John Olsen
Address
Snogebæksvej 39, room 14
8210 Aarhus V
Denmark
Phone: 0045 82506644
Email: johno@imf.au.dk
Homepage: http://www.johno.dk
Personal Details
Gender: Male.
Date of birth: 22/11 1979.
Place of birth: Frederikshavn, Denmark.
Citizenship: Danish.
Education
1986–1993
Primary school Astrup, Denmark.
1994–1995
Primary school Sindal, Denmark.
1995–1998
High School Hjørring, Denmark.
Mathematical side.
Mathematics(A), Physics(A), Chemistry(A).
1999–2000
Mathematics and chemistry studies, Aarhus University.
2000–
Mathematics and physics studies, Aarhus University.
2002
Bac.scient. mathematics, Aarhus University.
Bachelor project: Schwarzschild metrikken (The Schwarzschild metric).
Advisor: Lektor Marcel Bökstedt.
2002–
Graduate studies at the Department of Mathematics, Aarhus University.
Courses taken at the University of Aarhus
Undergraduate courses
Fall 1999
Mathematics 10, Mathematics 11, Chemistry 11.
Spring 2000
Mathematics 11, Physics 1A, Chemistry 12.
Fall 2000
Complex Function Theory, Algebra 1,
Spring 2001
Geometry 1, sS1, Physics 102.
Spring 2002
Analysis 1.
Fall 2003
Introduction to Programming.
Graduate courses
Fall 2001
Geometry 2: Connections. Geodesics and the Hopf Rivow theorem. Hyperbolic manifolds. Curvature. Isometries. Geometry of submanifolds of
n
. Theorems of Rauch, Cartan-Hadamard and Bonnet-Myers.
Dupont: Differential Geometry (Lecture notes No 62, Århus)
Topology 1: Homological algebra. de Rham cohomology of subsets of Euclidean space and manifolds. Mayer-Vietoris theorem. Integration, Stoke’s
Theorem.
Madsen, Tornehave: From Calculus to Cohomology.
Introduction to Analytical Number Theory: Distribution of primes.
Rademacher’s formula for the partition function.
Notes by Bentzen.
Spring 2002
Geometric Structures on Surfaces: Hyperbolic manifolds. Covering spaces
and the fundamental group. Hyperbolic trigonometry. Teichmüller theory
of hyperbolic surfaces.
Ratcliffe: Foundations of Hyperbolic Manifolds.
Fall 2002
Morse Theory: Morse theory on finite dimensional manifolds. Morse theory on the path space of a manifold. The moduli space of flow lines. The
classifying space of a Morse function.
Milnor: Morse Theory, Lectures on the h-Cobordism Theorem. Cohen:
Topics in Morse Theory: Lecture Notes.
Geometric Quantization: Symplectic manifolds. Hamiltonian and Lagrangian mechanics. Symplectic reduction. Prequantization.
Woodhouse: Geometric Quantization.
Reading Course in Comparison Geometry: Injectivity radius. The Toponogov Theorem.
Cheeger, Ebin: Comparison Theorems in Riemannian Geometry.
Spring 2003
Algebra 2: Factorisation theory. Theory of field extensions. Galois Theory. Theory of modules over principal ideal domains. Classification of
finite commutative groups. The Jordan normal form for matrices.
Jantzen: Algebra II.
Curvature and Characteristic Classes: Vector bundles. Principal G-bundles.
Connections and curvature of vector bundles and principal G-bundles.
Chern-Weil theory. Pontrajagin, Euler and Chern classes. The Gauss
Bonnet Theorem. Cohomology of Homogeneous Spaces.
Dupont: Fibre Bundles and Chern-Weil Theory. (Lecture notes No 69,
Århus)
Riemann Surfaces: Sheaf cohomology, the Dolbeault theorem, finiteness theorem. The Riemann Roch Theorem. The Serre Duality Theorem.
Mittag-Leffler distributions. Hodge Theory of compact Riemann surfaces.
Theorems of Abel and Jacobi.
Forster: Lectures on Riemann Surfaces.
Fall 2003
Homology and Homotopy: The fundamental group. Van Kampen’s theorem. Simplicial and singular homology. CW-complexes and cellular homology. Cohomology and the Universal Coefficient theorem. Künneth
theorem and products. Duality theorems.
Hatcher: Algebraic Topology.
The Stable Moduli Space of Riemann Surfaces: Simplicial sets. Classifying spaces of groups and categories. Cobordism and spectra. McDuff
and Segal’s group completion theorem. Madsen and Weiss’ proof of the
Mumford conjecture.
Notes by Madsen.
Spring 2004
Homotopy Theory: Higher homotopy groups. Theorems of Whitehead
and Hurewicz. Fibrations. The Serre spectral sequence. Serre’s finiteness
theorem.
Hatcher: Algebraic Topology and Hatcher: Spectral sequences in Algebraic Topology.
Other Activities
08/2001
Danish Mathematical Society Summer School.
08/2002
Summer School Nordfjordeid, Norway. Title: Motivic Homotopy Theory.
06/2003
SUP-symposium, University of Oslo, Norway.
11/2003
Workshop “Geometry and Global Analysis”, DTU, Denmark.
01/2004
Ski og Matematikk, Rondane, Norge.
Working Experience
1990–1993
Worked as a newspaper deliverer at Nordjysk Distribution and Vendsyssel Tidende, Denmark.
06/1996–05/1998 Worked as a delivery boy at the firm of solicitors AdvoNord in Hjørring,
Denmark.
06/1998–09/1998 Employed at Berendsen Textil Service in Hjørring, Denmark.
06-1997–01/1999 Employed at Hjørring Drejeteknik in Astrup, Denmark.
04/1999–08/1999 Civil service at Studenter Samfundet, Aalborg University.
Studenter Samfundet is the students community at Aalborg University.
Alternative for military service: The work was study related office work.
03/2000–07/2001 Employed at Post Danmark as a mailman.
09/2001–08/2002 Did coaching for a high school student in mathematics.
2002
Responsible for ”Natur i teltet”, Department of Mathematics, Aarhus
University.
09/2002–06/2004 Responsible for ”Besøgsservice”, Department of Mathematics, Aarhus
University.
06/2003
”Mattetivoli”, University of Oslo.
Language Knowledge
Danish
Native.
English
Fluent.
German
Very good.
Computer Skills
Linux
Advanced knowledge of typesetting with LaTeX. Advanced knowledge of
Staroffice. Some knowledge of Maple.
Windows
Advanced knowledge of working with Office. Some knowledge of Maple.
Other Activities
1988–1997
Played badminton in ASIF and Hjørring BK.
1996–
Running.
1997–1999
Member of HGF Athletics.
1999–
Member of Aarhus 1900 Athletics middle and long distance group.
02/2000–
Member of Eulers Venner, the community of mathematicians at the Department of Mathematics, Aarhus University.
02/2001–02/2003 Member of the board of Eulers Venner.
02/2002–02/2003 Chairman of Eulers Venner.
09/2001–09/2003 Member of the committee 2.delsudvalget, Department of Mathematics,
Aarhus University.
The committee deals with subjects concerning graduate studies and courses.
02/2002–02/2004 Member of the committee Lokaleudvalget, Department of Mathematics,
Aarhus University.
The committee deals with the distribution of offices and premises in
general.
2002
Member of Aarhus 1900 Triathlon.
2002–
Cycling.
Aarhus, 26th January 2004