Abstracts - Grouped by Session

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• Algebraic Combinatorics, Representations and Geometry
• Algebraic Stacks
• Algorithmic Challenges in Polynomial and Linear Algebra
• Calculus of Variations in Physics, Geometry and Economics
• Combinatorics and its Applications to Mathematical Physics
• Complex Analytic Geometry
• Error Control Codes, Information Theory and Applied Cryptography
• Graph Theory
• History and Philosophy of Mathematics
• Homotopy Theory
• Iwasawa Theory
• Mathematical Applications of Category Theory
• Mathematical Imagination
• Mathematics of Finance
• Non-Commutative Geometry
• Nonlinear Wave Equations and Applications
• Quantum Information Theory in Quantum Gravity
• Contributed Papers

Algebraic Combinatorics, Representations and Geometry    [PDF]

• Marcelo Aguiar - Monoidal categories, Joyal's species, and combinatorial Hopf algebras
• Mahir Can - Bruhat Orders and Combinatorics on Reductive Monoids
• John Fountain - Reflection Monoids
• Eddy Godelle - The braid rook monoid
• Christophe Hohlweg - Permutahedra and Generalized Associahedra
• Zhenheng Li - Representations of the Symplectic Renner Monoid
• Zhuo Li - Poincaré Polynomials of Combinatorially Smooth Toric Varieties
• Martin Malandro - A Fast Fourier Transform for the Rook Monoid
• Claus Mokler - The face monoid associated to a Kac-Moody group and its infinite Renner monoid
• Lex Renner - Betti Numbers and H-polynomials
• Franco Saliola - Left regular bands and Solomon's descent algebras
• Benjamin Steinberg - On semigroups with basic complex algebra
• Hugh Thomas - A new partial order on a finite reflection group
• Hamid Usefi - Fox subgroups in modular group algebras
• Steven Wang - Schur rings and planar functions

Algebraic Stacks    [PDF]

• Jarod Alper - Good moduli spaces for Artin stacks
• Arend Bayer - Quantum cohomology of C^N/m_r
• Renzo Cavalieri - G-Hodge Integrals, Gerby Localization and the GW Theory of [C³/Z₃]
• Mike Fried - Atomic Orbital-type cusps on Alternating Group Modular Towers
• Yufeng Jiang - The integral Chow ring of toric Deligne-Mumford stacks
• Kiumars Kaveh - Convex bodies, isoperimetric inequality and degree of line bundles
• Daniel Krashen - Index reduction formulas for Brauer classes
• Manish Kumar - The fundamental group of smooth affine curves in positive characteristic
• Behrang Noohi
• Greg Smith - Constructions of toric Deligne-Mumford stacks
• Razvan Veliche - Maximally symmetric stable curves

Algorithmic Challenges in Polynomial and Linear Algebra    [PDF]

• Carlos Beltran - On the complexity of approximating solutions of systems of polynomial equations
• Jon Borwein - Computationally discovered and proved generating functions
• Jacques Carette - Algorithm families, or how to write less code that does more
• Wayne Eberly - On the Reliability of Block Wiedemann and Lanczos Algorithms-Another Piece of the Puzzle
• William M. Farmer - Formalizing the Context in Computational Mathematics
• Mark Giesbrecht - New Algorithms for Lacunary Polynomials
• Michael Jacobson - Computing the Regulator of a Real Quadratic Field
• Ilias Kotsireas - Systems of Polynomial Equations in Combinatorial Design Theory
• George Labahn - Conditioning of the Generalized Hankel Eigenvalue Problem
• Songxin Liang - A New Maple Package for Solving Parametric Polynomial Systems
• John May - A Symbolic-Numeric Approach to Computing Inertia of Products of Matrices of Rational Numbers
• Marc Moreno-Maza - Triangular decomposition of polynomial systems: from practice to high performance
• Eric Schost - Conversion algorithms for orthogonal polynomials
• Arne Storjohann - Faster algorithms for the Frobenius canonical form
• Yuzhen Xie - Solving Polynomial Systems Symbolically and in Parallel

