Dylan Rupel

 

Dylan Rupel

Kenna Visiting Assistant Professor

Ph.D in Mathematics, University of Oregon. 2012
B.S. in Mathematics and Mathematical Sciences, University of California at Santa Barbara. 2007

Email: drupel@nd.edu
Office: 108 Hayes Healy Hall
Phone: (574) 631-8706
Fax: (574) 631-6579


For additional information see Dylan Rupel’s Personal Page.

Research Interests

Quantum, noncommutative, and generalized cluster algebras and their greedy bases; categorification of quantum groups; the geometry and combinatorics of valued quiver representations, Ringel-Hall algebras.

Selected Publications

  • K. Lee, L. Li, D. Rupel, A. Zelevinsky, The existence of greedy bases in rank 2 quantum cluster algebras. Submitted, available on the arXiv.
  • K. Lee, L. Li, D. Rupel, A. Zelevinsky, Greedy bases in rank 2 quantum cluster algebras. Proc. Natl. Acad. Sci. 111 (2014) no. 27, pp. 9676–9679.
  • D. Rupel, The Feigin tetrahedron. Submitted, available on the arXiv.
  • D. Rupel, Greedy bases in rank 2 generalized cluster algebras. Submitted, available on the arXiv.
  • A. Berenstein, D. Rupel, Quantum cluster characters of Hall algebras. Submitted, available on the arXiv.

Please direct questions and comments to: drupel@nd.edu