Associate Professor
Overview
I grew up in Iran and moved to Canada for the end of high school. I did my undergraduate studies at the University of Waterloo and PhD at the University of Chicago with Vladimir Drinfeld. Afterwards, I did postdocs at the University of British Columbia in Vancovuer and the Max Planck Instittue for Mathematics at Bonn. I moved to UQ in 2013 to take up a lectureship.
Research Interests
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Algebraic Geometry, Representation Theory, Langlands Program
Please see my research website for details: https://sites.google.com/site/masoudkomi/research
Qualifications
- Doctor of Philosophy, University of Chicago
- Masters (Research) of Science, University of Chicago
- Bachelor of Mathematics, University of Waterloo
Publications
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Journal Article: HYPERGEOMETRIC SHEAVES FOR CLASSICAL GROUPS VIA GEOMETRIC LANGLANDS
Kamgarpour, Masoud, Xu, Daxin and Yi, Lingfei (2023). HYPERGEOMETRIC SHEAVES FOR CLASSICAL GROUPS VIA GEOMETRIC LANGLANDS. Transactions of the American Mathematical Society, 376 (5), 3585-3640. doi: 10.1090/tran/8848
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Journal Article: Airy sheaves for reductive groups
Jakob, Konstantin, Kamgarpour, Masoud and Yi, Lingfei (2023). Airy sheaves for reductive groups. Proceedings of the London Mathematical Society, 126 (1), 390-428. doi: 10.1112/plms.12494
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Journal Article: Character stacks are PORC count
Bridger, Nick and Kamgarpour, Masoud (2022). Character stacks are PORC count. Journal of the Australian Mathematical Society, 115 (3), 1-22. doi: 10.1017/s1446788722000179
Grants
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Towards logarithmic representation theory of W-algebras
(2021–2024) ARC Discovery Projects
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Categorical symmetries in representation theory
(2018–2021) ARC Discovery Projects
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Problems in the Langlands Program
(2014–2018) ARC Discovery Early Career Researcher Award
Supervision
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Arithmetic geometry of character varieties with regular monodromy
Master Philosophy
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Arithmetic geometry of character varieties with regular monodromy
(2023) Doctor Philosophy
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Arithmetic geometry of character stacks and their E-polynomials
(2022) Master Philosophy
Publications
Journal Article
-
HYPERGEOMETRIC SHEAVES FOR CLASSICAL GROUPS VIA GEOMETRIC LANGLANDS
Kamgarpour, Masoud, Xu, Daxin and Yi, Lingfei (2023). HYPERGEOMETRIC SHEAVES FOR CLASSICAL GROUPS VIA GEOMETRIC LANGLANDS. Transactions of the American Mathematical Society, 376 (5), 3585-3640. doi: 10.1090/tran/8848
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Airy sheaves for reductive groups
Jakob, Konstantin, Kamgarpour, Masoud and Yi, Lingfei (2023). Airy sheaves for reductive groups. Proceedings of the London Mathematical Society, 126 (1), 390-428. doi: 10.1112/plms.12494
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Character stacks are PORC count
Bridger, Nick and Kamgarpour, Masoud (2022). Character stacks are PORC count. Journal of the Australian Mathematical Society, 115 (3), 1-22. doi: 10.1017/s1446788722000179
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Geometric Langlands for hypergeometric sheaves
Kamgarpour, Masoud and Yi, Lingfei (2021). Geometric Langlands for hypergeometric sheaves. Transactions of the American Mathematical Society, 374 (12), 8435-8481. doi: 10.1090/tran/8509
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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
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Jordan decomposition for formal G-connections
Kamgarpour, Masoud and Weatherhog, Samuel (2020). Jordan decomposition for formal G-connections. Graduate Journal of Mathematics, 5 (2), 111-121.
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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
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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
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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
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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
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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
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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
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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
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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
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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.
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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
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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 (12), 407-432. doi: 10.1090/S1088-4165-2011-00395-2
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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
Grants (Administered at UQ)
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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
PhD and MPhil Supervision
Current Supervision
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Arithmetic geometry of character varieties with regular monodromy
Master Philosophy — Principal Advisor
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Arithmetic Geometry of Moduli of Representations
Master Philosophy — Principal Advisor
Other advisors:
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Hall-Littlewood polynomials in representation theory
Master Philosophy — Associate Advisor
Other advisors:
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Topics in representation theory
Master Philosophy — Associate Advisor
Other advisors:
Completed Supervision
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Arithmetic geometry of character varieties with regular monodromy
(2023) Doctor Philosophy — Principal Advisor
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Arithmetic geometry of character stacks and their E-polynomials
(2022) Master Philosophy — Principal Advisor
Other advisors:
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Carmichael and Lehmer numbers and the analogous polynomials
(2020) Doctor Philosophy — Principal Advisor
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Donaldson's proof of the Narasimhan-Seshadri Theorem
(2019) Master Philosophy — Principal Advisor
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Jordan Decomposition for Differential Operators
(2017) Master Philosophy — Principal Advisor
Other advisors:
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Selberg integrals of Alba-Fateev-Litvinov-Tarnopolsky type
(2020) Master Philosophy — Associate Advisor
Other advisors:
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Stabilisers of eigenvectors in complex reflection groups
(2019) Master Philosophy — Associate Advisor
Other advisors:
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W-algebra Representation Theory
(2019) Master Philosophy — Associate Advisor
Other advisors:
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Perfect Triangles : Rational points on Elliptic Curves
(2017) Doctor Philosophy — Associate Advisor
Possible Research Projects
Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.
