{"id":807,"date":"2024-12-15T18:45:18","date_gmt":"2024-12-15T23:45:18","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/henry-adams\/?page_id=807"},"modified":"2026-03-22T07:06:17","modified_gmt":"2026-03-22T11:06:17","slug":"msc","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/henry-adams\/msc\/","title":{"rendered":"MSC codes"},"content":{"rendered":"\n<section class=\"fullwidth-text-block\"><div class=\"container px-0\"><div class=\"row align-items-start\"><div class=\"col-12\">\n<h2 class=\"wp-block-heading\">MSC codes<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Here are Henry&#8217;s tips for choosing MSC (mathematics subject classification) codes, if you&#8217;re writing a paper with me.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The MSC 2020 codes are available at <a href=\"https:\/\/mathscinet.ams.org\/mathscinet\/msc\/msc2020.html\">https:\/\/mathscinet.ams.org\/mathscinet\/msc\/msc2020.html<\/a> or <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/content-removed\/\">https:\/\/mathscinet.ams.org\/msnhtml\/msc2020.pdf<\/a>.<br>\nThe MSC codes I use most frequently are as follows.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>05E45: Combinatorics \u2192 Algebraic combinatorics \u2192 Combinatorial aspects of simplicial complexes<br><\/li>\n\n\n\n<li>51F30: Geometry \u2192 Metric Geometry \u2192 Lipschitz and coarse geometry of metric spaces<br><\/li>\n\n\n\n<li>52B15: Convex and discrete geometry \u2192 Polytopes and polyhedra \u2192 Symmetry properties of polytopes<br><\/li>\n\n\n\n<li>53C23: Differential geometry \u2192 Global differential geometry \u2192 Global geometric and topological methods (\u00e0 la Gromov); differential geometric analysis on metric spaces<br><\/li>\n\n\n\n<li>54E35: General topology \u2192 Spaces with richer structures \u2192 Metric spaces, metrizability<br><\/li>\n\n\n\n<li>55N31: Algebraic topology \u2192 Homology and cohomology theories in algebraic topology \u2192 Persistent homology and applications, topological data analysis<br><\/li>\n\n\n\n<li>55P10: Algebraic topology \u2192 Homotopy theory \u2192 Homotopy equivalences<\/li>\n\n\n\n<li>55U10: Algebraic topology \u2192 Applied homological algebra and category theory \u2192 Simplicial sets and complexes<br><\/li>\n\n\n\n<li>57R19: Manifolds and cell complexes \u2192 Differential topology \u2192 Algebraic topology on manifolds and differential topology<br><\/li>\n\n\n\n<li>62R40: Statistics \u2192 Statistics on algebraic and topological structures \u2192 Topological data analysis<br><\/li>\n\n\n\n<li>68R05: Computer science \u2192 Discrete mathematics in relation to computer science \u2192 Combinatorics<br><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">I have also written papers with the following MSC codes.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>05B40: Combinatorics \u2192 Designs and configurations \u2192 Combinatorial aspects of packing and covering<br><\/li>\n\n\n\n<li>05C15: Combinatorics \u2192 Graph theory \u2192 Coloring of graphs and hypergraphs<br><\/li>\n\n\n\n<li>05C69: Combinatorics \u2192 Graph theory \u2192 Dominating sets, independent sets, cliques<br><\/li>\n\n\n\n<li>15A18: Linear and multilinear algebra; matrix theory \u2192 Basic linear algebra \u2192 Eigenvalues, singular values, and eigenvectors<br><\/li>\n\n\n\n<li>15A83: Linear and multilinear algebra: matrix theory \u2192 Basic linear algebra \u2192 Matrix completion problems<br><\/li>\n\n\n\n<li>20F65: Group theory and generalizations \u2192 Special aspects of infinite or finite groups \u2192 Geometric group theory<br><\/li>\n\n\n\n<li>37B30: Dynamical systems and ergodic theory \u2192 Topological dynamics \u2192 Index theory, Morse-Conley indices<br><\/li>\n\n\n\n<li>37B99: Dynamical systems and ergodic theory \u2192 Topological dynamics \u2192 None of the above, but in this section<br><\/li>\n\n\n\n<li>37H99: Dynamical systems and ergodic theory \u2192 Random dynamical systems \u2192 None of the above, but in this section<br><\/li>\n\n\n\n<li>37M05: Approximation methods and numerical treatment of dynamical systems \u2192 Simulation of dynamical systems<br><\/li>\n\n\n\n<li>47A05: Operator Theory \u2192 General theory of linear operators \u2192 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)<br><\/li>\n\n\n\n<li>51F99: Geometry \u2192 Metric Geometry \u2192 None of the above, but in this section<br><\/li>\n\n\n\n<li>52A40: Convex and discrete geometry \u2192 General convexity \u2192 Inequalities and extremum problems involving convexity in convex geometry<br><\/li>\n\n\n\n<li>52C17: Convex and discrete geometry \u2192 