## Editorial Work

I am currently on the Editorial Board of the Canadian Journal of Mathematics, the Canadian Mathematical Bulletin, Algebras and Representation Theory, and PUMP Journal of Undergraduate Research. In addition, I have co-edited the following volumes.

- Perspectives in Representation Theory (eds. with Pavel Etingof and Mikhail Khovanov), Contemporary Mathematics
**610**, Amer. Math. Soc., Providence, RI, 2014. - Geometric Representation Theory and Extended Affine Lie Algebras (eds. with Erhard Neher and Weiqiang Wang), Fields Institute Communications
**59**, Amer. Math. Soc., Providence, RI, 2011. - Categorification in Representation Theory (eds. with Aaron Lauda and Anthony Licata), International Journal of Mathematics and Mathematical Sciences
**2010**, Hindawi, 2010.

## Publications and preprints

- The quantum isomeric supercategory, 2022. (arXiv)
- Quantum diagrammatics for
*F*_{4}(with Bruce W. Westbury), 2022. (arXiv) - Diagrammatics for
*F*_{4}(with Raj Gandhi and Kirill Zainoulline),*Bulletin of the London Mathematical Society*, to appear. (DOI, arXiv) - Categorification of the elliptic Hall algebra (with Youssef Mousaaid),
*Documenta Mathematica***27**(2022), 1225–1273. (DOI, arXiv) - Affine oriented Frobenius Brauer categories (with Alexandra McSween),
*Communications in Algebra*, to appear. (DOI, arXiv) - Quantum Frobenius Heisenberg categorification (with Jonathan Brundan and Ben Webster),
*Journal of Pure and Applied Algebra***226**(2022), no. 1, Paper No. 106792, 50 pp. (DOI, arXiv) - Frobenius W-algebras and traces of Frobenius Heisenberg categories (with Michael Reeks),
*Journal of Algebra and its Applications***21**(2022), no. 2, Paper No. 2250035, 39 pp. (DOI, arXiv) - Affinization of monoidal categories (with Youssef Mousaaid),
*Journal de l'École polytechnique — Mathématiques***8**(2021), 791–829. (DOI, arXiv) - Frobenius nil-Hecke algebras (with John Stuart),
*Pacific Journal of Mathematics***311**(2021), no. 2, 455–473. (DOI, arXiv) - Group partition categories (with Samuel Nyobe Likeng),
*Journal of Combinatorial Algebra***5**(2021), no. 4, 269–406. (DOI, arXiv) - Foundations of Frobenius Heisenberg categories (with Jonathan Brundan and Ben Webster),
*Journal of Algebra***578**(2021), 115–185. (DOI, arXiv) - Embedding Deligne's category Rep(
*S*) in the Heisenberg category (with Samuel Nyobe Likeng, appendix with Christopher Ryba),_{t}*Quantum Topology***12**(2021), no. 2, 211–242. (DOI, arXiv) - String diagrams and categorification,
*Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification*, Progress in Mathematics**337**(2021), 3–36. (DOI, arXiv) - Heisenberg and Kac-Moody categorification (with Jonathan Brundan and Ben Webster),
*Selecta Mathematica***26**(2020), Paper No. 74, 62 pp. (DOI, arXiv) - Quantum affine wreath algebras (with Daniele Rosso),
*Documenta Mathematica***25**(2020), 425–456. (DOI, arXiv) - On the definition of quantum Heisenberg category (with Jonathan Brundan and Ben Webster),
*Algebra & Number Theory***14**(2020), no. 2, 275–321. (DOI, arXiv) - The degenerate Heisenberg category and its Grothendieck ring (with Jonathan Brundan and Ben Webster),
*Annales scientifiques de l'École normale supérieure*, to appear. (arXiv) - Affine wreath product algebras,
*International Mathematics Research Notices IMRN***2020**, no. 10, 2977–3041. (DOI, arXiv) - Frobenius Heisenberg categorification,
*Algebraic Combinatorics***2**(2019), no. 5, 937–967. (DOI, arXiv) - Invariant polynomials on truncated multicurrent algebras (with Tiago Macedo),
*Journal of Pure and Applied Algebra***223**(2019), no. 1, 349–368. (DOI, arXiv) - Weyl modules for Lie superalgebras (with Lucas Calixto and Joel Lemay),
*Proceedings of the American Mathematical Society***147**(2019), no. 8, 3191–3207. (DOI, arXiv) - Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification (with Marco Mackaay),
*Journal of Algebra***505**(2018), 150–193. (DOI, arXiv) - An equivalence between truncations of categorified quantum groups and Heisenberg categories (with Hoel Queffelec and Oded Yacobi),
*Journal de l'École polytechnique — Mathématiques***5**(2018), 197–238. (DOI, arXiv) - A graphical calculus for the Jack inner product on symmetric functions (with Anthony Licata and Daniele Rosso),
