Geometry & Topology

The Geometry & Topology Research Group at Syracuse University focuses on low-dimensional topology, Knot Theory, Riemannian Geometry, and Topological K-Theory. The Geometry and Topology seminar meets Thursday 2–3 in Physics 233, unless stated otherwise. It is organized jointly by Peter Horn, Stephan Wehrli, and William Wylie.


J_Ucci Name: Jack Ucci
Office: 306 B Carnegie Library
Phone: 1.315.443.1492
Website: N/A
Research: Professor Ucci is using the Atiyah-Hirzebruch spectral sequence and the geometry of symmetric products to study the topological K-theory of Eilenberg-MacLane spaces. He is also applying K-theory and equivariant homotopy theory to investigate the suspension order of a finite product of projective spaces.
S_Wehrli Name: Stephan Wehrli
Office: 304 B Carnegie Library
Phone: 1.315.443.1491
Research: Low-dimensional Topology and Homology Theories for Knots/Links.
W_Wylie Name: William Wylie
Office: 206 C Carnegie Library
Phone: 1.315.443.1469
Research: Riemannian geometry and geometric analysis. Particularly Ricci solitons, Einstein metrics, positive curvature, and curvature for manifolds with density.
Y_Yuan Name: Yuan Yuan
Office: 313 F Carnegie Library
Phone: 1.315.443.1558
Website: N/A
Research: Several complex variables and Kähler geometry, in particular rigidity problems and canonical Kähler metrics.


S_Chan Name: Shan Tai Chan
Office: 313D Carnegie Library
Phone: 1.315.443.1555
Website: N/A
Research: Shan Tai Chan is a Philip T. Church Postdoctoral Fellow who earned Ph.D. in Mathematics from University of Hong Kong (2016). He works in complex geometry and analysis in several complex variables.

Graduate Students

S_Chan Name: Casey Necheles
Office: 104B Archbold
Phone: 1.315.443.3353
Website: N/A
Advisors: Professor Miller and Professor Wehrli.

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