Shashank Kanade

Articles
Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
with M. C. Russell, S. Tsuchioka, S. Ole Warnaar
Coloured invariants of torus knots, \(\mathcal{W}\) algebras, and relative asymptotic weight multiplicities
Submitted.
Lepowsky–Wilson \(Z\)-algebras and Rogers–Ramanujan-type identities: Recent advances
Submitted.
Characters of logarithmic vertex operator algebras and coloured invariants of torus links
Proc. Amer. Math. Soc. Ser. B (Accepted).
On the \(\mathrm{A_2}\) Andrews–Schilling–Warnaar identities
FPSAC 2023, Contributed Talk
Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities
with K. Baker, M. C. Russell, C. Sadowski
Algebr. Comb. (2024)
Coloured \(\mathfrak{sl}_r\) invariants of torus knots and characters of \(\mathcal{W}_r\) algebras
Lett. Math. Phys. (2023)
Completing the \(\mathrm{A}_2\) Andrews–Schilling–Warnaar identities
with M. C. Russell
Int. Math. Res. Not. IMRN (2023)
On certain identities involving Nahm-type sums with double poles
with A. Milas and M. C. Russell
Adv. in Appl. Math. (2023)
On \(q\)-series for principal characters of standard \(A_2^{(2)}\)-modules
with M. C. Russell
Adv. Math. (2022)
\(A_{2l}^{(2)}\) at level \(-l-\frac{1}{2}\)
J. Algebra (2022)
Gluing vertex algebras
with T. Creutzig and R. McRae
Adv. Math. (2022)
Braided Tensor Categories related to \(\mathcal{B}_p\) Vertex Algebras
with J. Auger, T. Creutzig and M. Rupert
Commun. Math. Phys. (2020)
A variant of IdentityFinder and some new identities of Rogers-Ramanujan-MacMahon type
with D. Nandi, M. C. Russell
Ann. Comb., Combinatory Analysis 2018: In Honor of George Andrews’ 80th Birthday
Searching for modular companions
Meh.
NGK and HLZ: Fusion for Physicists and Mathematicians
with D. Ridout
Springer INdAM Series: Affine, Vertex and W-algebras (2020)
Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1|2)\) minimal models
with T. Creutzig, T. Liu, D. Ridout
Nucl. Phys. B. (2019)
Universal two-parameter even spin \(\mathcal{W}_\infty\)-algebra
with A. R. Linshaw
Adv. Math. (2019)
Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
with M. C. Russell
Electron. J. Combin. (2019)
Representation theory of \(L_k(\mathfrak{osp}(1|2))\) from vertex tensor categories and Jacobi forms
with T. Creutzig and J. Frohlich
Proc. Amer. Math. Soc. (2018)
Tensor categories for vertex operator superalgebra extensions
with T. Creutzig and R. McRae
Mem. Amer. Math. Soc. (Accepted)
Schur-Weyl Duality for Heisenberg cosets
with T. Creutzig, A. R. Linshaw and D. Ridout
Transf. Groups. (2019)
Simple current extensions beyond semi-simplicity
with T. Creutzig and A. R. Linshaw
Commun. Contemp. Math. (2020)
On a Koszul complex related to the principal subspace of the basic vacuum module for \(A^{(1)}_1\)
J. Pure and Appl. Alg. (2018)
Structure of certain level \(2\) standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities
Ramanujan J. (2018)
IdentityFinder and some new identities of Rogers-Ramanujan type
with M. C. Russell
Exp. Math. (2015)
Ghost series and a motivated proof of the Andrews-Bressoud identities
with J. Lepowsky, M. C. Russell and A. V. Sills
J. Combin. Theory Ser. A. (2017)
A motivated proof of the Göllnitz-Gordon-Andrews identities
with B. Coulson, J. Lepowsky, R. McRae, F. Qi, M. C. Russell and C. Sadowski
Ramanujan J. (2017)