Advances in Mathematical Sciences: AWM Research Symposium, Houston, TX, April 2019 (Association for Women in Mathematics Series (21)) PDF
Preview Advances in Mathematical Sciences: AWM Research Symposium, Houston, TX, April 2019 (Association for Women in Mathematics Series (21))
Association for Women in Mathematics Series Bahar Acu · Donatella Danielli Marta Lewicka · Arati Pati Saraswathy RV Miranda Teboh-Ewungkem Editors Advances in Mathematical Sciences AWM Research Symposium, Houston, TX, April 2019 Association for Women in Mathematics Series Volume 21 SeriesEditor KristinLauter MicrosoftResearch Redmond,Washington,USA Association for Women in Mathematics Series Focusingonthegroundbreakingworkofwomeninmathematicspast,present,and future,Springer’sAssociationforWomeninMathematicsSeriespresentsthelatest research and proceedings of conferences worldwide organized by the Association forWomeninMathematics(AWM).Allworksarepeer-reviewedtomeetthehighest standardsofscientificliterature,whilepresentingtopicsatthecuttingedgeofpure and applied mathematics, as well as in the areas of mathematical education and history. Since its inception in 1971, The Association for Women in Mathematics has been a non-profit organization designed to help encourage women and girls to study and pursue active careers in mathematics and the mathematical sciences and to promote equal opportunity and equal treatment of women and girls in the mathematical sciences. Currently, the organization represents more than 3000 members and 200 institutions constituting a broad spectrum of the mathematical community,intheUnitedStatesandaroundtheworld. Moreinformationaboutthisseriesathttp://www.springer.com/series/13764 Bahar Acu (cid:129) Donatella Danielli (cid:129) Marta Lewicka Arati Pati (cid:129) Saraswathy RV Miranda Teboh-Ewungkem Editors Advances in Mathematical Sciences AWM Research Symposium, Houston, TX, April 2019 Editors BaharAcu DonatellaDanielli DepartmentofMathematics DepartmentofMathematics NorthwesternUniversity PurdueUniversity Evanston,IL,USA WestLafayette,IN,USA MartaLewicka AratiPati DepartmentofMathematics DepartmentofMathematics UniversityofPittsburgh St.ThomasUniversity Pittsburgh,PA,USA Houston,TX,USA SaraswathyRV MirandaTeboh-Ewungkem SecurityandPrivacy DepartmentofMathematics BoschResearchandTechnologyCenter LehighUniversity Pittsburgh,PA,USA Bethlehem,PA,USA ISSN2364-5733 ISSN2364-5741 (electronic) AssociationforWomeninMathematicsSeries ISBN978-3-030-42686-6 ISBN978-3-030-42687-3 (eBook) https://doi.org/10.1007/978-3-030-42687-3 MathematicsSubjectClassification:00B25 ©TheAuthor(s)andtheAssociationforWomeninMathematics2020 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthors,andtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressedorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG. Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface Thisvolumehighlightsthemathematicalresearchpresentedatthe2019Association for Women in Mathematics (AWM) Research Symposium. This event, fifth in the biennial series launched in 2011, was held at Rice University on April 6– 7, 2019. The objective of the AWM Research Symposia Series is to showcase research from women across the mathematical sciences, working in academia, government, and industry. Additionally, these symposia facilitate the creation of newresearchcollaborationnetworksandsupporttheonesalreadyexistinginmany areas of mathematics. They feature women across the whole career spectrum: undergraduates,graduatestudents,postdocs,andprofessionals.Thesymposiaalso include career panels and social events to enable networking among women in different paths or career stages while promoting the discussion of prospects, visibility,andrecognition. v vi Preface About the2019AWMResearchSymposium The 2019 AWM Research Symposium was organized by Ruth Haas, Shelly Harvey, Raegan Higgins, Magnhild Lien, Omayra Ortega, Karoline Pershell, Ami Radunskaya,andBeatriceRivière.Theeventwasattendedbyover340participants, gathering