Published
On Stanley-Wilf limit of the pattern 1324
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.
On the secondary Steenrod algebra
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.)
Ein neuer Algorithmus zur Untersuchung der Kohomologie der Steenrod-Algebra
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.
On the structure of P(n)*P(n) for p=2
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).
Eine nichtgeometrische Konstruktion der Spektren P(n) und Multiplikative Automorphismen von K(n)
Abstract:My diploma thesis.