Publications

Publications

1. L. Gagnon-Ririe and M. Young. Frobenius-Schur indicators for twisted Real representation theory and two dimensional unoriented topological field theory. Journal of Geometry and Physics, 203:105260, 2024. Journal link. pdf.

2. N. Geer, A. Robertson, J.-L. Spellmann and M. Young. Renormalized Reshetikhin-Turaev invariants for the unrolled quantum group of sl_2(C). arXiv:2303.05529. 30 pages. pdf. Accepted for publication in Contemporary Mathematics (Proceedings of the AMS).

3. J.-L. Spellmann and M. Young. Matrix factorizations, Reality and Knorrer periodicity. Journal of the London Mathematical Society, 108(6): 2297-2332, 2023. Journal link. pdf.

4. B. Noohi and M. Young. Twisted loop transgression and higher Jandl gerbes over finite groupoids. Algebraic and Geometric Topology, 22(4): 1663-1712, 2022. Journal link. pdf.

5. J. Eberhardt, O. Lorscheid and M. Young. Algebraic K-theory and Grothendieck–Witt theory of monoid schemes. Mathematische Zeitschrift, 301: 1407-1445, 2022. Journal link. pdf.

6. J. Eberhardt, O. Lorscheid and M. Young. Group completion in the K-theory and Grothendieck-Witt theory of proto-exact categories. Journal of Pure and Applied Algebra, 226(8):107018, 2022. Journal link.  pdf.

7. M. Young. Real representation theory of finite categorical groups. Higher Structures 5(1) 18-70, 2021. Journal link. pdf.

8. C. Leung, Z. Ma and M. Young. Refined scattering diagrams and theta functions from asymptotic analysis of Maurer-Cartan equations. International Mathematics Research Notices, (5): 3389-3437, 2021. Journal link. pdf.

9. D. Rumynin and M. Young. Burnside rings for Real 2-representation theory: The linear theory. Communications in Contemporary Mathematics, Vol 23, No. 04, 2050012 (2021). Journal link. pdf.

10. M. Young. Degenerate versions of Green's theorem for Hall modules. Journal of Pure and Applied Algebra 225(4): 106557, 2021. Journal link. pdf.

11. M. Young. Representations of cohomological Hall algebras and Donaldson-Thomas theory with classical structure groups. Communications in Mathematical Physics, 380(1): 273-322, 2020. Journal link. pdf.

12. M. Young. Orientation twisted homotopy field theories and twisted unoriented Dijkgraaf-Witten theory.  Communications in Mathematical Physics, 374(4): 1645-1691, 2020. Journal link. pdf. 

13. H. Franzen and M. Young. Cohomological orientifold Donaldson-Thomas invariants as Chow groups. Selecta Mathematica, 24(3): 2035-2061, 2018. Journal link.  pdf.

14. M. Young. Relative 2-Segal spaces. Algebraic and Geometric Topology, 18(2): 975-1039, 2018. Journal link. pdf.

15. A. Dhillon and M. Young. The motive of the classifying stack of the orthogonal group. Michigan Journal of Mathematics, 65(1): 189-197, 2016. Journal link. pdf.

16. M. Young. The Hall module of an exact category with duality. Journal of Algebra, 446: 291-322, 2016. Journal link. pdf.

17. M. Young. Self-dual quiver moduli and orientifold Donaldson-Thomas invariants. Communications in Number Theory and Physics, 9(3): 437-475, 2015. Journal link. pdf.

18. R. Mann, M. Young and I. Fuentes Schuller. A Perturbative Approach to Inelastic Collisions in Bose-Einstein Condensates.  J. Phys. B: At. Mol. Opt. Phys., 44 . Journal link. pdf.

19. R. Mann and M. Young. Perturbative quantum gravity coupled to particles in (1 + 1) dimensions. Class. Quant. Grav. 24, 951-964. Journal link. pdf.

Pre-prints

1. N. Garner, N. Geer and M. Young. B-twisted abelian Gaiotto-Witten theory and topological quantum field theory. arXiv:2401.16192. 46 pages. pdf.

2. Z. Huan and M. Young. Twisted Real quasi-elliptic cohomology. arXiv:2210.07511. 46 pages. pdf.

3. N. Geer and M. Young. Three dimensional topological quantum field theory from U_q(gl(1|1)) and U(1|1) Chern-Simons theory. arXiv:2210.04286. 53 pages. pdf.

4. F. Costantino, M. Harper, A. Robertson and M. Young. Non-semisimple topological field theory and Zhat invariants of osp(1|2). arXiv:2407.12181. 38 pages. pdf.

Other

1. M. Young. Matrix factorizations and Landau-Ginzburg B-models. pdf. Notes from a lecture series at the NSF Workshop and Matrix Factorizations and Related Topics, University of Notre Dame.

2. M. Young. Matrix factorizations, Reality and Knorrer periodicity. pdf. Oberwolfach Reports 23/2022, Interactions between Algebraic Geometry and Noncommutative Algebra.

Thesis

M.B. Young. Self-dual Hall modules. Thesis (Ph.D.)- State University of New York at Stony Brook. 2013. 76 pages. pdf

The paper 'The Hall module of an exact category with duality' contains many of the results from this thesis.