from 42 states in the USA, Canada, Colombia, Germany, Mexico, and Turkey.TheSymposiumfeatured: (cid:129) 3plenarytalksbydistinguishedwomenmathematicians(seeTable1); (cid:129) 16 special sessions addressing a broad range of research in pure mathematics, appliedmathematics,andmathematicseducation(Table2); Table1 Plenarytalks Speaker Title SusanneC.Brenner HigherOrderEllipticProblems KristinLauter HowtoKeepYourSecretsinaPost-QuantumWorld ChelseaWalton QuantumSymmetry Table2 Specialsessions Title Organizers AnalysisandNumericalMethodsforKinetic LiuLiu TransportandRelatedModels AppliedandComputationalHarmonicAnalysis JuliaDobrosotskayaandXuemeiChen BraidGroupsandQuantumComputing ColleenDelaney,JenniferVasquez,andHelen Wong CombinatorialAlgebra ChristineBerkeschandLauraFelicia Matusevich CombinatorialCommutativeAlgebra SaraFaridiandSusanMorey CurrentChallengesinMathematicalBiology ReneeDale EducationPartnerships:University EvanRushton MathematicsFacultyandK-12Mathematics Teachers GraphTheory CarolynReinhartandKateLorenzo MathontheEDGE SarahChehade MultiphysicsandMultiscaleproblems YueYuandXingjieLi NewAdvancesinSymplecticandContact JoNelsonandMorganWeiler Topology NewDevelopmentsinAlgebraicBiology AnneShiuandBrandilynStigler Origami,BelyiMaps,andDessinsD’Enfants RachelDavisandEdrayGoins RecentDevelopmentsintheAnalysisof DonatellaDanielliandCameliaPop Obstacleproblems OnAdvancesandNewTechniquesofFluid BetulOrcanEkmekci DynamicsandDispersiveEquations Topologyof3-and4-Manifolds AllisonN.MillerandArunimaRay WDS:WomeninDataScience JingQinandYifeiLou Preface vii Table3 InvitedsessionsbyresearchnetworkssupportedbytheAWMADVANCEGrant Title Organizers ACxx:WomeninAlgebraicCombinatorixx: ElizabethNieseandElizabethDrellich EnumerativeandAlgebraicCombinatorics WIC:WomeninControl:ControlinInfinite LorenaBociuandIrenaLasiecka DimensionalSystems WICA:WomeninCommutativeAlgebra SandraSpiroffandAdelaVraciu WIG:WomeninGeometry LizStanhopeandChikakoMese WIMB:WomeninMathBiology:Advancesin AngelaPeaceandWenjingZhang MathematicalBiology WIMM:WomeninMathMaterials MalenaEspanolandHalaAHShehadeh WIN:WomeninNumbers MichelleManes,IlaVarma WINART:WomeninNoncommutative VanC.Nguyen,JuliaPlavnik,andSarah AlgebraandRepresentationTheory: Witherspoon HomologicalMethodsinNoncommutative AlgebraandRepresentationTheory WINASC:WomeninNumericalAnalysisand BoDongandAdriannaGillman ScientificComputing:Recentadvancesin numericalmethodsanditsapplications WinCompTop:WomeninComputational ErinChambers,BrittanyTereseFasy,and Topology:TrendsinComputationalTopology ElizabethMunch WiSDM:WomenintheScienceofDataand LindaNessandCarlottaDomeniconi Mathematics:DataScienceTheoryand Practice WiSh:WomeninShapeModeling KathrynLeonardandTerryKnight WIT:WomeninTopology:Topicsin SarahYeakelandMartinaRovelli HomotopyTheory (cid:129) 14 invited sessions organized by research networks supported by the AWM ADVANCEgrant(Table3); (cid:129) apostersessionforgraduatestudentsandrecentPh.D.s; (cid:129) aWikipediaEdit-a-Thon; (cid:129) aprofessionaldevelopmentpanelonmathematicsingovernmentandindustry; (cid:129) a presentation of funding opportunities by the NSF Program Director Yuliya Gorb,followedbyaQ&Asession; (cid:129) aninformationalmeetingaboutestablishingandmaintainingresearchnetworks, hostedbyAWMADVANCEDirectorMagnhildLienandco-PIKristinLauter; (cid:129) areceptionandabanquet. The keynote speakers at the banquet were: Provost Marie Lynn Miranda (Rice University) and PhD candidate and Science Master Teacher Mariam Manuel (teachHOUSTON). Provost Miranda shared insights about her efforts towards diversifyingfacultyatRiceUniversityandaskedtheaudiencetoberolemodelsfor thenextgeneration.Manueltalkedaboutcultivatingcreativeconfidenceingirlsand women. As a part of the banquet program, local initiatives that make a difference in encouraging girls and women to pursue mathematics were recognized. The viii Preface honored individuals were: Anne Papakonstantinou (Rice University Mathematics