Research Center - Geometry at the Frontier


TEAM | Paola Comparin

Paola Comparin

Assistant Professor, Department of Mathematics and Statistics,
University of La Frontera

Education and Degrees
Ph.D in Mathematics, University of Poitiers, Poitiers, France (2014)
Master in Mathematics, Università degli Studi di Milano, Milano, Italy (2010)
Bachelor in Mathematics, Università degli Studi di Milano, Milano, Italy (2007)

Curriculum Vitae
 +56 45 259 69 62

Research topics

Algebraic geometry
K3 surfaces 
Toric varieties


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.

Selected Publications

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

Research Grants

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.