degree in mathematics must have at least a GPA of 2.5 in Calculus I-IV, Linear Algebra and Differential Equations (MA1713,MA1723,MA2733, MA2743, MA3113 and MA3253). Fall and Spring semesters. (Same as ST4243/6243), (Prerequisite:MA4243/6243 and MA3113). Students with a math subscore of 17 or 18 must take this course in the summer or spring terms at MSU, transfer credit from another institution, or test out of the course by taking a departmental test, One hour lecture. Courses in statistics are designed to satisfy two objectives. (Same as ST4523/6523). L'ide de marche alatoire a t introduite (sans le nom) en 1905 par le biostatisticien Karl Pearson pour rendre compte des migrations d'une population de moustiques dans une fort. This course introduces statistical modeling in wide variety of situations, modeling univariate data with an appropriate probability distribution, modeling of bivariate and multivariate data using general linear modeling (regression and design models), modeling binary data through logit link function, modelling categorical data. MA4373 Introduction to Partial Differential Equations: 3 hours. Two hours laboratory. MA8383 Numerical Solution of Ordinary Differential Equations I: 3 hours. ST6111 Seminar in Statistical Packages: 1 hour. Measurements and informal geometry. MA6183 Mathematical Foundations of Machine Learning: 3 hours. Required courses for each degree are listed below. (Prerequisites: C or better in both MA1413 and MA1423). Department of Mathematics University of Southern California : sphere packing 3 2 Three hours lecture. Department of Mathematics DPMMS, Centre for Mathematical Sciences Use of SAS. (Same as MA4523/6523). MA8000 Thesis Research/ Thesis in Mathematics: 1-13 hours. Three hours lecture. (For Elementary and Special Education majors only), (Prerequisites: Math ACT 24 or C or better in MA1103 or MA1313). Customer Service | Emergencies | IT Status (Prerequisites: MA3163 or consent of instructor). 1, 1-21, Ext^1 localement analytique et compatibilit local-global, Semi-simplicity of certain Galois representations occurring in etale cohomology of unitary Shimura varieties, Minimal graphs over Riemannian surfaces and harmonic diffeomorphisms, Cancellation in the Additive Twists of Fourier Coeffcients for GL2 and GL3 over Number Fields, Pushforwards of p-adic differential equations, On the variety associated to the ring of theta constants in genus 3, Endoscopic classification of very cuspidal representations of quasi-split unramified unitary groups, ON THE CURVATURE ESTIMATES FOR HESSIAN EQUATIONS, Loose crystalline lifts and overconvergence of \'etale $(\varphi, \tau)$-modules, Self-improving property of degenerate parabolic equations of porous medium-type, Periodicity and decidability of tilings of $Z^2$, Fundamental gap of convex domains in the spheres (with Appendix by Qi S. Zhang), CENTRAL LIMIT THEOREMS FOR THE REAL ZEROS OF WEYL POLYNOMIALS, Sharp nonexistence results for curvature equations with four singular sources on rectangular tori, Intrinsic Lipschitz graphs and vertical beta-numbers in the Heisenberg group, SOME RESULTS ON REDUCIBILITY OF PARABOLIC INDUCTION FOR CLASSICAL GROUPS, One-cycle sweepout estimates of essential surfaces in closed Riemannian manifolds, Purely log terminal threefolds with non-normal centres in characteristic two, THE GEODESIC X-RAY TRANSFORM WITH MATRIX WEIGHTS, Finite group actions on reductive groups and buildings and tamely-ramified descent in Bruhat-Tits theory, Global center stable manifold for the defocusing energy critical wave equation with potential, Major Arcs and Moments of Arithmetical Sequences, Multiplicity formula and stable trace formula, SPHERICAL CONFIGURATIONS OVER FINITE FIELDS, p-adic generalized hypergeometric equations from the viewpoint of arithmetic D-modules, Quantitative estimates of samplingconstants in model spaces, Quotients of triangulated categories and equivalences of Buchweitz, Orlov and Amiot--Guo--Keller, On the Igusa conjecture in two dimensions, C-Projective