Abstracts

Below is a list of PRIMA 2009 abstracts. Click on the speaker's name to view the abstract. The list is not yet complete.

Up to date lists of Plenary and Special Sessions speakers are available on the PRIMA 2009 website.

Plenary Speakers

Myles R. Allen Impact of cumulative emissions of carbon dioxide: the trillionth tonne
Federico Ardila Linearity in the tropics
Kenji Fukaya Lagrangian Floer homology and mirror symmetry
Nassif Ghoussoub On fourth order PDEs modeling electrostatic Micro-ElectroMechanical Systems
Seok-Jin Kang Perfect crystals for quantum affine algebras and combinatorics of Young walls
Yujiro Kawamata Categorical crepant resolutions of simple singularities
Shige Peng Law of large number and central limit theorem under uncertainty, the related new Ito's calculus and applications to risk measures
Linda Petzold Discrete stochastic simulation of spatially inhomogeneous biochemical systems
Cheryl E. Praeger Regular permutation groups and Cayley graphs
Stanislav Smirnov Conformal invariance and universality in the 2D Ising model
Gang Tian Geometry and analysis of low dimensional manifolds
Gunther Uhlmann Cloaking and transformation optics

Algebraic Geometry

Izzet Coskun The geometry of homogeneous varieties
Shu Kawaguchi The elliptic J-function and the Borcherds Phi-function
Masayuki Kawakita Towards boundedness of minimal log discrepancies
Sándor Kovács Log canonical implies Du Bois
Yongnam Lee Construction of surfaces of general type via Q-Gorenstein smoothings
Yoshinori Namikawa Symplectic varieties and Poisson deformations
Mihnea Popa Bernstein-Gel'fand-Gel'fand correspondence and the cohomology of compact Kaehler manifolds
Justin Sawon Holomorphic coisotropic reduction
Tomohide Terasoma Motivic relative completion
De-Qi Zhang Rationality of rationally connected varieties with endomorphisms

Commutative Algebra

Hailong Dao Homological properties of modules over complete intersections
Alicia Dickenstein Implicitization of rational (hyper)surfaces
David Eisenbud Interesting sets of deformations
Shiro Goto Cohen-Macaulayness versus vanishing of e_Q¹(A)
Kazuhiko Kurano Nagata conjecture and the symbolic Rees rings of space monomial curves
Gennady Lyubeznik A property of the ring of polynomials over a perfect field of characteristic p > 0
Diane Maclagan The T-graph of the Hilbert scheme of points
Amnon Neeman Brown representability via flat modules
Sonja Petrović Cut ideals of ring graphs: a family of surprisingly nice toric ideals
Anurag K. Singh A computation of local cohomology
Gregory G. Smith Eulerian numbers and Laurent polynomials
Ryo Takahashi Thick subcategories of stable categories of Cohen-Macaulay modules
Mauricio Velasco Two results on the Cox rings of rational varieties
Kei-ichi Watanabe The a invariants of normal graded Gorenstein rings and varieties with even canonical class
Jerzy Weyman Some results on syzygies of Plucker and Veronese ideals
Kohji Yanagawa Dualizing complex of a toric face ring
Ken-ichi Yoshida On Cowsik-Nori theorem for Stanley-Reisner ideals and edge ideals

Computational Algebra

Peter Brooksbank Intersections of classical groups
Nils Bruin Deciding the existence of rational points on curves
Marston Conder Some unexpected theoretical consequences of computations involving groups
David Eisenbud The worst fibers of a finite morphism
Claus Fieker Computation of Galois groups and applications: degree 24 and more
Volker Gebhardt The conjugacy problem in braid groups and Garside groups
Alex Ghitza Enumerating Galois representations (mod p)
Hoon Hong Connectivity in semi-algebraic sets
Masanari Kida Constructing metacyclic extensions
Masayuki Noro Algorithms for computing b-functions and their efficient implementation
Tateaki Sasaki Series expansion of multivariate algebraic functions at singular points
Takakazu Satoh Simple but not absolutely simple Jacobians in cryptography
Eric Schost Computing roadmaps of compact smooth hypersurfaces
Gregory G. Smith Computations on toric varieties
Allan Steel Computing Groebner bases in general algebras via linear algebra
Bill Unger New algorithms for character tables and Schur indices based on Brauer/Witt theorems

