Impressum:

Clemens Bruschek
Dep. of Mathematics
University of Vienna
Nordbergstr. 15
1090 Vienna, Austria

email:
clemens.bruschek
ATT
univie.ac.at

Publications

Pure Mathematics:

• Arcs, Cords and Felts: Six Instances of the Linearization Principle; together with H. Hauser, American Journal of Mathematics 132, 4.


• Etale neighbourhoods and the normal crossings locus; together with D. Wagner; Expositiones Mathematicae.

Applied Mathematics:

• Verbesserung von Frisch- und Festbetoneigenschaften durch Mischung der Haufwerksporosität von Bindemitteln mittels Approximation der Fuller-Kurve durch Mischen von Kornfraktionen; together with Ch. Niederegger, M. Koppi, H.-P. Schröcker, D. Wagner; appeared in "Beton", vol. 5 (2007), p.220-222.

Dissemination of Mathematical Research

• Ansichtssache Algebra; together with D. Wagner, "Bildwelten des Wissens", Band 7,2; 2010.

Preprints

• Arc spaces and Rogers-Ramanujan Identities, together with H. Mourtada and J. Schepers, preprint 2010, submitted
• Jet Algebras and the Bell Polynomials, preprint 2010, submitted
• A short note on the singular locus of jet spaces, preprint 2010
• Constructing formal neighbourhoods of arcs, preprint 2010

Talks

• Artin's Approximation Theorem revisited: PDF
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Notes

• Notes on Nelson's Nonstandard Analysis (german): Nonstandard Analyis
• Notes on Analytic Number Theory (german): Analytic Number Theory
• Notes on the Sylow Theorem and finite groups of low order (german): Sylow Theorem
• Notes on some special functional equations (german): Functional Equations
• Notes on the Adjunction Formula in complex geometry: Adjunction Formula
• Notes on the dimension of the space of quadrics passing through a canonical curve: Quadrics and Canonical Curves
• Lecture Notes on Combinatorics by Herwig Hauser (german): Combinatorics

Software

• Maple Worksheet to compute uni- and multivariate Bell Polynomials and generating equations for jet resp. arc algebras: BellPolynomialsAndArcs.mws
• Beginning of a SINGULAR library to work with jet and arc spaces: jet_v2.0.lib. A template (TEMPLATE) and an example can be found as well; EXAMPLE. The example especially shows how to create the appropriate ambient rings for dealing with jet algebras.

Pics/Animations

Here are a few animations of algebraic surfaces. The pictures used for producing the gif files have been rendered using the free raytracing programm POV-Ray.

• Zeck
• Himmel und Hoelle

More of these you can find on the homepage of Herwig Hauser. They have been created by Herwig Hauser and Sebastian Gann.