11-0611-0214-0611gxx11mxx11rxx11yxx14hxx14kxx14qxx 14d2214d2014h1014h6014j10 14hxx30fxx68wxx 21stcentury 524 abelianvarietiesandschemes adamsspectralsequences algebra algebraic algebraicfields algebraicgeometry algebraicmoduliproblems algebraicnumbertheory:globalfields algebraictopology algebraischegeometrie algebraischekurve algorithms approximationtheory architecturaldesign architecture arithmetic arithmeticalalgebraicgeometry arithmeticalgebraicgeometry(diophantinegeometry) bordismandcobordismtheories categorytheory;homologicalalgebra classification:algebraictheory codingtheory collections complex complexcobordism($ computationalaspectsinalgebraicgeometry computationalnumbertheory computer-aideddesign computerscience computersimulation computervision conferences conformalmapping congresses cryptography curvesonsurfaces dataprocessing differential differentialgeometry differentialtopology elliptic ellipticcohomology ellipticcurves engineeringmathematics equations error-correctingcodes(informationtheory) etc exercises families fermat'slasttheorem fibrations fineandcoarsemodulispaces formalgrouplaws forms functionsofacomplexvariable general geometricaldrawing geometry goppacodes heatequation homologicalalgebra homologyandcohomologytheories hypercohomology imageprocessing invariants japan l-functions linearalgebras lineardifferentialequations linktheory manifoldsandcellcomplexes mat140f mat145f mathematics matrices modern modular modularcurves moduli moduli(algebraic) moduliofvectorbundles modulitheory multiplication numbertheory otherhomologytheories partialdifferentialoperators pathintegrals patternrecognitionsystems plane planecurves polygons problems proceedings projective randommatrices researchexposition(monographs riemannsurfaces scalarfieldtheory singularities(mathematics) sk240 spectralsequences stacksandmoduliproblems structuraldesign surfaces surfacesandhigher-dimensionalvarieties surveyarticles) textbooks topologicalfields vectorbundles vectorbundlesoncurvesandtheirmoduli vectorfields vectorspaces waveequation womenmathematicians zetaand$l$-functions:analytictheory