Journal Article: Rigid connections on P1 via the Bruhat-Tits building
Kamgarpour, Masoud and Sage, Daniel S. (2020). Rigid connections on P1 via the Bruhat-Tits building. Proceedings of the London Mathematical Society, 122 (3), 359-376. doi: 10.1112/plms.12346
Journal Article: Complete integrability of the Parahoric Hitchin System
Baraglia, David, Kamgarpour, Masoud and Varma, Rohith (2019). Complete integrability of the Parahoric Hitchin System. International Mathematics Research Notices, 2019 (21) rnx313, 6499-6528. doi: 10.1093/imrn/rnx313
Journal Article: A geometric analogue of a conjecture of Gross and Reeder
Kamgarpour, Masoud and Sage, Daniel S. (2019). A geometric analogue of a conjecture of Gross and Reeder. American Journal of Mathematics, 141 (5), 1457-1476. doi: 10.1353/ajm.2019.0038
Towards logarithmic representation theory of W-algebras
(2021–2024) ARC Discovery Projects
Categorical symmetries in representation theory
(2018–2021) ARC Discovery Projects
Problems in the Langlands Program
(2014–2018) ARC Discovery Early Career Researcher Award
Topology of character varieties for the symplectic group
Master Philosophy
Satake Isomorphism
Master Philosophy
Geometric representation theory
Doctor Philosophy
Rigid connections on P1 via the Bruhat-Tits building
Kamgarpour, Masoud and Sage, Daniel S. (2020). Rigid connections on P1 via the Bruhat-Tits building. Proceedings of the London Mathematical Society, 122 (3), 359-376. doi: 10.1112/plms.12346
Complete integrability of the Parahoric Hitchin System
Baraglia, David, Kamgarpour, Masoud and Varma, Rohith (2019). Complete integrability of the Parahoric Hitchin System. International Mathematics Research Notices, 2019 (21) rnx313, 6499-6528. doi: 10.1093/imrn/rnx313
A geometric analogue of a conjecture of Gross and Reeder
Kamgarpour, Masoud and Sage, Daniel S. (2019). A geometric analogue of a conjecture of Gross and Reeder. American Journal of Mathematics, 141 (5), 1457-1476. doi: 10.1353/ajm.2019.0038
On the image of the parabolic Hitchin map
Baraglia, David and Kamgarpour, Masoud (2018). On the image of the parabolic Hitchin map. Quarterly Journal of Mathematics, 69 (2), 681-708. doi: 10.1093/qmath/hax055
On the notion of conductor in the local geometric langlands correspondence
Kamgarpour, Masoud (2017). On the notion of conductor in the local geometric langlands correspondence. Canadian Journal of Mathematics, 69 (1), 107-129. doi: 10.4153/CJM-2016-016-1
Preservation of depth in the local geometric Langlands correspondence
Chen, Tsao-Hsien and Kamgarpour, Masoud (2017). Preservation of depth in the local geometric Langlands correspondence. Transactions of the American Mathematical Society, 369 (2), 1345-1364. doi: 10.1090/tran/6794
Compatibility of the Feigin-Frenkel isomorphism and the Harish-Chandra isomorphism for jet algebras
Kamgarpour, Masoud (2016). Compatibility of the Feigin-Frenkel isomorphism and the Harish-Chandra isomorphism for jet algebras. Transactions of the American Mathematical Society, 368 (3), 2019-2038. doi: 10.1090/S0002-9947-2014-06419-2
Geometrization of principal series representations of reductive groups
Kamgarpour, Masoud and Schedler, Travis (2015). Geometrization of principal series representations of reductive groups. Annales de l'Institut Fourier, 65 (5), 2273-2330. doi: 10.5802/aif.2988
Geometrization of continuous characters of Z(p)(x)
Cunningham, Clifton and Kamgarpour, Masoud (2013). Geometrization of continuous characters of Z(p)(x). Pacific Journal of Mathematics, 261 (1), 95-99. doi: 10.2140/pjm.2013.261.95
Ramified satake isomorphisms for strongly parabolic characters
Kamgarpour, Masoud and Schedler, Travis (2013). Ramified satake isomorphisms for strongly parabolic characters. Documenta Mathematica, 18 (2013), 1275-1300.
Maximal representation dimension of finite p-groups
Cernele, Shane, Kamgarpour, Masoud and Reichstein, Zinovy (2011). Maximal representation dimension of finite p-groups. Journal of Group Theory, 14 (4), 637-647. doi: 10.1515/JGT.2010.071
Compatible intertwiners for representations of finite nilpotent groups
Kamgarpour, Masoud and Thomas, Teruji (2010). Compatible intertwiners for representations of finite nilpotent groups. Representation Theory, 15, 407-432.
Stacky abelianization of an algebraic group
Kamgarpour, Masoud (2009). Stacky abelianization of an algebraic group. Transformation Groups, 14 (4), 825-846. doi: 10.1007/s00031-009-9067-8
Towards logarithmic representation theory of W-algebras
(2021–2024) ARC Discovery Projects
Categorical symmetries in representation theory
(2018–2021) ARC Discovery Projects
Problems in the Langlands Program
(2014–2018) ARC Discovery Early Career Researcher Award
Topology of character varieties for the symplectic group
Master Philosophy — Principal Advisor
Other advisors:
Satake Isomorphism
Master Philosophy — Principal Advisor
Other advisors:
Geometric representation theory
Doctor Philosophy — Principal Advisor
Other advisors:
Quantum-Inspired Machine Learning
Doctor Philosophy — Associate Advisor
Other advisors:
Carmichael and Lehmer numbers and the analogous polynomials
(2020) Doctor Philosophy — Principal Advisor
Donaldson's proof of the Narasimhan-Seshadri Theorem
(2019) Master Philosophy — Principal Advisor
Jordan Decomposition for Differential Operators
(2017) Master Philosophy — Principal Advisor
Other advisors:
Selberg integrals of Alba-Fateev-Litvinov-Tarnopolsky type
(2020) Master Philosophy — Associate Advisor
Other advisors:
Stabilisers of eigenvectors in complex reflection groups
(2019) Master Philosophy — Associate Advisor
Other advisors:
W-algebra Representation Theory
(2019) Master Philosophy — Associate Advisor
Other advisors:
Perfect Triangles : Rational points on Elliptic Curves
(2017) Doctor Philosophy — Associate Advisor