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Books
- Joint with Winfried Bruns, Aldo Conca and Claudiu Raicu, Determinants,
Groebner Bases and Cohomology, Springer Monographs in
Mathematics, 2022, Springer Cham. PDF,
Artistic picture by
Sergio Bianco
Articles
Preprints
- Joint
with Alessandro De Stefani, Jonathan Montaño, Luis
Núñez-Betancourt, Lisa Seccia, Ladder determinantal
varieties and their symbolic blowups.
PDF
Published
- Joint
with Hongmiao Yu, Lefschetz duality for local
cohomology, to
appear in J. Algebra. PDF
- Joint
with Hai Long Dao and Linquan Ma, Regularity,
singularities and h-vector of graded algebras,
to
appear in Trans. Amer. Math. Soc..
PDF
- Joint
with Mitra Koley, Groebner deformations and
F-singularities, Math.
Nachr., Volume 296 (2023), pp. 2903-2917. PDF
- Joint
with Bruno Benedetti and Lisa Seccia, Hamiltonian
paths, unit-interval complexes, and determinantal facet
ideals, Adv.
in Appl. Math., Volume 141
(2022), 55 pp. PDF
- Joint
with Winfried Bruns and Aldo Conca, Castelnuovo-Mumford
regularity and powers, Commutative
Algebra, Springer, Cham, 2021, pp. 41-53.
PDF
- Gröbner deformations,
Bull. Unione Mat. Ital.,
Volume 14, no. 1, 2021, pp.151-157. PDF
- Joint with Claudia Polini, Claudiu Raicu and Marc Walker, Recent
developements in Commutative Algebra, Lecture
Notes in Mathematics 2283, 2021, Springer Cham.
- Joint with Parvaneh Nadi, CCM
property and Lyubeznik numbers under Groebner deformations,
Rendiconti dell'Istituto di
Matematica dell'Università di Trieste, Volume 52, 2020,
Pages 1-11. PDF
- Joint with Alexandru Constantinescu and Emanuela De Negri, Singularities
and radical initial ideals, Bull.
Lond. Math. Soc. Volume 52, Issue 4, 1 August 2020,
Pages 674-686. PDF
- Joint with Aldo Conca, Square-free
Groebner degenerations, Invent.
Math. Volume 221, Issue 3, 1 September 2020, Pages
713-730. PDF
- Connectivity of hyperplane
sections of domains, Comm.
Algebra,
Volume 47, Issue 6, 3 June 2019, Pages 2540-2547, special
issue - deticated to professor Gennady Lyubeznik on the
occasion of hibirthday. PDF
- Joint with Alexandru Constantinescu and Thomas Kahle, Linear
syzygies, hyperbolic Coxeter groups and regularity, Compositio
Math. Vol. 155 (2019), pp. 1076-1097.
PDF
- Joint with Rahim Zaare-Nahandi, Simplicial
complexes of small codimension, Proc.
Amer. Math. Soc., Vol. 147 (2019), pp. 3347-3355. PDF
- Joint with Giulio Caviglia, Marc Chardin, Jason
McCullough and Irena Peeva, Regularity
of prime ideals, Math.
Z., Vol. 291 (2019), pp. 421-435. PDF
- Joint with Michela Di Marca, On
the diameter of an ideal, J.
Algebra, Vol.
511 (2018), pp. 471-485. PDF
- Joint with Aldo Conca, Mostafazadehfard Maral, Anurag K.
Singh, Hankel
determinantal rings have rational singularities, Adv.
Math., Vol. 335 (2018), pp. 111-129. PDF
- Joint with Bruno Benedetti and Michela Di Marca, Regularity
of line configurations, J.
Pure Appl. Algebra,
Vol. 222 (2018), pp. 2596-2608.
PDF
- Joint with Maria-Laura Torrente, Computing
the Betti table of a monomial ideal: a reduction algorithm,
J. Symb. Comp., Vol. 87
(2018), pp. 87-98. PDF
- F-thresholds, integral
closure and convexity, Springer
INdAM Series, Vol. 20 (2017), "Homological and
Computational Methods in Commutative Algebra", pp. 249-256. PDF
- Joint with Anurag K. Singh and Shunsuke Takagi, A
Gorenstein criterion for strongly F-regular and log terminal
singularities, Int.
Math. Res. Not. IMRN 2017, no. 21, pp.
6484-6522. PDF
- Joint with Bruno Benedetti and Barbara Bolognese, Regulating
Hartshorne's connectedness theorem, J.
Algebraic Combin.,
Vol. 46 (2017), pp. 33-50. PDF
- Joint with Alexandru Constantinescu and Thomas Kahle, Linear
syzygies, flag complexes, and regularity, Collect.
Math., Vol. 67 (2016), pp. 357-362. PDF
- Joint
with Ines B. Henriques, Test,
multiplier and invariant ideals, Adv.
Math., Vol. 287
(2016), pp. 704-732. PDF
- Joint
with Le Dinh Nam, When
does depth stabilize early on?, J.