*Journal of Combinatorial Theory, Series A***155**(2018), 503–543. (DOI, arXiv) - Nested Frobenius extensions of graded superrings (with Edward Poon),
*Involve***11**(2018), no. 3, 449–461. (DOI, arXiv) - Heisenberg categorification,
*Research Notes, CMS Notes***49**, no. 3 (June 2017), 16–17. (DOI) - A general approach to Heisenberg categorification via wreath product algebras (with Daniele Rosso),
*Mathematische Zeitschrift***286**(2017), no. 1–2, 603–655. (DOI, arXiv) - Equivariant map queer Lie superalgebras (with Lucas Calixto and Adriano Moura),
*Canadian Journal of Mathematics***68**(2016), 258–279. (DOI, arXiv) - Twisted Frobenius extensions of graded superrings (with Jeffrey Pike),
*Algebras and Representation Theory***19**(2016), no. 1, 113–133. (DOI, arXiv) - Towers of graded superalgebras categorify the twisted Heisenberg double (with Daniele Rosso),
*Journal of Pure and Applied Algebra***219**(2015), no. 11, 5040–5067. (DOI, arXiv) - Twisted Heisenberg doubles (with Daniele Rosso),
*Communications in Mathematical Physics***337**(2015), no. 3, 1053–1076. (DOI, arXiv) - Global Weyl modules for equivariant map algebras (with Ghislain Fourier and Nathan Manning),
*International Mathematics Research Notices IMRN***2015**(2015), no. 7, 1794–1847. (DOI, arXiv) - Categorification and Heisenberg doubles arising from towers of algebras (with Oded Yacobi),
*Journal of Combinatorial Theory, Series A***129**(2015), 19–56. (DOI, arXiv) - Extensions and block decompositions for finite-dimensional representations of equivariant map algebras (with Erhard Neher),
*Transformation Groups***20**(2015), 183–228. (DOI, arXiv) - Introduction to categorification, CRM mini-course lecture notes, 2014. (DOI)
- Formal Hecke algebras and algebraic oriented cohomology theories (with José Malagón-Lopez, Alex Hoffnung, and Kirill Zainoulline),
*Selecta Mathematica***20**(2014), no. 4, 1213–1245. (DOI, arXiv). Erratum (DOI).*Note:*The arXiv version of the paper incorporates the erratum to the published version. - Equivariant map superalgebras,
*Mathematische Zeitschrift***277**(2014), no. 1, 373–399. (DOI, arXiv) - On the work of Igor Frenkel (with John Duncan, Pavel Etingof, Ivan Ip, Mikhail Khovanov, Matvei Libine, Anthony Licata, and Michael Schlosser),
*Perspectives in representation theory*, 1–21, Contemporary Mathematics**610**, Amer. Math. Soc., Providence, RI, 2014. (DOI) - A survey of equivariant map algebras with open problems (with Erhard Neher),
*Recent developments in algebraic and combinatorial aspects of representation theory (Bangalore, India, 2010 and Riverside, CA, 2012)*, 165–182, Contemporary Mathematics**602**, Amer. Math. Soc., Providence, RI, 2013. (DOI, arXiv) - Hecke algebras, finite general linear groups, and Heisenberg categorification (with Anthony Licata),
*Quantum Topology***4**(2013), 125–185. (DOI, arXiv) - Classification of irreducible quasifinite modules over map Virasoro algebras,
*Transformation Groups***17**(2012), no. 2, 547–570. (DOI, arXiv) - A survey of Heisenberg categorification via graphical calculus (with Anthony Licata),
*Bulletin of the Institute of Mathematics Academia Sinica New Series***7**(2012), 291–321. (DOI, arXiv) - Local Weyl modules for equivariant map algebras with free abelian group actions (with Ghislain Fourier, Tanusree Khandai, and Deniz Kus),
*Journal of Algebra***350**(2012), 386–404. (DOI, arXiv) - Irreducible finite-dimensional representations of equivariant map algebras (with Erhard Neher and Prasad Senesi),
*Transactions of the American Mathematical Society***364**(2012), no. 5, 2619–2646. (DOI, arXiv) - Geometric realizations of crystals, in Geometric representation theory and extended affine Lie algebras, Fields Institute Communications
**59**, Amer. Math. Soc., Providence, RI, 2011, 45–70. These are lecture notes from the 2009 University of Ottawa Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras. (arXiv) - Quiver grassmannians, quiver varieties and the preprojective algebra (with Peter Tingley),
*Pacific Journal of Mathematics***251-2**(2011), 393–429. (DOI, arXiv). Erratum (DOI).*Note:*the arXiv version of the paper incorporates the erratum to the published version. - Vertex operators and the geometry of moduli spaces of framed torsion-free sheaves (with Anthony Licata),
*Selecta Mathematica***16**(2010), no. 16, 201–240. (DOI, arXiv) - Braided and coboundary monoidal categories.
