Jan,2016

1

**Camillo De Lellis:**The Nash-Kuiper theorem and a conjecture of Onsager**Björn Engquist:**Seismic imaging and the Monge–Ampère equation**Stanley Osher:**Overcoming the curse of dimensionality for certain Hamilton-Jacobi (HJ)equations arising in control theory and elsewhere**Yuri Tschinkel:**Rationality problems**Edward Witten:**A new look at integrable lattice models**Horng-Tzer Yau:**Spectral statistics of random graphs**Zhiwei Yun:**Intersection numbers and higher derivatives of L-functions for function fields

**Wei Zhang:**RTF and L-functions**Kai-Wen Lan:**Cohomology of automorphic bundles**Xinyi Yuan:**On Faltings heights of CM abelian varieties**Jing Yu:**On Linear Independence of Logarithms**Xuhua He:**Cocenter of Hecke algebras**Jiu-Kang Yu:**A GAGA theorem for p-adic groups**Jianya Liu:**Manin's conjecture for a class of singular cubic hypersurfaces**Lei Fu:**Rigidity of $\ell$-adic Sheaves**Si Li:**Open-closed topological string on Calabi-Yau manifolds

**Jun Li:**Toward high genus GW invariants of quintic threefolds**Kefeng Liu:**On the images of period maps**Naichung Conan Leung:**ADE bundles over surfaces**Mu-Tao Wang:**Energy-momentum, angular momentum, and center of mass in general relativity**Lizhen Ji:**The geometry and compactification of moduli spaces and locally symmetric spaces**Hongwei Xu:**New developments in mean curvature flow of arbitrary codimension inspired by Yau rigidity theory of submanifolds**Jeng-Daw Yu:**Progress in irregular Hodge structures**Xiuxiong Chen:**A recent update on Kaehler geometry**Hsian-Hua Tseng:**On the geometry of orbifold Gromov-Witten invariants

**Lexing Ying:**Tensor network skeletonization**Changshou Lin:**Multiple Green function, Mean field equation and Lame equation**Xiao-Ping Wang:**A study of speed dependent contact angle hysteresis**Hongkai Zhao:**Approximate separability of Green’s function and intrinsic complexity of differential operators**Qiang Du:**Localization of Nonlocal Continuum Models**Raymond Honfu Chan:**Point-spread function reconstruction in ground-based astronomy**I-Liang Chern:**Ground State Patterns and Phase Transitions of of Spin-1 Bose-Einstein Condensates, Numerics and Analysis**Zhiwei Yun:**Intersection numbers and higher derivatives of L-functions for function fields, part II**Pin Yu:**The nonlinear stability of Alfven waves

**Jianqing Fan:**Robust Low-Rank Matrix Recovery**David Cai:**The role of mathematics in neuroscience**Zhouping Xin:**On Multi-Dimensional Compressible Navier-Stokes Systems**Samuel Kou:**Big data, Google and disease detection: the statistical story**Jun Yin:**Universality and delocalization of band matrices**Xiangyu Zhou:**Recent progress on optimal $L^2$ extension and multiplier ideal sheaves**Ping Zhang:**Global regularities of two-dimensional density patch for inhomogeneous incompressible viscous flow with general density**Xianfeng David Gu:**Computational Conformal Geometry, Theories, Algorithms and Applications**Hao Xu:**Explicit formula of asymptotic coefficients of heat kernel

**Fan Qin:**Cluster algebras and monoidal categorification**Fang Li:**Positivity of acyclic sign-skew-symmetric cluster algebras via unfolding method and some related topics**Cheng-Chiang Tsai:**An attempt for affine Springer theory**Li Cai:**The Gross-Zagier formula: arithmetic applications**Ming-Hsuan Kang:**Geometric zeta functions on reductive groups over non-archimedean local fields**Huanchen Bao:**Canonical bases arising from quantum symmetric pairs**Peng Shan:**Categorification of coideal algebras**Qiang Fu:**Quantum affine $\frak{gl}_n$ via Hecke algebras**Chaoping Xing:**Subspace design from algebraic curves over finite fields**Han Wu:**Period Method and Subconvexity Problem**Jiajun Ma:**Theta correspondence and Moment maps**Jie Wu:**Quadratic polynomials at prime arguments