Dynamical Systems

Chris Bose Intermittent baker's maps
Maria Isabel Cortez Choquet simplices as the set of invariant probability measures of a postcritical set
Michael Dellnitz Set oriented numerical methods in space mission design
Laura DeMarco Polynomial dynamics and combinatorial invariants
Mark Demers Billiards with holes
Alexander Fish Sumset phenomenon in countable amenable groups
Jane Hawkins Stochastic and deterministic cellular automata: theory and an application
Michael Hochman Non-expansive directions for Z² actions
Jan Kiwi Complex quadratic rational maps and Puiseux series dynamics
Simon Lloyd Isolated Lyapunov spectrum for Perron-Frobenius cocycles
Eugen Mihailescu Equilibrium states on repellors for endomorphisms
Rua Murray Ulam's method without a spectral gap
Kyewon Park Complexity of non chaotic systems
Ronnie Pavlov Estimating the entropy of a Z² shift of finite type with probabilistic methods
David Ralston On the frequency of balanced times in cylinder flows
John A. G. Roberts Aspects of planar mappings that preserve biquadratic curves
Pablo Shmerkin The dimension of projections via local entropy averages

Geometric Analysis

Emma Carberry Almost-complex tori in the 6-sphere
Albert Chau Lagrangian mean curvature flow for entire Lipschitz graphs
Min-Chun Hong Global existence for the Seiberg-Witten flow
Jun-Muk Hwang Injectivity radius and gonality of a compact Riemann surface
Masashi Ishida The Ricci flow and exotic smooth structures in dimension four
Toshiki Mabuchi Stability and extremal metrics for projective bundles
Daniel Pollack Initial data for vacuum spacetimes with a positive cosmological constant
Sumio Yamada On a new symmetric structure of moduli spaces of Riemann surfaces
Xiao Zhang Positive mass theorems for asymptotically de Sitter spacetimes

Industrial Applications of Mathematics

Philip Broadbridge Nonlinear boundary value problems for porous media and metal surface evolution: use of canonical coordinates of an approximate symmetry
Carl Chiarella The evaluation of American compound option prices under stochastic volatility
Gary W. Delaney Understanding dense granular packings and their applications
Itai Einav Confined comminution: discrete models and breakage mechanics
Alison Ord Gold in, gold out: mathematics for exploration and mining
Ngamta Thamwattana Mathematical modelling in nanotechnology
D. Walker A complex network approach to dense granular rheology
Jieren Wang Pairs trading with robust correlation

Inverse Problems

Gang Bao Stability and reconstruction for inverse problems in electromagnetic wave propagation
Eric Chung A new phase space method for recovering index of refraction from travel times
Colin Fox Models for modelling error
Hao Gao Sparse recovery in optical imaging
Maarten V. de Hoop Seismic imaging, illumination and partial reconstruction: a `curvelet' transform perspective
Hyeonbae Kang Optimization algorithm for reconstructing interface changes of an inclusion from modal measurements
Arnold D. Kim Reflectance optical tomography in layered tissues
Graeme Milton Minimization variational principles for acoustics, elastodynamics, and electromagnetism with applications to tomography
Gen Nakamura Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators
Nicolae-Alexandru P. Nicorovici Cloaking by anomalous localized resonance
Axel Osses Stability in recovering nonlinear parameters for the bistable reaction-diffusion equation using Carleman inequalities
Mikko Salo The Calderón problem in anisotropic media
Hart Smith On the evolution of curvelets under the wave equation
Plamen Stefanov Thermoacoustic tomography with variable sound speed
Luchezar Stoyanov Scattering resonances for several small convex bodies and the Lax-Phillips conjecture
Andras Vasy The wave equation on differential forms on manifolds with corners
Jenn-Nan Wang Reconstruction of a penetrable object in acoustics

Mathematics of Climate Change

Charles D. Camp Pattern detection in multivariate climatic time series: detecting the influence of solar variability on the Earth's atmosphere
Jinqiao Duan Data-driven quantification of uncertainty in water vapor dynamics
Wansuo Duan Conditional nonlinear optimal perturbation and its application to the studies of ENSO predictability
Christian Franzke Multi-scale processes and stochastic modeling of the climate system
Gary Froyland Identification and tracking of coherent features in oceanic and atmospheric flows
Kenneth M. Golden Thermal evolution of fluid transport in sea ice
Kiminori Itoh How mathematics can contribute to the issues of climate change?
Jianping Li Trends and interdecadal changes of weather predictability
Adam Monahan The emergence of stochasticity in climate models
Prashant D. Sardeshmukh Using observed Fluctuation-Dissipation relationships to understand multi-scale climate interactions in Tropical regions
Scott A. Sisson Likelihood-based inference for spatial extremes

