## AWM at JMM 2011

#### New Orleans, LA

#### Thursday, January 6, 2011, 12:15 pm. − 1:30 p.m., La Galerie 1, 2nd floor, Marriott

### AWM Business Meeting

#### Thursday, January 6, 2011, 2:45 p.m. − 6:15 p.m., Le Galerie 1, 2nd floor, Marriott

### AWM Schafer Minisymposium

- Abstracts
- Organizers:
- Sami Assaf, Massachusetts Institute of Technology
- Patricia Hersh, North Carolina State University

**2:45 p.m. Life in the Trenches with Alice–The Early Years**,

Mary W. Gray*, American University, Washington DC

(1067-01-567)**3:15 p.m. Sparse Regular Random Graphs: Spectra and Eigenvectors**,

Ioana Dumitriu*, University of Washington

Soumik Pal, University of Washington

(1067-60-2169)**3:45 p.m. Bose-Einstein condensation, the NLS, and a phase transition**,

Kay L Kirkpatrick*, Courant Institute/Paris IX Dauphine

(1067-82-496)**4:15 p.m. Do the primes behave independently?**,

Melanie Matchett Wood*, American Institute of Mathematics and Stanford University

(1067-11-529)**4:45 p.m. Traces and topological fixed point theory**,

Kate Ponto*, University of Kentucky

(1067-55-1226)**5:15 p.m. Panel Discussion: Getting Started as a Research Mathematician**,

#### Thursday, January 6, 2011, 2:45 p.m. − 6:15 p.m., Le Galerie 1, 2nd floor, Marriott

### AWM Schafer Minisymposium Panel Discussion

- Moderators:
- Elizabeth Wilmer, Oberlin College
- Panelists:
- Linda Green, Dominican University of California
- Zvezdelina Stankova, Mills College
- Caroline Klivans, University of Chicago
- Josephine Yu, Georgia Institute of Technology

#### Thursday, January 6, 2011, 9:30 p.m. − 11:00 p.m., Great Ballroom Foyer, 5th Floor, Sheraton

### AWM Reception and Prize Session

#### Friday, January 7, 2011, 10:05 a.m. − 10:55 a.m., Great Ballroom A-C, 5th Floor, Sheraton

### AWM Noether Lecture – Orthogonal Representations: From Groups to Hopf Algebras

#### M. Susan Montgomery, University of Southern California

In recent years Hopf algebras have had applications in mathematical physics, in particular conformal field theory, and in other parts of mathematics, such as knot theory and operator algebras. In this talk we discuss some recent progress in the representation theory of Hopf algebras which extends classical work in group theory.

Frobenius and Schur showed in 1906 that one can decide whether or not a complex representation V of a finite group G is real by computing the value of \(\nu(V)=\frac{1}{|G|}\sum_g \chi(g^2),\)
where χ is the character of *V*, *ν*(*V*), the indicator of *V*, takes only three values, 0, 1, or −1. The representation is real precisely when *ν*(*V* ) = +1; equivalently *V* has a symmetric non-degenerate ℂ-bilinear *G*-invariant form. Thus the elements of *G* act as orthogonal transformations on *V*.

In the last decade, Frobenius-Schur indicators have been extended to finite dimensional Hopf algebras and beyond, such as to quasi-Hopf algebras and fusion categories; they are invariants of the monoidal (tensor) category of representations. Moreover there are applications of indicators to Hopf algebras whose statements do not use indicators, such as results about classification or about the exponent of the Hopf algebra.

