Joseph Grant
Mathematician
Research Interests
- Representation theory of algebras
- Derived categories and homological/homotopical algebra
- Cluster algebras and cluster categories
- Category theory and categorification
Papers
- (joint with Mathew Pugh)
Frobenius algebra objects in Temperley-Lieb categories at roots of unity,
arXiv:2409.12920v2 [math.CT]
- (joint with Davide Morigi)
Mutation of signed valued quivers and presentations of simple complex Lie algebras,
arXiv:2403.14595 [math.RT]
- Serre functors and graded categories, Algebr. Represent. Theory 26 (2023), no. 5, 2113-2180, DOI:
10.1007/s10468-022-10151-4
- The Nakayama automorphism of a self-injective preprojective algebra,
Bull. Lond. Math. Soc. 52 (2020), no. 1, 137-152,
DOI: 10.1112/blms.12313
- (joint with Osamu Iyama)
Higher preprojective algebras, Koszul algebras, and superpotentials,
Compositio Mathematica (2020), 156(12), 2588-2627, DOI: 10.1112/S0010437X20007538
- Higher zigzag algebras, Doc. Math. 24, 749-814 (2019), DOI: 10.25537/dm.2019v24.749-814
- (joint with Bethany Marsh)
Braid groups and quiver mutation,
Pacific J. Math. 290 (2017), no. 1, 77-116,
DOI: 10.2140/pjm.2017.290.77
- Lifts of longest elements to braid groups acting on derived categories,
Trans. Amer. Math. Soc. 367 (2015), 1631-1669,
DOI: 10.1090/S0002-9947-2014-06104-7
- Derived autoequivalences from periodic algebras,
Proc. London Math. Soc. (2013) 106 (2): 375-409,
DOI: 10.1112/plms/pds043
My preprints can be found at:
http://arxiv.org/a/grant_j_1
Videos
Contact
You can email me by substituting my full names into the following address and changing the x to a g:
firstname.lastname@xmail.com
Past Teaching
- Spring Semester 2024/2025: MTHA4007B: Computation and Modelling
- Winter Semester 2024/2025: MTHA4003A: Sequences and Series
- Winter Semester 2024/2025: MTHE6030A/MTHE7030A: Differential Geometry
- Winter Semester 2023/2024: MTHF5036A: Point Set Topology and Further Linear Algebra
- Winter Semester 2023/2024: MTHA4003A/MTHB5008A: Linear Equations/Linear Algebra
- Spring Semester 2022/2023: MTHA4007B: Computation and Modelling
- Spring Semester 2022/2023: MAGIC105: Symplectic Geometry
- Winter Semester 2022/2023: MTHE6030A/MTHE7030A: Differential Geometry
- Winter Semester 2022/2023: MTHA4003A/MTHB5008A: Linear Equations/Linear Algebra
- Spring Semester 2021/2022: MTHA4007B: Computation and Modelling
- Spring Semester 2021/2022: MTHA5003B: Complex Integration and Ring Theory
- Winter Semester 2021/2022: MTHA4003A/MTHB5008A: Linear Equations/Linear Algebra
- Winter Semester 2021/2022: MAGIC105: Symplectic Geometry
- Spring Semester 2020/2021: MTHA4007Y: Computation and Modelling
- Spring Semester 2020/2021: MAGIC105: Symplectic Geometry
- Winter Semester 2020/2021: MTHE6030A/MTHE7030A: Differential Geometry
- Winter Semester 2019/2020: MTHA4007Y: Computation and Modelling
- Winter Semester 2019/2020: MTHA4003Y: Real Analysis
- Spring Semester 2018/2019: MTHA5001Y: (Complex) Analysis
- Winter Semester 2018/2019: MTHE6030A/MTHE7030A: Differential Geometry
- Spring Semester 2017/2018: MTHD7030B: Differential Geometry
- Winter Semester 2017/2018: MTHA4003Y: Real Analysis
- Spring Semester 2016/2017: MTHD6026B/MTHD7031B: Quivers and Representations
- Winter Semester 2016/2017: MTHA4003Y: Real Analysis
- Spring Semester 2015/2016: MTHA5003Y: Algebra (Ring Theory)
- Winter Semester 2015/2016: MTHA4003Y: Real Analysis
- Spring Semester 2014/2015: MTHA5003Y: Algebra (Ring Theory)
The module code MTH?n???z denotes a "level n" module at the
University of East Anglia, which students take in the (n-3)rd year of a
BSc/MMath degree. 1st (autumn) and 2nd (spring) semester modules have
z=A and z=B, respectively, and z=Y denotes a year long module. Modules
with both n=6 and n=7 codes in the same year are taught without/with
advanced topics.
- Spring Semester 2013/2014: MATH3033/MATH5033M: Graph Theory (University of Leeds)
On Science
Links