Characteristic cycles of highest weight Harish-Chandra modules for Sp(2n,R), L. Barchini and R. Zierau, preprint

Examples of leading term cycles of Harish-Chandra modules, L. Barchini and R. Zierau, preprint

Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(2n),Sp(2p)x Sp(2q)) and (SO(2n),GL(n)) II, L. Barchini and R. Zierau, J. Pure Appl. Algebra., Vol. 219, Issue 4 (2015), pp. 1103-1121.

Harmonic spinors on reductive homogeneous spaces, S. Mehdi and R. Zierau, in Developments and Retrospectives in Lie Theory, edited by G. Mason, I. Penkov and J. A. Wolf, 2014, Springer.

The Dirac cohomology of a finite dimensional representation, S. Mehdi and R. Zierau. Proc. Amer. Math. Soc. 142 (2014), 1507-1512.

Indefinite harmonic theory and harmonic spinors, L. Barchini and R. Zierau, in Lie Groups: Structure, Actions, and Representations, edited by A. Huckleberry, I. Penkov and G. Zuckerman, Birkhauser, Progress in Mathematics, Vol. 306, 2013.

Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(2n),Sp(2p)x Sp(2q)) and (SO(2n),GL(n)) I, L. Barchini and R. Zierau, J. Pure Appl. Algebra., Vol. 217, Issue 10 (2013), pp. 1807-1824.

Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(n),GL(n)) and (O(n),O(p)xO(q)) II, L. Barchini, William Graham and R. Zierau, J. of Algebra, 345 (2011), Issue 1, 100-108.

Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(n),GL(n)) and (O(n),O(p)xO(q)) I, L. Barchini and R. Zierau, J. of Algebra, 345 (2011), Issue 1, 109-136..

Smooth components of Springer fibers, William Graham and R. Zierau, Ann. Inst. Fourier (Grenoble), 61 (2011), no. 5, 2139-2182..

Certain components of Springer fibers: algorithms, examples and applications, L. Barchini and R. Zierau, in New Developments in Lie Theory and Geometry, edited by C. Gordan, J. Tirao, J. Vargas, and J. Wolf, Contemporary Math, Vol. 491, AMS, 2009.

Conformally invariant systems of differential operators, L. Barchini, A. C. Kable and R. Zierau, Advances in Mathematics, Vol. 221 (2009), no. 3, 788-811.

Conformally invariant systems of differential equations and prehomogeneous vector spaces of heisenberg parabolic type, L. Barchini, A. C. Kable and R. Zierau, Publ. RIMS, Kyoto Univ., Vol. 44 (2008), 749-835.

Certain components of Springer fibers and associated cycles for discrete series representations of SU(p,q) , L. Barchini and R. Zierau, with an appendix by Peter E. Trapa, Representation Theory. vol. (2008), 403-434.

Principal Series Representations and Harmonic Spinors, S. Mehdi and R. Zierau. Adv. Math. 199 (2006), no. 1, 1--28.

Positivity of zeta distributions and small unitary representations, L. Barchini, M. Sepanski and R. Zierau. In The ubiquitous heat kernel, 1-46, Contemp. Math., 398, Amer. Math. Soc., Providence, RI, 2006.

Harmonic spinors on semisimple symmetric spaces, Salah Mehdi and Roger Zierau. Journal of Functional Analysis Vol. 198 (2003), no. 2, pp. 536-557

Domains of Holomorphy and Representations of SL(n,R), Leticia Barchini, Christina Leslie and Roger Zierau. Manuscripta Mathematica Vol. 106, no. 4 (2001), pp. 411-427.

Holomorphic Double Fibration Transforms , Joseph A. Wolf and Roger Zierau. In The Mathematical Legacy of Harish-Chandra. PSPM Vol. 68, Ed. Robert S. Doran and V.S. Varadarajan, AMS 2000.

Linear Cycle Spaces in Flag Domains , Joseph A. Wolf and Roger Zierau, Math. Annalen, Vol 316 (2000), pp. 529-545.

Representations in Dolbeault Cohomology, Roger Zierau, Representation Theory of Lie Groups, Park City Math Institute, vol. 8, AMS, Providence RI, 2000.

Square Integrable Harmonic Forms and Representation Theory , Leticia Barchini and Roger Zierau, Duke Math. Journal, Vol 92, No. 3 (1998), pp. 645-664.