Research

I have a background in abstract topology and algebraic combinatorics. My research interests are the following:

• Topological data analysis.
• Pattern avoidance.
• Combinatorics and topology of partially ordered sets.
• Bijective combinatorics.
• Abstract topology

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Peer-reviewed publications

Journals

• M. Kallipoliti, R. Sulzgruber and E. Tzanaki, Patterns in Shi tableaux and Dyck paths, Order (2021).

• M. Kallipoliti and E. Tzanaki, Bijections between generalized Catalan families of types A and C, Discrete Mathematics, Vol. 341, (2018) pp. 248-264.

• C.A. Athanasiadis and M. Kallipoliti, Edgewise Cohen-Macaulay connectivity of partially ordered sets, Mathematica Scandinavica, Vol. 122, (2018) pp. 5-17.

• M. Kallipoliti and H. Mühle, The m-Cover Posets and their Applications, Advances in Applied Mathematics, Vol. 69, (2015) pp.65-108.

• S. Fishel, M. Kallipoliti and E. Tzanaki, Facets of the Generalized Cluster Complex and Regions in the Extended Catalan Arrangement of Type A, Electronic Journal of Combinatorics, Vol. 20, Issue 4, (2013).

• M. Kallipoliti and H. Mühle, On the topology of the Cambrian Semilattices, Electronic Journal of Combinatorics, Vol. 20, Issue 2, (2013).

• M. Kallipoliti and M. Kubitzke, A poset fiber theorem for doubly Cohen-Macaulay posets and its applications, Annals of Combinatorics, Vol. 17, Issue 4, (2013), pp. 711-731.

• M. Kallipoliti, The absolute order on the hyperoctahedral group, Journal of Algebraic Combinatorics, Vol. 34, No. 2, (2011), 183-211.

• C.A. Athanasiadis and M. Kallipoliti, The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes, Journal of Combinatorial Theory Series A, Vol. 115, (2008), pp. 1286–1295.

• M. Kallipoliti and P. Papasoglu, Simply connected homogeneous continua are not separated by arcs, Topology and its Applications, Vol. 154, Issue 17, (2007), pp. 3039–3047.

Conference proceedings

• M. Kallipoliti and E. Tzanaki, Bijections of dominant regions in the m-Shi arrangements of type A, B and C, in Proceedings of FPSAC 2015, Discr. Math. Theoret. Comput. Science, (2015), pp. 595–606.

• M. Kallipoliti and H. Mühle, The m-Cover Posets and the Strip-Decomposition of m-Dyck Paths, in Proceedings of FPSAC 2014, Discr. Math. Theoret. Comput. Science, (2014), pp. 393–404.

• M. Kallipoliti and H. Mühle, On the topology of the Cambrian Semilattices, in Proceedings of FPSAC 2013, Discr. Math. Theoret. Comput. Science, (2013), pp. 545–556.

• M. Kallipoliti and M. Kubitzke, Double homotopy Cohen-Macaulayness for the poset of injective words and the classical NC-partition lattice, in Proceedings of FPSAC 2011, Discr. Math. Theoret. Comput. Science, (2011), pp. 575-586.

• M. Kallipoliti, The absolute order on the hyperoctahedral group, in Proceedings of FPSAC 2009, Discr. Math. Theoret. Comput. Science, (2009), pp. 503–514.

Book chapter

• M. Kallipoliti and H. Mühle, On the Topology of the Cambrian Semilattices, Combinatorial Methods in Topology and Algebra, Springer INdAM Series, Volume 12 (2015), pp. 97-101.

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Unpublished

• M. Kallipoliti and P. Papasoglu, A new topological characterization of the plane.