PRE-PUBLICATION

PUBLICATIONS

1. On the first τ-tilting Hochschild cohomology of an algebra with  Marcelo Lanzilotta, Eduardo N. Marcos, and Andrea Solotar.
   https://arxiv.org/abs/2404.06916
2. Strongly stratifying ideals, Morita contexts and Hochschild homology with  Marcelo Lanzilotta, Eduardo N. Marcos, and Andrea Solotar.  J. of Algebra 639 (2024) 120–149  https://doi.org/10.1016/j.jalgebra.2023.09.044
3. Han's conjecture for bounded extensions with  Marcelo Lanzilotta, Eduardo N. Marcos, and Andrea Solotar J. of Algebra 598 (2022) 48–67 https://doi.org/10.1016/j.jalgebra.2022.01.022
4. Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology with Eduardo N. Marcos J. of Algebra 59 (2022) 117-141  https://doi.org/10.1016/j.jalgebra.2021.10.020
5. Jacobi-Zariski long nearly exact sequences for associative algebras with  Marcelo Lanzilotta, Eduardo N. Marcos, and Andrea Solotar Bull. London Math. Soc. 53 (2021) 1636-1650 https://doi.org/10.1112/blms.12516
6. Han's conjecture and Hochschild homology for null-square projective algebras (with María Julia Redondo and Andrea Solotar) Indiana Univ. Math. J. 70 (2021) 639-668  https://doi.org/10.1512/iumj.2021.70.8402
7. Split bounded extension algebras and Han's conjecture with Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar Pacific J. of Math. 307 (2020) 63-77 .  https://doi.org/10.2140/pjm.2020.307.63
   
8. Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology with Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar Proc. Amer. Math. Soc. 148 (2020),  2421-2432. https://doi.org/10.1090/proc/14936
9. The first Hochschild (co)homology when adding arrows to a bound quiver algebra (with Marcelo Lanzilotta, Eduardo N. Marcos, Sibylle Schroll, Andrea Solotar) J. Algebra 540 (2019) 63-77   https://doi.org/10.1016/j.jalgebra.2019.08.029
   
10. Hochschild cohomology of algebras arising from categories and from bounded quivers (with Marcelo Lanzilotta, Eduardo N. Marcos and Andrea Solotar). https://doi.org/10.4171/jncg/344 J. Noncommut. Geom. 13 (2019) 1011–1053 .  https://doi.org/10.4171/JNCG/344
    
