Matt Young
Mathematics and Statistics
Assistant Professor
Educational Background
Research Interests
My research lies at the intersection of representation theory, geometry and algebra and related mathematical physics. More specifically, I study Hall algebras, quantum groups and matrix factorizations and their roles in Donaldson-Thomas, Chern-Simons and Rozansky-Witten theories.
Awards
Department of Mathematics and Statistics Undergraduate Faculty Mentor of the Year , 2025
Graduate Mentor of the Year, 2023
Department of Mathematics and Statistics, Utah State University
Researcher of the Year, 2023
Department of Mathematics and Statistics, Utah State University
Graduate Mentor of the Year, 2022
Department of Mathematics and Statistics, Utah State University
Visiting postdoctoral fellowship, 2018
The Max Planck Society
Research Council Travel Grant, 2015
The University of Hong Kong
NSERC Postgraduate Scholarship - Doctorate, 2009
Natural Sciences and Engineering Research Council
NSERC Postgraduate Scholarship - Masters, 2008
Natural Sciences and Engineering Research Council
Renaissance Technologies Fellowship in Mathematics, 2007
Renaissance Technologies
Helmkay Scholarship in Mathematics, 2006
Queen's University at Kingston
NSERC Undergraduate Student Research Award, 2006
Natural Science and Engineering Research Council
NSERC Undergraduate Student Research Award, 2006
Natural Sciences and Engineering Research Council
Rattray Scholarship in Science, 2006
Queen's University at Kingston
Dean's Scholar, 2005
Queen's University at Kingston
Dean's Award, 2004
Queen's University at Kingston
Dean's Scholar, 2004
Queen's University at Kingston
Dean's Scholarship in Applied Science, 2003
Queen's University at Kingston
Publications | Journal Articles
Academic Journal
- Young, M., (2025). B-twisted Gaiotto-Witten theory and topological quantum field theory. Communications in Mathematical Physics
- Young, M., Geer, N., (2025). Three dimensional topological quantum field theory from Uq(gl(1|1)) and U(1|1) Chern–Simons theory. Advances in Mathematics, 460, doi: https://doi.org/10.1016/j.aim.2024.110044
- Young, M., Gagnon-Ririe, L., (2024). Frobenius--Schur indicators for twisted Real representation theory and two dimensional unoriented topological field theory. Journal of Geometry and Physics, 203, doi: https://doi.org/10.1016/j.geomphys.2024.105260
- Young, M., Spellmann, J., (2023). Matrix factorizations, Reality and Knorrer periodicity. Journal of the London Mathematical Society, 108:6, 2297-2332. doi: https://doi.org/10.1112/jlms.12807
- Noohi, B., Young, M.B, (2022). Twisted loop transgression and higher Jandl gerbes over finite groupoids. Algebraic and Geometric Topology, 22:4, 1663-1712. doi: DOI: 10.2140/agt.2022.22.1663
- Eberhardt, J., Lorscheid, O., Young, M., (2022). Group completion in the $K$-theory and Grothendieck--Witt theory of proto-exact categories. Journal of Pure and Applied Algebra, 226:8, doi: https://doi.org/10.1016/j.jpaa.2022.107018
- Eberhardt, J.N, Lorscheid, O., Young, M., (2022). Algebraic $K$-theory and Grothendieck--Witt theory of monoid schemes. Mathematisch Zeitschrift, 301, 1407-1445. doi: https://doi.org/10.1007/s00209-021-02919-z
- Young, M., (2021). Real representation theory of finite categorical groups. High. Struct., 5:1, 18-53.
- Rumynin, D., Young, M.B, (2021). Burnside rings for Real 2-representations: The linear theory. Comm. Contemp. Math., 23:5, 2050012. doi: https://doi.org/10.1142/S0219199720500121
- Leung, N., Ma, Z., Young, M.B, (2021). Refined scattering diagrams and theta functions from asymptotic analysis of Maurer-Cartan equations. Int. Math. Res. Not., 2021:5, 3389-3437. doi: https://doi.org/10.1093/imrn/rnz220
- Young, M.B, (2020). Orientation twisted homotopy field theories and twisted unoriented Dijkgraaf--Witten theory. Comm. Math. Phys., 374:3, 1645--1691.
- Young, M.B, (2020). Representations of cohomological Hall algebras and Donaldson-Thomas theory with classical structure groups. Commun. Math. Phys., 380:1, 272-322.
- Young, M., (2020). Degenerate versions of Green's theorem for Hall modules. J. Pure Appl. Algebra, 225:4, 106557. doi: https://doi.org/10.1016/j.jpaa.2020.106557
- Franzen, H., Young, M., (2018). Cohomological orientifold Donaldson-Thomas invariants as Chow groups. Selecta Math. (N.S.), 24:3, 2035-2061.
- Young, M., (2018). Relative 2-Segal spaces. Algebr. Geom. Topol., 18:2, 975--1039.
- Young, M.B, (2016). The Hall module of an exact category with duality. J. Algebra, 446, 291--322.
- Young, M.B, Dhillon, A., (2016). The motive of the classifying stack of the orthogonal group. Michigan Math. J., 65:1, 189--197.
- Young, M.B, (2015). Self-dual quiver moduli and orientifold Donaldson-Thomas invariants. Commun. Number Theory Phys., 9:3, 437--475.
- Fuentes-Schuller, I., Mann, R.B, Young, M.B, (2011). A Perturbative Approach to Inelastic Collisions in a Bose-Einstein Condensate. Journal of Physics B: Atomic, Molecular and Optical Physics, 44
- Mann, R.B, Young, M.B, (2007). Perturbative quantum gravity coupled to particles in (1+1) dimensions. Classical and Quantum Gravity, 24:5
- Young, M., Non-semisimple topological field theory and Zhat invariants from osp(1|2). Letters in Mathematical Physics
- Young, M., Geer, N.C, Robertson, A., Spellmann, J., Renormalized Reshetikhin-Turaev invariants for the unrolled quantum group of sl_2(C). AMS Contemporary Mathematics
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Other
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.