Publications

Research and expository papers:
  1. Marian Aprodu, Andrea Bruno, Edoardo Sernesi. A characterization of bielliptic curves by syzygy schemes, work in progress.
  2. Marian Aprodu, Sukmoon Huh, Francesco Malaspina, Joan Pons-Llopis. Ulrich bundles on smooth projective varieties of minimal degree, preprint arXiv:1705.07790. link
  3. Marian Aprodu, Laura Costa, Rosa Maria Miro-Roig. Ulrich bundles on ruled surfaces. J. Pure Appl. Algebra, to appear. link
  4. Marian Aprodu, Laura Costa, Rosa Maria Miro-Roig. Rank two vector bundles on non-minimal ruled surfaces. Transactions of the American Math. Soc., to appear. link
  5. Marian Aprodu, Gavril Farkas, Angela Ortega. Minimal resolutions, Chow forms of K3 surfaces and Ulrich bundles. Journal für die reine und angew. Mathematik, to appear. link
  6. Marian Aprodu, Yeongrak Kim. Ulrich line bundles on Enriques surfaces with a polarization of degree four. Ann. U. Ferrara, 63:1 (2017) 9-23, volume dedicated to the memory of A. Lascu. link
  7. Marian Aprodu, Edoardo Sernesi. Excess dimension for secant loci in symmetric products of curves. Collectanea Math., 68:1 (2017) 1-7. link
  8. Marian Aprodu, Gavril Farkas, Angela Ortega. Restricted Lazarsfeld-Mukai bundles and canonical curves. Advanced Studies in Pure Mathematics (Math. Soc. Japan) 69 (2016) 303-322, Development of Moduli Theory, volume on the occasion of Mukai's 60th birthday. link
  9. Marian Aprodu, Luigi Lombardi. On the vanishing of Koszul cohomology of abelian varieties. Bull. London Math. Soc. 48:2 (2016) 280-290. link
  10. Marian Aprodu, Marius Marchitan. Prioritary omalous bundles on Hirzebruch surfaces. Journal of Geom. and Physics 99 (2016) 1-9. link
  11. Marian Aprodu, Edoardo Sernesi. Secant spaces and syzygies of special line bundles on curves. Algebra & Number Theory 9:3 (2015) 585-600. link
  12. Monica Alice Aprodu, Marian Aprodu. Holomorphic vector bundles on Kaehler manifolds and totally geodesic foliations on Euclidean open domains. Diff. Geometry and its Appl. 39 (2015) 10-19. link
  13. Marian Aprodu. Polynomial equations and vector bundles. On Form and Pattern, Ed. Acad. Române (2015) 77-82.
  14. Marian Aprodu. Ulrich bundles on K3 surfaces. Oberwolfach Reports 11:3 (2014). link
  15. Marian Aprodu. Lazarsfeld-Mukai bundles and applications. II. in: Bridging Algebra, Geometry, and Topology, Springer Proceedings in Mathematics & Statistics, Vol. 96, Ibadula, Denis, Veys, Willem (Eds.) 2014, 11-20 (Proceedings of the Conference "Experimental and Theoretical Methods in Algebra, Geometry and Topology", Eforie Nord, June 21-24, 2013). link
  16. Marian Aprodu, Matei Toma. Boundedness for some rationally connected threefolds in P6. Comm. in Algebra, 42:9 (2014) 3876-3882. link
  17. Marian Aprodu. Lazarsfeld-Mukai bundles and applications. in: Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 65th birthday. New York, NY: Springer. 1-23, 2013. link
  18. Marian Aprodu, Ruxandra Moraru, Matei Toma. Two-dimensional moduli spaces of vector bundles over Kodaira surfaces. Advances in Math. 231 (2012) 1202-1215. link
  19. Marian Aprodu, Gavril Farkas. Green's Conjecture for general covers. Contemporary Math., AMS, Vol. 564 (2012) 211-226. link
  20. Marian Aprodu, Vasile Brinzanescu, Marius Marchitan. Rank-two vector bundles on Hirzebruch surfaces. Central European J. Math. 10 No. 4 (2012) 1321-1330. link
  21. Marian Aprodu, Marius Marchitan. A note on vector bundles on Hirzebruch surfaces. C. R. Acad. Sci. Paris Ser. I Math. 349, no 11-12 (2011) 687-690. link
  22. Marian Aprodu, Gavril Farkas. Green's Conjecture for curves on arbitrary K3 surfaces. Compositio Math. 147 (2011) 839-851. link
  23. Marian Aprodu, Gavril Farkas. Koszul cohomology and applications to moduli. in: Grassmannians, vector bundles and moduli spaces, Clay Mathematics Proccedings, AMS, Vol. 14 (2011) 25-50. link
  24. Marian Aprodu, Daniel Naie. Enriques diagrams and log-canonical thresholds of curves on smooth surfaces. Geometriae Dedic. 146 (2010) 43-66. link
  25. Marian Aprodu, Vasile Brinzanescu. Beilinson type spectral sequences on scrolls, Moduli spaces and vector bundles. 426-436, London Math. Soc. Lecture Note Ser. 359, Cambridge Univ. Press, Cambridge, 2009. link
