Table Of ContentAssociation 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
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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
