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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 [
**C**^{3}/**Z**_{3}] - 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 f
^{4}-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
**C**5 - 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 -
*L*^{2}-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