• About Me.

  My name is Felix Fontein and I'm currently a postdoctoral fellow at the University of Calgary. I'm working in the area of Computational Number Theory, in particular on arithmetic in global fields, the infrastructure of such fields, computation of regulators and fundamental units, and related areas. I studied at University of Oldenburg and at the University of Zurich.

• About This Blog.

  This blog focusses on my research as well as other mathematical topics which I am interested in.

• Overview Pages.

  • Infrastructures and Global Fields.

• Links.

  • Applied Algebra Group @uzh.
  • CISaC @ucalgary.
  • Felix @ucalgary.
  • Felix @uzh.

• Other Interesting Math Blogs.

  • Andreas Steiger.

• Categories.

  • Algebra (17)
  • Algebraic Geometry (1)
  • Analysis (6)
    • Complex Analysis (1)
  • Beautiful Proofs (2)
  • Category Theory (1)
  • Cryptography (1)
  • Linear Algebra (6)
  • Number Theory (8)
    • Algebraic Number Theory (1)
    • Computational Number Theory (3)
  • Uncategorized (1)

• Recent Posts

  • Rigorous Arithmetic in the Arakelov Divisor Class Group of a Number Field.
  • Inequalities.
  • How to Compute the 5-adic Expansion of 1/2; or: Hensel’s Lemma and (Non-Analytic) Newton Iteration.
  • Finding Lattice Points, Finite Abelian Groups, and Explaining Algorithms.
  • Homomorphisms, Tensor Products and Certain Canonical Maps.

• Recent Comments.

  • spielwiese. » blog archive » nancy. on Rigorous Arithmetic in the Arakelov Divisor Class Group of a Number Field.
  • Felix Fontein on Homomorphisms, Tensor Products and Certain Canonical Maps.
  • Shane Steinert-Threlkeld on Homomorphisms, Tensor Products and Certain Canonical Maps.
  • Felix Fontein on The Hasse derivative, part II: Multivariate partial Hasse derivatives.
  • Alexey Maevskiy on The Hasse derivative, part II: Multivariate partial Hasse derivatives.

• Tag Cloud.

  baby steps base change Category Theory Cayley-Hamliton complexification derivative diagonalizable matrices discrete logarithm DLP double dual dual space Euclidean domain Extended Euclidean Algorithm f-representation Faà di Bruno's formula finite abelian group finite cyclic groups functional calculus function field fundamental theorem of algebra giant steps global field greatest common divisor group functors group objects Hasse derivative Identity Theorem infrastructure Jordan decomposition Leibniz rule n-dimensional number field one-dimensional partial derivatives partial Hasse derivatives reduction representable functors Taylor's formula Taylor expansion tensor product topological argument transposition universal property Yondea's lemma Zariski topology

• Archives.

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  • February 2010 (2)
  • January 2010 (3)
  • November 2009 (1)
  • October 2009 (1)
  • August 2009 (4)
  • July 2009 (6)
  • May 2009 (4)

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