Shashank Kanade
Home
Research
Teaching
MISC
Research Interests
I am currently interested in problems involving representation theory of vertex operator algebras, tensor categories and integer partition identities.
Articles
[E]: Expository [C]: Conference Proceedings
Completing the \(\mathrm{A}_2\) Andrews-Schilling-Warnaar identities
+ M. C. Russell
arXiv:2203.05690
On certain identities involving Nahm-type sums with double poles
+ A. Milas and M. C. Russell
Submitted.
arXiv:2109.01909
\(A_{2l}^{(2)}\) at level \(-l-\frac{1}{2}\)
Submitted.
arXiv:2008.00108
[C]
Searching for modular companions
Meh.
arXiv:1902.05199
Maple Code
Output
On \(q\)-series for principal characters of standard \(A_2^{(2)}\)-modules
+ M. C. Russell
Adv. Math. (Accepted)
arXiv:2010.01008
Gluing vertex algebras
+ T. Creutzig and R. McRae
Adv. Math. (Accepted)
arXiv:1906.00119
Braided Tensor Categories related to \(\mathcal{B}_p\) Vertex Algebras
+ J. Auger, T. Creutzig and M. Rupert
Commun. Math. Phys. (Accepted)
Link to Article
arXiv:1906.07212
[C]
A variant of IdentityFinder and some new identities of Rogers-Ramanujan-MacMahon type
+ D. Nandi, M. C. Russell
Ann. Comb., Combinatory Analysis 2018: In Honor of George Andrews’ 80th Birthday
Link to Article
arXiv:1902.00790
[E, C]
NGK and HLZ: Fusion for Physicists and Mathematicians
+ D. Ridout
Springer INdAM Series: Affine, Vertex and W-algebras (2020)
Link to Article
arXiv:1812.10713
Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1|2)\) minimal models
+ T. Creutzig, T. Liu, D. Ridout
Nucl. Phys. B. (2019)
Link to Article
arXiv:1806.09146
Universal two-parameter even spin \(\mathcal{W}_\infty\)-algebra
+ A. R. Linshaw
Adv. Math. (2019)
Link to Article
arXiv:1805.11031
Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
+ M. C. Russell
Electron. J. Combin. (2019)
Link to Article
arXiv:1803.02515
Maple Code
Representation theory of \(L_k(\mathfrak{osp}(1|2))\) from vertex tensor categories and Jacobi forms
+ T. Creutzig and J. Frohlich
Proc. Amer. Math. Soc. (2018)
Link to Article
arXiv:1706.00242
Tensor categories for vertex operator superalgebra extensions
+ T. Creutzig and R. McRae
Mem. Amer. Math. Soc. (Accepted)
arXiv:1705.05017
Schur-Weyl Duality for Heisenberg cosets
+ T. Creutzig, A. R. Linshaw and D. Ridout
Transf. Groups. (2019)
Link to Article
arXiv:1611.00305
Simple current extensions beyond semi-simplicity
+ T. Creutzig and A. R. Linshaw
Commun. Contemp. Math. (2020)
Link to Article
arXiv:1511.08754
On a Koszul complex related to the principal subspace of the basic vacuum module for \(A^{(1)}_1\)
J. Pure and Appl. Alg. (2018)
Link to Article
Structure of certain level \(2\) standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities
Ramanujan J. (2018)
Link to Article
IdentityFinder and some new identities of Rogers-Ramanujan type
+ M. C. Russell
Exp. Math. (2015)
Link to Article
arXiv:1411.5346
Maple Code
Ghost series and a motivated proof of the Andrews-Bressoud identities
+ J. Lepowsky, M. C. Russell and A. V. Sills
J. Combin. Theory Ser. A. (2017)
Link to Article
arXiv:1411.2048
A motivated proof of the Göllnitz-Gordon-Andrews identities
+ B. Coulson, J. Lepowsky, R. McRae, F. Qi, M. C. Russell and C. Sadowski
Ramanujan J. (2017)
Link to Article
arXiv:1411.2044