Prof. Charles Batty

MA, MSc, DPhil

Status

Emeritus

Emeritus Professor of Analysis

Emeritus Research Fellow and formerly Tutor in Mathematics, St John's College.

Contact form

+44 1865 615191

ORCID iD

https://orcid.org/0000-0002-6168-5475

Research groups

Functional Analysis

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

Recent books

Vector-Valued Laplace Transforms and Cauchy Problems Arendt, W Batty, C Hieber, M Neubrander, F (29 Apr 2011)

Vector -Valued Laplace Transforms and Cauchy a Problems, Second Edition Arendt, W Batty, C Hieber, M Neubrander, F (2011) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000290414200001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

Vector-valued Laplace transforms and Cauchy problems Arendt, W Batty, C Hieber, M Neubrander, F (May 2001)

Recent publications

Some developments around the Katznelson-Tzafriri theorem

Batty, C Seifert, D Acta Scientiarum Mathematicarum (02 Sep 2022)

Functional calculi for sectorial operators and related function theory

Batty, C Gomilko, A Tomilov, Y Journal of the Institute of Mathematics of Jussieu (04 Oct 2021)

On the dimensional indeterminacy of one-wave factor analysis under
causal effects

VanderWeele, T Batty, C (28 Jan 2020) http://arxiv.org/abs/2001.10352v4

Optimal energy decay for the wave-heat system on a rectangular domain

Batty, C Paunonen, L Seifert, D SIAM Journal on Mathematical Analysis volume 51 issue 2 808-819 (26 Mar 2019)

Lower bounds for unbounded operators and semigroups

Batty, C Geyer, F Journal of Operator Theory volume 78 issue 2 473-500 (01 Sep 2017)

Research interests

Unbounded operators and abstract differential equations; differential operators; operator algebras.

Highlighted publications

The theory of Besov functional calculus: developments and applications to semigroups

Batty, C Gomilko, A Tomilov, Y Journal of Functional Analysis volume 281 issue 6 (04 May 2021)

Fine scales of decay of operator semigroups

Batty, C Chill, R Tomilov, Y JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY volume 18 issue 4 853-929 (08 Mar 2020) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000371990000006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

A Besov algebra calculus for generators of operator semigroups and related norm-estimates

Batty, C Gomilko, A Tomilov, Y Mathematische Annalen volume 379 issue 1-2 23-93 (12 Nov 2019)

L^p-Tauberian theorems and L^p-rates for energy decay

Batty, C Borichev, A Tomilov, Y Journal of Functional Analysis volume 270 issue 3 1153-1201 (28 Dec 2015)

Foundations of a mathematical theory of darwinism.

Batty, C Crewe, P Grafen, A Gratwick, R Journal of mathematical biology volume 69 issue 2 295-334 (09 Aug 2014)

Preferred address

St John's CollegeSt GilesOxford OX1 3JPEngland

Further details

From 2008-13 I was one of the two Editors of the Journal of the London Mathematical Society, having previously been an Editorial Adviser for the main journals of the LMS.

I have been the coordinator of the Oxford node of various collaborative with the Mathematical Institute of the Polish Academy of Sciences since 2006. I collaborate regularly with Professor Yuri Tomilov of the Polish Academy of Sciences and formerly of Nicholas Copernicus University in Torun.

I retired from teaching and administration on 31 March 2021. I expect to remain active in research and related matters for a few years, but I am not taking on any research students.