#### Friday January 7, 2011, 1:00 p.m.-2:30 p.m., Oak Alley Room, 4th Floor, Sheraton

### AWM-JCW Panel Discussion: Women in the mathematical sciences: Looking back, looking forward

- Organizers:
- Terrell Hodge, Western Michigan University
- Maura Mast, University of Massachusetts Boston
- Panelists:
- Mary Gray, American University
- Jim Lewis, University of Nebraska-Lincoln
- Jill Pipher, Brown University
- Jean Taylor, Rutgers University
- Marie Vitulli, University of Oregon
- Moderators: Terrell Hodge

#### Saturday January 8, 2011, 8:00 a.m. – 10:50 a.m., Nottoway Room, 4th Floor, Sheraton

### AMS-AWM Special Session on Hopf Algebras and Their Representations, I

- Abstracts
- Organizers:
- M. Susan Montgomery, University of Southern California smontgom@usc.edu
- Siu-Hung Ng, Iowa State University
- Sarah J. Witherspoon, Texas A&M University

**8:00 a.m. Right coideal subalgebras of Nichols algebras and the Duflo order of the Weyl groupoid**,

Hans-Juergen Schneider*, Ludwig-Maximilians-Universitaet Muenchen

Istvan Heckenberger, Philipps-Universitaet Marburg

(1067-20-1153)**8:30 a.m. Conjugacy classes for Hopf algebras**,

Miriam Cohen*, Ben Gurion University

Sara Westreich, Bar Ilan University

(1067-16-422)**9:00 a.m. Secondary cohomology for Hopf algebras**,

Mihai D. Staic*, DePaul University

(1067-16-618)**9:30 a.m. Classification of isomorphism types of a class of abelian extensions,**

Leonid Krop*, DePaul University

Yevgenia Kashina, DePaul University

(1067-16-429)**10:00 a.m. On classification of certain abelian extensions**,

Yevgenia Kashina*, DePaul University

Leonid Krop, DePaul University

(1067-16-2356)**10:30 a.m. On Multigraded combinatorial Hopf algebras**,

Samuel K Hsiao, Bard College

Gizem Karaali*, Pomona College

(1067-16-793)

#### Saturday January 8, 2011, 8:00 a.m. – 11:00 a.m., La Galerie 1, 2nd Floor, Marriott

### AWM Hay Minisymposium

- Abstracts
- Organizers:
- Cathy Kessel, Education Consultant
- W. James Lewis, University of Nebraska-Lincoln

**8:00 a.m. Mathematics, Educational Research, and STEM Education Policy: Challenges and Opportunities in the Intersection**,

Joan Ferrini-Mundy*, National Science Foundation and Michigan State University

(1067-97-2203)**8:30 a.m. Addressing Challenges in the Common Core: Mathematics Specialists in Elementary and Middle Schools**,

Patricia F Campbell*, University of Maryland

(1067-97-1622)**9:00 a.m. The Role of Logic in the K-12 Mathematics Curriculum**,

Susanna S Epp*, DePaul University

(1067-97-2152)**9:30 a.m. The Power of Interdisciplinary Bridges: Throwing the Net Widely**,

Deborah Hughes Hallett*, University of Arizona/Harvard Kennedy School

(1067-97-1237)**10:00 a.m. Panel Discussion: The Mathematical Education of Teachers and the Common Core**

#### Saturday January 8, 2011, 8:00 a.m.-11:00 a.m., La Galerie 1, 2nd Floor, Marriott

### AWM Hay Minisymposium Panel Discussion: The mathematical education of teachers and the common core

- Moderators:
- W. James Lewis, University of Nebraska-Lincoln
- Panelists:
- Phyllis Chinn, Humboldt State University
- Harriet Pollatsek, Mount Holyoke College
- Annie Selden, New Mexico State University
- Martha Smith, University of Texas at Austin

#### Saturday January 8, 2011, 1:00 p.m. – 5:50 p.m., Nottoway Room, 4th Floor, Sheraton

### AMS-AWM Special Session on Hopf Algebras and Their Representations, II

- Abstracts
- Organizers:
- M. Susan Montgomery, University of Southern California smontgom@usc.edu
- Siu-Hung Ng, Iowa State University
- Sarah J. Witherspoon, Texas A&M University

**1:00 p.m. A Freeness Result Revisited**,

David E. Radford*, U. of Illinois at Chicago

(1067-16-1849)**1:30 p.m. Hopf algebras of small dimension**,

Margaret Beattie*, Mount Allison University

(1067-16-1322)**2:00 p.m. The Central Charge of Factorizable Hopf Algebras coming from Bilinear Forms**,

