Publications

Papers

Counting Special Monomials, With Chris Monico, 2008, pdf-file

 

Separating Invariants for Modular p-Groups and Groups acting diagonally, with Müfit Sezer, Mathematical Research Letters, to appear.

 

On the Hilbert Ideal, 2007. pdf-file

 

Linear Control Systems with Polynomial Input-Output Functions, with Clyde F. Martin, 2007.

 

Invariants of Pseudo-Random Number Generators, with Clyde F. Martin, Communications in Information and Systems 8 (2008), 39-54.

 

The Invariants of Modular Indecomposable Representations of $\Z_{p^2}$, with Müfit Sezer, Mathematische Annalen,

   341 (2008), 575-587.

 

Degree Bounds and the Regular Representation, 2007. pdf-file

 

Inseparable Extensions of Algebras over the Steenrod Algebra with Applications to Modular Invariant Theory

   of Finite Groups II, 2007. pdf-file

The Noether Map II, with Müfit Sezer, Proceedings of the AMS 135 (2007), 2347-2354. MR2008c:20012

The Noether Map I, with Müfit Sezer, Forum Mathematicum 21 (2009), 567-758.

Degree Bounds. An Invitation to Postmodern Invariant Theory, Topology and its Applications 154 (2007), 792-814. MR2007k:13011

Inseparable Extensions of Algebras over the Steenrod Algebra with Applications to Modular Invariant Theory of Finite Groups, 

    Transactions of the AMS, 358 (2006), 4689-4720. MR2007e:55011

The Existence of Thom Classes, Journal of Pure and Applied Algebra 191 (2004), 265-283. MR2005a:13013

Comparing the Depths of Rings of Invariants, Centre de Recherches Mathématiques, CRM Proceedings and Lecture Notes 35

    (2003), 189-192  MR2005a:13012

The Transfer in the Invariant Theory of Modular Permutation Representations II, Canadian Mathematical  Bulletin 45

    (2002), 272-283. MR2003d:13004

The Lasker-Noether Theorem in the Category U(H*), Journal of Pure and Applied Algebra 163 (2001) 221-233. MR2002e:13013

The Transfer in the Invariant Theory of Modular Permutation Representations, Pacific Journal of Mathematics 199

    (2001) 121-136. MR2002g:13012

Unstable Cohen-Macaulay Algebras, Mathematical Research Letters 8 (2001) 347-360. MR2002d:13030

Inverse Invariant Theory and Steenrod Operations, Memoirs of the AMS Vol. 146,  No. 692, AMS, Providence RI

    2000. MR2000m:55023

Integral Extensions of Unstable Algebras over the Steenrod Algebra, Forum Mathematicum 12 (2000) 155-166. MR2001a:13009

Localizations over the Steenrod Algebra. The lost Chapter, Mathematische Zeitschrift 235 (2000) 353-378.  MR2001m:16033

Rings of Generalized and Stable Invariants and Classifying Spaces of Compact Lie Groups (with Frank Neumann and Larry Smith),

   in: Higher Homotopy Structures in Topology and Physics, edited by John  McCleary, Contemporary Mathematics 227, AMS,

        Providence RI 1999. MR2000a:55038

The Lasker-Noether Theorem for P*-invariant Ideals (with Larry Smith), Forum Mathematicum 10 (1998) 1-18. MR99c:13007

Invariants of some Abelian p-Groups in Characteristic p, Proceedings of the AMS 125 (1997) 1921-1931. MR97i:13004

Polynomial Invariants of Groups Associated to Configurations of Hyperplanes over Finite Fields (with  Larry Smith), Journal of

   Pure and Applied Algebra 122 (1997) 87-106. MR99c:13009

Rings of Generalized and Stable Invariants of Pseudoreflections and Pseudoreflection Groups (with Frank Neumann and Larry Smith),

    Journal of Algebra 182 (1996) 85-122.  MR97h:13004

Cubic Invariants of GL(2, Z), Communications in Algebra 24 (1996) 247-258. MR97d:20058

Monographs

Invariant Theory, Student Mathematical Library 36, AMS, Providence RI, 2007. MR2007m:13007

Invariant Theory of Finite Groups (with Larry Smith), Mathematical Surveys and Monographs 94, AMS,  Providence RI 2002.

    MR2002k:1301

 Lecture Notes and other Papers

Rings of Invariants Generated by the Image of $\phi_G$, Lubbock 2006.

Sind die Nullstellen von $Q(y)=y^3 -8y^2 +16y -2(3+\sqrt{5})$ konstruierbare Zahlen?, Magdeburg 1997. pdf-file

The Invariants of the Symplectic Groups, Appenzell 1998. pdf-file

Functorial Methods in Representation Theory. 24 Lectures by G. J. Zuckerman, Yale University, New Haven CT 2000.

Habilitationsschrift

Inverse Invariant Theory and Steenrod Operations, Memoirs of the AMS Vol. 146,  No. 692, AMS, Providence RI 2000.

MR2000m:55023

Doctoral Thesis

Konfigurationen von Geraden und einer Quadrik mit Baumauflösungen - ein Bilderbuch -, Universität Göttingen1992.

(advisor: T. tom Dieck)

Diploma Thesis

Über Einbettungen und Immersionen gerahmter Mannigfaltigkeiten im metastabilen Bereich, Universität Göttingen1988.

(advisor: P. Löffler)

  MDN                                                                                                 home - talks - reviews -memoir - invariant theory of finite groups