Education and Degrees
I obtained my PhD degree at Université de Poitiers (France) in September 2014 with the thesis entitled “Mirror symmetry and special elliptic fibrations on K3 surfaces”. In this work, I studied K3 surfaces, automorphisms and mirror symmetry for a class of K3 surfaces. I moved to Chile in 2014, with a postdoc position at Universidad de Concepción first and then at Universidad de La Frontera. I’m currently professor at Universidad de La Frontera. My research topics are K3 surfaces and their automorphism, toric varieties, mirror symmetry and related topics.
Mirror symmetry for K3 surfaces
Bott, C.J.; Comparin, Paola; Priddis, Nathan
Geometriae Dedicata. 2020, 237 (1), pp. 415–436, DOI: 10.1007/s10711-020-00548-0
Order 9 automorphisms of K3 surfaces
Artebani, Michela; Comparin, Paola; Valdés, María Elisa
Communications in Algebra. 2020, 48 (9), pp. 3661-3672, DOI: 10.1080/00927872.2020.1743300
Quasismooth hypersurfaces in toric varieties
Artebani, Michela; Comparin, Paola; Guilbot Robin
Proceedings of the American Mathematical Society. 2019, 147 (11), pp. 4565-4579, DOI: 10.1090/proc/14515
Families of Calabi-Yau hypersurfaces in ℚ-Fano toric varieties
Artebani, Michela; Comparin, Paola; Guilbot, Robin
Journal de Mathematiques pures et appliquees. 2016, 106 (2), pp. 319-341, DOI: 10.1016/j.matpur.2016.02.012
The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order
Comparin, Paola; Lyons, Christopher; Priddis, Nathan; Suggs, Rachel
Advances in Theoretical and Mathematical Physics. 2014, 18 (6), pp. 1335-1368, DOI: 10.4310/ATMP.2014.v18.n6.a4
|Current Doctoral Supervision
2020 - María Elisa Valdés - PhD in Mathematics | University of Concepción, Concepción, Chile. (Co-tutor)
Title: About non-symplectic automorphisms of composite order of K3 surfaces
Algebraic and geometric aspects of varieties and manifolds (MATH AmSud – ANID, 2021 - 2023) – Co-Investigator.
Geometry and Symmetries of Calabi-Yau varieties (Fondecyt, 2019 - 2022) – Principal Investigator.
Geometry of K3 surfaces (ECOS-ANID, 2020 - 2022) – Co-Investigator.
Joint USA-CHILE Geometry at the Frontier (ANID, 2020 - 2022) – Co-investigator.
South-North Latin American network through Geometry (ANID, 2020 - 2022) – Co-Investigator.
On group representations and their actions on surfaces and varieties (Fondecyt, 2020 - 2024) – Co-Investigator.