"Bolytrope Orders", joint with Y. El Maazouz, G. Nebe (arXiv).
"Abelian invariants and a reduction theorem for the modular isomorphism problem", joint with L. Margolis, T. Sakurai (arXiv).
"Valued rank-metric codes", joint with Y. El Maazouz, M. A. Hahn, A. Neri (arXiv).
"Orbits classifying extensions of prime power order groups", joint with O. Garaialde Ocaña (arXiv).
"Orders and Polytropes: Matrix Algebras from Valuations", joint with Y. El Maazouz, M. A. Hahn, G. Nebe, B. Sturmfels, Beitr. Algebra Geom. (2021), DOI (published version, arXiv).
"Cryptographic multilinear maps using pro-p groups", joint with D. Kahrobaei, Adv. Math. Commun. (2021), DOI. (arXiv).
"On the Modular Isomorphism Problem for groups of class 3 and obelisks", joint with L. Margolis, J. Group Theory, vol. 25, no. 1, 163-206 (2022), DOI (arXiv).
"Toric varieties from cyclic matrix semigroups", joint with F. Galuppi, Rend. Istit. Mat. Univ. Trieste Vol. 53 (2021), Art. No. 17, pp. 1-17 (electronic) URI (arXiv).
"Intense automorphisms of finite groups", Mem. Amer. Math. Soc. 273 (2021), no. 1341, DOI (arXiv).
"Hessian matrices,
automorphisms of
p-groups, and torsion
points of elliptic
curves", joint with
C. Voll, Math. Ann. 381, 593-629 (2021), DOI. (published version, arXiv)
In this video, I explain some of the ideas from this article to a general mathematical audience: video, belonging to the Research Spotlight collection of the MPI MiS Leipzig.
"Evolving groups", Arch. Math. 111, 3-12 (2018), DOI. (published version, arXiv)
"Intense automorphisms of finite groups", 2017, PhD thesis. (arXiv, Leiden repository)
"Evolving groups", 2013, master thesis. (link)
"Controesempi sui compatti", 2011, bachelor thesis in Italian. (pdf)
"Algebra 2" at Bielefeld University, Spring 2019.
"Mathematik I für Chemie" at Bielefeld University, Fall 2018.
"Mathematical Reasoning" at Leiden University College, Spring 2016, Spring 2017. (link to LUC)
"Mathematics Basic" at Leiden University College, Spring 2015.
"Lineare Algebra 2" at Bielefeld University, Spring 2018. (Link zur Webseite des Kurses)
"Optimization for Quantitative Economics" at Bielefeld University, Fall 2017. (link to the course's material)
"Commutative Algebra" at Leiden University, Spring 2014.
21/01/2021 "On the Modular Isomorphism Problem for groups of class 3". Ischia Online Group Theory Conference. (slides)
04/11/2020 "Automorphism groups, elliptic curves, and the PORC conjecture". Bar-Ilan Algebra Seminar online, Bar-Ilan University. (slides)
08/10/2020 "(Strong) isomorphism of p-groups and orbit counting". Al@Bicocca Algebra Seminar online, Milano Bicocca. (slides)
21/01/2020 "Hessians, automorphisms of p-groups, and torsion points of elliptic curves". Group theory days 2020, Heinrich-Heine-Universität Düsseldorf.
11/12/2019 "Hessians, automorphisms of p-groups, and torsion points of elliptic curves". Women in algebra and symbolic computations, Bad Dürkheim. (slides)
20/09/2019 "Automorphism groups and the PORC conjecture". Bielefeld-Southampton Geometric group theory meeting, Southampton.
30/06/2018 "Intense automorphisms of finite groups". Norddeutsches Gruppentheorie-Kolloquium 2018, Braunschweig.
11/10/2017 "Intense automorphisms of finite groups". Topics on Groups and their Representations, Gargnano sul Garda. (slides)
24/01/2017 "Intense automorphisms of groups". Seminar "Frauen in der Mathematik", University of Konstanz. (slides)
07/10/2021 "Orders and polytropes: matrix algebras from valuations". Conference "Buildings 2021".
06/09/2021 "New invariants and a reduction theorem for the MIP". Workshop "The Modular Isomorphism Problem in Murcia".
30/06/2021 "Gebäude aus Gruppen". Aachen Seminar zur Gruppentheorie (notes).
12/05/2021 "Automorphism groups, elliptic curves, and the PORC conjecture". Lincoln Algebra Seminar online.
16/02/2021 "Intense automorphisms of finite groups". Manchester's 13th Meeting of "New directions in Group Theory and Triangulated Categories"
30/10/2020 "Automorphism groups, elliptic curves, and the PORC conjecture". Leiden Algebra, Geometry, and Number Theory Seminar online.