Compactification: (quasi-)Kaehler Metrics and CR boundaries, Escobar s Type Theorems for Elliptic Fully Nonlinear Degenerate Equations, Deformation theory of scalar-flat K\"ahler ALE surfaces, Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Mazya inequalities on half spaces, The irreducibility of the primal cohomology of the theta divisor of an abelian fivefold (WAS: The primal cohomology of the theta divisor of an abelian fivefold is simple), Complete translating solitons to the mean curvature flow in $\mathbb{R}^3$ with nonnegative mean curvature, Hyperelliptic Continued Fractions and Generalized Jacobians, Surface group amalgams that (don't) act on 3-manifold, A birational Nevanlinna constant and its consequences, Improvement of flatness for nonlocal phase transitions, Uncountably many quasi-isometry classes of groups of type $FP$, SPECTRAL ANALYSIS OF MORSE-SMALE FLOWS II: RESONANCES AND RESONANT STATES, Sign-changing self-similar solutions of the nonlinear heat equation with poitive initial value, Endpoint Lebesgue estimates for weighted averages on polynomial curves, A geometric analogue of a conjecture of Gross and Reeder, Kuznetsov, Petersson and Weyl on GL(3), I The principal series forms, FINE APPROXIMATION OF CONVEX BODIES BY POLYTOPES, The distribution of Galois orbits of points of small height in toric varieties, Compact singular minimalsurfaces with boundary, Weighted restriction estimates and application to Falconer distance set problem, GENERATION OF HECKE FIELDS BY CYCLOTOMIC MODULAR L-VALUES, The Hermitian curvature flow on manifolds with non-negative Griffiths curvature, VARIATION OF CANONICAL HEIGHT AND EQUIDISTRIBUTION, On the parity of ideal classes over a fixed prime, Orbital exponential sums for prehomogeneous vector spaces, Asymptotic structure of almost eigenfunctions of drift Laplacians on conical ends, The Rankin-Selberg monoid and a nonabelian trace formula, The Khler-Ricci flow, Ricci-flat metrics and collapsing limits, Minimal Surfaces in Finite Volume Hyperbolic 3-Manifolds N and in M x S^1, M a Finite Area Hyperbolic Surface, Topological simplicity of the Cremona groups, Beyond Endoscopy via the trace formula - II Asymptotic expansions of Fourier transforms and bounds towards the Ramanujan conjecture, Convexity of the renormalized volume of hyperbolic 3-manifolds, RESONANCE-FREE REGIONS FOR NEGATIVELY CURVED MANIFOLDS WITH CUSPS, JORDAN PROPERTY FOR NON-LINEAR ALGEBRAIC GROUPS AND PROJECTIVE VARIETIES, A vanishing result for tautological classes on the moduli of K3 surfaces, A sharp inscribed radius estimate for fully nonlinear flows, CONSTRUCTION OF TWO-BUBBLE SOLUTIONS FOR ENERGY-CRITICAL WAVE EQUATIONS, Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture, The classification of Zamolodchikov periodic quivers, A trilinear restriction estimate with sharp dependence on transversality, Resultants and the Borcherds $\Phi$-function, Bounding diameter of singular Kahler metric, Global regularity for the free boundary in the obstacle problem for the fractional Laplacian, Connected components of closed affine Delinge-Lusztig varieties in affine Grassmannians, On the Gross-Keating invariant of a quadratic form over a non-archimedean local field, The Hasse norm principle for abelian extensions, Strong solidity of free Araki-Woods factors, The Spin L-function on GSp_6 via a non-unique model, RESONANCES NEAR THE REAL AXIS FOR MANIFOLDS WITH HYPERBOLIC TRAPPED SETS, Bloch function, asymptotic variance, and geometric zero packing, A POSITIVE PROPORTION OF THUE EQUATIONS FAIL THE INTEGRAL HASSE PRINCIPLE, On a two-phase problem for harmonic measure in general domains, The massive Feynman propagator on asymptoticallyMinkowski spacetimes, Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma, Stabilization of the Cohomology of Thickenings, A Godement-Jacquet type integral andthe metaplectic Shalika model, On noncollapsed almost Ricci-flat 4-manifolds, An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary, Dispersive estimates for Dirac