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)