Karin Melnick
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Karin Melnick | |
|---|---|
| Born | 1977 (age 48–49) Marin County, California, U.S. |
| Alma mater | PhD, 2006 University of Chicago |
| Known for | Differential geometry |
| Scientific career | |
| Fields | Mathematics |
| Institutions | |
| Doctoral advisor | Benson Farb |
Karin Melnick (born 1977) is an American mathematician and Professor at the University of Luxembourg.[1] She specializes in differential geometry and was awarded the 2020–2021 Joan and Joseph Birman Fellowship for Women Scholars by the American Mathematical Society.[2]
Melnick's primary research area is in differential-geometric aspects of rigidity, where she focuses on global and local results relating the automorphisms of a differential-geometric structure with the geometric and topological properties of the space.[2] In addition, she is a leader in research in Lorentzian geometry and has done substantial work on the Lorentzian Lichnerowicz conjecture.[2]
Melnick also has research interests in conformal pseudo-Riemannian structures, parabolic Cartan geometries in general, and smooth dynamics.[3]
Education
Melnick received her PhD in Mathematics from the University of Chicago in 2006, where she also earned her Master of Science in Mathematics in 2000, while working under the guidance of doctoral advisor Benson Farb.[2][4] Her dissertation research focused on compact Lorentz manifolds with local symmetry.[4] Prior to her graduate studies, Melnick received her Bachelor of Arts, also in Mathematics, from Reed College in 1999.[3]