Operators in dimension three with obstructions at threshold energies, Poincare and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds, Random integral matrices and the Cohen-Lenstra Heuristics, RANKIN EISENSTEIN CLASSES FOR MODULAR FORMS, ALMOST SURE SCATTERING FOR THE 4D ENERGY-CRITICAL DEFOCUSING NONLINEAR WAVE EQUATION WITH RADIAL DATA, ON AUTOMORPHIC POINTS IN POLARIZED DEFORMATION RINGS, Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n), Local energy decay for scalar fields on time dependent non-trapping backgrounds, A new approach to unramified descent in Bruhat-Tits theory, The Mach stem equation and amplification in strongly nonlinear geometric optics, Proof of a Conjecture of Batyrev and Nill, Quadratic base change and the analytic continuation of the Asai l-function: a new trace formula approach, The classification of CMC foliations of R^3 and S^3 with countably many singularities, Potential automorphy and the Leopoldt conjecture, On symmetric power L-invariants of Iwahori level Hilbert modular forms, Representations of the alternating group which are irreducible over subgroups. (May be taken for credit more than once). [citation needed]The best known fields A continuation of the topics introduced in MA8113. Three hours lecture. Historique. Review of fundamentals; linear and quadratic equations; inequalities; functions; simultaneous equations; topics in the theory of equations, (Students with credit in MA1713 will not receive credit for this course; Prerequisite: ACT Math subscore 24 (or higher for some sections), or grade of C or better in MA1103 or MA1313). (Credit can not be earned for this course and MA/ST4523/6523). ST8913 Smoothing Methods in Statistics: 3 hours. (Same as MA4243/6243), (Prerequisite:MA/ST4243/6243 and MA3113). MA8313 Ordinary Differential Equations I: 3 hours. Both degrees are 124 hours. All pages in Undergraduate Academic Catalog. (Same as ST4253/6253), (Prerequisites: CSE1233 or equivalent, MA3113, and MA2743). (Prerequisite: MA4543/6543.) Our 1000+ Discrete Mathematics MCQs (Multiple Choice Questions and Answers) focuses on all chapters of Discrete Mathematics covering 100+ topics. Elliptic curve ST8853 Advanced Design of Experiments I: 3 hours. (Prerequisite: MA4373/6373 or consent of instructor). 3400 North Charles Street (Prerequisite: MA2733). Three hours lecture. (Prerequisites: MA4313/6313, MA4323/6323, and MA4373/6373 or consent of instructor). (Same as MA4543/6543). Three hours lecture. ST2113 Introduction to Statistics: 3 hours. MA6943 Mathematical Analysis II: 3 hours. Johns Hopkins University Press. Three hours lecture. Three hours lecture. (Prerequisite: ST8553 or consent of instructor). ST8733 Advanced Statistical Inference I.: 3 hours. (Prerequisite: MACT 17 or 18 and ACT 20 or above). (Prerequisite: MA8913). For all degree programs, including minors, a student must have an overall C average and a C average in the math classes which count toward the degree. (For Elementary and Special Education majors only). - Wikipedia Its expertise covers a broad spectrum of fields ranging from the traditional areas of "pure" mathematics, such as analysis, algebra, geometry, and topology, to applied mathematics areas such as combinatorics, computational biology, fluid dynamics, theoretical computer science, West Lafayette, IN 47907-2067ajm@math.jhu.edu, Vyacheslav Shokurov Published under the auspices of the Johns Hopkins University. B. Shiffman Three hours lecture. Functionals: weak and strong extrema; necessary conditions for extrema; sufficient conditions for extrema; constrained extrema; direct methods; applications, Three hours lecture. Los Angeles, CA 90095-1555, S.