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Somerville Picture

Prof. Dan Ciubotaru

PhD Cornell (2004)
Status
Academic Faculty

Professor of Mathematics

Diana Brown Fellow and Tutor in Pure Maths, Somerville College

Contact form
https://danmciubotaru.wixsite.com/index
CV
+44 1865 270715
ORCID iD
https://orcid.org/0000-0002-7921-9691
Research groups
  • Algebra
  • Geometry and Representation Theory

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications
On the generalized Ramanujan conjecture over function fields
Ciubotaru, D Harris, M (12 Apr 2022) http://arxiv.org/abs/2204.06053v3
The Wavefront Sets of Iwahori-Spherical Representations of Reductive
$p$-adic Groups
Ciubotaru, D Mason-Brown, L Okada, E (29 Dec 2021) http://arxiv.org/abs/2112.14354v4
A nonabelian Fourier transform for tempered unipotent representations
Aubert, A Ciubotaru, D Romano, B (26 Jun 2021) http://arxiv.org/abs/2106.13969v2
Types and unitary representations of reductive p-adic groups
Ciubotaru, D Inventiones Mathematicae volume 213 issue 1 237-269 (01 Feb 2018)
Cocenters and representations of affine Hecke algebras
Ciubotaru, D He, X Journal of the European Mathematical Society volume 19 issue 10 3143-3177 (18 Sep 2017)
A uniform classification of discrete series representations of affine Hecke algebras
Ciubotaru, D Opdam, E ALGEBRA & NUMBER THEORY issue 5 (01 Jan 2017)
Green polynomials of Weyl groups, elliptic pairings, and the extended Dirac index
Ciubotaru, D He, X ADVANCES IN MATHEMATICS volume 283 1-50 (01 Oct 2015) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000361016700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Dirac cohomology for symplectic reflection algebras
Ciubotaru, D Selecta Mathematica volume 22 issue 1 111-144 (21 Aug 2015)
Dirac cohomology for graded affine Hecke algebras
Barbasch, D Ciubotaru, D Trapa, P ACTA MATHEMATICA volume 209 issue 2 197-227 (Dec 2012) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000312564600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
On characters and formal degrees of discrete series of affine Hecke algebras of classical types
Ciubotaru, D Kato (Shiota), M Kato, S INVENTIONES MATHEMATICAE volume 187 issue 3 589-635 (Mar 2012) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000302695800003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e
Teaching

Category Theory (C2.7)

Lie Groups (C2.5)

Research interests

Representation theory of reductive Lie groups: the unitary dual, local Langlands correspondence, affine Hecke algebras, Coxeter groups, Dirac operators in representation theory.

Recent publications
Some Unipotent Arthur Packets for Reductive $p$-adic Groups
Ciubotaru, D Mason-Brown, L Okada, E (01 Oct 2022) http://arxiv.org/abs/2210.00251v1
Symplectic Dirac operators for Lie algebras and graded Hecke algebras
Ciubotaru, D Goncalves De Martino, M Meyer, P Transformation Groups (20 Aug 2022)
The Wavefront Sets of Unipotent Supercuspidal Representations
Ciubotaru, D Mason-Brown, L Okada, E (17 Jun 2022) http://arxiv.org/abs/2206.08628v2
Weyl groups, the Dirac inequality, and isolated unitary unramified representations
Ciubotaru, D Indagationes Mathematicae volume 33 issue 1 1-23 (20 Sep 2021)
Cocenters of p-adic Groups, III: Elliptic and Rigid Cocenters
Ciubotaru, D He, X Peking Mathematical Journal volume 4 issue 2 159-186 (13 Sep 2021)
Prizes, awards, and scholarships

MPLS Teaching Award (2017)

Further details

EPSRC "New Horizons" EP/V046713/1, 1/2021-12/2023 (PI)

EPSRC grant EP/N033922/1, 9/2016-8/2020 (PI)

Member of the editorial boards of Documenta Mathematica and Quarterly Journal of Mathematics.

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