Ole Jacob Broch

Contact information: Office: Room 934 in Sentralbygg II. Phone: (+47) 73 55 02 56. Fax: (+47) 73 59 35 24. E-mail: olejacb at math.ntnu.no Mailing address: Department of mathematical sciences, Gløshaugen, NTNU, N-7491 Trondheim, Norway.

Research

Published

• O. J. Broch, Extension of internally bilipschitz maps in John disks, Ann. Acad. Sci. Fenn. Math. 31 (2006), 13-30.
• O. J. Broch, Quadrilaterals and John disks, Comput. Methods Funct. Theory 4 (2004), 419-434.

• O. J. Broch, Internal distances and John domains [pdf] [ps], submitted.
• O. J. Broch, On reflections in Jordan curves [pdf] [ps] , submitted.
• O. J. Broch, Remarks on conformal and quasiconformal maps onto John domains, Preprint (2005).
• O. J. Broch, Bloch functions and quasidisks, Preprint (2005).
• O. J. Broch, Strong harmonic quasisymmetry, Preprint (2004).

Geometry of John disks. Read the press release(!?) about the thesis (in Norwegian).

My supervisor was Kari Hag.

Cand. scient. (master's) thesis

On the Yoccoz puzzle and iteration of some multi-valued functions. ( Note: In Norwegian. All figures are missing.)

(Slides for) lectures and presentations

• On reflections in Jordan curves, 25 min. talk at CMFT 2005. (Abstract)
• Geometry of John disks, part of the defence of my dr. scient. thesis.
• Regularity of domains and extension of maps, trial lecture for my dr. scient. thesis (prøveforelesning).

Teaching

I have taught, or been teaching assistant for, the following courses:

Autumn 2005: MA1101 Basic analysis I / MA6101 Basic analysis I
Spring 2005: MA0003 Brukerkurs i matematikk for informatikere.
24.-30. July 2003: Repetisjonskurs i SIF5003 (matematikk 1).
Spring 2003: Øvingslærer i SIF5005 (matematikk 2) for O,N,S-Prod.utv.
Autumn 2002: Øvingslærer i SIF5003 for E7 og F2 (matematikk 1).
Autumn 2001: Øvingslærer i SIF5003 Matematikk 1 for E3, E5, E6, SDK og SEM.
8.-15. August 2001: Oppfriskningskurs i matematikk.
Spring 2001: MNFMA219 Reell analyse.