Newcastle University

Research Interests

Homological algebra and related areas, such as algebraic geometry, algebraic topology, representation theory, and ring theory

Postgraduate Supervision

Supervisor for David Pauksztello

Esteem Indicators

Editorial Adviser for the Bulletin, Journal, and Proceedings of the London Mathematical Society

Undergraduate Teaching

MAS3202

• Jorgensen P. Existence of Gorenstein projective resolutions and Tate cohomology. Journal of the European Mathematical Society 2007, 9(1), 59-76.
• Jorgensen P. The homotopy category of complexes of projective modules. Advances in Mathematics 2004, 193(1), 223-232.
• Jorgensen P, Frankild A. Homological identities for differential graded algebras. Journal of Algebra 2003, 265(1), 114-135.
• Jorgensen P. Auslander-Reiten theory over topological spaces. Commentarii Mathematici Helvetici 2004, 79(1), 160-182.
• Jorgensen P. Spectra of Modules. Journal of Algebra 2001, 244(2), 744-784.
• Jorgensen P. The Auslander-Reiten quiver of a Poincaré duality space. Algebras and Representation Theory 2006, 9(4), 323-336.
• Holm H, Jorgensen P. Cotorsion pairs induced by duality pairs. Journal of Commutative Algebra 2009, 1(4), 621-633.
• Holm T, Jorgensen P. On the relation between cluster and classical tilting. Journal of Pure and Applied Algebra 2010, 214(9), 1523-1533.
• Holm T, Jorgensen P, Rouquier R, ed. Triangulated categories. Cambridge: Cambridge University Press, 2010.
• Holm T, Jorgensen P. Triangulated categories: Definitions, properties and examples. In: Holm, T; Jorgensen, P; Rouquier, R, ed. Triangulated Categories. Cambridge: Cambridge University Press, 2010, pp.1-51.
• Jorgensen P. Auslander-Reiten triangles in subcategories. Journal of K-Theory 2009, 3(3), 583-601.
• Jorgensen P. Calabi-Yau categories and Poincaré duality spaces. In: Skowronski, A, ed. Trends in representation theory of algebras and related topics. Zürich: European Mathematical Society Publishing House, 2008, pp.399-431.
• Holm H, Jorgensen P. Covers, precovers, and purity. Illinois Journal of Mathematics 2008, 52, 691-703.
• Jorgensen P. Finite Cohen-Macaulay type and smooth non-commutative schemes. Canadian Journal of Mathematics 2008, 60(2), 379-390.
• Frankild AJ, Jorgensen P. Homological properties of cochain Differential Graded algebras. Journal of Algebra 2008, 320(8), 3311-3326.
• Holm H, Jorgensen P. Cohen-macaulay homological dimensions. Rendiconti del Seminario Matematico della Università di Padova 2007, 117, 87-112.
• Holm H, Jorgensen P. Compactly generated homotopy categories. Homology, Homotopy and Applications 2007, 9(1), 257-274.
• Jorgensen P. Auslander-Reiten sequences on schemes. Arkiv för Matematik 2006, 44(1), 97-103.
• Jorgensen P. Recollement for Differential Graded Algebras. Journal of Algebra 2006, 299(2), 589-601.
• Holm H, Jorgensen P. Semidualizing modules and related Gorenstein homological dimensions. Journal of Pure and Applied Algebra 2006, 205(2), 423-445.
• Jorgensen P. Symmetry theorems for Ext vanishing. Journal of Algebra 2006, 301(1), 224-239.
• Jorgensen P. A non-commutative BGG correspondence. Pacific Journal of Mathematics 2005, 218(2), 357-377.
• Jorgensen P. Ext vanishing and infinite Auslander-Buchsbaum. Proceedings of the American Mathematical Society 2005, 133(5), 1335-1341.
• Jorgensen P. Finite flat and projective dimension. Communications in Algebra 2005, 33(7), 2275-2279.
• Jorgensen P, Frankild A. Affine equivalence and Gorensteinness. Mathematica Scandinavica 2004, 95(1), 5-22.
• Jorgensen P. Linear free resolutions over non-commutative algebras. Compositio Mathematica 2004, 140(4), 1053-1058.
• Jorgensen P, Frankild A, Iyengar S. Dualizing Differential Graded modules and Gorenstein Differential Graded Algebras. Journal London Mathematical Society 2003, 68(2), 288-306.
• Jorgensen P, Frankild A. Gorenstein Differential Graded Algebras. Israel Journal of Mathematics 2003, 135, 327-353.
• Jorgensen P. Recognizing dualizing complexes. Fundamenta Mathematicae 2003, 176, 251-259.
• Jorgensen P. Triangulated functors, homological functors, tilts, and lifts. Manuscripta Mathematica 2003, 110(3), 381-406.
• Jorgensen P, Frankild A. Foxby equivalence, complete modules, and torsion modules. Journal of Pure and Applied Algebra 2002, 174(2), 135-147.
• Jorgensen P. Non-commutative curves and their zeta functions. Journal of Algebra and its Applications 2002, 1, 175-199.
• Jørgensen P. Non-commutative Castelnuovo-Mumford regularity. Mathematical Proceedings of the Cambridge Philosophical Society 1999, 125(2), 203-221.
• Jorgensen, P. Properties of AS-Cohen-Macaulay algebras. J. Pure Appl. Algebra 1999, 138, 239-249.
• Jorgensen, P. Non-commutative graded homological identities. J. London Math. Soc. (2) 1998, 57, 336-350.
• Jorgensen, P. Local cohomology for non-commutative graded algebras. Comm. Algebra 1997, 25, 575-591.
• Jorgensen, P. Serre-duality for Tails(A). Proc. Amer. Math. Soc 1997, 125, 709-716.
• Jorgensen P, Palu Y. A Caldero-Chapoton map for infinite clusters. Transactions of the American Mathematical Society 2013, 365(3), 1125-1147.
• Holm T, Jorgensen P. Cluster tilting vs. weak cluster tilting in Dynkin type A infinity. Forum Mathematicum 2013. In Press.
• Jorgensen P. Duality for cochain DG algebras. Science China Mathematics 2013, 56(1), 79-89.
• Holm T, Jorgensen P. Realising higher cluster categories of Dynkin type as stable module categories. Quarterly Journal of Mathematics 2013, (epub ahead of print).
• Holm T, Jorgensen P, Yang D. Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object. Bulletin of the London Mathematical Society 2013, 45(1), 120-130.
• Jorgensen P, Pauksztello D. The co-stability manifold of a triangulated category. Glasgow Mathematical Journal 2013, 55(1), 161-175.
• Holm T, Jorgensen P. On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon. Mathematische Zeitschrift 2012, 270(1-2), 277-295.
• Jorgensen P, Kato K. Triangulated subcategories of extensions and triangles of recollements. 2012. Submitted.
• Holm T, Jorgensen P, Rubey M. Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type An. Journal of Algebraic Combinatorics 2011, 34(3), 507-523.
• Jorgensen P, Kato K. Symmetric Auslander and Bass categories. Mathematical Proceedings of the Cambridge Philosophical Society 2011, 150, 227-240.
• Jorgensen P. Duality for cochain DG algebras. 2010. Submitted.
• Jorgensen P. Quotients of cluster categories. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics 2010, 140(1), 65-81.
• Jorgensen P. A new recollement for schemes. Houston Journal of Mathematics 2009, 35(4), 1071-1077.
• Jorgensen P. Finite Cohen-Macaulay type and smooth non-commutative schemes. Canadian Journal of Mathematics 2008, 60(2), 379-390.