Areas of expertise

• Algebraic Structures In Mathematical Physics 010501
• Algebra And Number Theory 010101
• Partial Differential Equations 010110
• Category Theory, K Theory, Homological Algebra 010103
• Algebraic And Differential Geometry 010102
• Operator Algebras And Functional Analysis 010108
• Group Theory And Generalisations 010105
• Statistical Theory 010405
• Statistics 0104

Publications

• Neeman, A 2021, 'A counterexample to vanishing conjectures for negative K-theory', Inventiones Mathematicae, vol. 225, pp. 427-452.
• Neeman, A 2021, 'Strong generators in D-Perf(X) and D-coh(b)(X)', Annals of Mathematics, vol. 193, no. 3, pp. 689-732.
• Neeman, A 2020, 'New progress on Grothendieck duality, explained to those familiar with category theory and with algebraic geometry', Bulletin of the London Mathematical Society, vol. 00, pp. 1-21.
• Neeman, A 2020, 'Grothendieck duality made simple', Imagineers in Circus and Science: Scientific Knowledge and Creative Imagination, 2018, ed. Guillermo Cortiñas Charles A. Weibel, Australian National University, Canberra, pp. 279-325.
• Rizzardo, A, Van den Bergh, M & Neeman, A 2019, 'An example of a non-Fourier-Mukai functor between derived categories of coherent sheaves', Inventiones Mathematicae, vol. 216, no. 3, pp. 927-1004.
• Hall, J, Neeman, A & Rydh, D 2019, 'One Positive and Two Negative Results for Derived Categories of Algebraic Stacks', Journal of the Institute of Mathematics of Jussieu, vol. 18, no. 5, pp. 1087-1111.
• Neeman, A 2019, 'Metrics on triangulated categories', Journal of Pure and Applied Algebra, vol. 224, no. 4.
• Chacholski, W, Neeman, A, Pitsch, W et al. 2018, 'RELATIVE HOMOLOGICAL ALGEBRA VIA TRUNCATIONS', Documenta Mathematica, vol. 23, pp. 895-937.
• Avramov, L, Iyengar, S & Neeman, A 2018, 'Big Cohen-macaulay Modules, Morphisms Of Perfect Complexes, And Intersection Theorems In Local Algebra', Documenta Mathematica, vol. 23, pp. 1601-1619.
• Lipman, J & Neeman, A 2018, 'On the fundamental class of an essentially smooth scheme-map', Journal of Environmental Chemical Engineering, vol. 5, no. 2, pp. 131-159pp.
• Neeman, A 2018, 'Separable monoids in D-qc(X)', Journal fur Reine und Angewandte Mathematik, vol. 2018, no. 738, pp. 237-280pp.
• Neeman, A 2016, 'Strong generation of some derived categories of schemes', Trends in Mathematics, vol. 5, pp. 121-127pp.
• Iyengar, S, Lipman, J & Neeman, A 2015, 'Relation between two twisted inverse image pseudofunctors in duality theory', Compositio Mathematica, vol. 151, no. 4, pp. 735-764.
• Neeman, A 2015, 'Traces and Residues', Indiana University Mathematics Journal, vol. 64, no. 1, pp. 217-229.
• Neeman, A 2015, 'The Decomposition of Hom(k) (S, k) into Indecomposable Injectives', Acta Mathematica Vietnamica, vol. 40, no. 2, pp. 331-338.
• Neeman, A 2014, 'The homotopy category of injectives', Algebra & Number Theory, vol. 8, no. 2, pp. 429-456.
• Neeman, A 2011, 'Colocalizing subcategories of D(R)', Journal fur Reine und Angewandte Mathematik, vol. 653, no. 653, pp. 221-243.
• Neeman, A 2011, 'Rigid dualizing complexes', Iranian Mathematical Society. Bulletin, vol. 37, no. 2, pp. 273-290.
• Neeman, A 2011, 'Explicit Cogenerators for the Homotopy Category of Projective Modules over a Ring', Annales Scientifiques de l'Ecole Normale Superieure, vol. 44, no. 4, pp. 607-629.
• Neeman, A 2011, 'Non-left-complete derived categories', Mathematical Research Letters, vol. 18, no. 5, pp. 827-832.
• Neeman, A 2010, 'Dualizing complexes-the modern way', International colloquium on Cycles, Motives and Shimura Varieties, ed. V. Srinivas, Narosa Publishing House, Mumbai India, pp. 419-447.
• Neeman, A 2010, 'Some adjoints in homotopy categories', Annals of Mathematics, vol. 171, no. 3, pp. 2143-2155.
• Casacuberta, C & Neeman, A 2009, 'Brown Representability Does Not Come for Free', Mathematical Research Letters, vol. 16, no. 1, pp. 1-5.
• Neeman, A 2009, 'Brown representability follows from Rosicky's theorem', Journal of Topology, vol. 2, no. 2, pp. 262-276.
• Neeman, A 2008, 'The homotopy category of flat modules, and Grothendieck duality', Inventiones Mathematicae, vol. 174, no. 2, pp. 255-308.
• Neeman, A & Cisinski, D 2008, 'Additivity for derivator K-theory', Advances in Mathematics, vol. 217, no. 4, pp. 1381-1475.
• Neeman, A 2007, 'An infinite version of homological mirror symmetry.', Japanese-Australian Workshop on Real and Complex Singularities 2005, ed. Laurentiu Paunescu, Adam Harris, Toshizumi Fukui, Satoshi Koike, World Scientific Publishing Company, Hackensack, NJ, pp. 290-298.
