We are pleased to announce the creation of Mathematics Research Network (MathRN), which focuses on 21 major areas of scholarship. SSRN's newest network provides a worldwide online community for mathematics scholars and for the sharing of ideas across a broad spectrum of early stage research, including working papers, conference papers, preprints, etc.

The following MathRN areas are available and subscriptions will be free during the start-up phase.


View Papers: https://www.ssrn.com/link/Algebra.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Algebra

Description: This area includes content on all aspects of algebra and its application to related fields. Areas of research include linear and multilinear algebra, associative and non-associative rings and algebras, commutative and non-commutative rings and algebras, universal algebra and lattice theory, semigroups, homological algebra, representation theory, quantum algebra, quantum groups, skein theories, operator algebras, operadic and diagrammatic algebra, quantum field theory, and algebraic varieties.


View Papers: https://www.ssrn.com/link/Analysis.html
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Description: This area includes content on all aspects of classical analysis, harmonic analysis, special functions, functional analysis, Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory, global analysis, orthogonal polynomials, calculus of variations, approximations, expansions, asymptotic, analysis of PDEs, existence and uniqueness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics, complex variables, holomorphic functions, automorphic group actions and forms, pseudoconvexity, analytic spaces, and analytic sheaves.


View Papers: https://www.ssrn.com/link/Computational-Applied-Mathematics.html
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Description: This area includes content on mathematical and computational techniques to solve scientific and engineering problems using methods such as numerical linear algebra, numerical optimization, numerical approximation, computational geometry, inverse problems, iterative methods, eigenvalue problems, nonlinear equations, nonlinear systems, inverse problems, numerical approximation, ordinary differential equations (ODEs), boundary value problems, partial differential equations (PDEs), difference equations, integral equations, optimization, operations research, linear programming, control theory, systems theory, optimal control, game theory, variational techniques, and modeling curves and surfaces.


View Papers: https://www.ssrn.com/link/Difference-Differential-Equations.html
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Description: This area includes content on qualitative and quantitative theories of ordinary and partial differential equations and the existence and stability of difference equations. Areas of research include existence and uniqueness, boundary value problems on finite or infinite intervals, asymptotic behavior of the solutions, linearization methods, spectral theory, stochastic differential equations, and linear and nonlinear operators.


View Papers: https://www.ssrn.com/link/Discrete-Mathematics-Combinatorics.html
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Description: This area includes content on algebraic geometry and combinatorics, combinatorial optimization, discrete mathematics, enumeration, graph theory, lattices and lattice theory, and ordered algebraic structures.


View Papers: https://www.ssrn.com/link/Dynamical-Systems.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Dynamical-Systems

Description: This area includes content on the behavior of complex dynamical systems and the geometrical properties of trajectories using mathematical principles and tools. This includes chaos theory, logistic map dynamics, bifurcation theory, and self-organization processes.


View Papers: https://www.ssrn.com/link/Engineering-Mathematics.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Engineering-Mathematics

Description: This area includes content on applications of mathematical and computational tools in engineering and industrial research such as aerospace, atmospheric, bioengineering, biomedical and biomathematics, complex systems, chemical, electrical, fluid dynamics and turbulence, geophysical, informatics, mechanical, ocean, production, systems and transportation, fracture mechanics, nano-engineering, and robotics.


View Papers: https://www.ssrn.com/link/Financial-Mathematics.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Financial-Mathematics

Description: This area includes content on all areas of computational and theoretical finance. Research areas include mathematical economics, financial economics, securities, markets, stock, and international economics.


View Papers: https://www.ssrn.com/link/Geometry.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Geometry

Description: This area includes content on all aspects of geometry and its application to related fields. Areas of research include metric geometry, Euclidean, hyperbolic, discrete, convex, coarse geometry, symmetric spaces, complex geometry, differential geometry, Riemannian, pseudo-Riemannian and Finsler geometry, comparisons in Riemannian geometry, relativity, gauge theory, non-commutative geometry, K-theory and homology, manifolds and cell complexes, and analysis of manifolds.


View Papers: https://www.ssrn.com/link/History-Philosophy-Mathematics.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=History-Philosophy-Mathematics

Description: This area includes content on the concept, history, and philosophy of mathematics, communication of mathematics, and ethics in mathematics.


View Papers: https://www.ssrn.com/link/Logic.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Logic

Description: This area includes content on logic, mathematical logic and foundations, set theory, point-set topology, and formal mathematics.


View Papers: https://www.ssrn.com/link/Mathematical-Biology.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Mathematical-Biology

Description: This area includes content on the intersection of biology and mathematics, utilizing mathematical models and approaches to leverage understanding of complex biological systems. Research areas include mathematical modeling and analysis of brain and neuroscience, cell biology, epidemiology, evolution, immunology, multiscale systems, networks, physiology, population dynamics, systems biology, and computational biology.