*Algebras, representations and applications (Maresias, Brazil, 2007)*, 229–251, Contemporary Mathematics**483**, Amer. Math. Soc., Providence, RI, 2009. (DOI, arXiv) - Crystals, quiver varieties and coboundary categories for Kac-Moody algebras,
*Advances in Mathematics***221**(2009), no. 1, 22–53. (DOI, arXiv) - Quivers and the Euclidean group.
*Representation theory (Lhasa, China, 2007)*, 177–188, Contemporary Mathematics**478**, Amer. Math. Soc., Providence, RI, 2007. (DOI, arXiv) - Geometric and combinatorial realizations of crystals of enveloping algebras.
*Lie algebras, vertex operator algebras and their applications (Raleigh, NC, 2005)*, 221–232, Contemporary Mathematics**442**, Amer. Math. Soc., Providence, RI, 2007. (DOI, arXiv) - A geometric boson-fermion correspondence,
*C. R. Math. Rep. Acad. Sci. Canada***28**(2006), no. 3, 65–84. (DOI, arXiv) - Finite-dimensional algebras and quivers,
*Encyclopedia of Mathematical Physics*, eds. J.-P. Françoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006, volume 2, pages 313–320. (arXiv) - On two geometric constructions of U(sl
_{n}) and its representations,*Journal of Algebra***305**(2006), no. 2, 664–686. (DOI, arXiv). - Quiver varieties and Demazure modules,
*Mathematische Annalen.***335**(2006), no. 1, 31–46. (DOI, arXiv). Erratum (DOI).*Note:*the arXiv version of the paper incorporates the erratum to the published version. - Geometric and combinatorial realizations of crystal graphs,
*Algebras and Representation Theory***9**(2006), no. 2, 161–199. (DOI, arXiv) - A geometric realization of spin representations and Young diagrams from quiver varieties,
*Journal of Algebra***297**(2006), no. 1, 186–207. (DOI, arXiv) - A geometric construction of crystal graphs using quiver varieties: extension to the non-simply laced case.
*Infinite-dimensional aspects of representation theory (Charlottesville, VA, 2004)*, 133–154, Contemporary Mathematics**392**, Amer. Math. Soc., Providence, RI, 2005. (DOI, arXiv) - Relations between algebraic and geometric constructions in representation theory, Yale University Dissertation, 2003. (pdf)
- Bases of representations of type A affine Lie algebras via quiver varieties and statistical mechanics (with Igor Frenkel),
*International Mathematics Research Notices IMRN***28**(2003), 1521–1547. (DOI, arXiv) - Quiver varieties and fusion products for sl
_{2}(with Olivier Schiffmann),*Journal of Algebra***269**(2003), no. 2, 544–555. (DOI, arXiv) - The tensor product of representations of U
_{q}(sl_{2}) via quivers,*Advances in Mathematics***177**(2003), no. 2, 297–340. (DOI, arXiv) - Magnon wave-function and impurity effects in S=1 antiferromagnetic chains: A large-n approach (with Ian Affleck),
*Physical Review B***59**(1999), 3635–3650. (DOI, arXiv)