Yorck Sommerhaeuser*, University of South Alabama

(1067-16-2184)**2:30 p.m. A**,*q*-identity related to a comodule

Andrea Jedwab*, University of Southern California

Susan Montgomery, University of Southern California

(1067-16-1064)**3:00 p.m. The Lie product in the continuous Lie dual of the Witt algebra**,

Earl J. Taft*, Rutgers University

Zhifeng Hao, South China University of Technology

(1067-17-212)**3:30 p.m. Indicators for the Drinfel’d doubles of certain groups**,

Marc Keilberg*, University of California San Diego

(1067-16-1876)**4:00 p.m. Drinfeld centers of graded fusion categories**,

Shlomo Gelaki, Technion-Israel Institute of Technology

Deepak Naidu*, Texas A&M University

Dmitri Nikshych, University of New Hampshire

(1067-00-465)**4:30 p.m. Fusion categories of dimension**,*pq*^{2}

David A Jordan*, Massachusetts Institute of Technology

Eric Larson, Harvard University

(1067-18-1455)**5:00 p.m. Cocycle deformations, calculus, and extensions**,

Mitja Mastnak*, Saint Mary’s University

(1067-16-1258)**5:30 p.m. Hopf algebraic approach to Picard-Vessiot theory**

Akira Masuoka*, University of Tsukuba

(1067-16-891)

#### Saturday January 8, 2011, 1:00 p.m. – 5:30 p.m., La Galerie 1, 2nd Floor, Marriott

### AWM Michler-Mentoring Minisymposium

- Abstracts
- Organizers:
- Georgia Benkart, University of Wisconsin-Madison benkart@math.wisc.edu
- J. Matthew Douglass, University of North Texas

**1:00 p.m. A Meeting of Algebra and Geometry in Decorated Graphs**,

Rebecca F Goldin*, George Mason University,

(1067-51-592)**1:30 p.m. An optimal metrization theorem for topological groupoids**,

Irina Mitrea*, University of Minnesota

(1067-00-1870)**2:00 p.m. Heat kernel analysis on infinite-dimensional curved spaces**,

Masha Gordina*, University of Connecticut

(1067-58-660)**2:30 p.m. Interplay of Combinatorics and Topology through Posets**,

Patricia L. Hersh*, North Carolina State University

(1067-05-1124)**3:00 p.m. The Evolution of Spatio-Temporal Models of Tumor Angiogenesis**,

Trachette L. Jackson*, University of Michigan

(1067-92-525)**3:30 p.m. Weak and numerical solutions for coupled Navier-Stokes, Darcy and transport equations**,

Beatrice Riviere*, Rice University

(1067-65-2025)**4:00 p.m. Panel Discussion: Mentors Count!**

#### Saturday January 8, 2011, 4:00 p.m. – 5:30 p.m., La Galerie 1, 2nd Floor, Marriott

### AWM Michler-Mentoring Minisymposium Panel Discussion: Mentors count!

- Moderators:
- Marie Vitulli, University of Oregon
- Panelists:
- Allan Donsig, University of Nebraska-Lincoln
- Ruth Haas, Smith College
- Rhonda Hughes, Bryn Mawr College
- Trachette Jackson, University of Michigan
- Moira Mc Dermott, Syracuse University

#### Sunday January 9, 2011, 8:00 a.m. – 10:20 a.m., Mardi Gras E, 3rd Floor, Marriott

### AWM Workshop: Research Presentations by Recent Ph.D.s, I

- Abstracts
- Chairs:
- Rachelle DeCoste, Wheaton College

**8:00 a.m. Tensor category of integrable modules over ??**,_{∞}, ??_{∞}, and ??_{∞}

Elizabeth Dan-Cohen*, Jacobs University Bremen

Ivan Penkov, Jacobs University Bremen

Vera Serganova, U.C. Berkeley

(1067-17-244)**8:30 a.m. Prime Ideals in Birational Extensions of Two-Dimensional Power Series Rings**,

Christina L. Eubanks-Turner*, University of Louisiana at Lafayette

Serpil Saydam, University of Louisiana at Monroe

Melissa Luckas, University of Nebraska-Lincoln

(1067-13-230)**9:00 a.m. Freeness of Arrangement Bundles**,

Amanda C Hager*, USMA West Point

(1067-55-273)**9:30 a.m. Divisibility properties and recursions for the Hilbert series of Macdonald polynomials**,.