-T. Yau Basic principles of linear algebra; vector spaces; matrices; matrix algebra; linear transformations; systems of linear equations; eigenvalues and eigenvectors; orthogonality and Gram-Schmidt process. Berkeley, CA 94720-3840. Three hours lecture. Three hours lecture. Part II: asymptotic behavior of solutions, Erratum to: On the formal arc space of a reductive monoid (AJM 138.1, Feb 2016, 81-108), Asymptotic decomposition for semilinear wave and equivariant wave map equations, The Langlands-Shahidi L-functions for Brylinski-Deligne extensions, On Iwahori-Hecke Algebras for p-adic Loop Groups: Double Coset Basis and Bruhat Order, Kronecker limit formula over global function fields, Microsolutions of differential operators and values of arithmetic Gevrey series, On birational boundedness of Fano fibrations, The Mercat conjecture for stable rank 2 vector bundles on generic curves, Double Pieri algebras and iterated Pieri algebras for the classical groups, The Mabuchi Completion of the Space of Kahler Potentials, SUMS OF TWO SQUARES IN SHORT INTERVALS IN POLYNOMIAL RINGS OVER FINITE FIELDS, Algebraic curves, rich points, and doubly-ruled surfaces, Professor William P. Minicozzi II, Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, Professor Freydoon Shahidi, Department of Mathematics, Purdue University, West Lafayette, IN 47907-2067, Professor Vyacheslav Shokurov, Department of Mathematics, Johns Hopkins University, 3400 North Charles St., Baltimore, MD 21218-2680, Professor Christopher Sogge, Department of Mathematics, Johns Hopkins University, 3400 North Charles St., Baltimore, MD 21218-2680, Academic Search Alumni Edition, 7/1/1996-, Biography Index: Past and Present (H.W. Series; analytic continuation; Riemann surfaces; theory of residues. Find Jobs in Germany: Job Search - Expatica Germany MA8453 Numerical Solution of Partial Differential Equations II: 3 hours. For a paper to be published in theAJM, it must evidence high levels of novelty and depth, and represent a significant advance in Mathematics which could potentially be of interest to the broadest possible readership. Matrix operations; error analysis; norms of vectors and matrices; transformations; matrix functions; numerical solutions of systems of linear equations; stability; matrix inversion; eigen value problems; approximations. Mathematics Anti-differentiation; the definite integral; applications of the definite integral; integration of transcendental functions; other techniques of integration. Massachusetts Institute of Technology University of California Discrete logarithm Solution techniques; existence and uniqueness of solutions to elliptic, parabolic, and hyperbolic equations; Green's functions. Baltimore, MD 21218-2680, S. Klainerman Similarly, a group action on a mathematical structure is a group homomorphism of a group into the automorphism group of the structure. J. Decisions concerning publication of manuscripts in theAJMrest solely with the Editors, and all decisions are final. The Hopkins Press Journals Ethics and Malpractice Statement can be found at the ethics-and-malpractice. Continuation of topics introduced in MA8663, (Prerequisite MA4943/6943 or consent of instructor). In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. Three hours lecture. Basic concepts in the finite difference and finite element methods; methods for parabolic equations; analysis of stability and convergence. Three hours lecture. In probability theory and related fields, a stochastic (/ s t o k s t k /) or random process is a mathematical object usually defined as a family of random variables.Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Discrete Mathematics for the Life Sciences: Read More [+] Hours & Format. (Prerequisite: Grade of C or better in ST3123, or equivalent). MA4990 Special Topics in Mathematics: 1-9 hours. Three hours lecture. Two hours laboratory. The first objective is to provide graduate training for those students wishing to pursue a career as professional statisticians. (Prerequisite: MA8313 and consent of instructor). (Prerequisites: CSE1233 or equivalent. degree programs in Mathematics, subject to appeal to the departments undergraduate coordinator. Highly qualified students with a 3.00 GPA or higher on a 4.00 scale in all undergraduate work with a 3.25 GPA or higher on a 4.00 scale in math/stats courses and a minimum of 60 