Rose, David

David Rose

Assistant Professor

Phillips Hall 302

Research Interests

Low-dimensional topology, representation theory, homological algebra, category theory


Professional background

BS, The College of William and Mary, 2006; CASt Part III, Christ's College, University of Cambridge, 2007; Ph.D., Duke University, 2012; Busemann Assistant Professor, Postdoc, University of Southern California, 2012-2016


Research Synopsis

I am broadly interested in low-dimensional topology, representation theory, and their interactions. My current work aims to prove structural results concerning homological and quantum invariants of knots and links, with an eye towards topological applications. I am also interested in various related structures, for example, categorified quantum groups, quantum invariants of 3-manifolds, skein modules, and in the homological algebra underlying their study.


Representative Publications

Sutured Annular Khovanov-Rozansky Homology
H. Queffelec and D.E.V. Rose,
Transactions of the American Mathematical Society, 370, 1285-1319, 2018

The Sl(N) Foam 2-Category: A Combinatorial formulation of Khovanov-Rozansky Homology via Categorical Skew Howe Duality
H. Queffelec and D.E.V. Rose,
Advances in Mathematics, 302, 1251-1339, 2016

Deformations of Colored Sl(N) Link Homologies Via Foams
D.E.V. Rose and P. Wedrich,
Geometry & Topology, 20, 3431–3517, 2016


McCombs Awarded Tanner Award

McCombs Awarded Tanner Award

Congratulations to Mark McCombs, awarded the Tanner Award for...

Mucha Receives Award

Mucha Receives Award

The Office of Postdoctoral Affairs at UNCis pleased to announce...