Niklas Müller
Who am I?
Currently, I am a Ph.D. student at Universität Duisburg-Essen, Germany. As such I am a member of the GRK 2553. My supervisor is Prof. Daniel Greb. Hopefully, I will have obtained my Ph.D. by late 2025.
My main interest is classification theory of algebraic varieties as motivated by the MMP. In the past, I have mainly focused on varieties of positive curvature. At the moment I am working on deriving new and more general versions of Miyaoka-Yau type inequalities.
More detailed information on myself may be found in my CV.
Research Texts
Abundance theorem for Minimal Projective Varieties satisfying Miyaokas equlitity (with Masataka Iwai & Shin-Ichi Matsumura). Preprint.
Two Non-Vanishing results concerning the Anti-Canonical Bundle. Preprint.
Locally Constant Fibrations and positivity of curvature. Preprint.
Canonical Extensions of Manifolds with Nef Tangent Bundle. Preprint.
Research Talks
07.05.2024 Minimal Projective Varieties satisfying Miyaoka's equality.
Oberseminar Complex Geometry, Bayreuth.
11.04.2024 Minimal Projective Varieties satisfying Miyaoka's equality.
Oberseminar Algebraic Geometry, Hannover.
07.07.2023 An Equivariant Non-Vanishing results concerning the Anti-Canonical Bundle.
Joint Seminar on Complex Algebraic Geometry and Complex Analysis, Essen.
05.06.2023 Two Non-Vanishing results concerning the Anti-Canonical Bundle.
Alpine Meeting on non-positive Curvature in Kähler geometry, Aussois.
04.11.2022 Positivity and Canocical Extensions: Surfaces and beyond.
Oberseminar of Prof. Peternell, Bayreuth.