Mathematical Finance

Robert Elliott Comparison theorems for Backward Stochastic Differential Equations on Markov Chains
Hideo Nagai Down-side risk minimization as large deviation control
Shige Peng Numerical calculations and simulations of G-normal distribution, G-Brownian motion and applications to dynamic risk measures
Eckhard Platen A benchmark approach to quantitative finance
Yeneng Sun Independent random matching
Jaeyoung Sung A general equilibrium model of a multi-firm moral-hazard economy with financial markets: is relative performance evaluation necessary?
Shanjian Tang American put options: a new mathematical framework

Mathematical Physics

Peter Bouwknegt Generalized Geometry, T-duality and 2D sigma models
Peter J. Forrester Inter-relationships between spacing distributions in random matrix theory
Atsuo Kuniba Periodicities of T-systems and Y-systems
Jon Links The BCS model with p+ip pairing symmetry
Vladimir Mangazeev Eight vertex model and Painlevé equations: properties of the eigenvectors
Bruno Nachtergaele Lieb-Robinson bounds for quantum lattice dynamics and applications
B. Nienhuis Critical percolation and qKZ equations
Jacques H. H. Perk Towards a deeper understanding of the integrable chiral Potts model
Gueorgui Raykov The fate of the Landau levels under perturbations of constant sign

Partial Differential Equations

Giles Auchmuty Direct methods and variational principles for evolution equations
Jaeyoung Byeon A variational approach to perturbed nonlinear elliptic problems
Shuxing Chen Classification and stability of Mach configurations
E. N. Dancer Infinitely many bifurcations for nonlinear elliptic equations
Daniel Daners An isoperimetric inequality for the elastically supported membrane
Yihong Du Positive solutions of an elliptic equation with negative exponent: stability and critical power
Min-Chun Hong The heat flow for H-systems on higher dimensional manifolds
Reinhard Illner From kinetic to macroscopic traffic flow models: modeling, analysis, simulation
Tong Li Critical thresholds in hyperbolic relaxation systems
Zhaoli Liu Solutions of elliptic problems with nonlinearities of linear growth
Shanzhong Sun Stability of periodic orbits in celestial mechanics
Leo Tzou The inverse Calderón problem for Schödinger operator on Riemann surfaces
Zhi-Qiang Wang Bifurcation results for a nonlinear Schrödinger system
Chongchun Zeng Dynamic spike solutions to a singular parabolic equation

Scientific Computing

Bob Anderssen Derivative spectroscopy and resolution enhancement of spectra
Rick Beatson Kernel based methods for vector data with correlated components
Jonathan Borwein Integer Relation algorithms: an introduction
Hermann Brunner The numerical solution of Volterra-type integro-differential equations
J. C. Butcher The stability of Padé and generalized Padé approximations
Stuart Hawkins An efficient algorithm for high frequency exterior acoustic scattering in three dimensions
Frank de Hoog Differentiation of matrix functionals
Frances Y. Kuo High dimensional challenges for scientific computing
William McLean Time discretization of a fractional diffusion equation via Laplace transformation
Dirk Nuyens To periodize or not to periodize
James A. Sethian Advances in advancing interfaces: efficient algorithms for inkjet plotters, semiconductors, medical scanners, and seismic imaging
Ian Sloan Flow through a porous medium as a high-dimensional problem
Jiachang Sun Four-direction Fourier integration and B-forms of 3-D B-splines
Thanh Tran Solutions to pseudodifferential equations on a sphere using spherical splines
Ian Turner The role of Krylov subspace methods in modelling flow in porous media

Stringy Topology

Alejandro Adem Commuting elements and simplicial spaces of homomorphisms
Bohui Chen Ruan conjecture on singular flops
Huijun Fan Quantum ring of the singularity X^p+XY^q
Soren Galatius Monoids of moduli spaces of manifolds
Veronique Godin A string topology invariant of submanifolds and rational models
Jose Manuel Gomez Stable decompositions and almost commuting elements
Martin Guest Orbifold quantum differential equations
Dan Kneezel On completions of Verlinde rings
Marc Krawitz FJRW-ring and mirror symmetry of singularities
Rongmin Lu Loop spaces and gamma genera
Ernesto Lupercio Non-compact Frobenius algebras and Orbifolds
Paul Norbury Counting lattice points in the moduli space of curves
Mathai Varghese T-duality, dimension reduction and loop group bundles
Craig Westerland Stabilization of Hurwitz spaces
Jian Zhou Crepant Resolution Conjecture in all genera for type A surface singularities

Symplectic Geometry

Cheol-Hyun Cho On the homotopy cyclic A-infinity algebras
Ko Honda Sutures and contact homology
Yiming Long Multiple closed geodesics on spheres
Leonardo Macarini Symplectic homology of stable Morse-Bott hypersurfaces
Kaoru Ono Floer thoery for Lagrangian submanifolds
Brett Parker The exploded category, holomorphic curves and tropical geometry
Leonid Polterovich Rigidity of quasi-linear functions in symplectic geometry
Masaki Tsukamoto The geometry of the moduli space of Brody curves

