Christina Vasilakopoulou

I am a mathematician, with interests in Category Theory and Algebra as well as categorical systems modeling.

I am currently an Assistant Professor at the School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Greece.

Earlier, I was a Researcher at University of Patras, a Visiting Assistant Professor at UCR, and a postdoc at ULB, MIT, AUEB and UH Manoa. I obtained my PhD in 2014 at the University of Cambridge, UK.

I am an Editor at Cahiers de topologie et gèomètrie diffèrentielle catègoriques and Theory and Applications of Categories (TAC).

Brief CV

News

Upcoming & Most Recent

Member of the scientific committee for the Category Theory conference (CT2026), Johns Hopkins University, Baltimore, USA (13 to 18 July 2026)
Guest editor of Applied Categorical Structures, Collection honouring Robert Paré for his 80th birthday (with Bryce Clarke, Marco Grandis, Dorette Pronk). Submissions open until 30 September 2025.
Talk at the Category Theory conference (CT2025), Masaryk University, Brno, Czech Republic (13-18 July 2025)
Organizer of the 8th Summer School (MATH@NTUA) Algebra: classic topics and current trends, National Technical University of Athens, Greece (30 June-4 July 2025)
Invited speaker at the 10th Greek Algebra and Number Theory Conference , University of Crete, Heraklion Greece (23-24 May 2025)
Member of the scientific committee for the Thirtheenth Symposium on Compositional Structures (SYCO 13) at the University College London, UK (24-25 April 2025)
Invited speaker at the Workshop on Categorical Logic and Higher Categories, University of Manchester, UK (16-19 December 2024)
Volume editor of EPTCS 397, Proceedings of the Sixth International Conference on Applied Category Theory 2023 (with Sam Staton)
Chair of the scientific committee for the Applied Category Theory conference (ACT2023), Maryland, USA (31 July-4 August 2023)
Invited speaker at the Category Theory conference (CT2023), Louvain-La-Neuve, Belgium (2-8 July 2023)
Organizer of the Peripatetic Seminar in Sheaves and Logic (PSSL 107), Athens, Greece (1-2 April 2023)
Invited speaker at the Topos Institute Colloquium, online (23 March 2023)
Invited speaker at the Virtual Double Categories Workshop, online (28 November-2 December 2022)
Invited speaker at the Categories and Companions Symposium, AMSI and MATRIX, Australia (19-23 September 2022)
Participation as a Teaching Assistant at the Research School on Bicategories, Categorification and Quantum Theory, University of Leeds, UK (11-15 July 2022)
Member of the scientific committee for the Applied Category Theory conference (ACT2022), University of Strathclyde, Glasgow, Scotland (18-22 July 2022)
Member of the scientific committee for the Eight Symposium on Compositional Structures (SYCO 8), Tallinn University of Technology, Estonia (13-14 December 2021)
Member of the scientific committee for the Category Theory conference (CT2021), the University of Genoa, Italy (30 August to 4 September 2021 - hybrid conference)
Online talk at the TallCat Seminar, Tallinn University of Technology, Estonia (05-11-2020)
Online talk at the Algebra Seminar, Masaryk University, Brno, Czech Republic (08-10-2020)
Member of the steering and program committee for the Applied Category Theory conference (ACT2020), MIT, USA (6-10 July 2020 - held online)
Member of the scientific committee for the Seventh Symposium on Compositional Structures (SYCO 7), Tallinn University of Technology, Estonia (30-31 March 2020 - postponed)
Visiting Fellow at Macquarie University, Centre of Australian Category Theory, Sydney, Australia (February-March 2020)
Seminar talk at the European Centre for Living Technology , University of Venice, Italy (19-12-2019)