completed hours of undergraduate work may apply for the accelerated BS/MS degree in Mathematics or Statistics. Three hours lecture. Browse our listings to find jobs in Germany for expats, including jobs for English speakers or those in your native language. Math. Princeton University Breather (Prerequisite: ST4543/6543). MA6933 Mathematical Analysis I: 3 hours. Convex polytope Authors may submit manuscripts via e-mail to any of the editors listed below: Please Note:The editors currently predict a publication waiting time of approximately 16-18 months (assuming only minor revisions, done promptly). MA4943 Mathematical Analysis II: 3 hours. 131, No. ST7000 Directed Individual Study in Statistics: 1-6 hours. First-year seminars explore a diverse arrary of topics that provide students with an opportunity to learn about a specific discipline from skilled faculty members. He was awarded the Godel Prize in Theoretical Computer Science and the Fulkerson Prize in Discrete Mathematics. MA9313 Selected Topics in Ordinary Differential Equations: 3 hours. (Prerequisites: MA4313/6313 and MA4323/6323). Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. (Same as ST2113), (Prerequisite: Grade of C or better in MA1723). Origin and solutions of first and second order differential equations; Laplace Transform methods; applications. Nonlinear dynamical systems, describing changes in variables MA1613 Calculus for Business and Life Sciences I: 3 hours. Three hours lecture. In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O.An elliptic curve is defined over a field K and describes points in K 2, the Cartesian product of K with itself. Wallpaper group The trigonometric functions: identities; trigonometric equations; applications. ST3123 Introduction to Statistical Inference: 3 hours. Three hours lecture. P(xi) = Probability that X = xi = PMF of X = pi. (Prerequisite: MA8643 and consent of instructor). All rights reserved. Amer. This paper addresses the integration of discrete-event dynamics and machining dynamics to achieve cost savings in machining. Department Head: Mohsen Razzaghi Use of SAS. Credit and title to be arranged. 3400 North Charles Street Rank in Category (by Journal Impact Factor): Two hours laboratory. Three hours lecture. Three hours lecture. Two hours laboratory. The exactly solvable sine-Gordon equation and the focusing nonlinear Schrdinger equation are examples of one-dimensional partial differential equations that possess breather solutions. (Prerequisite: MA3253). Three hours lecture. Department of Mathematics Decisions concerning publication of manuscripts in theAmerican Journal of Mathematicsrest solely with the Editors. Probability, law of large numbers, central limit theorem, sampling distributions, confidence intervals, hypothesis testing, linear regression, random processes, correlation functions, frequency and time domain analysis. Review of fundamentals; linear and quadratic equations; inequalities; functions; simultaneous equations; topics in the theory of equations, (Prerequisites: ACT Math Sub-score 19 or above or grade of C or better in MA0103). In addition to the admission requirements for a Master's Degree program, the applicant should submit three recommendation letters from our current Graduate faculty in the program. 130 (2008), no. Proportions, percent problems, probability, counting principles,statistics. WebIn mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. 0.00584(Eigenfactor Score) eTOC (Electronic Table of Contents) alerts can be delivered to your inbox when this or any Hopkins Press journal is published via your ProjectMUSE MyMUSE account. Two hours laboratory. Three hours lecture. Introduction to Discrete Mathematics Handwritten Lecture Notes PDF. A continuation of MA8203 including topics from wave propagation, stability, and similarity methods. Math. Continuation of topics introduced in MA8913, One hour lecture. MA8203 Foundations of Applied Mathematics I: 3 hours. There are no page charges, but authors will be charged for the cost of excessive changes requested after an article has been typeset. MillerRabin primality test - Wikipedia The editors of the Journal employ a two-stage blind reviewing process: multiple brief opinions (re: general suitability) are sought out first, followed by the solicitation of at least one full, detailed report from another referee. 