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1. Gorenstein rings and Kustin--Miller unprojection, Univ. of Warwick PhD thesis,
Aug 2001, pp. vi + 73, pdf file
2. Kustin-Miller unprojection with complexes, J. Algebraic Geometry
13 (2004) 249-268, arXiv προδημοσίευση arXiv:math/0111195v1 [math.AG]
3. (joint with Miles Reid) Kustin-Miller unprojection without complexes,
J. Algebraic Geometry 13 (2004) 563-577, arXiv preprint arXiv:math/0011094v2 [math.AG]
4. Remarks on Type III unprojection, Communications in Algebra
34 (2006) 313-321, arXiv preprint arXiv:math/0501535v1 [math.AG]
5. Type II unprojection, J. Algebraic Geometry 15 (2006) 399-414,
arXiv preprint arXiv:math/0501534v1 [math.AG]
6. Towards a general theory of unprojection, J. of Mathematics of Kyoto Univ.
47 (2007), 579-598, arXiv preprint arXiv:math/0608158v1 [math.AG]
7. The equations of type II_1 unprojection, J. Pure Appl. Algebra 212 (2008) 2194-2208,
preprint
8. (joint with Jorge Neves) A construction of numerical Campedelli surfaces with torsion \Z/6,
Trans. Amer. Math. Soc. 361 (2009) 4999-5021, arXiv preprint arXiv:0707.0244v1 [math.AG]
9. (joint with Christian Liedtke) Birational modifications of surfaces via unprojections,
J. of Algebra 323 (2010) 2510-2519, arXiv preprint arXiv:0904.4204v2 [math.AG]
10. (joint with Janko Boehm) On the structure of Stanley-Reisner rings associated to cyclic polytopes,
Osaka J. Math. 49 (2012) 81-100, arXiv preprint arXiv:0912.2152v2 [math.AC]
11. (joint with Janko Boehm) Implementing the Kustin-Miller complex construction, The Journal of Software
for Algebra and Geometry 4 (2012) 6-11, arXiv preprint arXiv:1103.2314v1 [math.AC]
12. (joint with Bart Van Steirteghem) Equivariant degenerations of spherical modules for groups of type A,
Ann. Inst. Fourier (Grenoble) 62 (2012) 1765-1809, arXiv preprint arXiv:1008.0911v3 [math.AG]
13. (joint with Jorge Neves) Parallel Kustin-Miller unprojection with an application to Calabi--Yau geometry,
Proc. London Math. Soc. 106 (2013) 203-223, arXiv preprint arXiv:0903.1335v2 [math.AG]
14. (joint with Janko Boehm) Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes,
Australasian J. of Combinatorics 55 (2013) 235-247, arXiv preprint arXiv:0912.2151v2 [math.AC]
15. (joint with Janko Boehm) Bounds for the Betti numbers of successive stellar subdivisions of a simplex,
Hokkaido Mathem. Journal 44 (2015) 341-364, arXiv preprint arXiv:1212.4358v1 [math.AC]
16. (joint with Bart Van Steirteghem) Equivariant Degenerations of Spherical Modules: Part II,
Algebr. Represent. Theory, 19 (2016) 1135-1171, arXiv preprint arXiv:1505.07446v2 [math.AG]
17. (joint with Janko Boehm) Weak Lefschetz Property and Stellar Subdivisions of Gorenstein Complexes,
Australasian J. of Combinatorics 76 (2020) 266-287, arXiv preprint arXiv:1501.01513 [math.AC]
18. (joint with Vasiliki Petrotou) The characteristic 2 anisotropicity of simplicial spheres,
arXiv preprint arXiv:2012.09815 [math.AC]
19. (joint with Vasiliki Petrotou) The generic anisotropy of simplicial 1-spheres,
Israel J. of Mathem. 254 (2023) 141-153, pdf file
20. (joint with Karim Adiprasito and Vasiliki Petrotou) Anisotropy, biased pairings, and
the Lefschetz property for pseudomanifolds and cycles, arXiv preprint arxiv:2101.07245 [math.CO]
21. (joint with Karim Adiprasito, Vasiliki Petrotou and Johanna Kristina Steinmeyer)
Beyond positivity in Ehrhart Theory, arXiv preprint arxiv:2210.10734 [math.CO]
22. (joint with Karim Adiprasito and Vasiliki Petrotou) The volume intrinsic to a commutative
graded algebra, arXiv preprint arxiv:2407.11916 [math.CO]
23. (joint with Nsibiet E. Udo, Praise Adeyemo and Balázs Szendrői) Ideals, representations and
a symmetrised Bernoulli triangle, Beitr. Algebra Geom. (2025). https://doi.org/10.1007/s13366-025-00796-9
arXiv preprint arxiv:2409.10278 [math.AC]
24. (joint with Karim Adiprasito and Vasiliki Petrotou) Lattice polytopes and semigroup algebras:
Generic Lefschetz properties and Parseval-Rayleigh identities, arXiv preprint arxiv:2509.14152 [math.CO]
25. (joint with Karim Adiprasito, Ryoshun Oba and Vasiliki Petrotou) Parseval-Rayleigh identities
for homogeneous complete intersections, arXiv preprint arxiv:2511.05288 [math.AC]
1. Link to Macaulay2 computer algebra code for the paper: The equations of type II_1 unprojection
2. Link to Macaulay2 computer algebra code for the paper: On the structure of Stanley-Reisner rings associated to cyclic polytopes
3. Link to Macaulay2 computer algebra code for the paper: Implementing the Kustin-Miller complex construction
4. Link to Macaulay2 computer algebra code for the paper: Bounds for the Betti numbers of successive stellar subdivisions of a simplex
5. Link to Macaulay2 computer algebra code for the paper: The characteristic 2 anisotropicity of simplicial spheres
Contact address:
Dept. of Mathematics
Univ. of Ioannina
45110 Ioannina
GREECE
Email: spapadak@uoi.gr