# Mikkel H. Brynildsen

Welcome to my homepage on AAU. My name is Mikkel Haggren Brynildsen, I am a Ph.d. student
in mathematical physics at the Department of Mathematical Sciences under the supervision of Horia D. Cornean.

My field of study is mathematical quantum mechanics, in particular magnetic effects on crystals.

### Contact:

The best way to reach me is by email at
mikkelhb(at)math.aau.dk

My office:

Institut for Matematiske Fag,

Fredrik Bajers Vej 7,

Bygning: G, Lokale: G1-112,

9220 Aalborg Ø, DK

(Office) Phone: 99408859

### Articles

#### Published:

On the Verdet constant and Faraday rotation for graphene-like materials,

authors: Mikkel H. Brynildsen and Horia D. Cornean.

Rev. Math. Phys. 25, 1350007 (2013) [28 pages] DOI: 10.1142/S0129055X13500074,
published 8 May 2013.

Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation”, Phys. Rev. B. 86, 235438 (2012)

authors: Pedersen, Jesper Goor; Brynildsen, Mikkel Haggren; Cornean, Horia; Pedersen, Thomas Garm.

Physical Review B (Condensed Matter and Materials Physics), Vol. 86, No. 23, 26.12.2012.

### Talks

*On the Verdet constant and faraday rotation for graphene-like materials*

Stockholm university, December 8, 2012,

Mathematics-towards-industry Weekend, Quantum graphs in mathematical physics and applications, QGRAPH Network meeting,

slides,
link.

#### Preprints:

*Towards spectral gaps in graphene in a weak magnetic field*

Institut Mittag-Leffler, Stockholm, Sweden, November 27, 2012,

Hamiltonians in Magnetic Fields program, 3 September - 15 December 2012

slides,
link.

*On the Verdet constant and Faraday rotation for graphene-like materials*

International congress on mathematical physics ICMP12, Aalborg, August 3-4, 2012.

Young Researcher Symposium, contributed talk,
link.

### Other web sites at AAU with info about me:

Profile page on AAU

Profile page on the Department of Mathematical Sciences

### Teaching:

#### Efterår 2013:

*Første Studieår ved Det Teknisk-Naturvidenskabelige og Det Sundhedsvidenskabelige Fakultet
* -
Lineær Algebra - Hold 1.
#### Forår 2012:

*School of Engineering and Science* - Byggeri og Anlæg,
Maskin og Produktion,
Calculus - Hold 2.
#### Before 2012:

While finishing my master, I have been tutor at the first year for engineers and mathematicians in the courses Calculus, Discrete Mathematics, Linear Algebra, repetition course in Mathematics and a general brush-up course in mathematics for starting engineers. Furthermore I have been tutor in a course in Fourier series, solving diff. equations with Laplace transform and complex analysis for 2nd year engineers.

In the fall of 2011 I have been tutor again in Fourier series, Laplace transform and complex analysis for engineers, I have also been supervisor for two project groups for 3rd semester mathematics' students with the subject optimization.

### Non-academic life

I have a daughter with my girlfriend Sanne, and in my spare time I play guitar.