2.149 (Five-Year Impact Factor) One hour lecture. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics. (May be repeated for credit). Mathematics | Random Variables Three hours lecture. Three hours laboratory. AJMmanuscripts should adhere to the following general style points: an abstract should be included on the first page (heavy use of mathematical symbols and displayed formulas in abstracts is discouraged); the body of the manuscript should begin with an introduction stating the purpose of the article and summarizing the principal results; footnotes should not be used (other than on the first page to acknowledge financial support); any figures or other illustrations should be rendered in black-and-white or grayscale only; and bibliographic references should be listed alphabetically at the end of the article (the format for references can be found in current issues of theAmerican Journal; authors should consultMathematical Reviewsfor the standard abbreviations of journal names). Topics include mixed and random models, incomplete block design, changeover trials, experiments, analysis of covariance, and repeated measures design, (Prerequisites: ST4253/6253 and ST4573/6573) . Patterns in nature (Prerequisite: ACT Math subscore 24(or higher for some sections) or grade of C or better in MA1103 or MA1313 or MA1213). Principles of applied mathematics including topics from perturbation theory, calculus of variations, and partial differential equations. Los Angeles, California 90089-2532, H. Hida MA4000 Directed Individual Study in Mathematics: 1-6 hours. ST6211 Statistical Consulting: 1 hour. Algebraic and some transcendental functions, solutions of systems of linear equations, limits, continuity, derivatives, applications, (Prerequisite: ACT Math subscore 26, or grade of C or better in 1323 or 1453). Introduction to the statistical computer packages available at MSU. Discrete nonlinear Hamiltonian lattices in many cases [citation needed]The best known fields are the field of rational Mathematics Department (Courses limited to two offerings under one title within two academic years). (Prerequisite: ST6573 or ST8123). ST8273 Advanced Regression Analysis: 3 hours. Three hours lecture. Three hours lecture. Hilbert spaces; Banach spaces; locally convex spaces; Hahn-Banach and closed graph theorems; principle of uniform boundedness; weak topologies. Three hours lecture. The nature of mathematics; introductory logic; structure and development of the real number system. Three hours lecture. Does not count toward any degree. Marche alatoire Wikipdia (Prerequisite: MA1723). ST6523 Introduction to Probability: 3 hours. Annals of Combinatorics MA1423 Problem Solving with Real Numbers: 3 hours. Background and motivation. A breather is a localized periodic solution of either continuous media equations or discrete lattice equations. MA9633 Selected Topics in Analysis: 3 hours. To navigate items, use the arrow, home, and end keys. This is a course note on discrete mathematics as used in Computer Science. Three hours lecture. (Prerequisite: MA4633/6633 or equivalent). Weak or amateurish papers which are clearly unsuitable for a top-level Mathematics journal (e.g., unsophisticated, incorrect, poorly written, not composed in TeX, lacking familiarity with current literature on the topic, etc.) (MA0003 is a developmental course designed to prepare a student for university mathematics courses at the level of MA1313 College Algebra: credit received for this course will not be applicable toward a degree). (Same as IE4733/6733). 