AWM Research Symposium 2013

Contributed Paper and Special Sessions Schedule

Saturday, March 16, 2013 10:00 – 12:00

Special Session: Algebraic Combinatorics I, Room 104, O’Connor Hall

Organizers: Hélène Barcelo, Susanna Fishel, and Kelli Talaska

  • 10:00‐10:20 Face Numbers of Centrally Symmetric Polytopes
  • Isabella Novik, University of Washington
  • 10:30‐10:50 Bott‐Samelson Varieties, Subword Complexes and Associahedra
  • Laura Escobar‐Vega, Cornell University
  • 11:00‐11:20 Perturbation of Transportation Polytopes
  • Fu Liu, University of California, Davis
  • 11:30‐11:50 Counting Faces and Flags in Polytopes
  • Margaret Bayer, University of Kansas

Special Session: Analysis of PDEs in Newtonian and Non‐Newtonian Fluid Mechanics I, Room 206, O’Connor Hall

Organizers: Evelyn Lunasin and Anna Mazzucato

  • 10:00‐10:20 Harnack‐type Inequality and One‐sided Liouville’s Theorem for Second Order Elliptic
    Equations with Divergence Free Drift
  • Mihaela Ignatova, Stanford University
  • 10:30‐10:50 The Inviscid Limit for Two‐dimensional Incompressible Flow
  • Elaine Cozzi, Oregon State University
  • 11:00‐11:20 The Global Well‐posedness of a 3D Pseudo‐Hasegawa‐Mima Model
  • Aseel Farhat, Indiana University
  • 11:30‐11:50 Optimal Mixing for Fixed Energy, Fixed Power and Fixed Palenstrophy Flows
  • Evelyn M. Lunasin, University of Michigan

Special Session: Commutative Algebra I, Room 105, O’Connor Hall

Organizers: Louiza Fouli and Claudia Polini

  • 10:00‐10:20 Duality Phenomena for Koszul Homology
  • Claudia Miller, Syracuse University
  • 10:30‐10:50 Hilbert Coefficients of Parameter Ideals
  • Jooyoun Hong, Southern Connecticut State University
  • 11:00‐11:20 Normality of Square‐free Monomial Ideals
  • Kuei‐Nuan Lin, University of California, Riverside
  • 11:30‐11:50 Laplace Equations and the Weak Lefschetz Property
  • Rosa Miró‐Roig, Universitat de Barcelona

Special Session: Groups and Geometry I, Room 106, O’Connor Hall

Organizers: Alexandra Pettet and Jing Tao

  • 10:00‐10:20 The Kakimizu Complex of a Knot
  • Jennifer Schultens, University of California, Davis
  • 10:30‐10:50 Ends of Finite Volume, Negatively Curved Manifolds
  • Tam Nguyen Phan, Ohio State University
  • 11:00‐11:20 Right‐angled Coxeter Groups, Polyhedral Complexes, and Acute Triangulations
  • Genevieve Walsh, Tufts University
  • 11:30‐11:50 Divergence in Right‐angled Coxeter Groups
  • Pallavi Dani, Louisiana State University

Special Session: Harmonic Analysis and its Applications I, Room 204, O’Connor Hall

Organizer: Malabika Pramanik

  • 10:00‐10:40 Harmonic Analysis in Several Complex Variables
  • Loredana Lanzani, University of Arkansas and NSF
  • 10:45‐11:05 Intersection of Translates of Dyadic Function Classes
  • Lesley Ward, University of South Australia
  • 11:10‐11:30 Uniqueness of Extremizers in an Endpoint Inequality of the k‐Plane Transform
  • Taryn Flock, University of California, Berkeley
  • 11:35‐11:55 Uniform Lp Improving for Weighted Averages on Curves
  • Betsy Stovall, University of Wisconsin‐Madison

Special Session: Low‐dimensional Topology, Room 109

Organizers: Shelly Harvey and Ina Petkova

  • Low‐dimensional Topology Informal Discussion

Special Session: Mathematics for Human Physiology and Disease I, Room 207, O’Connor Hall