Algebra, Vol. 445 (2016), pp. 181-192.
PDF
- Joint
with Jürgen Herzog and Leila Sharifan,
An intriguing ring structure on the set of d-forms,
MSRI
Publication, Vol. 68 (2015), "Commutative Algebra and
Noncommutative Algebraic Geometry", pp. 231-244. PDF
- Joint
with Alexandru Constantinescu,
h-vectors of matroid
complexes,
Springer INdAM Series,
Vol. 12 (2015) "Combinatorial Methods in Topology and
Algebra", pp. 203-226.
PDF
- A special feature of
quadratic monomial ideals.
Springer INdAM Series,
Vol. 12 (2015) "Combinatorial Methods in Topology and
Algebra", pp. 137-142.PDF
- Joint with Karim Adiprasito, Afshin Goodarzi, Connectivity
of pseudomanifold graphs from an algebraic point of view, C.
R. Math. Acad. Sci. Paris,
Vol. 353 (2015), pp. 1061-1065.
PDF
- Joint
with Bruno Benedetti, On the
dual graph of a Cohen-Macaulay algebra.
Int. Math. Res. Not. IMRN
2015, no. 17, pp. 8085-8115. PDF
- Joint
with Winfried Bruns and Aldo Conca, Maximal
minors and linear powers, J.
Reine Angew. Math., Vol. 702 (2015), pp. 41-53.
PDF
- Joint with Jack Jeffries and Jonathan Montaño, Multiplicities
of Classical Varieties,
Proc. Lond. Math. Soc.,
Vol 110 (2015), pp. 1033-1055.
PDF
- Joint with Giulio Caviglia, Componentwise
Regularity (I),
J.
Pure Appl. Algebra,
Vol. 219 (2015), pp. 175-182.
PDF
- Joint with Lance E. Miller and Anurag K. Singh, The
F-pure threeshold of a determinantal idal,
Bull. Braz. Math. Soc.,
special issue - deticated to professors Steven Kleiman and
Aron Simis on the occasion of their 70th birthdays, Vol. 45
(2014), pp. 767-775.
PDF
- Joint with Winfried Bruns, Partitions
of single exterior type,
to appear in Transform.
Groups,
Vol.
19 (2014), pp. 969-978.
PDF
- Joint with Giulio Caviglia and Alexandru Constantinescu,
On a conjecture of Kalai, Israel
J. Math., Vol. 204 (2014), pp. 469-475.
PDF
- Joint with Alexandru Constantinescu and Thomas Kahle, Generic
and special constructions of pure O-sequences, Bull.
Lond. Math. Soc., Vol. 46 (2014), pp. 924-942.PDF
- Joint
with Jürgen Herzog and Leila Sharifan,
The possible extremal Betti numbers of a homogeneous ideal,
Proc.
Amer. Math. Soc.
Vol. 142 (2014), pp. 1875-1891. PDF
- Cohomological
and projective dimensions, Compositio
Math., Vol.
149 (2013), pp. 1203-1210. PDF
- Joint
with Winfried Bruns and Aldo Conca, Relations
between the minors of a generic matrix, Adv.
Math., Vol. 244 (2013), pp. 171-206. PDF
- Joint
with Alexandru Constantinescu,
On the h-vectors of Cohen-Macaulay flag complexes, Math.
Scand., Vol. 112 (2013), pp. 86-111. PDF
- On
the arithmetical rank of certain Segre embeddings, Trans.
Amer. Math. Soc., Vol. 364 (2012), pp. 5091-5109. PDF
- Joint
with Le Dinh Nam, Cohen-Macaulayness
of generically complete intersection ideals, Comm.
Algebra, Vol. 40 (2012), pp. 931-945. PDF
- Joint
with Alexandru Constantinescu,
Koszulness, Krull dimension and other properties of
graph-related algebras, J.
Algebraic Combin., Vol. 34 (2011), pp. 375-400.
PDF
- Joint
with Bruno Benedetti,
Unmixed graphs that are domains, Comm.
Algebra, Vol. 39 (2011), pp. 2260-2267.PDF
- Symbolic
powers and matroids,
Proc. Amer. Math. Soc.,
Vol. 139 (2011), pp. 2357-2366. PDF
- Groebner deformations,
connectedness and cohomological dimension, J.
Algebra, Vol. 322 (2009), pp. 2492-2507. PDF
- Joint
with Bruno Benedetti and Alexandru Constantinescu,
Dimension, depth and zero-divisors of the algebra of basic
k-covers of a graph, Matematiche,
Vol. LXIII (2008), pp. 117-156. PDF
- Joint
with Leila Sharifan, Graded
Betti numbers and ideals with linear quotients, Matematiche,
Vol. LXIII (2008), pp. 257-265.
PDF
Other
- Cohomological and
Combinatorial Methods in the Study of Symbolic Powers and
Equations defining Varieties. PhD thesis (2011). PDF
- Joint with Winfried Bruns and Aldo
Conca, Computations with
Young symmetrizers, available online here
(2011)
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