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,Pavel Mnev and Konstantin Wernli, Combinatorial QFT on Graphs: First Quantization Formalism,  arXiv: 2308.07801 (2023).

[21] Ivan Contreras, Adele Long, Sophia Marx and Rajan Mehta, Examples and Classification of Frobenius Objects in Rel, to appear in Contemporary Mathematics, AMS (2023) (18 pages).

[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.