Publications and Preprints

Submitted preprints

• joint with Lidia Angeleri Hügel and David Pauksztello, Fishing for complements. (arxiv)

• Mutations and derived equivalences for commutative noetherian rings, To appear in the Proceedings of ICRA 2022 (arXiv)

• joint with Lidia Angeleri Hügel, Rosanna Laking and Jan Stovicek, Mutations and torsion pairs. (arXiv)

Journal Articles

1.  joint with Sergio Pavon, Hearts for commutative noetherian rings: torsion pairs and derived equivalences, Doc. Math. 26 (2021), 829--871. (arXiv)

2. joint with Lidia Angeleri Hügel, Frederik Marks, Jan Stovicek and Ryo Takahashi, Flat ring epimorphisms and universal localisations of commutative rings, Q. J. Math. 71(4) (2020), 1489–1520. (arXiv)

3. joint with Rosanna Laking, Definability and approximations in triangulated categories, Pacific J. Math., 306-2 (2020), 557--586. (arXiv)

4. joint with Lidia Angeleri Hügel and Frederik Marks, Partial silting objects and smashing subcategories, Math. Z. 296 (2020), 887–900.  (arXiv)

5. joint with Carlos E. Parra, Properties of abelian categories via recollements, J. Pure and Appl. Algebra 223 (2019), 3941--3963. (arXiv)

6. joint with Frederik Marks, Silting and cosilting classes in derived categories,  J. Algebra 501 (2018), 526--544. (arXiv)

7. joint with Chrysostomos Psaroudakis, Realisation functors in tilting theory, Math. Z.  288(3) (2018), 965--1028. (arXiv)

8. joint with Lidia Angeleri Hügel and Frederik Marks, Torsion pairs in silting theory, Pacific J. Math.  291-2 (2017), 257--278. (arXiv)

9. joint with Lidia Angeleri Hügel and Frederik Marks, Silting modules and ring epimorphisms, Adv. Math. 303 (2016) 1044–1076. (arXiv) 

10. joint with Lidia Angeleri Hügel and Frederik Marks, Silting modules, Int. Math. Res. Not. IMRN 2016, no. 4 (2016) 1251--1284. (arXiv) 

11. joint with Frederik Marks, From ring epimorphisms to universal localisations, Forum Math. 27, no.2 (2015), 1139--1161. (arXiv)

12. joint with Qunhua Liu and Dong Yang, Glueing Silting objects, Nagoya Math. J. 216 (2014), 117--151. (arXiv) 

13. Perverse coherent t-structures through torsion theories, Algebr. Represent. Th. 17, no. 4 (2014), 1181--1206. (arXiv)

14. joint with Chrysostomos Psaroudakis, Recollements of Module Categories, Appl. Categ. Structures 22, no.4 (2014), 579--593. (arXiv)

15. joint with Qunhua Liu, t-structures via recollements for piecewise hereditary algebras , J. Pure and Appl. Algebra 216 (2012), no. 4, 837--849. (arXiv) 

16. Mutations Vs. Seiberg duality, Journal of Algebra 321 (2009), no. 3, 816--828 - (arXiv). Here is a Corrigendum to this paper. See also this Chapter of my thesis.

Conference Proceedings

17. joint with Lidia Angeleri Hügel and Frederik Marks, A characterisation of τ-tilting finite algebras, in Model Theory of Modules, Algebras and Categories, Contemp. Math. 730, Amer. Math. Soc., Providence, RI (2019) 75--89.  (arXiv)

18. Quantity vs. size in representation theory, Boletim SPM 77 (2019),  151--166 (arXiv).

Outreach

19.  Representations of commutative rings via the prime spectrum, CIM Bulletin 41 (2019).

20. Aljavas, Caminhos e representações, (in portuguese) in Números, cirurgias e nós de gravatas, eds: João Pedro Boavida, Rui Pedro Carpentier, Luís Cruz-Filipe, Pedro S. Gonçalves, Eloísa Grifo, David Henriques, Ana Rita Pires, IST Press, Lisbon (2012).

Participation in research projects

Ongoing

• Structures for quivers, algebras and representations, PRIN - Progetto di Rilevante Interesse Nazionale, Associate Investigator for the Research Unit at the University of Padova, Principal Investigator: Lidia Angeleri Hügel.

• Representations of quivers with commutative coefficients, Progetto SID - BIRD Budget Integrato per la Ricerca Dipartimentale 2022, Dipartimento di Matematica "Tullio Levi-Civita", Università degli Studi di Padova, Principal Investigator. 

• Network on Silting Theory, (Deutsche Forschungsgemeineschaft), Member of the Steering Commitee, Principal Investigators: Frederik Marks and Alexandra Zvonareva

Past

• 2020-2022 "REDCOM - Reducing complexity in algebra, logic, combinatorics", (Fondazione Cariverona), Principal Investigator: Lidia Angeleri Hügel

• 2021-2022, "GoAct - The geometry of actions", (Fondazione di Sardegna), Principal Investigator: Jorge Vitória

• 2016-2018, "Derived localisations in algebra and homotopy theory" (EPSRC - UK), Principal Investigator: Joseph Chuang

• 2015-2016, "Categorical localisations: methods and foundations", (Università degli Studi di Verona), Principal Investigator: Lidia Angeleri Hügel

• 2013-2015, "Tilting theory in derived module categories" (Marie Curie Intra-European Fellowship), Principal Investigator: Jorge Vitória. 

Events

Co-organisation of meetings/conferences

• Silting Theory, Algebras and Representations, 12-16 September, 2022, Charles University Prague.

• Online Satellite event, Homological methods in representation theory - a conference in honour of Lidia Angeleri Hügel, February 22 - 23, 2022.

• Homological methods in representation theory - a conference in honour of Lidia Angeleri Hügel, October 3 - 8, 2021, Fraueninsel (Chiemsee), Abtei Frauenwörth, Germany.

• Algebra day in Sardinia, Cagliari, May 2020 (CANCELLED)

• Seventy-sixth BLOC meeting, London, March 2017

• Triangulated categories in representation theory, geometry and topology, Stuttgart, March 2016

• Silting theory and related topics, Verona, July 2015 

• Annual conference of the DFG priority programme in representation theory, SPP 1388, Bad Boll, March 2013 (local organiser)

• Workshop on t-structures and related topics, Stuttgart 2011 

Other events

• Inaugural Lecture Series, Network on Silting Theory

• FD Seminar: Online seminar on representation theory of finite-dimensional algebras

• Colloquia Patavina (Padova)

• London Algebra Colloquium (Birkbeck/City/Imperial College/Queen Mary)

• MALGA seminar (Verona/Padova)

• BIREP seminar (Bielefeld)

• IAZ Oberseminar (Stuttgart)