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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.

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