Elizabeth M Niese*, Virginia Tech

Nicholas Loehr, Virginia Tech

(1067-05-227)**10:00 a.m. Fourier-Jacobi coefficients of Eisenstein series on unitary group and the application in Iwasawa main conjecture**,

Bei Zhang*, Northwestern University

(1067-11-260)

#### Sunday January 9, 2011, 10:30 a.m. – 11:00 a.m., Mardi Gras E, 3rd Floor, Marriott

### AWM Workshop: Poster Session with Presentations from Women Graduate Students

- Abstracts
- Organizers:
- Cammey Cole Manning, Meredith College

**Zero Cycles of Degree One on Principal Homogeneous Spaces**,

Jodi A. Black*, Emory University

(1067-11-210)**Algebraic model structures**,

Emily Riehl*, University of Chicago

(1067-18-228)**Long Time Behavior of radially symmetric solutions of higher dimensional Kuramoto-Sivashinsky Equation**,

Aslihan Demirkaya*, University of Kansas

(1067-37-249)**Conjugacy Classes of**,*σ*-stable Maximal*k*-split Tori

Catherine Andrea Buell*, North Carolina State University

(1067-20-256)**A Generalization of Turaev’s Virtual String Cobracket and the Homotopy Rank of a Virtual String**,

Patricia R Cahn*, Dartmouth College

(1067-57-258)**A Finite Element Approach to**,*C*Extension using Prefractals^{β}

Emily J Evans*, Worcester Polytechnic Institute

(1067-35-259)**An example of computing local cohomology**,

Emily E. Witt*, University of Michigan

(1067-13-266)**A counterexample related to Muckenhoupt-Wheeden conjecture**,

Maria Carmen Reguera*, Georgia Institute of Technology

(1067-43-271)**Calculus of Functors**,

Rosona M Eldred*, University of Illinois at Urbana-Champaign

(1067-18-285)**Modeling of Intracranial Aneurysms using Immersed Boundary Methods**,

Lisa Melanson*, Northwestern University

(1067-76-289)**Characterizations of Projective Spaces and Smooth Quadric Hypersurfaces via ∧**,^{p}T_{X}

Kiana L. Ross*, University of Washington

(1067-14-290)**Cluster Analysis of Data on Finite Groups and Homogeneous Spaces**

Paige E. Rinker*, Dartmouth College

(1067-08-326)

#### Sunday January 9, 2011, 1:00 p.m. – 2:15 p.m., Mardi Gras E, 3rd Floor, Marriott

### AWM Workshop Panel Discussion : Starting a career in mathematics

- Moderators:
- Susan Williams, University of South Alabama
- Panelists:
- Sarah Frick, Furman University
- Pierre Gremaud, SAMSI and North Carolina State University
- T.Christine Stevens, Saint Louis University
- Tad White, National Security Agency

#### Sunday January 9, 2011, 2:30 p.m. – 3:50 p.m., Mardi Gras E, 3rd Floor, Marriott

### AWM Workshop: Research Presentations by Recent Ph.D.s, II

- Abstracts
- Chairs:
- Alissa Crans, Loyola Marymount University

**2:30 p.m. Predicting Tumor Response to Vascular-Targeting Therapies using a Mathematical Model**,

Jana Gevertz*, The College of New Jersey

(1067-92-188)**3:00 p.m. Steklov-Neumann Eigenproblems and Nonlinear Elliptic Equations with Nonlinear Boundary Conditions**,

Nsoki Mavinga*, University of Rochester, NY

M. N. Nkashama, University of Alabama at Birmingham

(1067-35-261)**3:30 p.m. Compatibility of Slender Body Theory and Surface Traction**

Eva M Strawbridge*, University of Chicago

(1067-92-201)