Calculus of Variations in Physics, Geometry and Economics    [PDF]

• Almut Burchard - Solitary waves on an elastic curve
• Adrian Butscher - Collapsing Constant Mean Curvature Surfaces in Riemannian Manifolds
• Albert Chau - The Kahler-Ricci flow on complete non-compact manifolds and uniformization
• Alessio Figalli - A mass transportation approach to quantitative isoperimetric inequalities
• Yuxin Ge - Regularity of optimal transportation maps on nearly spherical manifolds
• Marc Henry - Mass transportation duality in econometrics
• Young-Heon Kim - Curvature and continuity of optimal transport
• Abdeslem Lyaghfouri - Hölder Continuity of Solutions to the A-Laplace Equation Involving Measures
• Abbas Moameni - Existence and concentration of solitary waves for a class of quasilinear Schrödinger Equations
• Santiago Moreno - Risk Minimization and Optimal Derivative Design in a Principal Agent Game
• Daniel Offin - Stability of minimizing solutions in the N-body problem
• Alexander Shnirelman - Variational problem in a partially ordered set and the problems of fluid dynamics
• Alina Stancu - On some new characterizations of ellipsoids
• Dennis The - The Principle of Symmetric Criticality in Gauge Theory
• Maxim Trokhimtchouk - Everywhere regularity of certain nonlinear systems

Combinatorics and its Applications to Mathematical Physics    [PDF]

• Renzo Cavalieri - Hyperelliptic Hodge integrals
• Leonid Chekhov - Teichmuller theory of bordered surfaces
• Shaun Fallat - The combinatorics of totally positive minors and implications
• Anna Felikson - Combinatorics of Coxeter polytopes
• Sergei Fomin - Cluster algebras associated with bordered surfaces
• Christof Geiss - Cluster algebras arising from preinjective modules
• Ian Goulden - New combinatorial solutions to the KP equations
• David Jackson - The f⁴-and Penner models of 2d Quantum gravity, the moduli space of curves and properties of 2-cell embeddings of graphs in Riemann surfaces
• Peter Magyar - Fusion of affine Schubert varieties
• Bruce Sagan - Monomial Bases for NBC Complexes
• Mark Skandera - On the cluster basis of z[x_1,1,...,x_3,3]
• John Stembridge - Admissible W-graphs
• Ravi Vakil - A natural smooth compactification of the space of elliptic curves in projective space
• Dave Wagner - Negative correlation inequalities for random-cluster models

Complex Analytic Geometry    [PDF]

• Janusz Adamus - Vertical components and local geometry of analytic mappings
• Edward Bierstone - Problems on resolution of singularities
• Alexander Brudnyi - On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N
• Debraj Chakrabarti - Holomorphic extension of CR functions from non-smooth hypersurfaces
• Adam Coffman - Unfolding CR singularities of real 4-manifolds in C5
• Peter Ebenfelt - Real hypersurfaces with constant Levi degeneracy
• Xianghong Gong - Regularity for the CR vector bundle problem
• Jaehong Kim - A splitting theorem for holomorphic Banach bundles
• Damir Kinzebulatov - On uniform subalgebras of H^¥ generated by almost-periodic functions
• Blaine Lawson - A Projective Analogue of Wermer's Theorem
• Jiri Lebl - Levi-flat hypersurfaces with real analytic boundary
• Laszlo Lempert - Holomorphic Banach bundles over compact manifolds
• Sophia Vassiliadou - L²-cohomology of some complex spaces with singularities

Error Control Codes, Information Theory and Applied Cryptography    [PDF]

