Prof. Charles Batty

MA, MSc, DPhil

Status

Emeritus

Emeritus Professor of Analysis

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

+44 1865 615191

Contact form

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) https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=elements_prod_1&SrcAuth=WosAPI&KeyUT=WOS:000290414200001&DestLinkType=FullRecord&DestApp=WOS_CPL

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

Recent publications

Rational approximation of holomorphic semigroups revisited

Batty, C Gomilko, A Tomilov, Y Journal of the London Mathematical Society volume 111 issue 1 e70066 (10 Jan 2025)

Analytic Besov functional calculus for several commuting operators

Batty, C Gomilko, A Kobos, D Tomilov, Y Journal of Spectral Theory volume 14 issue 2 513-556 (30 May 2024)

A Katznelson-Tzafriri theorem for analytic Besov functions of operators

Batty, C Seifert, D Journal of Operator Theory volume 91 issue 2 545-565 (01 Mar 2024)

Bounded functional calculi for unbounded operators

Batty, C Gomilko, A Tomilov, Y Operators, Semigroups, Algebras and Function Theory: Volume from IWOTA Lancaster 2021 27-60 (07 Dec 2023)

Bounded Functional Calculi for Unbounded Operators

Batty, C Gomilko, A Tomilov, Y Operators, Semigroups, Algebras and Function Theory volume 292 (07 Dec 2023)

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.