Thisvolumecontainsninesurveyarticlesbasedonplenarylecturesgivenatthe28thBritishCombinatorialConference,hostedonlinebyDurhamUniversityinJuly2021.Thisbiennialconferenceisawell-establishedinternationalevent,attractingspeakersfromaroundtheworld.Writtenbysomeoftheforemostresearchersinthefield,thesesurveysprovideup-to-dateoverviewsofseveralareasofcontemporaryinterestincombinatorics.Topicsdiscussedincludemaximalsubgroupsoffinitesimplegroups,Hasse-Weiltypetheoremsandrelevantclassesofpolynomialfunctions,thepartitioncomplex,thegraphisomorphismproblem,andBorelcombinatorics.Representingasnapshotofcurrentdevelopmentsincombinatorics,thisbookwillbeofinteresttoresearchersandgraduatestudentsinmathematicsandtheoreticalcomputerscience.
