Math: Juan Martin Perez
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Free University of BerlinInstitute for MathematicsArnimallee 314195 BerlinRoom 012Tel .: 030-838 75352e-mail :juanmartip95[at]zedat.fu-berlin.de
I'm currently a Phd student under the supervision of Professor Alexander Schmitt and Florent Schaffhauser. I am also a BMS phase II student.
Research interests
My research interests lie in the field of Algebraic and Complex Geometry, with a specific focus on moduli problems. I am particularly interested in the classification of algebro-geometric objects and the construction of these objects via geometric invariant theory adjacent methods and theta-stability. Additionally, I am investigating different compactifications of these objects, for example through Uhlenbeck theory and Gieseker semistability. I am also interested in exploring the connections between these moduli problems and other areas of mathematics such as the Kobayashi-Hitchin correspondence and non-abelian Hodge theory. My ultimate goal is to deepen our understanding of these complex mathematical concepts and their applications in other areas of mathematics and physics
My research interests lie in the field of Algebraic and Complex Geometry, with a specific focus on moduli problems. I am particularly interested in the classification of algebro-geometric objects and the construction of these objects via geometric invariant theory adjacent methods and theta-stability. Additionally, I am investigating different compactifications of these objects, for example through Uhlenbeck theory and Gieseker semistability. I am also interested in exploring the connections between these moduli problems and other areas of mathematics such as the Kobayashi-Hitchin correspondence and non-abelian Hodge theory. My ultimate goal is to deepen our understanding of these complex mathematical concepts and their applications in other areas of mathematics and physics
Preprints
Preprints
With Florent Schaffhauser. Orbifolds and the modular curve.
In the tradition of Thurston III (link).
Previous education
I am from Colombia. I obtained my Bachelor's degree at Universidad Nacional de Colombia in 2018 in Bogota. I finished my master´s degree at Universidad de los Andes in 2020 in Bogota and did a M2 (second year of master) at Université Cote d'Azur.
I am from Colombia. I obtained my Bachelor's degree at Universidad Nacional de Colombia in 2018 in Bogota. I finished my master´s degree at Universidad de los Andes in 2020 in Bogota and did a M2 (second year of master) at Université Cote d'Azur.
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