Publications

Published Papers and Preprints

[23] Ivan Contreras, Rajan Mehta and Walker Stern, Frobenius and Commutative Pseudomonoids in the Bicategory of Spans, arXiv: 2311.15342 (2023). 

[22] Ivan Contreras, Santosh Kandel, Pavel Mnev and Konstantin Wernli, Combinatorial QFT on Graphs: First Quantization Formalism,  in Annales de l’Institut Henri Poincaré D (2024) (83 pages).

[21] Ivan Contreras, Adele Long, Sophia Marx and Rajan Mehta, Examples and Classification of Frobenius Objects in Rel, Higher Structures in Geometry, Topology and Physics, Contemporary Mathematics, Volume 802, American Mathematical Society (2024), pp 75-92.

[20] Ivan Contreras, Chris Elliott and Owen Gwilliam, Defects via Factorization Algebras, Letters in Mathematical Physics 113, 46 (2023) (26 pages).

[19] Ivan Contreras,  Andrew Tawfeek, On Discrete Gradient Vector Fields and Laplacians of Simplicial Complexes, Annals of Combinatorics, published online (2023) (25 pages).

[18] Beata Casiday, Ivan Contreras, Thomas Meyer, Sabrina Mi and Ethan Spingarn, Laplace and Dirac Operators on Graphs, Linear and Multilinear Algebra, published online (2022) (41 pages).

[17] I. Contreras, Molly Keller and Rajan Mehta,  Frobenius Objects in the Category of Spans, Reviews in Mathematical Physics, Vol. 34, No. 10 (2022) 2250036 (34 pages).

[16] Ivan Contreras and Michele Schiavina, Kähler Fibrations in Quantum Information Theory,  Manuscripta Mathematica, Vol. 168 (2022), pp. 325-349.

[15] I. Contreras, Nima Moshayedi and Konstantin Wernli, Convolution Algebras for Relational Groupoids and Reduction, Pacific Journal of Mathematics, Vol. 313, No. 1 (2021), pp. 75-105.

[14] Ivan Contreras and Rui Fernandes,  Genus Integration, Abelianization and Extended Monodromy, International Mathematics Research Notices (IMRN) Issue 14 (2021), pp. 10798-10840.

[13] Ivan Contreras and Nicolas Martinez Alba, Poly-symplectic Geometry and the AKSZ Formalism, Reviews in Mathematical Physics, Vol. 33, No. 9 (2021), 2150030 (14 pages).

[12] Alberto Cattaneo and Ivan Contreras,  Split Canonical Relations, Annales Henri Lebesgue, Vol. 4 (2021), pp. 155-185.

[11] Ivan Contreras, Michael Toriyama and Chengzeng Yu, Gluing of Graph Laplacians and Their Spectra, Linear and Multilinear Algebra, Vol. 68, No 4 (2020), pp. 710-749.

[10] Ivan Contreras, Boyan Xu, The Graph Laplacian and Morse Inequalities, Pacific Journal of Mathematics, Vol. 300 (2019), No. 2, pp 331-345.

[9] Ivan Contreras and Nicolas Martinez Alba, Poly-Poisson Sigma Models and their Relational Poly-Symplectic Groupoids, Journal of Mathematical Physics, Vol. 59, Issue 7 (2018), (23 pages).

[8] Ivan Contreras and Ali Duman, A Functorial Construction for Quantum Subtheories, Entropy, Vol. 19, Issue 5, 220 (2017), (20 pages).

[7] Ivan Contreras and Ali Duman, Geometric Quantization and Epistemically Restricted Theories: The Continuous Case,  Quantum Physics and Logic (QPL), EPTCS 236, (2017), pp. 40-50.

[6] Ivan Contreras, Elisa Ercolessi and Michele Schiavina, On the Geometry of Mixed States and the Fisher Information Tensor, Journal of Mathematical Physics, Vol. 57, Issue 6 (2016) (23 pages).

[5] Alberto Cattaneo and Ivan Contreras, Relational Symplectic Groupoids, Letters in Mathematical Physics, Vol. 105, Issue 5 (2015), pp. 723-767.

[4] Ivan Contreras,  Groupoids, Frobenius Algebras and Poisson Sigma Models, Mathematical Aspects of Quantum Field Theories, Mathematical Physical Studies, Springer, Part III (2015), pp. 413-427.

[3] Alberto Cattaneo and Ivan Contreras, Groupoids and Poisson Sigma Models with Boundary, Geometric and Topological Methods for Quantum Field Theory, World Scientic (2014) pp. 315-330.

[2] Ivan Contreras, Models for Formal Groupoids, Geometric and Topological Methods for Quantum Field Theory, Cambridge University Press (2013), pp. 322-339.

[1] Alberto Cattaneo, Ivan Contreras and Chris Heunen, Relative Frobenius Algebras are Groupoids, Journal of Pure and Applied Algebra, Vol. 217, Issue 1 (2013) pp. 114-124.