**Ziyang Gao:**Bi-algebraic system on the universal vectorial extension and Ax type transcendence results**Xin Wan:**New developments of Iwasawa theory**Binyong Sun:**Basic theorems and some problems in local theta correspondence**Hang Xue:**Approximating smooth transfer in Jacquet--Rallis relative trace formulas**Fu Liu:**A combinatorial analysis of Severi degree**Yichao Tian:**Supersingular locus of Hilbert modular varieties and arithmetic applications**Xu Shen:**Geometric structures of perfectoid Shimura varieties**Miaofen Chen:**A decomposition of affine Deligne-Lusztig varieties**Yifeng Liu:**Recent progress on Bloch-Kato conjecture**Weizhe Zheng:**Companions on Artin stacks**Tong Liu:**Potentially GL(2)-type Galois representations associated to noncongruence modular forms**Zhengyu Mao:**Whittaker Fourier coefficient of cusp forms

**Kai-Seng Chou:**TBA**Junyi Xie:**Algebraic actions of discrete groups: the p-adic method**Changzheng Li:**On the Conjecture O for G/P**Yu Qiu:**Stability conditions and quivers**Mao Sheng:**A $p$-adic Hitchin-Simpson correspondence for algebraic fundamental groups**Mingmin Shen:**The rationality problem and the integral Hodge conjecture**Siu-Cheong Lau:**Generalized SYZ mirror symmetry**Ting Xue:**The Springer correspondence for symmetric spaces and Hessenberg varieties**Tong Zhang:**Geography of irregular varieties of general type**Tony Yue Yu:**Counting open curves via closed curves**Tsao-Hsien Chen:**Quantization in positive characteristic and Langlands duality**Yi Zhang:**Some results on Viehweg's weak positivity

**Bing Wang:**On the K\"ahler Ricci flow**Bing-Long Chen:**On stationary solutions to the Einstein field equations**Frederick Tsz-Ho Fong:**Some Variational Aspects of the Kahler-Ricci Flow**Juan-Ru Gu:**The topological theorem for odd dimensional compact submanifolds with pinched Ricci curvature**Gang Liu:**Gromov-Hausdorff limits of Kahler manifolds and the finite generation conjecture**Zhongtao Wu:**Concordance invariants from knot Floer homology**Lu Wang:**Hypersurfaces of Low Entropy**Martin Man-chun Li:**Recent advances on free boundary minimal submanifolds**Qin Li:**Deformation quantization, algebraic index and geometric quantization**Willie Wai Yeung Wong:**Time-like minimal submanifolds of Minkowski spaces**Xiangyu Liang:**An example of proving Almgren’s minimality by product of paired calibrations**Xiaokui Yang:**Hyperbolicity, non-positive curvature and the canonical bundle

**Kwokwai Chan:**The open mirror theorem revisited**Jie Zhou:**Modular forms in Gromov-Witten theory**Jonathan Winghong Luk:**Large data dispersive spacetimes in general relativity**Zhigang Ji:**How the Knowledge of Geometry Affected China: Text Translation, Knowledge Transmission and Social Transformation of Jihe Yuanben**Po-Ning Chen:**Quasi-local energy in presence of gravitational radiations.**Siqi Liu:**The Bihamiltonian Aspect of Dubrovin-Zhang Theory**Yisong Yang:**Solutions of Friedmann's Equations and Cosmological Consequences**Yu-Shen Lin:**On the Refined Open Gromov-Witten Invariants on K3 Surfaces**Zhengyu Zong:**Some applications of the Remodeling Conjecture**Fusheng Deng:**Levi's problem, convexity, and squeezing function of bounded domains**Yuan Yuan:**Holomorphic isometries between bounded symmetric domains**Jun Zhang:**Kahler and Para-Kahler Structure in Information Geometry

**Hongchao Zhang:**A revisit of nonlinear conjugate gradient method**Jiawang Nie:**Polynomial optimization and tensor computation**Jinyan Fan:**Recent advances in numerical methods for nonlinear equations**Yang Wang:**Fractal Measures with Fourier Bases and Frames**Jun Yan:**Variational Principle for Contact Hamiltonian Systems**Jung-Chao Ban:**Entropy of tree shifts of finite type**Lin Wang:**Large time behavior of viscosity solutions of Hamilton-Jacobi equations depending on unknown functions**Weixiao Shen:**TBA**Yanhui Qu:**Fiber of Gibbs measure and density of states of Sturm Hamiltonian**Ziming Nikolas Ma:**Witten Morse theory and SYZ Mirror Symmetry**Dejun Feng:**Dimension of invariant measures for affine iterated function systems**Kunyu Guo:**Geometric analysis of analytic Toeplitz operators