• Neeman, A 2007, 'Long exact sequences coming from triangles', Symposium on Ring Theory and Representation Theory 2006, ed. Fujio Kubo, Mamoru Kutami, Conference Organising Committee, Yamaguchi, pp. 23-29.
• Davydov, A, Batanin, M, Johnson, M et al, eds, 2007, Categories in algebra, geometry and mathematical physics, American Mathematical Society, Providence, Rhode Island, USA.
• Neeman, A 2007, Algebraic and analytic geometry, Cambridge University Press, Cambridge.
• Lipman, J & Neeman, A 2007, 'Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor', Illinois Journal of Mathematics, vol. 51, no. 1, pp. 209-236.
• Neeman, A 2007, 'Noncommutative localisation in algebraic K-theory II', Advances in Mathematics, vol. 213, no. 2, pp. 785-819.
• Neeman, A 2006, 'A non-commutative generalisation of Thomasons localisation theorem', in Andrew Ranicki (ed.), Noncommutative localization in algebra and topology, Cambridge University Press, Cambridge, pp. 60-80.
• Elmore, R, Hall, P & Neeman, A 2005, 'An application of classical invariant theory to identifiability in nonparametric mixtures', Annales de l'Institut Fourier, vol. 55, no. 1, pp. 1-28.
• Hall, P, Neeman, A, Elmore, R et al 2005, 'Nonparametric inference in multivariate mixtures', Biometrika, vol. 92, no. 3, pp. 667-678.
• Hall, P, Marron, J & Neeman, A 2005, 'Geometric representation of high dimension, low sample size data', Journal of the Royal Statistical Society Series B, vol. 67, no. 3, pp. 427-444.
• Elmore, R, Hall, P & Neeman, A 2005, 'An application of classical invariant theory to identifiability in nonparametric mixtures', Annales de l'Institut Fourier, vol. 55, pp. 1-28.
• Neeman, A 2005, 'A survey of well generated triangulated categories', in Ragnar-Olaf Buchweitz and Helmut Lenzig (ed.), Representations of algebras and related topics, American Mathematical Society, USA, pp. 307-330.
• Neeman, A, Ranicki, A & Schofield, A 2004, 'Representations of algebras as universal localizations', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 136, pp. 105-117.
• Neeman, A & Ranicki, A 2004, 'Noncommutative localisation in algebraic K-theory I', Geometry and Topology, vol. 8, pp. 1385-1425.
• Neeman, A 2002, 'A counterexample to a 1961 theorem in homological algebra', Inventiones Mathematicae, vol. 148, pp. 397-420.
• Keller, B & Neeman, A 2002, 'The connection between Mays axiom for a triangulated tensor product and Happels description of the derived category of the Quiver $D_{4}$', Documenta Mathematica - electronic, vol. 7, pp. 535-560.
• Neeman, A & Shepherd-Barron, N 2001, 'Automorphisms of the Yang-Baxter equations for the Chiral-Potts model', Journal of Physics A: Mathematical and General, vol. 34, pp. 715-720.
• Neeman, A 2001, 'K-Theory for triangulated categories 3 3/4: A direct proof of the Theorem of the Heart', K-Theory, vol. 22, pp. 1-44.
• Davies, B & Neeman, A 2001, 'Algebraic Geometry of the Three-State Chiral Potts Model', Israel Journal of Mathematics, vol. 125, pp. 253-292.
• Chistensen, J, Keller, B & Neeman, A 2001, 'Failure of Brown representability in derived categories', Topology, vol. 40, no. 6, pp. 1339-1361.
• Neeman, A 2001, Triangulated Categories, Princeton University Press, Princeton, New Jersey, USA.
• Neeman, A 2001, 'On the derived category of sheaves on a manifold', Documenta Mathematica, vol. 6, pp. 483-488.
• Neeman, A 2000, 'An improvement on a theorem of Ben Martin', Mathematical Research Letters, vol. 7, no. 4, pp. 411 - 415.
• Neeman, A 2000, '$K$-theory for triangulated categories $3\frac12$. B.: a detailed proof of the theorem of homological functors', K-Theory, vol. 20, no. 3, pp. 243 - 298.
• Neeman, A 2000, '$K$-theory for triangulated categories $3\frac 12$. A.: a detailed proof of the theorem of homological functors', K-Theory, vol. 20, no. 2, pp. 97 - 174.
• Neeman, A 2000, 'Loop spaces for $Q$-constructions', Fundamenta Mathematicae, vol. 164, no. 1, pp. 71 - 95.
• Neeman, A 2000, 'Oddball Bousfield classes', Topology, vol. 39, no. 5, pp. 931 - 935.
• Neeman, A 1999, '$K$-theory for triangulated categories 3b: the theorem of the heart', Asian Journal of Mathematics, vol. 3, pp. 557-608.

Projects and Grants

Grants information is drawn from ARIES. To add or update Projects or Grants information please contact your College Research Office.

• Moduli, invariants, and algebraisation (Secondary Investigator)
• Topics in triangulated categories (Primary Investigator)
• Derived categories and their many applications (Primary Investigator)
• Derived categories and applications (Primary Investigator)
• Triangulated categories and their applications (Primary Investigator)
• Topological Lambda-Algebras (Secondary Investigator)