• Tim Alderson - Maximal Projective Codes
• Elwyn Berlekamp - History of Long Block Codes
• Richard Blahut - Source Coding in Information Theory
• Keldon Drudge - Existence and non-existence results for "Extremal" line sets in PG(3,q)
• Peter Dukes - Directed complete bipartite graph decompositions and three-state sensor networks
• Vincent Gaudet - Energy Efficient Decoding Using Analog VLSI Techniques
• Martin Hassner - Self-Replicating Trellis Graphs
• Olof Heden - A tree of perfect codes
• Peter Lisonek - Steganography with linear codes
• Jim McQuillan - Codes and Hyperovals
• Michele Mosca - Self-testing Quantum Apparatus
• Aidan Roy - Highly nonlinear functions in terms of codes, graphs, and designs
• Christian Schlegel - Generalized Modulation and Iterative Demodulation
• Claude Tardif - A dualistic approach to graph colouring
• Dmitry Trukhachev - Analyzing Capacity of Ad-hoc Wireless Networks

Graph Theory    [PDF]

• Rick Brewster - The Restricted Homomorphism Problem
• Andrea Burgess - Closed trail decompositions of complete equipartite graphs
• Steve Butler - Eigenvalues of 2-edge-coverings
• Sebastian Cioaba - Eigenvalues of Graphs
• Randy Elzinga - The Isotropic Bound on the Independence Number
• Steve Kirkland - Laplacian integral graphs of maximum degree 3
• Cynthia Loten - Holes and Chordal Graphs
• Odile Marcotte - On the relationship between graph colouring invariants and their fractional counterparts
• Dan McQuillan - Magic Labeling of 2-regular graphs
• Karen Meagher - Using algebraic graph theory to solve problems in design theory
• Wendy Myrvold - Finding Independent Sets of a Graph
• Hamed Shirazi - Equiangular lines and abelian covers of complete graphs
• Claude Tardif - Hedentiemi's conjecture, 40 years later

History and Philosophy of Mathematics    [PDF]

• Tom Archibald - Formulas, Concepts, and the "Jacobi Limit" in the 19th C.
• John Bell - On the Indecomposability of the Continuum
• David Bellhouse - Eighteenth Century English Life Annuities: Calculations and Applications
• James Robert Brown - Mathematical Explanation
• Robert Dawson - Your Name Here: The Scandalous Evolution of Bryce's Commercial Arithmetic
• David DeVidi - Pluralisms, Mathematical and Logical
• Jackie Feke - Ptolemy's Mathematical Realism
• Alexander Jones - The Crime of Vettius Valens
• Deborah Kent - Mathematicians in search of war work, 1917-1918
• Zoë Misiewicz - Greek Geometers on Geometry
• Glen van Brummelen - A Different Sort of Sacred Geometry: The Medieval Analemma for Finding the Direction of Mecca

Homotopy Theory    [PDF]

• Kristine Bauer - Spectral sequences of operad algebras
• Julia Bergner - Homotopy fiber products of homotopy theories
• Sunil Chebolu A - A new perspective on groups with periodic cohomology
• Sunil Chebolu B - Towards a refinement of the Bloch-Kato conjecture
• Dan Christensen - The generating hypothesis in the stable module category
• Veronique Godin - Recent/future advances in string topology
• Izak Grugric - Equivariant geometric bordism
• Dan Isaksen - Motivic Ext computations
• Rick Jardine - Parabolic groupoids
• Brenda Johnson - Algebraic Goodwillie Calculus Revisited
• Keith Johnson - Abel Formal Group Laws and Cohomology
• Jack Morava - Motives of spaces
• Hugo Rodriguez Ordonez - A counterexample to Ganea's conjecture with minimum dimension
• Paul Pearson - Homology of topological modular forms
• Kate Ponto - Fixed point theory and trace for bicategories
• Dorette Pronk - Orbifold Translation Groupoids
• Laura Scull - Orbifolds and Equivariant Homotopy
• Don Stanley
• Enrique Torres - Commuting Elements and Group Cohomology
• Tian Yang - A BV structure on the Hochschild cohomology of truncated polynomials
• Peter Zvengrowski - Cohomology Rings of Finite Fundamental Groups of 3-Manifolds

