Subject: | Algebra-Geometry |
Degree: | Department of Mathematics, University of Athens, Greece. |
PhD: | Department of Mathematics, University of Bonn, Germany. PhD Thesis: «Enumerative Combinatorics of Invariants of Certain Complex Threefolds with Trivial Canonical Bundle» |
Research Interests: | Commutative Algebra, Discrete and Algebraic Geometry, and Algebraic Topology |
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E-mail: | ddais@uth.gr |
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Dimitrios Dais received his Mathematics degree from the Department of Mathematics of the National and Kapodistrian University of Athens, and his PhD from the Department of Mathematics of the University of Bonn. His research interests lie in Commutative Algebra, Discrete and Algebraic Geometry, and Algebraic Topology.
He was a fellow of the European Union at the Technical University of Berlin (1995), a fellow of the German Research Foundation (DFG) at the University of Bochum (1995), a visiting researcher at the IHES Institute in Paris (1996), and a DFG fellow at the University of Bonn (1996–1997).
He has taught at the Departments of Mathematics of the Universities of Tübingen (as a scientific collaborator, 1997–1998), Ioannina (as a visiting researcher, 1999–2001), Cyprus (as an assistant professor, 2002–2003), and Crete (as an associate and later full professor, 2004–2025). In July 2025, he moved to the Department of Mathematics of the University of Thessaly.
He has authored a significant number of articles in peer-reviewed international scientific journals and has given talks at international conferences. Additionally, he co-organized the Euroconference “Algebraic and Geometric Combinatorics”, and co-edited the proceedings of this conference, published in volume 423 of the Contemporary Mathematics series of the American Mathematical Society.
- V.V. Batyrev & D.I. Dais: Strong McKay Correspondence, String-Theoretic Hodge Numbers and Mirror Symmetry. Topology 35 (1996), no. 4, 901-929.
- D.I. Dais, M. Henk & G.M. Ziegler: All Abelian Quotient C.I.-Singularities Admit Projective Crepant Resolutions in All Dimensions, Advances in Mathematics 139 (1998), no. 2, 194-239.
- D.I. Dais, C. Haase & G.M. Ziegler: All Toric Local Complete Intersection Singularities Admit Projective Crepant Resolutions. Tohoku Math. J. (2) 53 (2001), no. 1, 95-107.
- D.I. Dais: On the String-Theoretic Euler Number of a Class of Absolutely Isolated Singularities. Manuscripta Mathematica 105 (2001), no. 2, 143-174.
- D.I. Dais: Resolving 3-dimensional Toric Singularities. In “Geometry of Toric Varieties”, Sémin. Congr. 6., Soc. Math. France, Paris, 2002, 155-186.
- D.I. Dais & M. Henk: On the Equations Defining Toric L.C.I.-Singularities, Transactions of the Am. Math. Soc. 355 (2003), no. 12, 4955-4984.
- D.I. Dais, M. Henk & G.M. Ziegler: On the Existence of Crepant Resolutions of Gorenstein Abelian Quotient Singularities in Dimensions ≥ 4, Contemporary Mathematics, Vol. 423, American Math. Soc., 2006, pp. 125-194.
- D.I. Dais: On the Twelve-Point Theorem for 𝓁-Reflexive Polygons, The Electronic Journal of Combinatorics, 26 (2019), no 4., paper 4.29, 75 pp.
- D.I. Dais: Toric Log Del Pezzo Surfaces with One Singularity, Advances in Geometry 20 (2020), no. 1, 121-138.