Prof. Dr. Urs Hartl

Year	Doctoral Dissertations	Topic
2021	Maike Frantzen	Monodromy Representations for Local and Global G-Shtukas
2018	Paul Breutmann	Functoriality and Stratifications of Moduli Spaces of Global G-Shtukas
	Felix Rötting	Honda-Tate-Theory for A-Motives and Global Shtukas
2017	Anna Weiß	Foliations in moduli spaces of bounded global G-shtukas
2014	Tim Schauch	Weak Admissibility of Hodge-Pink Lattices in Terms of Geometric Invariant Theory
2013	Simon Hüsken	On semi-stable Fontaine theory in equal characteristic and good reduction of analytic Anderson motives (expanded version under 20 on "Publications")
2012	Esmail Arasteh Rad	Uniformizing the Moduli Stacks of Global G-Shtukas (expanded version under 19 and 27 on "Publications")
	Rajneesh Kumar Singh	Local Shtukas and Divisible Local Anderson Modules (expanded version under 21, Survey under 30 on "Publikations")

Year	Master of Science	Topic
2022	Henning Wendtland	The isomorphy types of the σ-bundles associated to a z-isocrystal
2021	Maxim Melnik	Extensions of σ-bundles
2020	Franziska Gerken	Admissibility of isoclinic z-Isocrystals with Hodge-Pink structure
2019	Janna Franzkeit	Canonical Subgroups of Drinfeld-Modules and Truncated Local Shtukas
	Sebastian Greve	p-adic Drinfeld modular forms of higher rank
	Maximilian Langner	Rapoport-Zink period morphisms onto the affine line for function fields
2018	Karsten Schrödter	φ-Gauges and F-Zips for Function Fields and their Relation to Local Shtukas and Truncations
2017	Maike Frantzen	Zeta-functions and Groessencharacters of A-Motives with complex multiplication
2015	Paul Breutmann	The Carlitz logarithm as a period morphism

Year	Diploma Theses	Topic
2015	Andreas Mazzola	Isogenies between supersingular Anderson-motives
2012	Sven Rählmann	Boundedness for certain reductive groups
2010	Ann-Kristin Juschka	The Hodge Conjecture for Function Fields (expanded version under 24 on "Publications")
	Alla Mihaleva	Relation between the quadratic reciprocity law and Artin's reciprocity law
	Franziska Schneider	The Drinfeld-Hayes Theorem
2009	Christian Liguda	The Robba ring
	Antje Pelzer	The main theorem of complex multiplication for Anderson A-motives
	Anne Schindler	Anderson A-motives with complex multiplication
2008	Thomas Fessler	The semilinear theorem and its consequences for isomorphisms of F-crystals and local shtukas
	David Hülsmeier	To lift local shtukas
	Michael Molz	Elementary properties of the moduli space of abelian τ-sheaves
	Tobias Richter	Supersingular Anderson-motives
	Konstantin Seiler	Analytic triviality of a family of τ-modules
2007	Matthias Bornhofen	Abelian Sheaves over Finte Fields (expanded versions under (c), 11, and 14 on "Publications")
2006	Markus Hendler	Representability and formal properness of isomorphism class functors for Drinfeld modules and abelian sheaves (expanded version under 33 on "Publications")
	Judith Klahm	Construction of an elliptic curve over a finite field with prescribed group structure
	Karoline Rohweder	Uniformizability of abelian t-modules
	Markus Stein	Elliptic curves with complex multiplication and associated modular forms

Year	Master of Education	Topic
2017	Jan Schnepel	Bernoulli numbers and Bernoulli-Carlitz numbers
2015	Christina Petersilie	The Hasse-Minkowski theorem for quadratic forms
2013	Claudia Hellmann	Classification of archimedean solids
2011	Denise Krause	Flexes of cubic curves
2010	Philipp Heinicke	Construction and animation of the platonic and archimedian solids
	Klaudia Kwickert	Construction of Cubus Simus via paperfolding (expanded version under 17 on "Publications")

Year	Bachelor of Science	Topic
2021	Annika Holtrup	The Quadratic Reciprocity Law over Rational Function Fields
2020	Doris Grothusmann	The commutativity of Hecke algebras via the Gelfand trick
2018	Rachel Kühn	Isogenies of A-Motives
2017	Antonia Klein-Reesink	Semi-simple rings and modules
2016	Janna Franzkeit	Drinfeld Modules
	Lisa Li	τ-Invariants of A-Motives
	Henning Wendtland	Definition of A-Motives
2013	Jonas Stelzig	Class Field Theory
	Jonas Tebbe	Strong Approximation in SL_n

Year	Bachelor (Education)	Topic
2016	Matthias-Martin Gerhold	Tilings of Space by Octahedra and Tetrahedra
	Malte Karrasch	Produkt Decomposition in Quadratic Number Fields
	Rachel Scheufen	Norms in Quadratic Number Fields and Decomposition of Prime Numbers
2015	Robert Gas	Quadratic Number Fields
	Tanja Inga Hommen	Fractional Ideals
	Sebastian Kraft	Vertex Transitive Polyhedra
	Katharina Langa	Calculating with Ideals
	Julian Rose	Applications of the Quadratic Reciprocity Law to Diophantine Equations
	Malte Seifert	The Splitting Law for Prime Numbers in Quadratic Number Fields
	Alexander Ueckert	Convex Polyhedra
	Lisa Wirbel	Comparison of Hensel's Lemma with Newton's Method
	Max Zaun	Cyclotomic Polynomials
2014	Alexandra Papst	The Catalan solids
	Jonas Rensinghoff	Euler's polyhedral formula
	Enno Stemmerich	The symmetry groups of the archimedean solids
2010	Doris Burrichter	The theorems of Euler and Descartes
	Claudia Hellmann	Netisomorphisms for the cube, the octahedron, and the icosahedron
	Benedikt Köhler	Steinitz's theorem on 3-connected planar graphs
	Eva Konopatzky	Convex polytopes and graph theory
	Nadine Stratmann	The constancy of volume for the Steffen polyhedron
	Lisa Wiechers	The golden ratio related to the platonic solids
2008	Daniel Achtelik	Construction of the Platonic solids
	David Bomas	Archimedean solids
	Klaudia Kwickert	The symmetry groups of the Platonic solids
	Melanie Wiecher	The finite rotation groups of space

U. Hartl, last change: 06/10/2022

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