3 (2009), 731 - 769, The automorphism groups of the profinite braid groups, On Arthur s unitarity conjecture for split real groups, Sofic homological invariants and the Weak Pinsker Property, Inequalities of Riesz-Sobolev type for compact connected Abelian groups, Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus, On the number of critical points of solutions of semilinear equations in R^2, NONCOMMUTATIVE TENSOR TRIANGULAR GEOMETRY, Global $C^{2,\alpha}$ estimates for the Monge-Ampere equation on polygonal domains in the plane, RATIONALITY OF FANO THREEFOLDS OVER NON-CLOSED FIELDS, SINGULARITY FORMATION IN THE HARMONIC MAP FLOW WITH FREE BOUNDARY, ON THE MAZUR-TATE CONJECTURE FOR PRIME CONDUCTOR AND MAZUR'S EISENSTEIN IDEAL, A short proof of 2 decoupling for the moment curve, Kissing numbers of closed hyperbolic manifolds, Bestvina-Brady discrete Morse theory and Vietoris-Rips complexes, Optimal boundary regularity for fast diffusion equations in bounded domains, On the failure of gorensteinness at weight 1 Eisenstein points of the eigencurve, STRICHARTZ ESTIMATES FOR THE SCHROEDINGER EQUATION ON NON-RECTANGULAR TWO-DIMENSIONAL TORI, Birational self-maps of threefolds of (un)-bounded genus or gonality, Four-manifolds up to connected sum with complex projective planes, On stratification for spaces with Noetherian mod p cohomology, On the 1_H-flow by p-Laplace approximation: new estimates via fake distances under Ricci lower, Structure and classification results for the $\infty$-elastica problem, A higher rank Euler system for G_m over a totally real field, A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in R", The many integral graded cellular bases of Hecke algebras of complex reflection groups, BLOW-UP CRITERIA BELOW SCALING FOR DEFOCUSING ENERGY-SUPERCRITICAL NLS AND QUANTITATIVE GLOBAL SCATTERING BOUNDS, Existence of minimal hypersurfaces with non-empty free boundary for generic metrics, Spherical maximal functions and fractal dimensions of dilation sets, Roots of random functions: A general condition for local universality, FROM MULTILINE QUEUES TO MACDONALD POLYNOMIALS VIA THE EXCLUSION PROCESS, Average CM-values of higher Green's function and factorization, Singularities of L^2-metric in the canonical bundle formula, Perfectoid spaces arising from arithmetic jet spaces, ON THE ORDER OF MAGNITUDE OF SUDLER PRODUCTS, Mabuchi's soliton metric and relative D-stability, SINGULARITIES OF GENERAL FIBERS AND THE LMMP, On the magnitude function of domains in Euclidean space, Generic Newton polygon for exponential sums in $n$ variables with parallelotope base, Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schr\"odinger equation on $\R^2$, VORONOI SUMMATION FOR GL_n: COLLUSION BETWEEN LEVEL AND MODULUS, Long-time dynamics of coherent states in strong magnetic fields, Coordinates Adapted to Vector FIelds II: Sharp Results, Singularities of rational inner functions in higher dimensions, CLASSIFICATION OF ANGULAR CURVATURE MEASURES AND A PROOF OF THE ANGULARITY CONJECTURE, Improved bounds for the Kakeya maximal conjecture in higher dimensions, Microlocal decoupling inequalities and the distance problem on Riemannian manifolds, Maximal directional operators along algebraic varieties, Almost sure scattering for the energy critical nonlinear wave equation, On the inverseabsolute continuity of quasiconformal mappings on hypersurfaces, Gaussian fluctuations for products of random matrices, Estimates for matrix coefficients of representations, A conjecture on the zeta functions of pairs of ternary quadratic forms, Ancient gradient flows of elliptic functionals and Morse index, The Dirichlet problem for the k-Hessian equation on a complex manifold, ACC for log canonical threshold polytopes, Unramified Brauer groups of conic bundle threefolds in characteristic two, ON THE SIGN PATTERNS OF ENTRYWISE POSITIVITY PRESERVERS IN FIXED DIMENSION, Special values of $L$-functions and the refined Gan-Gross-Prasad conjecture, The variance of the number of sums of two squares in F_q[T] in short intervals, ERRATUM: Fujita s conjecture and Frobenius amplitude. 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