Thomas Rüd

Postdoctoral Fellow at MIT
Google scholar page.
Office: 2-178
Email address: rud[AT]mit.edu
Interests: representations of p-adic groups, orbital integrals, buildings, local-global principle, abelian varieties over finite fields.
MIT number theory seminar

Currently teaching:

18.01A/18.02A, Monday and Wednesday, 9-10 and 10-11.

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Papers:

• On uniform admissibility of unitary and smooth representations. Archiv der Mathematik (2019) 112: 169. with U. First.
• appendix of Counting abelian varieties over finite fields via Frobenius densities with Wen-Wei Li. Article by J. Achter, S.Altug, J.Gordon, and L.Garcia. Algebra & Number Theory.
• Explicit Tamagawa numbers for certain algebraic tori over number fields. Mathematics of Computation (2022).

In Preparation:

• Explicit construction of arithmetic transfer, and proof of ATC for low-rank unitary groups. with W. Zhang.
• Descent of orbital integrals on GSp4 and applications to mass formulae of abelian varieties decompositing as products of elliptic curves.
• A projective twist on the Hasse Norm Theorem. with Alan Bu.

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Other writings, thesis, and conference notes: Here.

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Data about Tamagawa numbers of symplectic tori and SageMath code: Here.

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Organized Seminars:

• [2020]MATH 600D: Seminar on Automorphic forms. Towards geometric Satake isomorphism. Winter Term 2020.
  
• [2019]MATH 592 B: Seminar on Automorphic forms. Satake isomorphism, classical and geometric. Fall term 2019.
  
• [2019]MATH 592 B: Seminar on Automorphic forms. Siegel Modular forms. Winter term 2019.
  
• Organized UBC number theory seminar in 2019-2020.
  

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Past Teaching:

• [2022 Winter] MATH 104 head TA (role overlapped with head instructor)
  
• [2021 Spring] MATH 100 Vantage instructor (single section class, role of head instructor)
  
• [2020 Winter] MATH 184 head TA. workshop files
  
• [2019 Winter] MATH 184 instructor
  
• [2019] Participant in the Instructor Skills Workshop
  
• [2018 Winter] MATH 104 instructor
  

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