Iwasawa Theory    [PDF]

• Mahesh Agarwal - p-adic L-functions for GSp(4) ×GL(2)
• Ben Howard - Intersection theory on Shimura surfaces
• Adrian Iovita - A Jacquet-Langlands correspondence for p-adic families of modular
• Jennifer Johnson-Leung - The equivariant main conjecture of Iwasawa theory for imaginary quadratic fields
• Byoung-du Kim - Iwasawa theory for supersingular primes and the parity conjecture
• Kumar Murty - Growth of Selmer ranks of Abelian varieties with complex multiplication
• Jeehoon Park - The Eisenstein-Siegel cocycles and p-adic zeta functions of real quadratic fields
• Al Weiss - Congruences between pseudomeasures and Iwasawa theory
• Bei Zhang - Nonvanishing mod p of Eisenstein series

Mathematical Applications of Category Theory    [PDF]

• Bernard Badzioch - Categorical algebra of mapping spaces
• Michael Barr - A *-autonomous category of topological abelian groups
• John Bell - The Axiom of Choice and the Law of Excluded Middle
• Marta Bunge - Fundamental Pushout Toposes
• Robin Cockett - On the semantics of reversible computation
• Jonathon Funk - The universal locally constant covering of an inverse semigroup
• Gabor Lukacs - Categorical Methods in Topological Groups
• Ernie Manes - Relational Models Revisited
• Matias Menni - Abstract properties of monads arising in combinatorics
• Susan Niefield - Lax Presheaves and Exponentiability
• Open Discussion - Trends and Problems in Category Theory
• Robert Pare - Kan extensions for double categories
• Dorette Pronk - Homotopy Theory for Double Categories
• Bob Rosebrugh - Database views, lenses and monads
• Myles Tierney - The homotopy factorisation system of n-connected maps and n-covers
• Richard Wood - Frobenius objects in general cartesian bicategories

Mathematical Imagination    [PDF]

• Robert Bilinski - Realism as a source of mathematical imagination
• Calculus: The Musical - Sadie Bowman & Mark Gutman
• Stewart Craven - Creating Sculptures to Explore Mathematics
• William Higginson - The Mathematics of Paper Folding
• John Kezys - Geometry from the Renaissance Artist's Eye
• Donna Kotsopoulos and Michelle Cordy - Seeing And Squinting: Occasioning Imagination In Mathematics Learning
• Math Imagination Musical Performance - Daryn Bee, Jenna Bee, George Gadanidis, and friends
• Math-e-Motion - Stewart Craven
• Panel Discussion - Mathematical Imagination

Mathematics of Finance    [PDF]

• Alex Badescu - Risk neutral measures for GARCH option pricing with normal variance-mean mixture examples
• Dave Bolder - Simple Joint Macroeconomic and Term-Structure Models
• Abel Cadenillas - Optimal Dividend Policy When There Are Business Cycles
• Joe Campolieti - Closed-Form Spectral Expansions for First-Passage Time Densities, Lookback and Barrier Options under New Families of Diffusions
• Matt Davison - A model of contagion in the P&C Insurance industry
• Keldon Drudge - Measuring gap risk for CPPI strategies: implied and otherwise
• Marcos Escobar-Anel - Stochastic Correlation in the Valuation of Low-Dimensional Derivative Contracts
• Matheus Grasselli - Insurance products in markets with stochastic volatility
• Jeremy Graveline - Exchange Rate Volatility and the Forward Premium Anomaly
• Tom Hurd - First passage problems for jump diffusions arising in finance
• Cody Hyndman - Forward-backward stochastic differential equations and term structure derivatives
• Sebastian Jaimungal - From Spot to Forward Stochastic Volatility Models for Commodities
• Madhu Kalimipalli - Information Content of Equity Volatility for Default and Liquidity Risks in Corporate Bond Market
• Valery Kholodnyi - The Semilinear Evolution Equation for American Contingent Claims: Successive Approximations and Bounds
• Adam Kolkiewicz - Estimation for Diffusion Processes Using Reverse-Time Specifications
• Hua Li - Pricing and hedging European Options with uncertain parameters
• Roman Makarov - Analysis and Classification of Nonlinear Diffusion Financial Models
• Marianito Rodrigo - A new representation of the local volatility surface
• Dave Saunders - Risk Contributions of Systematic Factors in Multi-Factor Credit Risk Models
• Luis Seco
• Anatoliy Swishchuk - Pricing Variance Swaps for Stochastic Volatilities with Delay and Jumps
• Ken Vetzal - Earnings Volatility and Corporate Bond Spreads
• Xikui Wang - Sequential optimization under uncertainty