School Project Director), Paula Myrick Short (University of Houston Provost, DirectoroftheCenterforADVANCINGUHFacultySuccess),KelseyFriedemann (HoustonMuseumofNaturalScience,GirlsExploringMathandScienceProgram), Tricia Berry (UT Austin, Director, Texas Girls Collaborative Project), and Joanna Papakonstantinou(EpiscopalHighSchool,MathEducator). The Symposium also featured the Remembering Maryam Mirzakhani Exhibit, which includes photos of, and artwork based on the life of Maryam Mirzakhani, thefirstwomantobeawardedtheFieldsMedal.Theexhibitionwascreatedbythe InternationalMathematicalUnion’sCommitteeforWomeninMathematics(CWM) withCuratorThaisJordaoandDesignerRafaelMeirelesBarroso.Itwasfirstshown at the 2018 World Meeting for Women in Mathematics in Rio and during the InternationalCongressofMathematicians(ICM2018). For the full symposium schedule with a list of all talks, poster sessions, presenters,andotheractivities,pleasefollowtheprogramlinkontheconference’s website:https://awm-math.org/meetings/awm-research-symposium/. About ThisVolume Thisvolume opens withapartentitledFromthePlenaryTalks,featuringasurvey ofthefiniteelementmethodsforanellipticoptimalcontrolproblemwithpointwise state constraints, written by Susanne Brenner. After that, the papers are grouped together in several parts based on subject areas. Part II, Algebraic Combinatorics and Graph Theory, contains both original research and survey papers written by presentersinthesession“ACxx:WomeninAlgebraicCombinatorics”and“Graph Theory.” Part III, Algebraic Biology, consists of four papers based on talks in the session“NewDevelopmentsinAlgebraicBiology.”PartIV,CommutativeAlgebra, features original research presented in the session “Combinatorial Commutative Algebra,”andasurveybyaspeakerinthesession“WICA:WomeninCommutative Algebra.”PartV,Analysis,Probability,andPDEs,collectsresearchfeaturedinthe sessions“WDS:WomeninDataScience”and“OnAdvancesandNewTechniques ofFluidDynamicsandDispersiveEquations,”togetherwithasurveypaperwritten by a speaker in the session “Recent Developments in the Analysis of Obstacle problems.” Part VI, Topology, consists of an original contribution by a presenter inthesession“WIT:WomeninTopology”andasurveybyaspeakerinthesession “NewAdvancesinSymplecticandContactTopology.”ThisisfollowedbyPartVII, “Applied Mathematics,” which collects original research presented in the session “WIC:WomeninControl,”togetherwithsurveypapersauthoredbyspeakersinthe sessions “WIMM: Women in Math Materials,” “WISDM: Women in the Science of Data and Mathematics,” and “WiSh: Women in Shape Modeling.” The volume concludeswithPartVIII,MathEducation,containingsurveyarticlesbypresenters in the session “Education Partnerships: University Mathematics Faculty and K-12 MathematicsTeachers.” Preface ix Acknowledgments Firstly, we express gratitude to the authors who submitted their manuscripts, and to the referees who carefully reviewed them and provided valuable feedback. All articlesinthisvolumehavebeenpeer-reviewed. An acknowledgement extends to the organizers of the Symposium for their time, effort, and dedication, and to the host institution for providing the necessary resourcesandinfrastructures.Furtheracknowledgementisduetothesponsorsofthe 2019AWMResearchSymposium,whichare:RiceUniversity,theAmericanMath- ematical Society, the Association of Members of the Institute for Advanced Stud- ies, the Mathematical Association of America, Microsoft Research, the National Security Agency, the National Science Foundation, Overleaf, and Springer. An appreciationis,likewise,extendedtoallSymposiumExhibitors. Finally, the Editors would like to thank Kristin Lauter, Editor of the AWM SpringerSeries,fortheopportunityofpublishingthisvolume. Evanston,IL,USA BaharAcu WestLafayette,IN,USA DonatellaDanielli Pittsburgh,PA,USA MartaLewicka Houston,TX,USA AratiPati Pittsburgh,PA,USA SaraswathyRV Bethlehem,PA,USA MirandaTeboh-Ewungkem December2019
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