Publications and preprints

16. The toric locus of a reaction network is a smooth manifold

(Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea)

arXiv:2309.15241 [math.DS] (25 pages)

15. Combinatorial study of morsifications of real univariate singularities

(Arnaud Bodin,  Evelia Rosa García Barroso, Patrick Popescu-Pampu, Miruna-Stefana Sorea)

Published in Mathematische Nachrichten, DOI: 10.1002/mana.202300418 

arXiv:2306.04601v2 [math.AG] (23 pages)

14. Poincaré-Reeb graphs of real algebraic domains

(Arnaud Bodin, Patrick Popescu-Pampu, Miruna-Stefana Sorea)

• video at "Real Algebraic Geometry (Géométrie Algébrique Réelle)" Conference, CIRM, Marseille, France, October 2022

Published in Revista Matematica Complutense, DOI: 10.1007/s13163-023-00469-y     

arXiv:2207.06871v2 [math.GT] (31 pages)

13. The disguised toric locus and affine equivalence of reaction networks

(Sabina J. Haque, Matthew Satriano, Miruna-Stefana Sorea, Polly Y. Yu)

Published online in SIADS (SIAM Journal on Applied Dynamical Systems), DOI: 10.1137/22M149853X

arXiv:2205.06629 [math.DS] (20 pages)

12. Symmetrically colored Gaussian graphical models with toric vanishing ideal

(Jane Ivy Coons, Aida Maraj, Pratik Misra, Miruna-Stefana Sorea)

Published online in SIAM Journal on Applied Algebra and Geometry, DOI: 10.1137/21M1466943

arXiv:2111.14817 [math.CO] (28 pages)

11. Families of polytopes with rational linear precision in higher dimension

(Isobel Davies, Eliana Duarte, Irem Portakal, Miruna-Stefana Sorea)

Published online in Foundations of Computational Mathematics, DOI: 10.1007/s10208-022-09583-7

arXiv:2109.08151 [math.CO] (43 pages)

10. Adjoints and canonical forms of polypols

 (Kathlén Kohn, Ragni Piene, Kristian Ranestad, Felix Rydell, Boris Shapiro, Rainer Sinn, Miruna-Stefana Sorea, Simon Telen)

Cite as: arXiv:2108.11747 [math.AG]  (67 pages)

9. A generalization of the space of complete quadrics

(Abeer Al Ahmadieh, Mario Kummer, Miruna-Stefana Sorea)

published in Le Matematiche, Vol. LXXVI (2021) – Issue II, pp. 431–446, DOI: 10.4418/2021.76.2.9

arXiv:2011.13830 [math.AG]  (14 pages)

8. The structure of the moduli space of toric dynamical systems of a reaction network

(Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea)

Cite as: arXiv:2008.11468v2 [math.AG]  (32 pages)

7. Disguised toric dynamical systems

(Laura Brustenga i Moncusí, Gheorghe Craciun, Miruna-Stefana Sorea)

published in Journal of Pure and Applied Algebra, Volume 226, Issue 8, August 2022, 107035, DOI: 10.1016/j.jpaa.2022.107035

• video at the Mathematics of Reaction Networks Seminar (Harvard University / Politecnico di Torino / Texas A&M University / University of Vienna), March 2023.

arXiv:2006.01289 [math.AG]  (27 pages)

6. Exact solutions in log-concave maximum likelihood estimation

(Alexandros Grosdos, Alexander Heaton, Kaie Kubjas, Olga Kuznetsova, Georgy Scholten, Miruna-Stefana Sorea)

published in Advances in Applied Mathematics, Volume 143, February 2023, 102448, DOI: 10.1016/j.aam.2022.102448

arXiv:2003.04840 [math.ST]  (29 pages)

5. A quadratic identity in the shuffle algebra and a new proof for de Bruijn's formula 

(Laura Colmenarejo, Joscha Diehl, Miruna-Stefana Sorea)

published in the European Journal of Combinatorics, Volume 99, January 2022, 103406, DOI: 10.1016/j.ejc.2021.103406

arXiv:2003.01574 [math.RA]  (25 pages)

4. Permutations encoding the local shape of level curves of real polynomials via generic projections

(Miruna-Stefana Sorea)

published in Annales de l'Institut Fourier, Volume 72 (2022) no. 4, pp. 1661-1703, DOI: 10.5802/aif.3479

arXiv:1910.12790 [math.AG]  (33 pages)

3. On the eigenpoints of cubic surfaces 

(Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni, Miruna-Stefana Sorea)

published in Le Matematiche, Vol. LXXV (2020) – Issue II, pp. 611–625, DOI: 10.4418/2020.75.2.13

arXiv:1909.06261 [math.AG]  (15 pages)

See Macaulay2 and Magma code for the paper here.

2. Measuring the local non-convexity of real algebraic curves

(Miruna-Stefana Sorea)

published in Journal of Symbolic Computation, Volume 109, March–April 2022, Pages 482-509 (special issue MEGA 2019), DOI: 10.1016/j.jsc.2020.07.017

arXiv:1907.08585 [math.AG]  (32 pages)

1. Constructing separable Arnold snakes of Morse polynomials

(Miruna-Stefana Sorea)

published in Portugaliae Mathematica, Volume 77, Issue 2, 2020, pp. 219–260, DOI: 10.4171/PM/2050

arXiv:1904.04904 [math.AG]  (35 pages)

In preparation:

17. Realising separable snakes near a strict local minimum of a real bivariate polynomial function