Non-Commutative Geometry    [PDF]

• Paul Baum - Geometric structure in the representation theory of p-adic groups
• Katia Consani - Motives and Noncommutative Geometry
• George Elliott - A canonical form for the Pimsner-Voiculescu embedding
• Heath Emerson - Equivariant correspondences and applications
• Sasha Gorokhovsky - Algebraic index theorem for Fourier integral operators
• Li Guo - Differential Algebraic Birkhoff Decomposition and the renormalization of multiple zeta values
• Piotr Hajac - Yetter-Drinfeld Structures Revisited
• Jerry Kaminker - Matrix integrals and von Neumann algebras of compact groups
• Marcelo Laca - Hecke algebras from groups acting on trees
• Hanfeng Li - Smooth algebras
• Snigdhayan Mahanta - DG categories in noncommutative geometry
• John Phillips - APS Boundary Conditions, KK-Theory and Cuntz-Krieger Systems
• Raphael Ponge - Noncommutative geometry and lower dimensional volumes in Riemannian geometry
• John Roe - The analytic surgery sequence and eta invariants
• Claude Schochet - C^*-algebras, gauge groups, and rational homotopy
• Xiang Tang - Characteristic classes for trivialized flat U_n bundle

Nonlinear Wave Equations and Applications    [PDF]

• Stephen Anco - Symmetry analysis of nonlinear wave equations in n > 1 dimensions
• Oliver Diaz-Espinosa - Long wave expansions for water waves over random bottom
• Clement Gallo - Transverse instability for the dark solitons of the cubic defocusing NLS equation
• Jiansheng Geng - Invariant Tori of Full Dimension for a Nonlinear Schrödinger Equation
• Philippe Guyenne - Hamiltonian formulation and long wave models for internal waves
• Konstantin Khanin - Localization and pinning for directed polymers
• David Lannes - The Camassa-Holm and Degasperis-Procesi equations and water waves
• Jeremy Quastel - Wiener meets Kortweg and deVries

Quantum Information Theory in Quantum Gravity    [PDF]

• Cedric Beny - Decoherence, broadcasting and the emergence of phase-space
• Louis Kauffman - q-Deformed Spin Networks and Topological Quantum Computation
• Achim Kempf - On an information theoretic ultraviolet cutoff in curved space
• Robert Martin - Towards sampling theory on spacetime

Contributed Papers    [PDF]

• Amal Amleh - On Second-Order Rational Difference Equations
• Michael Cavers - Reducible inertially arbitrary matrix patterns
• Virginie Charette - Affine deformations of the holonomy group of a three-holed sphere
• Alexei F. Cheviakov - Construction and Applications of Nonlocally Related Systems of Partial Differential Equations
• Franklin Mendivil - Annealing a GA for Constrained Optimization
• Paul Potgieter - Large fluctuations of complex oscillations
• Freydoon Rahbarnia - Knots, Projections and Graphs
• Yongjun Xing - On the Spread of Real Symmetric Matrices with Entries in an Interval