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Fakultät für Mathematik Universität Regensburg



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Veronika Wanner

Fakultät für Mathematik
Universität Regensburg
93040 Regensburg
Germany

email: veronika.wanner }at{ mathematik.uni-regensburg.de
phone: +49 941 943 5812
office: M304



About me

I am a third year PhD student at University of Regensburg and part of the project “Tropical Approaches to Arakelov Geometry” in the SFB “Higher invariants” at University of Regensburg. I am working on non-archimedean geometry and non-archimedean potential theory. My advisors are Prof. Dr. Walter Gubler and Prof. Dr. Klaus Künnemann.

I wrote my master's thesis “Harmonic functions on the Berkovich projective line” and my bachelor's thesis “Der Fundamentalsatz der tropischen Geometrie” both with Prof. Dr. Walter Gubler.

Publications and Preprints

“Comparison of two notions of subharmonicity on non-archimedean curves“.
Mathematische Zeitschrift, (), 1-32, DOI: 10.1007/s00209-018-2205-z
arxiv:1801.04713

“Poincaré duality for the tropical Dolbeault cohomology of non-archimedean Mumford curves“ with Philipp Jell.
Journal of Number Theory 187, 344-371. Publication available online here.
arxiv:1612.01889

Talks

05/2018: Talk on “Comparison of two notions of subharmonicity on non-archimedean curves” at Georgia Institute of Technology.

05/2018: Talk on “Comparison of two notions of subharmonicity on non-archimedean curves” at the Algebraic Geometry Seminar, at University of Michigan.

03/2018: Talk on “Poincaré duality for the tropical Dolbeault cohomology of non-archimedean Mumford curves” at Spring School: “Tropical Geometry meets Representation Theory”, at University of Cologne.

02/2018: Talk on “Subharmonic functions on non-archimedean curves” at the Oberseminar Algebra und Geometrie, at Goethe University Frankfurt.

10/2017: Talk on “Poincaré duality for the tropical Dolbeault cohomology of non-archimedean Mumford curves” at the Oberseminar Arakelov-Theorie, at University of Regensburg.

02/2017: Talk on “De Rham cohomology of non-archimedean Mumford curves” at the Third Meeting of Young Women in Mathematics “Cohomological Methods in Geometry”, at Albert Ludwig University of Freiburg.

Organisational activities

Workshop on “Non-archimedean and Tropical Geometry“ in Regensburg, July 31 - August 4, 2017

Teaching (all at University of Regensburg)

SS 2017: Exercise class for the lecture Arakelov Theory by Prof. Dr. Walter Gubler.
SS 2016: Exercise class for the lecture Commutative Algebra by Prof. Dr. Klaus Künneman.
WS 2015/16: Exercise class for the lecture Algebra by Prof. Dr. Klaus Künnemann.
SS 2015: Exercise class for the lecture Linear Algebra II by Prof. Dr. Klaus Künnemann.
WS 2014/2015: Exercise class for the lecture Analysis I by Prof. Dr. Stefan Friedl.
SS 2014: Exercise class for the lecture Linear Algebra II by Prof. Dr. Moritz Kerz .
WS 2013/14: Exercise class for the lecture Linear Algebra I by Prof. Dr. Moritz Kerz.

CV

05/2016 - now: PhD student at University of Regensburg.
05/2018 - 06/2018: Visiting Researcher at Georgia Institute of Technology within the program Mentoring international DFG with mentor Porf. Matt Baker.
04/2016: Master of Science in Mathematics at University of Regensburg.
08/2014: Bachelor of Science in Mathematics at University of Regensburg.
05/2011: Abitur at Anton-Bruckner-Gymnasium Straubing.

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