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I am a second year math PhD student at HHU Düsseldorf as part of the Research Training Group GRK 2240: Algebro-Geometric Methods in Algebra, Arithmetic and Topology. My advisors are Immanuel Halupczok and Kay Rülling.
My research interest is Singularities, particularly in the context of Algebraic Geometry.
I completed my MSc. in 2024 under the supervision of Giancarlo Urzúa at PUC Chile.
Here is my CV.
vicente.monreal (at) hhu (dot) de
Preprints
Classification of T-surfaces with K^2=2pg-3.
With Jaime Negrete and Giancarlo Urzúa. In preparation, 2025.
Classification of Horikawa surfaces with T-singularities. [Arxiv]
With Jaime Negrete and Giancarlo Urzúa. Submitted, 2024.
Been There, Going There
Summer Research Institute in Algebraic Geometry.
Colorado State University in Fort Collins. July 14-23, 2025.
Singularities in Algebraic Geometry.
Université de Rennes. May 26-June 13, 2025.
Singularities in Low Dimensional and Symplectic Topology.
Nantes Université. April 22-25, 2025.
Birational Geometry: From Moduli to Geography.
Universitat de Barcelona. February 5-7, 2025.
Algebraic Geometry: A Motivic View.
ETH Zürich. January 13-17, 2025.
Modern Methods in Moduli.
University of Luxembourg. November 26-28, 2024.
LMS Research School: AGGITATE.
Essex University. July 22-26, 2024.
Moduli and Invariants.
PUC Chile. March 4-8, 2024.
Iberoamerican Congress on Geometry.
UFRO Chile. December 10-15, 2023.
Unorganized Writing
Surface F-singularities [pdf]
Notes from a talk given at the online SRI Bootcamp, 2025.
Classification of T-singular surfaces with small K^2/p_g. [pdf] [poster]
Notes from a talk given at Nantes-Rennes, 2025.
Cubic Surfaces [pdf]
Notes from a talk given at the HHU Algebra Seminar, 2024.
A sharp inequality for stable surfaces with only T-singularities. [pdf]
Masther's Thesis. PUC Chile, 2024.
Horikawa Surfaces Seminar. [pdf]
Seminar Notes. Organized with Jaime Negrete. PUC Chile, 2022.
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