Matthias Wink

I am an Assistant Professor in the Department of Mathematics at the University of California, Santa Barbara.

Previously, I was a postdoctoral researcher in the Mathematics Münster Cluster of Excellence and a member of the Differential Geometry Group. Before coming to Münster I was a Hedrick Assistant Adjunct Professor in the Department of Mathematics at the University of Califorina, Los Angeles. I received my DPhil from the University of Oxford under the supervision of Andrew Dancer.

I am interested in Riemannian Geometry and Geometric Analysis, e.g., the Bochner Technique, Einstein metrics, Ricci Solitons and Ricci Flow.


CONTACT

Department of Mathematics
South Hall, Room 6607
University of California
Santa Barbara, CA 93106
United States

Email: wink at math.ucsb.edu
Office: 6501


PAPERS

• J. Nienhaus and M. Wink, New expanding Ricci solitons starting in dimension four
  J. Geom. Anal 34, 327 (2024) (arXiv) (DOI)


• J. Nienhaus, P. Petersen, M. Wink and W. Wylie, Holonomy restrictions from the curvature operator of the second kind
  Differential Geom. Appl. 88 (2023), no. 9, 102010 (DOI) (arXiv)


• J. Nienhaus, P. Petersen and M. Wink, Betti numbers and the curvature operator of the second kind
  J. Lond. Math. Soc., 108 (2023), no. 4, 1642-1668 (DOI) (arXiv)


• P. Petersen and M. Wink, Tachibana-type Theorems and special Holonomy
  Ann. Global Anal. Geom. 61, 847-868 (2022) (DOI) (arXiv)


• P. Petersen and M. Wink, Vanishing and Estimation Results for Hodge numbers
  J. Reine Angew. Math. 780 (2021), 197-219 (DOI) (arXiv)


• P. Petersen and M. Wink, The Bochner Technique and Weighted Curvatures
  SIGMA 16 (2020), 064, 10 pages (DOI) (arXiv)


• P. Petersen and M. Wink, New Curvature Conditions for the Bochner Technique
  Invent. Math. 224, 33-54 (2021) (DOI) (arXiv)


• M. Wink, Complete Ricci solitons via estimates on the soliton potential
  Int. Math. Res. Not. IMRN (2021), no. 6, 4487-4521 (DOI) (arXiv)


• M. Wink, Cohomogeneity one Ricci Solitons from Hopf Fibrations
  Comm. Anal. Geom. 31 (2023), no. 3, 625-676. (DOI) (arXiv)

PREPRINTS

• J. Nienhaus and M. Wink, Einstein metrics on the Ten-Sphere
  arXiv preprint (2023) (arXiv)