Date: May 2021

*Abstract:*
We use the Mansour-Vainshtein theory of kernel shapes
to decompose the set of 1324-avoiding permutations of length n into small pieces that are governed by some kernel shape λ.
This allows us to write down a systematic procedure for finding a lower bound for approximating the Stanley-Wilf limit of the pattern 1324. We use an implementation of this method in the OpenCL framework to compute such a bound explicitly.

Date: Nov 2010

*Abstract:*
We introduce a new model for the secondary Steenrod algebra
at the prime 2
which is both smaller and more accessible than the
original construction of H.-J. Baues.
We also explain how BP can be used to
define a variant of
the secondary Steenrod algebra at odd primes.

(Published in Volume 18 of the New York Journal of Mathematics.)

Appeared:
Logos Verlag Berlin 2002, ISBN 3-89722-881-5

File(s):

Date: Feb 2002

*Abstract:*
My PhD thesis. It develops an improved method for the computation of
the minimal resolution of the Steenrod algebra. The algorithm is based on some
well-known vanishing theorems for the cohomology of its sub Hopf algebras.

Appeared:
Trans. Amer. Math. Soc. 354

File(s): pnpnalg.dvi

Date: undated

*Abstract:*
We show how the non-commutativity of P(n) for p=2
leads to complications in the algebra of cooperations
P(n)_{*}P(n).

Appeared:
Johann Wolfgang Goethe Universität Frankfurt, 1995

File(s): diplom.dvi

Date: Oct 1995

*Abstract:*My diploma thesis.