Papers

Journals

(2024) Monoidal Kleisli Bicategories and the Arithmetic Product of Coloured Symmetric Sequences, Nicola Gambino, Richard Garner and Christina Vasilakopoulou, Documenta Mathematica (3) 29, 627-702, DOI:10.4171/DM/950, arXiv:2206.06858
(2022) Structured versus Decorated Cospans, John C. Baez, Kenny Courser and Christina Vasilakopoulou, Compositionality (3) 4, 1-39, DOI:10.32408/compositionality-4-3, arXiv:2101.09363
(2021) Oplax Hopf Algebras , Mitchell Buckley, Timmy Fieremans, Christina Vasilakopoulou and Joost Vercruysse, Higher structures (1) 5, 71-120, arXiv:1710.01465
(2021) Categorical Semantics of Cyber-Physical Systems Theory, Georgios Bakirtzis, Cody H. Fleming and Christina Vasilakopoulou, ACM Transactions on Cyber-Physical Systems (3) 5, article no. 32, 1-32, DOI: 10.1145/3461669, arXiv:2010.08003
(2021) A Larson-Sweedler Theorem for Hopf V-categories, Mitchell Buckley, Timmy Fieremans, Christina Vasilakopoulou and Joost Vercruysse, Advances in Mathematics 376, arXiv:1908.02049
(2020) Monoidal Grothendieck Construction, Joe Moeller and Christina Vasilakopoulou, Theory and Applications of Categories (31) 35, 1159-1207, arXiv:1809.00727
(2020) Dynamical Systems and Sheaves, Patrick Schultz, David Spivak and Christina Vasilakopoulou, Applied Categorical Structures (1) 28, 1-57, DOI:10.1007/s10485-019-09565, arXiv:1609.08086
(2019) Enriched Duality in Double Categories: V-categories and V-cocategories , Christina Vasilakopoulou, Journal of Pure and Applied Algebra (7) 223, 2889-2947, DOI: 10.1016/ j.jpaa.2018.10.003, arXiv:1704.00329
(2018) On Enriched Fibrations , Christina Vasilakopoulou, Cahiers de Topologie et Geometrie Differentielle (4) 50, 354-387, arXiv:1801.01386
(2017) Algebraic Databases , Patrick Schultz, David Spivak, Christina Vasilakopoulou and Ryan Wisnesky, Theory and Applications of Categories (16) 32, 547-619, arXiv:1602.03501
(2017) Hopf measuring comonoids and enrichment , Martin Hyland, Ignacio Lopez Franco and Christina Vasilakopoulou, Proceedings of the London Mathematical Society (5) 115, 1118-1148, DOI: 10.1112/plms.12064, arXiv:1509.07632

Conference Proceedings

(2021) Compositional Cyber-Physical Systems Modeling , Georgios Bakirtzis, Christina Vasilakopoulou and Cody H. Fleming, Proceedings 3rd Annual International Applied Category Theory Conference 2020 (ACT 2020), Electronic Proceedings in Theoretical Computer Science 333, 125–138
(2016) Digree: A Middleware for a Graph Databases Polystore, Vasilis Spyropoulos, Christina Vasilakopoulou and Yannis Kotidis, Proceedings of IEEE International Conference on Big Data, DOI: 10.1109/BigData.2016.7840900

Submitted / Pre-prints

Sweedler theory for double categories , Vasileios Aravantinos-Sotiropoulos and Christina Vasilakopoulou, arXiv:2408.03180
Duoidal categories, measuring comonoids and enrichment, Ignacio Lopez Franco and Christina Vasilakopoulou, arXiv:2005.01340
Measuring comodules and enrichment, Martin Hyland, Ignacio Lopez Franco and Christina Vasilakopoulou, arXiv:1703.10137
Generalization of Algebraic Operations via Enrichment, Christina Vasilakopoulou, PhD Thesis, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 2014, arXiv:1411.3038
Enrichment of Categories of Algebras and Modules, Christina Vasilakopoulou, arXiv:1205.6450

