic structure and a logical limit law
Part of Discrete Mathematics & Theoretical Computer Science, p. 229-254, 2012
Asymptotic probabilities of extension properties and random l-colourable structures
Part of Annals of Pure and Applied Logic, p. 391-438, 2012
Independence and the finite submodel property
Part of Annals of Pure and Applied Logic, p. 58-79, 2009
Part of Archive for mathematical logic, p. 515-522, 2009
The finite submodel property and ω-categorical expansions of pregeometries
Part of Annals of Pure and Applied Logic, p. 201-229, 2006
Finite satisfiability and N-0-categorical structures with trivial dependence
Part of Journal of Symbolic Logic (JSL), p. 810-830, 2006
A note on orthogonality and stable embeddedness
Part of Journal of Symbolic Logic (JSL), p. 1359-1364, 2005
On first-order sentences without finite models
Part of Journal of Symbolic Logic (JSL), p. 329-339, 2004
Finite variable logic, stability and finite models
Part of Journal of Symbolic Logic (JSL), p. 837-858, 2001
Chapters in book
Some connections between finite and infinite model theory
Part of Finite and Algorithmic Model Theory, p. 109-139, Cambridge University Press, 2011
Comprehensive doctoral thesis
Reports
Other
Part of The Bulletin of Symbolic Logic, p. 114-116, 2008