  26. Marian Aprodu, Gianluca Pacienza. The Green Conjecture for Exceptional Curves on a K3 Surface. Internat. Math. Res. Notices (IMRN) (2008) nr. 14 Vol. 2008, article ID rnn043, 25 pages - Corrigendum and Addendum, Internat. Math. Res. Notices (2012) nr. 5, 1195-1197. link1 link2
  27. Marian Aprodu, Stefan Kebekus, Thomas Peternell. Galois coverings and endomorphisms of projective varieties. Math. Zeitschrift 260 (2008) no.2, 431-449. link
  28. Marian Aprodu. Brill-Noether theory for curves on K3 surfaces. Contemporary geometry and topology and related topics, 1-12, Cluj Univ. Press, Cluj-Napoca, 2008.
  29. Marian Aprodu, Jan Nagel. Non-vanishing for Koszul cohomology of curves. Commentarii Math. Helvetici 82 No. 3 (2007) 617-628. link
  30. Marian Aprodu. Geometry of curves and Koszul cohomology. Modern trends in geometry and topology, 37-45, Cluj Univ. Press, Cluj-Napoca, 2006.
  31. Marian Aprodu. Remarks on syzygies of d-gonal curves. Mathematical Res. Letters 12 No. 3 (2005) 387-400. link
  32. Marian Aprodu. On Green and Green-Lazarsfeld conjectures for generic d-gonal curves. Oberwolfach Reports No. 7 (2005) 427-430. link
  33. Marian Aprodu. Green-Lazarsfeld gonality conjecture for a generic curve of odd genus. Internat. Math. Res. Notices (IMRN) 63 (2004) 3409-3414. link
  34. Marian Aprodu, Jan Nagel. A Lefschetz type result for Koszul cohomology. Manuscripta Math. 114 (2004) 423-430. link
  35. Marian Aprodu, Matei Toma. Une note sur les fibrés holomorphes non-filtrables. C. R. Acad. Sci. Paris 336 No. 7 (2003) 581-584. link
  36. Marian Aprodu, Claire Voisin. Green-Lazarsfeld's conjecture for generic curves of large gonality. C. R. Acad. Sci. Paris 336 No. 4 (2003) 335-339. link
  37. Marian Aprodu. On the vanishing of higher syzygies of curves. II. Math. Zeitschrift 243 No. 4 (2003) 775-778. link
  38. Marian Aprodu, Vasile Brinzanescu. On the holomorphic rank-2 vector bundles with trivial discriminant over non-Kaehler elliptic bundles. J. Math. Kyoto Univ. (JKYAMZ) 42 No. 4 (2002) 617-623. link
  39. Marian Aprodu, Vasile Brinzanescu, Matei Toma. Holomorphic vector bundles over primary Kodaira surfaces. Math. Zeitschrift 242 No. 1 (2002) 63-73. link
  40. Marian Aprodu. On the vanishing of higher syzygies of curves. Math. Zeitschrift 241 No. 1 (2002) 1-15. link
  41. Monica Alice Aprodu, Marian Aprodu, Vasile Brinzanescu. A class of harmonic maps and minimal submanifolds. International J. Math. 11 No. 9 (2000) 1177-1191. link
  42. Monica Alice Aprodu, Marian Aprodu. Implicitly defined harmonic PHH submersions. Manuscripta Math. 100 (1999) 103-121. link
  43. Marian Aprodu, Vasile Brinzanescu. Moduli spaces of vector bundles over ruled surfaces. Nagoya Math. J. 154 (1999) 111-122. link
  44. Marian Aprodu. An Appell-Humbert theorem for hyperelliptic surfaces. J. Math. Kyoto Univ. (JKYAMZ) 38 No. 1 (1998) 101-121. link
  45. Marian Aprodu, Vasile Brinzanescu. Existence of stable rank-2 vector bundles over ruled surfaces. Collection of papers in memory of Martin Jurchescu. Rev. Roumaine Math. Pures Appl. 43 No. 1-2 (1998) 47-56.
  46. Marian Aprodu, Vasile Brinzanescu. Stable rank-2 vector bundles over ruled surfaces. C. R. Acad. Sci. Paris 325 (1997) 295-300. link
  47. Marian Aprodu, Vasile Brinzanescu. Numerical invariants and stability of 2-vector bundles over ruled surfaces. An. St. Univ. Ovidius Constanta 5 No. 2 (1997) 9-16.
  48. Marian Aprodu, Vasile Brinzanescu. Fibrés vectoriels de rang deux sur les surfaces réglées. C. R. Acad. Sci. Paris 323 (1996) 627-630.

Research monographs:
  1. Marian Aprodu, Jan Nagel. Koszul Cohomology and Algebraic Geometry. University Lecture Series, vol. 52, 2010, AMS, 125 pp, ISBN-10: 0-8218-4964-6, ISBN-13: 978-0-8218-4964-4. link
Textbooks:
  1. Marian Aprodu. Noțiuni de Geometrie Algebrică. Ed. Fundației Univ. "Dunărea de Jos" Galați, 2008, ISBN: 978-973-627-425-1.
  2. Marian Aprodu. Geometria Varietăților Torice. Ed. Acad. Române, 2008, ISBN: 978-973-27-1697-7.
Theses:
  1. Marian Aprodu. Sur quelques problèmes de géométrie complexe (french). Habilitation thesis, Institut Fourier, Grenoble 2002. link file
  2. Marian Aprodu. Fibrate vectoriale pe varietãţi complexe (romanian). PhD thesis, Institutul de Matematicã al Academiei Române, București 1996 (advisor Vasile Brinzanescu). file
Lecture Notes, Talk Slides:

- Curs de geometrie algebrică M2. slides no. 1, slides no. 2, slides no. 3, exercises
- Talk on Ulrich bundles. slides

Paper reviews on MathSciNet.