Publications List

   Preprints

1. Sparse handlebody decompositions and non-finiteness of g₃ = 0 (with K. Adiprasito), Sep 2024.
2. Higher-dimensional counterexamples to Hamiltonicity (with M. Pavelka), August 2024.
3. Linear embeddings of contractible and collapsible complexes (with K. Adiprasito), August 2020, work in progress.

   Published

1. Random Simple-Homotopy Theory (with C. Lai, D. Lofano, F.H. Lutz), Journal of Applied and Computational Topology 8 (2024), 531-555.
2. 2-LC manifolds are exponentially many (with M. Pavelka), Annales de l’Institut Henri Poincare D 11 (2024), 363-382.
3. Hamiltonian paths, unit-interval complexes, and determinantal facet ideals (with L. Seccia, M. Varbaro), Advances in Applied Mathematics 141 (2022), P102407. (arxiv)
4. Non-ridge-chordal complexes whose clique complex has shellable Alexander dual (with D. Bolognini), Journal of Combinatorial Theory Ser. A 180 (2021), article 105430. (arxiv)
5. Barycentric subdivisions of convex complexes are collapsible (with K. Adiprasito), Discrete & Computational Geometry 64 (2020), 608-626.
6. A Cheeger-type exponential bound for the number of triangulated manifolds (with K. Adiprasito), Annales de l'Institut Henri Poincare D 7 (2020), 233-247.
7. Collapsibility of CAT(0) spaces (with K. Adiprasito), Geometriae Dedicata 206 (2020), 181-199.
8. Regularity of line configurations (with M. Di Marca and M. Varbaro), J Pure Applied Algebra 222 (2018), 2596-2608.
9. Mogami manifolds, nuclei, and 3D simplicial gravity, Nuclear Physics B 919 (2017), 541-559.
10. Regulating Hartshorne's connectedness theorem (with B. Bolognese and M. Varbaro), Journal of Algebraic Combinatorics 46 (2017), 33-50.
11. Extremal examples of collapsible complexes, and random discrete Morse theory (with K. Adiprasito and F. Lutz), Discrete & Computational Geometry 57, Issue 4 (2017), 824-853.
12. Smoothing Discrete Morse theory, Annali della Scuola Normale Superiore di Pisa Classe di Scienze, Serie V, Vol. XVI, Fasc. 2 (2016), 335-368.
13. On the dual graphs of Cohen-Macaulay algebras (with M. Varbaro), International Mathematics Research Notices (2015), 8085-8115.
14. Subdivisions, shellability, and collapsibility of products (with K. Adiprasito), Combinatorica 37 (2017), 1--30.
15. Tight complexes in 3-space admit perfect discrete Morse functions (with K. Adiprasito), European Journal of Combinatorics 45 (2015), 71-84.
16. The Hirsch conjecture holds for normal flag complexes (with K. Adiprasito), Mathematics of Operations Research 39, Issue 4 (2014), 1340-1348. Preprint
17. Random discrete Morse theory and a new library of triangulations (with F. H. Lutz), Experimental Mathematics, Vol. 23, Issue 1 (2014), 66-94.
18. Knots in collapsible and non-collapsible balls (with F. H. Lutz), Electronic Journal of Combinatorics 20 (2013), No.3, Paper P31, 29 pages.
19. Discrete Morse Theory for Manifolds with Boundary. Transactions of the American Mathematical Society 364 (2012), 6631-6670.
20. On locally constructible spheres and balls (with G. M. Ziegler). Acta Mathematica 206 (2011), 205-243. Preprint.
21. Collapses, products and LC manifolds, Journal of Combinatorial Theory Ser. A 118 (2011), 586-590.
22. Unmixed Graphs that are domains (with M. Varbaro). Communications in Algebra 39 (2011), 2260-2267.
    
23. Dimension, depth and zero-divisors of the algebra of basic k-covers of a graph (with A. Constantinescu, M. Varbaro),  Le Matematiche 63(2008), 117-156.

   Extended abstracts:

1. Balinski's theorem for arrangements of curves. Oberwolfach Reports  12, Issue 1 (2015), 293-296.
2. Metric Geometry and Random Discrete Morse Theory. Oberwolfach Reports 9, Issue 2 (2012),  1456-1459.
3. Non-evasiveness, collapsibility, and explicit knotted triangulations. Oberwolfach Reports 8, Issue 1 (2011),  403-405.
4. Knot theory and robot arms. Oberwolfach Reports 7, Issue 4 (2010),  2732-2735.

   On the History of Science:

1. Gli Archivi della Scienza. Genova, Erga, 2001, 576 pages (with Amedeo Benedetti). This is a complete guide to all institutions, archives and museums of scientific relevance and interest in the Italian state.
   
2. L'Accademia delle Scienze di Berlino e la sua Biblioteca. Biblioteche Oggi 26 (2008), 41-47. This is an article about the Prussian Academy of Sciences, founded by Leibniz in 1700, and its precious library. The article was published by a librarianship magazine.

   Online projects:

1. The Library of Triangulations (work in progress with Frank Lutz)
2. The dunce hat in a minimal non-extendably collapsible 3-ball (with F. H. Lutz). Electronic Geometry Models , No. 2013.10.001 (2013).
   

   PhD Thesis:

1. On locally constructible manifolds (Berlin, 2010).