# Travis Scrimshaw's homepage

## Background

Background

I am currently a Postdoctoral Research Fellow at the University of Queensland under the mentorship of Ole Warnaar. I received my Ph.D. in Mathematics from University of California, Davis in 2015 under the guidance of Anne Schilling. From 2015 to 2017, I was an RTG Postdoctoral Associate as part of the combinatorics group at the University of Minnesota, specifically under the mentorship of Pavlo Pylyavskyy.

This website will not necessarily be maintained. For current information, see my University of Queensland website.

Email: tcscrims {a} gmail.com

## Publications

Publications

- Masato Okado, Anne Schilling and T. Scrimshaw:
*Rigged configuration bijection and the proof of the $X = M$ conjecture for nonexceptional affine types*. J. Algebra, to appear (2018). arXiv version. - Cara Monical, Oliver Pechenik, and T. Scrimshaw: Crystal structures for symmetric Grothendieck polynomials. Preprint, (2018). arXiv version.
- Se-jin Oh and T. Scrimshaw:
*Identities from representation theory*. Preprint, (2018). arXiv version. - Se-jin Oh and T. Scrimshaw:
*Categorical relations between Langlands dual quantum affine algebras: Exceptional cases*. Preprint, (2018). arXiv version. - Jia Huang, Brendon Rhoades, and T. Scrimshaw: Hall-Littlewood polynomials and a Hecke action on ordered set partitions. Proc. Amer. Math. Soc., to appear (2018). arXiv version.
- Ben Salisbury and T. Scrimshaw:
*Virtual crystals and Nakajima monomials*. Preprint, (2017). arXiv version. - Xuan Liu and T. Scrimshaw:
*A uniform approach to soliton cellular automata using rigged configurations*. Preprint, (2017). arXiv version. SageMath code. - T. Scrimshaw:
*Uniform description of the rigged configuration bijection*. Preprint, (2017). arXiv version. - Arthur Lubovsky and T. Scrimshaw:
*Alcove path model for $B(\infty)$*. Preprint, (2016). arXiv version. - Emily Gunawan and T. Scrimshaw:
*Kirillov--Reshetikhin crystals $B^{1,s}$ using Nakajima monomials for $\widehat{\mathfrak{sl}}_n$*. Preprint, (2016). arXiv version. - T. Scrimshaw:
*Rigged configurations as tropicalizations of loop Schur functions*. J. Integrable Syst., {\bf 2}(1) (2017) pp. 1--24. DOI: 10.1093/integr/xyw015, arXiv version. - Masato Okado, Reiho Sakamoto, Anne Schilling and T. Scrimshaw:
*Type $D_n^{(1)}$ rigged configuration bijection*. J. Algebraic Combin., {\bf 46}(2) (2017) pp. 341--401. arXiv version. - Ben Salisbury and T. Scrimshaw:
*Rigged configurations and the $\ast$-involution*. Lett. Math. Phys., to appear (2018). DOI: 10.1007/s11005-018-1063-2, arXiv version. - Jianping Pan and T. Scrimshaw:
*Virtualization map for the Littelmann path model*. Transform. Groups, to appear (2017). DOI: 10.1007/s00031-017-9456-3, arXiv version. - Ben Salisbury and T. Scrimshaw:
*Rigged configurations for all symmetrizable types*. Electron. J. Combin., {\bf 24}(1) (2017) \#P1.30. arXiv version. - Ben Salisbury and T. Scrimshaw:
*Connecting marginally large tableaux and rigged configurations via crystals.*Algebras and Repr. Theory, {\bf 19}(3) (2016) pp. 523--546. DOI: 10.1007/s10468-015-9587-y, arXiv version. - T. Scrimshaw:
*A crystal to rigged configuration bijection for type $D_4^{(3)}$*. J. Algebra, {\bf 448C} (2016), pp. 294--349. DOI: 10.1016/j.jalgebra.2015.09.047, arXiv version. - Anne Schilling and T. Scrimshaw:
*Crystal structure on rigged configurations and the filling map*. Electron. J. Combin., {\bf 22}(1) (2015) \#P1.73. arXiv version. - Ben Salisbury and T. Scrimshaw:
*A rigged configuration model for $B(\infty)$*. J. Combin. Theory Ser. A, {\bf 133} (2015) pp. 29--57. DOI 10.1016/j.jcta.2015.01.008, arXiv version. - Paul Prue and T. Scrimshaw:
*Abrams's stable equivalence for graph braid groups*. Topology Appl., {\bf 178} (2014) pp. 136--145. DOI: 10.1016/j.topol.2014.09.009, arXiv version. - Chris Berg, Viviane Pons, T. Scrimshaw, Jessica Striker, and Christian Stump:
*FindStat - the combinatorial statistics database*. (2014) arXiv version.