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

+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.