**Xiaoman Chen:**Coarse embeddings and Coarse Baum-Connes Conjecture**Chongchun Zeng:**Instability, index theorems, and exponential dichotomy of Hamiltonian PDEs**Hongjie Dong:**Schauder estimates for fully nonlinear nonlocal parabolic equations**Huihui Zeng:**Global Solutions to the Gas-Vacuum interface Problem of Compressible Euler Equations with Physical Singularity**Jiahong Wu:**The 2D Boussinesq equations with partial or fractional dissipation**Lihe Wang:**Rigidity theory from geometric capacity**Lingbing He:**Sharp bounds for Boltzmann and Landau collision operators**Wenjia Jing:**PDEs with oscillatory coefficients: beyond homogenization**Zhen Lei:**Strong Null Condition and Incompressible Fluids**Yunping Jiang:**Geometry of Zero Entropy Dynamical Systems and Number Theory

**Wotao Yin:**A Three-Operator Splitting Scheme and its Applications**Ding-Xuan Zhou:**Mathematical Foundations of Distributed Learning and Online Learning**Jue Yan:**TBA**Yinhua Xia:**Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws and Hamilton-Jacobi equations**Junqing Chen:**Detection and Classification from electromagnetic induction data**Michael Kwok-Po Ng:**Convex and Nonconvex Optimization Models In Image Processing**Ronald Lok Ming Lui:**Recent advances of Computational Quasiconformal Geometry in Imaging, Graphics and Visions**Shidong Jiang:**On the construction and applications of sum-of-exponentials approximations**Wai-Ki Ching:**Markov Chain Models: Computations and Applications**Shing-Yu Leung:**Eulerian Approaches for Visualizing Continuous Dynamical Systems**Xiao-Qing Jin:**Some Problems in Matrix Analysis and Computation**Yang Xiang:**A Continuum Model for Dislocation Dynamics in Three Dimensions

**Bo Li:**Level-Set Variational Implicit-Solvent Modeling of Biomolecular Solvation**Jia-Shun Jin:**Network Membership Estimation by Simplex Vertices Hunting**Douglas Zhou:**Hazards in data analysis of biological experiments**Shen Lin:**The harmonic measure of balls in critical Galton-Watson trees**Song Li:**Some New Advances in Compressed Sensing**Wei Lin:**Finding the role of time delays and randomness in complex systems**Hao Wu:**Arm Exponents for Critical Ising and FK-Ising Model**Harrison Huibin Zhou:**A Review of Some Optimality Results in Network Analysis and Beyond**Hongtu Zhu:**Mathematical Challenges in Analyzing Large-scale Neuorimaging Studies**Liqun Zhang:**TBA**Runze Li:**Tests for High-Dimensional Mean Vectors

**Yu Zhao:**Almost totally complex points on elliptic curves**Sheng Chen:**Weak connectedness of tensor product of digraphs

**Bo Chen:**Chaos and Gliders in hybrid cellular automata rule 146, 156 and 184**Hang Liu:**On K2 of certain families of curves

**Jichun Li:**Mathematical analysis and time-domain finite element modeling of invisibility cloaks with metamaterials**Jian-Zhou Zhang:**Inference on square-norm regularized functional in compressed sensing**Anming Yang:**The predual and John-Nirenberg inequalities on generalized BMO martingale spaces

**Changyu Guo:**The theory of quasiregular mappings in metric spaces**Ka Chun Lam:**Landmark-matching transformation with large deformation via n-dimensional quasi-conformal maps**Shaochuang Huang:**Some properties of Ricci flow with unbounded curvature and their applications

**Yuan-Jen Chiang:**Exponentially harmonic maps, exponential stress energy and stability**Hong Wang:**Focus on the development of Hamiltonian reductions from the researches of Jerrold E. Marsden**Yat Hin Suen:**On the jumping phenomenon of the dimensions of cohomologies

**Yonggui Zhu:**Mathematical representations in patch processing for K-SVD denoising**Pengtao Sun:**Numerical methodologies for fluid-structure interaction problems**Shoudong Man:**Hypergraphs with spectral radius at most $(r-1)!\sqrt[r]{2+\sqrt[5}}$

**Renjun Duan:**Global well-posedness of the Boltzmann equation with large amplitude initial data**Lingju Kong:**Positive radial solutions for quasilinear biharmonic equations**Yong Yu:**Global solution of a simplified Ericksen-Leslie equation with nonzero circulation Reynolds number

**Chunhui Lai:**Some problems on covering of graphs**Zanbo Zhang:**Paths and Cycles in Digraphs and Random Digraphs**Hei-Long Chan:**Hooke’s optimization for 3D triangular mesh

**Huoyuan Duan:**Adaptive FEM for Maxwell interface problem**Linghua Chen:**On the numerical path integration method**Wensheng Zhang:**Full-waveform inversion of elastic wave in the frequency domain