Organizers: Victoria Booth and Trachette Jackson

  • 10:00‐10:20 Multiscale Models of the Axonal Cytoskeleton
  • Chuan Xue, Ohio State University
  • 10:30‐10:50 Theoretical Model of Blood Flow Autoregulation in the Retina
  • Julia Arciero, Indiana University‐Purdue University Indianapolis
  • 11:00‐11:20 Modeling Tumor Heterogeneity and Drug Resistance
  • Jasmine Foo, University of Minnesota
  • 11:30‐11:50 Exploring Cholera Dynamics and Transmission Pathways Using Identifiability and
    Parameter Estimation
  • Marisa Eisenberg, University of Michigan

Special Session: Model Theory Session in Honor of Carol Wood, Room 107, O’Connor Hall

Organizers: Alice Medvedev and Lynn Scow

  • 10:00‐10:35 Some New Results in the Model Theory of Separably Closed Valued Fields
  • Deirdre Haskell, McMaster University
  • 10:45‐11:20 Stability Theoretic Properties of Omega‐free PAC Fields
  • Zoe Chatzidakis, Université Paris 7
  • 11:30‐11:50 A Universal First‐order Formula for the Ring of Integers Inside a Number Field
  • Jennifer Park, MIT

Special Session: Numerical Methods for PDEs, Room 208, O’Connor Hall

Organizers: Yingda Cheng and Fengyan Li

  • Numerical Methods for PDEs Informal Discussion

Special Session: Random Matrix Theory and Applications, Room 205, O’Connor Hall

Organizer: Ioana Dumitriu

  • 10:00‐10:45 From Operator Theory to Random Matrix Theory and Back Again
  • Estelle Basor, AIM
  • 11:00‐11:20 On Confinement and Stochastic Particles
  • Irina Nenciu, University of Illinois‐Chicago
  • 11:30‐11:50 Large Deviations for Point Process Limits of Random Matrices
  • Diane Holcomb, University of Wisconsin‐Madison

Saturday, March 16, 2013 1:30- 3:30

Special Session: Algebraic Combinatorics II, Room 104, O’Connor Hall

  • 1:30‐1:50 Flows on Honeycombs and Sums of Littlewood‐Richardson Tableaux
  • Tamsen McGinley, Santa Clara University
  • 2:00‐2:20 q‐Rook Placements and Jordan Forms
  • Martha Yip, University of Pennsylvania
  • 2:30‐2:50 Fixed Points and Gardens of Eden in the Dominance Poset
  • Tina Garrett, St. Olaf College
  • 3:00‐3:20 Bijective Projections on Parabolic Quotients of Affine Weyl Groups
  • Elizabeth Beazley, Haverford College

Special Session: Analysis of PDEs in Newtonian and Non‐Newtonian Fluid Mechanics II, Room 206, O’Connor Hall

Organizers: Evelyn Lunasin and Anna Mazzucato

  • 1:30‐1:50 Inviscid Limit of Stochastic Damped 2D Navier‐Stokes Equations
  • Hakima Bessaih, University of Wyoming
  • 2:00‐2:20 Instabilities and Elastic Turbulence in a Stokesian Viscoelastic Flow
  • Becca Thomases, University of California Davis
  • 2:30‐2:50 Norm inflation for Generalized Navier‐Stokes Equations
  • Mimi Dai, University of Colorado at Boulder
  • 3:00‐3:20 Uniqueness and Non‐uniqueness Questions for the Navier‐Stokes Equations on
    Hyperbolic Space
  • Magdalena Czubak, SUNY‐Binghamton

Special Session: Commutative Algebra II, Room 105,  O’Connor Hall

Organizers: Louiza Fouli and Claudia Polini

  • 1:30‐1:50 Betti Numbers of Monomial Curves
  • Hema Srinivasan, University of Missouri
  • 2:00‐2:20 F‐Pure Thresholds of Quasi‐homogenous Polynomials
  • Emily Witt, University of Minnesota
  • 2:30‐2:50 The Generalized First Hilbert Coefficient
  • Yu Xie, Georgia State University
  • 3:00‐3:20 Chains of Square‐free Monomial Ideals and Their Frobenius Algebras
  • Janet Vassiliev, University of New Mexico

Special Session: Groups and Geometry, Room 109,  O’Connor Hall

Organizers: Alexandra Pettet and Jing Tao

  • Groups and Geometry Informal Discussion

Special Session: Harmonic Analysis and its Applications II, Room 204, O’Connor Hall

