Research and Publications

New!!!

• Distance Reducing Markov Bases

Co-authors: Oliver Clarke

     https://arxiv.org/abs/2406.17730

Refereed Publications

• The strongly robust simplicial complex of monomial curves, Journal of Algebraic Combinatorics 

Co-authors: Apostolos Thoma, Marius Vladoiu

     https://arxiv.org/abs/2305.11743

•  Embeddability of centrosymmetric matrices capturing the double-helix structure in natural and synthetic DNA 

     Co-authors: M. Ardiyansyah, J. Roca-Lacostena, Journal of Mathematical Biology (2023) 86, article number: 69.

DOI: 10.1007/s00285-023-01895-8    https://arxiv.org/abs/2202.05889

• On the strongly robustness property of toric ideals

Co-authors: Apostolos Thoma, Marius Vladoiu, Journal of Algebra (2022), 616, p.1-25.

DOI: 10.1016/j.jalgebra.2022.11.002  https://arxiv.org/abs/2206.03121

•  The model-specific Markov embedding problem for symmetric group-based models

Co-authors: M. Ardiyansyah, K. Kubjas, Journal of Mathematical Biology (2021) 83, article number: 33.

DOI: 10.1007/s00285-021-01656-5     https://arxiv.org/abs/2005.07171

•  Maximum likelihood estimation of toric Fano varieties

Co-authors: C. Amendola, K. Kubjas,  new MSP journal Algebraic Statistics (2020),  11(1):5–30.

DOI: 10.2140/astat.2020.11.5 https://arxiv.org/abs/1905.07396

•  Unboundedness of Markov complexity of monomial curves in A^n for n≥4

Co-author: A. Thoma, Journal of Pure and Applied Algebra (2020), Volume 224, Issue 6

DOI 10.1016/j.jpaa.2019.106249   https://arxiv.org/abs/1809.09932

• Maximum Likelihood Estimation of Symmetric Group-Based Models via Numerical Algebraic Geometry

Co-author: K. Kubjas, Bull. Math. Biology (2019), Vol. 81(2), p. 337-360: Special Issue Algebraic Methods in Phylogenetics.

DOI 10.1007/s11538-018-0523-2 https://arxiv.org/abs/1705.09228

• Computing alpha-invariants of singular del Pezzo surfaces

Co-author: I. Cheltsov, Journal of Geometric Analysis (2014), Vol. 24, p. 798-842.

DOI 10.1007/S12220-012-9357-6

• Factoriality of complete intersection threefolds

Proceedings of the Steklov Institute of Mathematics (2009), Vol. 264, p.102-109.

DOI 10.1134/S0081543809010131

• Factoriality condition of some nodal threefolds in P4

Manuscripta Mathematica, Springer Berlin / Heidelberg (2008), Vol. 127, p.151-166.

DOI 10.1007/s00229-008-0197-4