Rose, David

David Rose

Assistant Professor

Phillips Hall 302
davidev@email.unc.edu

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

News

Metcalfe Gives AMS Lecture

Metcalfe Gives AMS Lecture

The American Mathermatical Society held its Fall Southeastern...

Rimanyi Distinguished Professor

Rimanyi Distinguished Professor

Congratulations Professor Richard Rimanyi for being named as...