Prof. Dr. Frederik Witt

05 Combinatorics

• 05E14 Combinatorial aspects of algebraic geometry

06 Order, lattices, ordered algebraic structures

• Algebraic aspects of posets

14 Algebraic geometry

• 14A20 Generalizations (algebraic spaces, stacks)
• 14D20 Algebraic moduli problems, moduli of vector bundles
• 14F08 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
• 14M25 Toric varieties, Newton polyhedra 
• 14H60 Vector bundles on curves and their moduli
• 14J32 Calabi-Yau manifolds (algebro-geometric aspects)
• 14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli

32 Several complex variables and analytic spaces

• 32Q25 Calabi-Yau theory

35 Partial differential equations

• 35G25 Initial value problems for nonlinear higher-order PDEs
• 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
• 35J56 Boundary value problems for first-order elliptic systems
• 35K55 Nonlinear parabolic equations  
• 35R01 Partial differential equations on manifolds

52 Convex and discrete geometry

• 52B20 Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) 
• 52C05 Lattices and convex bodies in 2 dimensions (aspects of discrete geometry)

53 Differential geometry

• 53C07 Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)
• 53C10 G-structures
• 53C20 Global Riemannian geometry, including pinching
• 53C24 Rigidity results
• 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C26 Hyper-Kähler and quaternionic Kähler geometry, "special'' geometry 
• 53C27 Spin and Spinc geometry
• 53C29 Issues of holonomy
• 53C38 Calibrations and calibrated geometries 
• 53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) 
• 53C50 Lorentz manifolds, manifolds with indefinite metrics
• 53C80 Applications of global differential geometry to the sciences
• 53D05 Symplectic manifolds (general theory)
• 53D18 Generalized geometries (à la Hitchin) 
• 53D35 Global theory of symplectic and contact manifolds

58 Global analysis, analysis on manifolds

• 58D17 Manifolds of metrics (esp. Riemannian)
• 58D27 Moduli problems for differential geometric structures
• 58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
• 58E30 Variational principles in infinite-dimensional spaces
• 58J32 Boundary value problems on manifolds
• 58J60 Relations with special manifold structures (Riemannian, Finsler, etc.)

81 Quantum theory

• 81T13 Yang-Mills and other gauge theories in quantum field theory
• 81T30 String and superstring theories; other extended objects (e.g., branes)
• 81T60 Supersymmetric field theories

83 Relativity and gravitational theory

• 83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
• 83E30 String and superstring theories in gravitational theory
• 83E50 Supergravity

• since 2015: Chair of differential geometry, University Stuttgart
• 2010-2015: Tenure-Track for theoretical mathematics, University of Münster
• 2009-2010: Assistant professor for theoretical und mathematical physics LMU Munich
• 2005-2009: PostDoc (FU Berlin, École Polytechnique, University of Regensburg)
• 2005: Doctoral dissertation (University of Oxford)

University of Stuttgart

• Further Mathematics 3 (advanced) (WT 23)
• Commutative Algebra (ST 23)
• Discrete Structures (ST 23)
• Algebraic Curves and Number Theory (WT 22)
• Groups, Algorithms, Geometrie & Applications A (ST 22)
• Geometry (ST 22)
• Algebraic Geometry 2 (WT 21)
• Algebraic Geometry 1 (ST 21)
• Commutative Algebra (ST 21)
• Arithmetic Curves and Algebraic Number Theory (ST 20)
• Groups, Algorithms, Geometries & Applications A (ST 20)
• Further Mathematics 3 (advanced) (WT 19)
• Groups, Algorithms, Geometries & Applications (ST 19)
• Geometry (ST 19)
• Algebraic Geometry 2 (WT 18)
• Algebraic Geometry 1 (ST 18)
• Complex Geometry (WT 17)
• Geometric Measure Theory (ST 17)
• Geometry (ST 17)
• Further Mathematics 3 (advanced) (WT 16)
• Riemann Surfaces (ST 16)
• Algebraic Geometry 2 (ST 16)
• Algebraic Geometry 1 (WT 15)

WWU Münster

• Scalar Curvature and Minimal Surfaces (ST 15)
• Differential Geometry 1 (WT 14)
• Geometric Variational Calculus (ST 14)
• Mathematical Foundations of String Theory (ST 13)
• Geometric Analysis (WT 12)
• Holomorphic Vector Bundles (ST 12)
• Riemann Surfaces (ST 11)
• Complex Geometry (WT 10)

LMU Munich

• Yang-Mills-Theory (ST 10)
• Symplectic Geometry 2 (WT 09)
• Symplectic Geometry 1 (ST 09)