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Research

Publications: DR Amaranta Membrillo Solis

Orlova T, Solis AM, Sohn HRO, Madeleine T, D'Alessandro G, Smalyukh II, Kaczmarek M, Brodzki J ( 2026 ) . Multiscale geometrical and topological learning in the analysis of soft matter collective dynamics . Physical Review Materials vol. 10 , ( 1 )
Gittins K, Gordon C, Membrillo Solis I, Rossetti JP, Sandoval M, Stanhope E ( 2026 ) . Do the Hodge Spectra Distinguish Orbifolds from Manifolds? Part 2 . The Michigan Mathematical Journal vol. -1 , ( -1 )
Che M, Galaz-García F, Guijarro L ( 2024 ) . Metric geometry of spaces of persistence diagrams . Journal of Applied and Computational Topology vol. 8 , ( 8 ) 2197 - 2246 .
Gittins K, Gordon C, Khalile M, Membrillo Solis I, Sandoval M, Stanhope E ( 2024 ) . Do the Hodge Spectra Distinguish Orbifolds from Manifolds? Part 1 . The Michigan Mathematical Journal vol. 74 , ( 3 )
Che M, Galaz-García F, Guijarro L, Solis IM, Valiunas M ( 2024 ) . Basic metric geometry of the bottleneck distance . Proceedings of the American Mathematical Society vol. 152 , ( 08 ) 3575 - 3591 .
Madeleine T, Podoliak N, Buchnev O, Solis IM, Orlova T, van Rossem M, Kaczmarek M, D’Alessandro G et al. ( 2023 ) . Topological Learning for the Classification of Disorder: An Application to the Design of Metasurfaces . ACS Nano vol. 18 , ( 1 ) 630 - 640 .
D'Alessandro G, Podoliak N, Madeleine T, Solis IM, Kaczmarek M, Orlova T, Brodzki J ( 2023 ) . Control of Long-Range Gold Nanoparticles Networks in Liquid Crystals and their Topological Characterization . Novel Optical Materials and Applications Noma 2023 in Proceedings Advanced Photonics Congress 2023 Part of Optica Advanced Photonics Congress 2023 .
Brodzki J, Madeleine T, Solis IM, Podoliak N, Buchnev O, D’Alessandro G, Kaczmarek M ( 2023 ) . Topological Learning and disorder for the classification and design of structured metasurfaces . Novel Optical Materials and Applications Noma 2023 in Proceedings Advanced Photonics Congress 2023 Part of Optica Advanced Photonics Congress 2023 .
Membrillo Solis I, Orlova T, Bednarska K, Lesiak P, WoliƄski TR, D’Alessandro G, Brodzki J, Kaczmarek M ( 2022 ) . Tracking the time evolution of soft matter systems via topological structural heterogeneity . Communications Materials vol. 3 , ( 1 )
Kishimoto D, Membrillo-Solis I, Theriault S ( 2021 ) . The homotopy types of SO(4)-gauge groups . European Journal of Mathematics vol. 7 , ( 3 ) 1245 - 1252 .
Membrillo-Solis I, Theriault S ( 2021 ) . The homotopy types of U(n)-gauge groups over lens spaces . Boletín de la Sociedad Matemática Mexicana vol. 27 , ( 2 )
Membrillo-Solis I ( 2019 ) . Homotopy types of gauge groups related to S 3-bundles over S 4 . Topology and its Applications vol. 255 , 56 - 85 .