Faculty Biography

  Robert Ream, Ph.D.

  Visiting Assistant Professor
  Department of Mathematics

  Clark University
  Worcester, MA 01610-1477
  Phone: 508-793-7391
  Email: rream@clarku.edu



                                             


Education

Robert Ream obtained his Ph.D. in mathematics from the University of California, Santa Barbara in 2014. He also received an M.S. in mathematics and B.S. degrees in both math and physics from Utah State University. He arrived at Clark in 2019.

Current Research and Teaching

Professor Ream’s research area, broadly speaking is geometric analysis. Geometric analysts seek to use analytic tools to prove existence, or non-existence, of various geometric structures. In particular, he is interested in the existence of minimal surfaces which have minimal area for a given constraint. Concrete examples of minimal surfaces are soap films, which have least area of all surfaces with a fixed boundary. Robert is also interested in special Kähler metrics. He has taught a variety of courses at Clark, including Discrete Math, Honors Calculus, and Modern Algebra.

Selected Publications

Gideon Maschler and Robert Ream. On the completeness of some Bianchi type A and related Kähler–Einstein metrics. Journal of Geometric Analysis, 2021. doi:10.1007/s12220-020-00597-7

Robert Ream. The adjunction inequality for Weyl-harmonic maps. Complex Manifolds, 7(1):129–140, 2020. doi:10.1515/coma-2020-0007

John Douglas Moore and Robert Ream. Minimal two-spheres of low index in manifolds with positive complex sectional curvature. Mathematische Zeitschrift, 291(3-4):1295–1335, 2019. doi:10.1007/s00209-018-2150-x

Gideon Maschler and Robert Ream. Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics, 2021. arXiv:2010.09218

Amir Babak Aazami and Robert Ream. Killing vector fields on Riemannian and Lorentzian  3-manifolds, 2020. arXiv:2011.01144