Contributed Papers

Alvaro Alvarez-Parrilla Pullbacks of complex analytic vector fields: Newton vector fields
Burzin Bhavnagri Representational consistency: a paradox of simultaneous representation of numbers
Christina Burt Exact models for k-connected minimum energy networks
Utesh Chand Flocking in constrained environment: lane merging maneuvers
Wen-Haw Chen Polyhedral manifolds with lower combinatorial curvature bounds
Alina Chertock A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
Seng-Kee Chua Weighted Poincaré inequalities on symmetric convex domains
Samuel Cohen A general theory of Backward Stochastic Difference Equations
Diana Combe Bhaskar Rao designs and the Hall-Paige conjecture
Raman Kumar Das Location of approximations in the context of Prasad’s Markoff-like chain
Jason Doukas Interacting self avoiding trails on a triangular lattice
Tim Garoni Worm algorithms
Anna R. Ghazaryan Nonlinear convective stability of traveling fronts near Turing and Hopf instabilities
Richard Green Harmonic differential characters
Ruth Haas The combinatorics of involutions and twisted involutions in Weyl groups
Yousaf Habib Experiments with G-symplectic methods
Aloysius Helminck Computing in symmetric spaces
Anthony Henderson Enhancing the nilpotent cone
Gerasim Iliev Modeling semiflexible polymer adsorption
Hiroyuki Ito Equisingular loci of simple singularities in positive characteristic
Iwan Jensen Factorization of linear ODEs using modular arithmetic
Boda Kang Modelling and estimating the forward price curve in the energy market
Eder Kikianty On new notions of orthogonality via integral means in normed spaces
Bong-Sik Kim Fractal dimensions of attractors for fast rotating Lagrangian-averaged Navier-Stokes Alpha-regularized equations
Alexander Kurganov New models of chemotaxis: analysis and numerics
Maria Leite Bifurcations from quotient coupled cell systems
Huiyuan Li Discrete Fourier transform for A_d lattice and its applications to Gaussian cubature and interpolation in high dimension
Irakli Loladze Dynamical, evolutionary and molecular origins of redfield ratio N:P=16
Vahagn Manukian Traveling waves for a thin liquid film with surfactant on an inclined plane
Erin Martin Evolution of graphs in Carnot groups by horizontal Gauss curvature
Maya Mincheva Oscillations and multistability in (bio)chemical reaction networks
Sing-Cheong Ong Dixmier's singular functional decomposition theorem on matrices over a C^*-algebra
Wilson Ong Splitting rigid graphs
Piotr Oprocha Weak mixing and product recurrence
Melanie Joyno Orig College mathematical readiness of the senior high school students in the public schools of District I in Davao City
Rui Peng Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
Sarah Post Models of quadratic algebras generated by second order superintegrable systems
Avinesh Prasad Establishment and translation of a rigid formation within a collision-avoidance scheme
K. C. Prasad Diophantine approximation of irrational numbers of a Perron’s class
Hasih Pratiwi Survival probability in surplus process
Kyle Pula Products of all elements in a loop, complete mappings, and the Hall-Paige conjecture
Louise A. Raphael Statistical learning methods for uniform approximation bounds in multiresolution spaces
Peter Renaud On the interpretation of spin 1/2 Dirac particles in Clifford algebras
Natsuo Saito Calabi-Yau 3-folds arising from fiber products of quasi-elliptic surfaces
Naratip Santitissadeekorn Numerical computations of atmospheric coherent sets in the Southern Hemisphere
Bibhya Sharma Tunnel passing maneuvers of multi-agents in formation
Idha Sihwaningrum Stummel-Kato class and the generalized Morrey spaces with growth measures
Anna Skripka Spectral shift functions
Michael Small Complex networks as a tool to study chaotic dynamical systems
Paul D. Smith Diffraction from open and closed bodies of revolution: analytical regularisation
Ognjen Stancevic Conditionally invariant measures and sets with low escape rates
Melissa Tacy Submanifold L^p estimates for eigenfunctions of a differential operator
Rachael Tappenden A Barzilai-Borwein algorithm for signal reconstruction
Dimetre Triadis Infiltration in the nonlinear limit
Razvan Micu Tudoran On a generic class of 3d Hamiltonian systems
Raymond Vozzo String structures and characteristic classes for loop group bundles
Anthony Weston Notes on classical and strict negative type
Siew Fang Woon Optimizing hybrid power system with discrete filled function method
Semail Ulgen Yildirim Modified Bellissard algebra