Papers
Splittings of toric ideals of graphs, A. Katsabekis, A. Thoma, submitted.
Self-dual toric varieties, A. Thoma, M. Vladoiu, submitted.
The strongly robust simplicial complex of monomial curves, D. Kosta, A. Thoma, M. Vladoiu, Journal of Algebraic Combinatorics 2024.
Asymptotic behavior of Markov complexity, S. Onn, A. Thoma, M. Vladoiu, Journal of Pure and Applied Algebra, Volume 228, Issue 6, 107589, 2024.
The Markov Complexity of Book Graphs, Ch. Tatakis, A. Thoma, M. Vladoiu, Linear Algebra and Its Applications, (661) 51-78, 2023.
On the strongly robust property of toric ideals, D. Kosta, A. Thoma, M. Vladoiu, Journal of Algebra (616) 1-25, 2023.
On the relative size of Toric bases, Ch. Tatakis, A. Thoma, Journal of Algebra and its Applications, Vol. 21, No. 04, 2250079, 18pp, 2022.
Unboundedness of Markov complexity of monomial curves in $A^n$ for $n\ge 4$, D. Kosta, A. Thoma, Journal of Pure and Applied Algebra, 224, no 6, 106249, 12pp, 2020.
Hypergraph encodings of arbitrary toric ideals, S. Petrovic, A. Thoma, M. Vladoiu, Journal of Combinatorial Theory, Series A, 11-41, 166, 2019.
Bouquet algebra of toric ideals, S. Petrovic, A. Thoma, M. Vladoiu, Journal of Algebra, 493-525, 512, 2018.
Minimal generating sets of Lattice Ideals H. Charalambous, A. Thoma, M. Vladoiu , Collectanea Mathematica, 377-400, 68, 2017.
Binomial fibers and indispensable binomials H. Charalambous, A. Thoma, M. Vladoiu , Journal of Symbolic Computation, 578-591, 74, 2016.
Graver degrees are not polynomially bounded by true circuit degrees, Ch.Tatakis, A.Thoma, Journal of Pure and Applied Algebra, 2658-2665, 219, 2015.
Markov bases and generalized Lawrence liftings H. Charalambous, A. Thoma, M. Vladoiu, Annals of Combinatorics, 661-669, 19, 2015.
Markov complexity of monomial curves H. Charalambous, A. Thoma, M. Vladoiu, Journal of Algebra, 391-411, 417, 2014.
On Complete intersection toric ideals of graphs, Ch.Tatakis, A.Thoma, Journal of Algebraic Combinatorics, 351-370, 38, 2013.
Minimal generators of toric ideals of graphs, E.Reyes, Ch. Tatakis, A.Thoma, Advances in Applied Mathematics, 64-78, 48, 2012.
On the universal Grobner basis of toric ideals of graphs, Ch.Tatakis, A.Thoma, Journal of Combinatorial Theory, Series A, 1540-1548, 118, 2011.
Binomial generation of the radical of a lattice ideal, A.Katsabekis, M. Morales, A.Thoma, Journal of Algebra, 1904-1918, 324, 2010
On the generalized Scarf complex of lattice ideals, H.Charalambous, A.Thoma, Journal of Algebra, 1197-1211, 323, 2010.
Specializations of multigradings and the arithmetical rank of lattice ideals, A. Katsabekis, A.Thoma, Communications in Algebra, 1904-1918, 38, 2010.
On simple A-multigraded minimal resolutions, H.Charalambous, A.Thoma, Contemporary Mathematics, 33-44, 502, 2009.
Minimal systems of binomial generators and the indispensable complex of a toric ideal, H. Charalambous, A. Katsabekis, A.Thoma, Proceedings of the American Mathematical Society, 3443-3451, 135, 2007.
Parametrizations of toric varieties over any field, A.Katsabekis, A.Thoma, Journal of Algebra, 751-763, 308, 2007.
Matchings in simplicial complexes, circuits and toric varieties, A. Katsabekis, A.Thoma, Journal of Combinatorial Theory, Series A, 300-310, 114, 2007.
The geometry of complete intersections toric varieties, N.Michelacakis, A.Thoma, Archiv der Mathematik, 113-123, 87, 2006.
Stanley-Reisner rings and the radicals of Lattice ideals, A.Katsabekis, M. Morales, A.Thoma, Journal of Pure and Applied Algebra, 584-601, 204, 2006.
Complete intersection lattice ideals, M.Morales, A.Thoma, Journal of Algebra, 755-770, 284, 2005.
Toric sets and orbits on Toric varieties, A.Katsabekis, A.Thoma, Journal of Pure and Applied Algebra, 75-83, 181, 2003.
On systems of relations associated to Toric Semigroups, M.Barile, M. Morales, A.Thoma, Queen's Papers in Pure and Applied Mathematics, 1-11, 123, 2002.
Set-Theoretic complete intersections on binomials, M.Barile, M. Morales, A.Thoma, Proceedings of the American Mathematical Society, 1893-1903, 130, 2002.
On Free Complete Intersections, Geometric and Combinatorial Aspects of Commutative Algebra, M.Barile, M. Morales, A. Thoma, Marcel Dekker, 1-11, 2001.
On Simplicial Toric Varieties which are set-theoretic complete intersections, M.Barile, M. Morales, A.Thoma, Journal of Algebra, 880-892, 226, 2000.
Construction of set theoretic complete intersections via semigroup gluing, A.Thoma, Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, 195-198, 41, 2000.
On the Binomial Arithmetical Rank, A.Thoma, Archiv der Mathematik, 22-25, 74, 2000.
Apollonian Cubics an Application of Group Theory to Euclidean Geometry, P.Pamfilos, A.Thoma, Mathematics Magazine, 356-366, 72, 1999.
The Group Z2XZn and Regular Polyonal Paths, A.Thoma, American Mathematical Monthly, 840-841, 105, 1998.
Affine semigroup rings and monomial varieties, A.Thoma, Communications in Algebra, 2463-2471, 24, 1996.
On the Set-theoretic Complete Intersection Problem for Monomial Curves in An and Pn, A.Thoma, Journal of Pure and Applied Algebra, 333-344, 104, 1995.
On the Equations Defining Monomial Curves, A.Thoma, Communications in Algebra, 2639-2649, 22, 1994.
On the Arithmetically Cohen-Macaulay Property for Monomial Curves, A. Thoma, Communications in Algebra, 805-821, 22, 1994.
On Set Theoretic Complete Intersections in P3, A.Thoma, Manuscripta Mathematica, 261-266, 70, 1991.
Ideal Theoretic Complete Intersections in P3, A.Thoma, Proceedings of the American Mathematical Society, 341-345, 107, 1989.
Monomial Space Curves in P3 as Binomial Set Theoretic Complete Intersections, A.Thoma, Proceedings of the American Mathematical Society, 55-61, 107, 1989