Organizer: Malabika Pramanik

  • 1:30 – 1:50 Boundary Value Problems for Elliptic Operators with Real Non‐symmetric
    Coefficients
  • Svitlana Mayboroda, University of Minnesota
  • 2:00‐2:20 The A2 Conjecture for Spaces of Homogeneous Type
  • Theresa Anderson, Brown University
  • 2:30‐2:50 Space‐filling Curves and Phases of the Loewner Equation
  • Joan Lind, University of Tennessee
  • 3:00‐3:20 The Square Variation of Rearranged Fourier Series
  • Allison Lewko, Microsoft Research

Special Session: Low‐dimensional Topology I, Room 106, O’Connor Hall

Organizers: Shelly Harvey and Ina Petkova

  • 1:30‐1:50 Categorified Invariants and the Braid Group
  • Ellsenda Grisby, Boston College
  • 2:00‐2:20 Dehn Twists and Free Subgroups of the Symplectic Mapping Class Group
  • Ailsa Keating, Massachusetts Institute of Technology
  • 2:30‐2:50 Knots and Webs
  • Heather Russell, University of Southern California
  • 3:00‐3:20 Obstructing Finite Surgery: an Application of Heegaard Floer Homology
  • Margaret Doig, Indiana University

    Special Session: Mathematics for Human Physiology and Disease II, Room 207, O’Connor Hall

    Organizers: Victoria Booth and Trachette Jackson

    • 1:30‐1:50 Conductance‐based Motoneuron Model for Examining Multiple Channelopathies in
      Motoneuron Disease
    • Sharmila Venugopal, Dept. of Integrative Biology & Physiology, UCLA
    • 2:00‐2:20 Balanced Cortical Microcircuitry for Maintaining Short‐term Memory
    • Sukbin Lim, Dept. of Neurobiology, University of Chicago
    • 2:30‐2:50 Mathematical Modeling of Sleep‐wake Dynamics
    • Cecilia Diniz Behn, Gettysburg College
    • 3:00‐3:20 Low‐dimensional Descriptions of Neural Networks
    • Andrea Barreiro, Southern Methodist University

    Special Session: Model Theory Session in Honor of Carol Wood II, Room 107, O’Connor Hall

    Organizers: Alice Medvedev and Lynn Scow

    • 1:30‐1:50 Ultrapowers of Graphs: Theorems, Examples, Questions
    • Maryanthe Malliaris, University of Chicago
    • 2:00‐2:20 Zero‐One Miscellanea
    • Rehana Patel, Olin College of Engineering
    • 2:30‐2:50 The Reducts of Countable Categorical Graph
    • Yun Lu, Kutztown University of PA
    • 3:00‐3:20 NTP1 Theorems
    • Gwyneth Harrison‐Shermoen, University of California Berkeley

    Special Session: Numerical Methods for PDEs I, Room 205, O’Connor Hall

    Organizers: Yingda Cheng and Fengyan Li

    • 1:30‐1:50 Lax‐Friedrichs Fast Sweeping Methods
    • Chiu‐Yen Kao, Claremont McKenna College
    • 2:00‐2:20 Fast Sweeping Methods for Systems of Conservation Laws
    • Brittany Froese, University of Texas, Austin
    • 2:30‐2:50 A Simple WENO Limiter
    • Xinghui Zhong, Michigan State University
    • 3:00‐3:20 High Order Finite Difference Methods for Maxwell’s Equations in Dispersive Media
    • Vrushali A. Bokil, Oregon State University

    Special Session: Random Matrix Theory and Applications, Room 208, O’Connor Hall

    Organizer: Ioana Dumitriu

    • Random Matrix Theory and Applications Informal Discussion

    Contributed Paper Session, Room 102, O’Connor Hall

    • 1:30‐1:45 Compression of Permutations
    • Amy Mihnea, Palm Beach Atlantic University
    • 1:55‐2:10 Vertex Isoperimetric Inequalities for a Family of Graphs on Zk
    • Ellen Veomett, Saint Mary’s College of California
    • 2:20‐2:35 Arithmetic Progressions on Curves
    • Alejandra Alvarado, Purdue University
    • 2:45‐3:00 Hydras: Directed Hypergraphs and Horn Formulas
    • Despina Stasi, Pennsylvania State University
    • 3:10‐3:25 Algebraic Criteria for Transversality of Singular Hypersurfaces and Applications
    • Eleonore Faber, University of Toronto