Discrete geometry \u2192 Packing and covering in <i>n<\/i> dimensions (aspects of discrete geometry)<br><\/li>\n\n\n\n<li>52C25: Convex and Discrete Geometry \u2192 Discrete geometry \u2192 Rigidity and flexibility of structures (aspects of discrete geometry)<br><\/li>\n\n\n\n<li>52C35: Convex and Discrete Geometry \u2192 Discrete geometry \u2192 Global geometric and topological methods (\u00e0 la Gromov); differential geometric analysis on metric spaces<br><\/li>\n\n\n\n<li>53C23: Differential Geometry \u2192 Global differential geometry \u2192 Arrangements of points, flats, hyperplanes (aspects of discrete geometry)<br><\/li>\n\n\n\n<li>54C55: General topology \u2192 Maps and general types of topological spaces defined by maps \u2192 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)<br><\/li>\n\n\n\n<li>54C65: General topology \u2192 Maps and general types of topological spaces defined by maps \u2192 Selections in general topology<br><\/li>\n\n\n\n<li>54F45: General topology \u2192 Special properties of topological spaces \u2192 Dimension theory in general topology<br><\/li>\n\n\n\n<li>54H25: General topology \u2192 Connections of general topology with other structures, applications \u2192 Fixed-point and coincidence theorems (topological aspects)<br><\/li>\n\n\n\n<li>55N91: Algebraic topology \u2192 Homology and cohomology theories in algebraic topology \u2192 Equivariant homology and cohomology in algebraic topology<br><\/li>\n\n\n\n<li>55P65: Algebraic topology \u2192 Homotopy theory \u2192 Homotopy functors in algebraic topology<br><\/li>\n\n\n\n<li>55P91: Algebraic topology \u2192 Homotopy theory \u2192 Equivariant homotopy theory in algebraic topology<br><\/li>\n\n\n\n<li>55Q05: Algebraic topology \u2192 Homotopy groups \u2192 Homotopy groups, general; sets of homotopy classes<br><\/li>\n\n\n\n<li>55Q52: Algebraic topology \u2192 Homotopy groups \u2192 Homotopy groups of special spaces<br><\/li>\n\n\n\n<li>55R10: Algebraic topology \u2192 Fiber spaces and bundles in algebraic topology \u2192 Fiber bundles in algebraic topology<br><\/li>\n\n\n\n<li>57Q05: Manifolds and cell complexes \u2192  PL-topology \u2192 General topology of complexes<br><\/li>\n\n\n\n<li>60C05: Probability theory and stochastic processes \u2192 Combinatorial probability \u2192 Combinatorial probability<br><\/li>\n\n\n\n<li>62-07: Statistics \u2192 Data analysis<br><\/li>\n\n\n\n<li>62H25: Multivariate analysis \u2192 Multivariate analysis \u2192 Factor analysis and principal components; correspondence analysis<br><\/li>\n\n\n\n<li>62H35: Statistics\u2192 Multivariate analysis \u2192 Image analysis<br><\/li>\n\n\n\n<li>65D18: Numerical analysis \u2192 Numerical approximation and computational geometry (primarily algorithms) \u2192 Computer graphics, image analysis, and computational geometry<br><\/li>\n\n\n\n<li>65F50: Numerical analysis \u2192 Numerical linear algebra \u2192 Computational methods for sparse matrices<br><\/li>\n\n\n\n<li>65F55: Numerical analysis \u2192 Numerical linear algebra \u2192 Numerical methods for low-rank matrix approximation; matrix compression<br><\/li>\n\n\n\n<li>68T09: Computer Science \u2192 Artificial intelligence \u2192 Computational aspects of data analysis and big data<br><\/li>\n\n\n\n<li>68U05: Computer science \u2192 Computing methodologies and applications \u2192 Computer graphics; computational geometry<br><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Navigation: <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/\">Home<\/a> &#8211; <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/teaching\/\">Teaching<\/a> &#8211; <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/research\/\">Research<\/a> &#8211; <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/talks\/\">Talks<\/a> &#8211; <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/advising\/\">Advising<\/a> &#8211; <a href=\"https:\/\/people.clas.ufl.edu\/henry-adams\/curriculum-vitae\/\">CV<\/a><\/p>\n<\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1319,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-807","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/pages\/807","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/users\/1319"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/comments?post=807"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/pages\/807\/revisions"}],"predecessor-version":[{"id":1775,"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/pages\/807\/revisions\/1775"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/henry-adams\/wp-json\/wp\/v2\/media?parent=807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}