Selected Talks

(2025) The commuting tensor product of multicategories, International Category Theory Conference , Masaryk University, Czech Republic
(2025) Monads and modules in double categories, 10th Greek Algebra and Number Theory Conference , University of Crete, Greece
(2024) Enriched duality for double categories, Workshop on Categorical Logic and Higher Categories, University of Manchester, UK
(2023) Sweedler theory for double categories, International Category Theory Conference, video, UCLouvain, Belgium
(2023) Dual algebraic structures and enrichment, Topos Institute Colloquium, video
(2022) Monoidal Kleisli Double Categories, Virtual Double Categories Workshop, video
(2021) Hopf και Frobenius αλγεβρες: γενικευσεις και το θεωρημα Larson-Sweedler, Department of Mathematics, University of Ioannina, Greece
(2020) Categorical Semantics of CPS systems, TallCat Seminar, Tallinn University of Technology, Estonia
(2020) Oplax Hopf Algebras, Algebra Seminar, Masaryk University, Brno, Czech Republic
(2020) Wiring Diagrams, a categorical formalism for systems modeling, Colloquium of Department of Mathematics, Macquarie University, Australia. Also in European Centre for Living Technology, University of Venice, Italy (2019)
(2019) Tutorial on Wiring Diagrams, Third Statebox Summit, Berlin, Germany
(2019) The Dialectica category and related structures, Fifth Symposium on Compositional Structures, University of Birmingham, UK
(2019) Systems as Wiring Diagram Algebras, UCR Applied Category Theory Seminar, USA
(2018) Hopf and Frobenius algebras: generalizations and the Larson-Sweedler Theorem, Riverside Mathematics Workshop for Excellence and Diversity, UCR, USA
(2018) Monoidal Grothendieck Construction, International Category Theory Conference CT2018, University of Azores, Portugal
(2017) Abstract Dynamical Systems, AMS Meeting: Special Session on Applied Category Theory, UCR, USA
(2017) Hopf categories as Hopf monads in enriched matrices, International Category Theory Conference CT2017, University of British Columbia, Vancouver, Canada
(2017) Abstract systems and sheaves, Category Theory Seminar, DPMMS, University of Cambridge, UK
(2015) Εισαγωγη στη Θεωρια Κατηγoριων (Introduction to Category Theory), Information Systems and Databases Laboratory seminar, AUEB, Greece
(2014) Enriched Fibration, International Category Theory Conference CT2014, DPMMS, University of Cambridge, UK
(2014) Adjunctions between Fibrations and Enrichment, Quantum Group, Department of Computer Science, University of Oxford, UK
(2014) Monoids and Modules in Double Categories, 95th Peripatetic Seminar on Sheaves and Logic PSSL95, Masaryk University, Brno, Czech Republic
(2013) Enrichment of V-categories in V-cocategories, International Category Theory Conference CT2013, Macquarie University, Sydney, Australia
(2013) Enrichment of Categories of Algebras and Modules, 94th Peripatetic Seminar on Sheaves and Logic PSSL94, University of Sheffield, UK

Teaching

Courses

Number Theory (Θεωρία Αριθμών) 2023 -

National Technical University of Athens

Lecture Slides

Intro to College Mathematics for Business and Social Sciences, and for the Sciences II 2017 - 2019

University of California, Riverside, USA

Lecture Slides 1 and 2

First Year Calculus I & II, Calculus for Life Sciences II, Calculus of Several Variables 2017 - 2019

University of California, Riverside, USA

Lecture Slides 1, 2, 3 and 4

Category Theory Examples Classes 2016

Masters class, Université Libre de Bruxelles, Belgium

Sheet1, Sheet2, Sheet3

NTUA Research Team

Postdoctoral researchers

Vasilis Aravantinos-Sotiropoulos
Florian de Leger

PhD students

Theofilos Tsantilas (co-supervised with Panagis Karazeris)

Various Links

The Category Theory Zulip server

I am a mathematician, with interests in Category Theory and Algebra as well as categorical systems modeling.

I am currently an Assistant Professor at the School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Greece.

Earlier, I was a Researcher at University of Patras, a Visiting Assistant Professor at UCR, and a postdoc at ULB, MIT, AUEB and UH Manoa. I obtained my PhD in 2014 at the University of Cambridge, UK.

I am an Editor at Cahiers de topologie et gèomètrie diffèrentielle catègoriques and Theory and Applications of Categories (TAC).