AkitoSuzukiMycurrentresearchinterestfocusesonthespectraofelectronsinhydrogenatedgraphenes.Grapheneisananomaterialcomposedofcarbonatomsthatarearrangedinatwodimensionalhoneycomblattice.Whilegrapheneisasemiconductorwithzerobandgap,fullyhydrogenatedgraphene,whichisinparticularcalledgraphane(withana),isaninsulatorwithabandgap.Iaminterestedinthespectraofelectronsinpartiallyhydrogenatedgraphenes.AssociateProfessorResearchInterests:MathematicalPhysics,SpectralAnalysisKeywords:QuantumFieldTheory,DiscreteLaplacianMathematical Physics : Mathematics sheds light on physical phenomenaThestructureofsuchamaterialismathematicallydescribedbyagraphthatiscomposedofthesetofverticesandedges.Atomsinthematerialaredescribedbytheverticesandatomicbondsbytheedges.ThentheLaplaceoperatoronthegraphbecomestheHamiltonianofanelectronmovinginthematerial.ThespectrumofthisHamiltoniancorrespondstotheenergyoftheelectron.Thephysicalpropertieslikeelectricalconductivityareanalyzedviaspectralanalysisbymathematicssuchasfunctionalanalysis,operatortheoryandgraphtheory.Tostudythespectraofelectronsisanimportantprobleminmathematicalphysics.Engineering Core Engineering Core In the FutureAfter GraduationIkkiFukudaRecentlypublishedacademicpapers.Thisresearchwashighlyevaluatedbymanyresearchersataninternationalresearchconference.Thisisoneofamathematicsseminar.IgavearesearchpresentationinEnglishwhenIstayedatZhejiangUniversityinChina.Inourlaboratory,westudyatheoryofnonlinearpartialdifferentialequationsfromtheoreticalperspectives.Especially,westudyamathematicalanalysisofdifferentialequationsthatappearinnonlinearwavetheoryandrelatedproblems.Inparticular,weareinterestedinhowthewaveshapechangesovertime,andwearedealingwiththeanalysisoflargetimebehaviorofsolutions.Themathematicalstudyofdifferentialequationsprovidesusaunifiedunderstandingthatgoesbeyondtheframeworkofindividualphenomena.Differentialequationshaveappearedinvariousfieldsofphysicsandengineeringsuchasfluidmechanicsandwavestheoryasamathematicalmodelfordescribingnaturalphenomena,andtheirapplicationrangeiswide-ranging.Throughmathematicalresearchondifferentialequations,wecangainnewinsightsthatcannotbeobtainedfromexperiments.Ouraimofthislaboratoryistodevelopstudentswhocanplayanactiveroleinavariousfieldsbyapplyingmathematicalthinking.Inaddition,wealsostudyawiderangeofperipheralfieldsanddevelopabird's-eyeviewabilitytolookatengineeringfromvariousperspectives.AssistantProfessorDoctor of Science (Hokkaido University, March, 2020)Research Field:Nonlinear Partial Differential Equations Theory of Nonlinear Partial Differential Equations
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