View Papers: https://www.ssrn.com/link/Mathematical-Physics.html
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Description: This area includes content on applications of mathematical methods to investigate and analyze physical and chemical systems. Areas of research include mathematical approaches to problems of quantum and classical mechanics and field theories, as well as relativity and gravitation, statistical physics, and mathematical foundations of physical theories.


View Papers: https://www.ssrn.com/link/Mathematics-Educator.html
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Description: This area includes content that supports high quality student learning in mathematics and related disciplines, and is designed for the sharing of teaching materials. This includes casebooks, reviews of casebooks, lecture notes, class summaries, outlines, supplementary materials (for your own or someone else's book), syllabi, problem sets, PowerPoint presentations, videos, and other teaching materials.


View Papers: https://www.ssrn.com/link/Mathematics-Negative-Results.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Mathematics-Negative-Results

Description: This area includes content in which negative results were found. Negative results are instances in which the expected outcome of the research was not borne out by the results. The negative results area includes papers that have controversial or provocative results that challenge established theories as well as papers that replicate or support findings published elsewhere.


View Papers: https://www.ssrn.com/link/Number-Theory.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Number-Theory

Description: This area includes content on number theory, analytic number theory, algebraic number theory, prime numbers, diophantine equations, Galois theory, and arithmetic geometry.


View Papers: https://www.ssrn.com/link/Numerical-Analysis.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Numerical-Analysis

Description: This area includes content on all aspects of numerical analysis and its application to related fields. Areas of research include numerical algorithms for problems in analysis and algebra and scientific computation.


View Papers: https://www.ssrn.com/link/Optimization-Control.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Optimization-Control

Description: This area includes content on optimization, operations research, linear programming, control theory, systems theory, optimal control, and game theory.


View Papers: https://www.ssrn.com/link/Probability-Statistics.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Probability-Statistics

Description: This area includes content on the theory and application of probability and statistics. Areas of research include the foundations of probability and statistics theory, probability theory on topological structures, stochastic geometry, distribution theory, limit theorems, stochastic processes, stochastic analysis, Markov processes, Bayesian problems, parametric and nonparametric inference, multivariate analysis, regression, sequential methods, inference from stochastic processes, survival analysis, and data science.


View Papers: https://www.ssrn.com/link/Theoretical-Computer-Science.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Theoretical-Computer-Science

Description: This area includes content on all aspects of mathematics and computer science. Areas of research include analysis of algorithms, data structures and complexity, coding theory, computational complexity, computational geometry, machine learning theory, mathematical optimization, mathematical software, models of computations, network protocols, operations research, programming logic, parallel and distributed computation, probabilistic computation, quantum computation, automata theory, information theory, cryptography, program semantics and verification, and algorithmic game theory.


View Papers: https://www.ssrn.com/link/Topology.html
Subscribe: https://hq.ssrn.com/jourInvite.cfm?link=Topology

Description: This area includes content on all aspects of topology and its application to related fields. Areas of research include general topology, geometric topology, algebraic topology, topological groups, lie theory, continuum theory, point-set topology, dimension theory, local and global properties, manifolds, orbifolds, polyhedra, cell complexes, foliations, geometric structures, modules, ideals, computational aspects, invariant theory, and homotopy theory.

You can subscribe to these areas at no cost by clicking on the "subscribe" links listed above.

Modify or change your SSRN Subscriptions. For instructions on how to change subscriptions view the SSRN Support Center.

Questions? Please visit the SSRN Support Center or call 877-SSRNHelp (877 777 6435) in the United States, or +1 212 448 2500 outside of the United States.

SSRN's searchable library contains abstracts, full bibliographic data, and author contact information for more than 1.1 million papers, more than 1 million authors, and full text for more than 1 million papers. This content can be accessed at https://papers.ssrn.com.

SSRN supports open access by allowing authors to upload papers to the platform for free through the SSRN User HeadQuarters at https://hq.ssrn.com - and by providing free downloading of those papers.

Downloads from SSRN in the past 12 months total more than 29.3 million, with more than 214.3 million downloads since inception.

Searching on an individual's name in the author field on our search page at https://ssrn.com/search provides a directory of scholars that includes contact information for authors, including email, postal, telephone, and fax information.

SSRN's objective is to provide rapid, worldwide distribution of research to authors and their readers and to facilitate communication among them at the lowest possible cost. In pursuit of this objective, we allow authors to upload papers without charge. And, any paper an author uploads to SSRN is downloadable for free, worldwide.

The Mathematics Research Network (MathRN) hosts research content. You can subscribe to new content notifications through the SSRN User HeadQuarters at https://hq.ssrn.com.


Mathematics Research Network

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