11. Invariants of a free linear category and representation type (with Eduardo Marcos) J. Pure Appl. Algebra 220 (2016) 3119–3132  https://doi.org/10.1016/j.jpaa.2016.02.007
12. The fundamental group of a Hopf linear category (with Andrea Solotar)
    J. Algebra 462 137–162 (2016) https://doi.org/10.1016/j.jalgebra.2016.04.031
13. A finite dimensional algebra of the diagram of a knot  Proc. Amer. Math. Soc. 142  3741–3746 (2014) https://doi.org/10.1090/s0002-9939-2014-12293-3
14. On universal gradings, versal gradings and Schurian generated categories  (with Maria Julia Redondo and Andrea Solotar) J. Noncommut. Geom.  8  1101–1122 (2014)  https://doi.org/10.4171/jncg/180
15. Full and convex linear subcategories are incompressible (with Maria Julia Redondo and Andrea Solotar) Proc. Amer. Math. Soc. 141 1939 - 1946 (2013) https://doi.org/10.1090/s0002-9939-2013-11470-x
16. Fundamental group of Schurian categories and the Hurewicz isomorphism (with Maria Julia Redondo and Andrea Solotar) Documenta Math. 16 581–595 (2011)
17. Galois and universal coverings of linear categories and fibre products (with Maria Julia Redondo and Andrea Solotar) J. of Algebra and its Applications 11 (2012) https://doi.org/10.1142/s0219498811005488
18. The intrinsic fundamental group of a linear category (with Maria Julia Redondo and Andrea Solotar) Algebr. Represent. Theory  15  735-753 (2012)
19. Connected gradings and fundamental group (with Maria Julia Redondo and Andrea Solotar) Algebra Number Theory  4  625--648 (2010)
20. Hopf quivers and Nichols algebras in positive characteristic   (with  Aaron Lauve and Sarah Witherspoon) Proc. Amer. Math. Soc. 137  4029--4041 (2009)
21. Calabi-Yau objects in triangulated categories (with Pu Zhang) Trans. Amer. Math. Soc.  361 6501--6519 (2009)
22. N-complexes as functors, amplitude cohomology and fusion rules (with A. Solotar and R. Wisbauer) Commun. Math. Phys. 272 837–849 (2007)
23. Galois coverings, Morita equivalence and smash extensions of categories over a field (with A. Solotar) Documenta Math. 11  143--159 (2006)
24. Non commutative duplicate of a set J. of Algebra and its Applications 5 361--377 (2006)
25. Skew categories, Galois coverings and smash product of a k-category (with E.N. Marcos) Proc. Amer. Math. Soc. 134 39--50 (2006)
26. Cartan--Leray spectral sequence for Galois coverings of linear categories (with  M.J. Redondo) J. of Algebra 284  310--325 (2005)
27. The first cohomology group of the trivial extension of a monomial algebra (with  M.J. Redondo and M. Saorin ) J. of Algebra and its Applications 3, 143--159 (2004)
28. Cohomology of split algebras and of trivial extensions (with  E. Marcos, M.-J. Redondo and A. Solotar) Glasg. Math. J. 45 21-40 (2003).
29. Hopf quivers (with  M. Rosso) J. of Algebra 254 241-251 (2002).
30. The first cohomology group of an algebra with coefficients (with M. Saorin) J. of Algebra 237 121-141 (2001).
31. On H^1 of finite dimensional algebras Boletin Academia Nacional de Ciencias, Cordoba, Argentina. 65, 2000, 73-80.
32. Hopf bimodules are modules (avec Marc Rosso) J. of Pure and Appl. Algebra 128 225--231 (1998).
33. The projective class ring of basic and split Hopf algebras K-Theory  17  383--391 (1999).
34. Half-quantum groups at roots of unity, path algebras and representation type Internat. Math. Res. Notices 1997:12 541--553 (1997).
35. Tensor product of Hopf bimodules over a group algebra Proc. Amer. Math. Soc.  125 1315--1321 (1997).
36. Hochschild cohomology algebra of abelian groups (with Andrea Solotar) Arch. math. 68 17--21 (1997).
37. Algèbres des chemins quantiques (avec Marc Rosso) Advances in Math. 125 171--199 (1997). 
38. A quiver quantum group Comm. in Math. Physics 157 459--477 (1993).
39. Rigid monomial algebras Math. Ann. 289 95--109 (1991). 
40. Rigidity of truncated quiver algebras Advances in Math. 79 18--42 (1990).
41. Cyclic and Hochschild homology of 2-nilpotent algebras K-Theory 4 131--141 (1990).
42. The zyzygy quiver and the finitistic dimension Comm. in Algebra 21 4167--4171 (1993).
43. Cohomology of incidence algebras and simplicial complexes J. of Pure and Appl. Algebra 56 221--232 (1989).
44. On the Hochschild cohomology of finite dimensional algebras Comm. in Algebra 16 645--649 (1988).
45. 2-nilpotent and rigid finite dimensional algebras J. London Math. Soc. 36 211--218 (1987).
46. Complexes simpliciaux et carquois C.R. Acad. Sci. Paris 307 929--934 (1988).
47. Une famille d'algèbres rigides C.R. Acad. Sci. Paris 309 1--4 (1989). 
48. Représentations modulaires symétriques J. of Algebra 102 537--555 (1986). 
49. Etendre les représentations autoduales Manuscripta Math. 57 477--496 (1987).
50. Groupe de Witt d'une algèbre avec involution Enseign. Math. (2) 29 27--43 (1983).
 

JOURNALS

PUBLICATIONS dans actes et proceedings avec Comité de lecture.

1. Tensor Hochschild homology and cohomology.
   Lecture Notes in Pure and Appl. Math., 210, Dekker, New York, 2000.
2. Hochschild cohomology algebra of radical square zero algebras.
   Algebras and modules II : Eighth International Conference on Representations of Algebras, August 4-10, 1996, Geiranger, Norway. Idun Reiten, Sverre O. Smalo, Oyvind Solberg, editors.
   CMS Conference proceedings, vol. 24,  93--101 (1998).
3. Hochschild homology of an algebra whose quiver has no oriented cycles.
   Representation theory, I (Ottawa, Ont., 1984), 55--59,
   Lecture Notes in Math., 1177, Springer, Berlin-New York, (1986).
4. Extending selfdual modules.
   The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), 409--411,
   Proc. Sympos. Pure Math., 47, Part 1, Amer. Math. Soc., Providence, RI, (1987).

AUTRES PUBLICATIONS

1. Groupes de Witt, cohomologie de Hochschild et rigidité d'algèbres.
   Habilitation à diriger des recherches, rapport de travaux.
   Publication de l'Institut Fourier, Université Joseph Fourier, Grenoble (1989).
2. Représentations modulaires autoduales.
   Thèse, Université de Genève (1984). 
3. Singularidades racionales y sucesiones casi escindididas.
   Publ. Mat. Uruguay 2 75--90 (1989).
4. Métodos diagramaticos en representacion de algebras (avec F. Larrion et L. Salmeron).
   Monografias del Instituto de Matematicas 11. Universidad Nacional Autonoma de Mexico (1982).
5. Méthodes diagrammatiques en représentation d'algèbres (avec F. Larrion et L. Salmeron).
   Publications internes de la Section de mathématiques, Université de Genève (1983).
6. Présentations de groupes de Witt. Travail de Diplôme,
   Université de Genève (1978).