$\bullet$ Ricci flow.
$\bullet$ Group actions on Riemannian manifolds.
$\bullet$ Manifolds of positive curvature.
$\bullet$ Singular spaces and convergence of manifolds to singular spaces.
Selected Publications of Burkhard Wilking
$\bullet$ M. Radeschi and B. Wilking. On the Berger conjecture for manifolds all of whose geodesics are closed. Invent. Math., 210(3):911–962, 2017.
$\bullet$ E. Cabezas-Rivas and B. Wilking. How to produce a Ricci flow via Cheeger- Gromoll exhaustion. J. Eur. Math. Soc. (JEMS), 17(12):3153–3194, 2015.
$\bullet$ K. Grove and B. Wilking. A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. Geom. Topol., 18(5):3091–3110, 2014.
$\bullet$ B. Wilking. A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities. J. Reine Angew. Math., 679:223–247, 2013.
$\bullet$ C. Böhm and B. Wilking. Manifolds with positive curvature operators are space forms. Ann. of Math. (2), 167(3):1079–1097, 2008.
$\bullet$ B. Wilking. A duality theorem for Riemannian foliations in nonnegative sectional curvature. Geom. Funct. Anal., 17(4):1297–1320, 2007.
$\bullet$ C. Böhm and B. Wilking. Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature. Geom. Funct. Anal., 17(3):665–681, 2007.
$\bullet$ B. Wilking. Positively curved manifolds with symmetry. Ann. of Math. (2), 163(2):607–668, 2006.
$\bullet$ B. Wilking. Torus actions on manifolds of positive sectional curvature. Acta Math., 191(2):259–297, 2003.
$\bullet$ B. Wilking. Manifolds with positive sectional curvature almost everywhere. Invent. Math., 148(1):117–141, 2002.
$\bullet $ R. Bamler, E. Cabezas-Rivas, and B. Wilking. The Ricci flow under almost non-negative curvature conditions. Inventiones Mathematicae, 217:95–126, July 2019. URL: https://ui.adsabs.harvard.edu/abs/2019InMat.217...95B, doi:10.1007/s00222-019-00864-7.