28/10/2020 "On the Modular Isomorphism Problem for groups of class 3". Bristol Algebra Seminar online.
01/07/2020 "(Strong) isomorphism of p-groups and orbit counting". Bilbao Algebra Seminar Online.
31/03/2020 "Toric varieties from cyclic matrix groups". Nonlinear Algebra Seminar Online (NASO). (slides)
10/05/2019 Poster session at Groups in Galway 2019, NUI Galway. (poster) -- Poster prize winner
25/03/2019 "On the PORC conjecture and the geometry of some famous examples". Seminar, Universidad del Pais Vasco (EHU/UPV).
04/06/2018 "Intense automorphisms of finite groups". ALGB Seminar, VU Brussels.
13/11/2017 "Intense automorphisms of finite groups". Research seminar in pure mathematics, Heinrich-Heine-Universität Düsseldorf.
18/10/2017 "Intense automorphisms of finite groups". Oberseminar, Universität Bielefeld.
20/02/2017 "Intense automorphisms of groups". Algebra Seminar, Universiteit Leiden.
08/12/2016 "Intense automorphisms of groups". Max Planck Institute for Mathematics, Bonn.
31/07/2016 "Intense triples". Algorithmic problems in group theory and related areas, Novosibirsk. (slides)
18/01/2016 "Introduction to knots and their fundamental groups". Knot theory seminar, Leiden. (knotes)
27/11/2015 "Intense triples". Diamant Symposium, Lunteren. (slides)
02/06/2015 "Ramanujan Graphs". Seminar on local Galois representations, Leiden.
21/04/2015 "Coprimality and fixed points". PhD colloquium, Leiden University.
03/03/2015 "Evolving groups". Homological Algebra workshop, Madrid.
17/12/2014 "Evolving groups and intensity". Seminar, Padova University.
5/11/2014 "Intense automorphisms: the game we play". PhD seminar at EHU, Bilbao.
30/10/2014 "Evolving groups and intensity". Seminar, Universidad del Pais Vasco (EHU/UPV).
23-25/10/2014 Poster session at X Encuentro en Teoria de Grupos, Sevilla.
18-20/06/2014 Poster session at Bicocca Workshop on Representation Theory 2014, Milano.
19/05/2014 "Evolving groups and intensity". Algebra Seminar, Leiden University.
18/11/2013 "The tangent space and the CM type". Complex multiplication seminar, Leiden.
09/07/2013 "Evolving groups". Algant Master graduation at Universite' de Bordeaux. (slides)
01/07/2013 "Evolving groups". Master thesis defence at Leiden University.
Algant Alumni DOC Meeting, Fall 2021, coorganized with Samuele Anni and Pınar Kılıçer.
Buildings 2021, Fall 2021.
The Modular Isomorphism Problem in Murcia, Fall 2021, coorganized with Leo Margolis, Tobias Moede, and Ángel del Río.
Branching from number theory: p-adics in the sciences, Fall 2021, coorganized with Antonio Lerario, Avi Kulkarni, Enis Kaya.
Hecke operators, Ehrhart theory, and automorphic forms, Fall 2020.
LSSM (online) working group - Linear Spaces of Symmetric Matrices, Fall 2020.
Groups, representations and applications: new perspectives - Introductory workshop, Spring 2020.
Group Theory Days 2020, Spring 2020.
Women in algebra and symbolic computations, Fall 2019.
Nikolauskonferenz 2019, Fall 2019.
Buildings, varieties, and applications, Fall 2019.
Bielefeld-Southampton Geometric group theory meeting, Fall 2019.
SYMBol Seminar, 2018-2019. I am one of the founders of the SYMBol Seminar (Seminar Young Mathematicians Bielefeld - open lectures), a seminar that offers a platform for young mathematicians to share ideas and concepts with a general audience
and that provides an event which brings together members of the faculty that might otherwise not often interact.
Modern theory of group actions and the special role of finite simple groups, Spring 2019.
Groups in Galway, Spring 2019.
Zeta functions of groups and dynamical systems, Fall 2018.
Groups, Geometry and Representations 2018, Fall 2018.
Norddeutsches Gruppentheorie-Kolloquium 2018, Spring 2018.
Groups & Algebras in Bicocca for Young algebraists, Spring 2018.
Topics on Groups and their Representations, Fall 2017.
Fourth international workshop on Zeta Functions in Algebra and Geometry, Spring 2017.
Algorithmic problems in group theory and related areas, Summer 2016.
Ischia Group Theory, Spring 2014, Spring 2016, Spring 2020 (online).
Groups and their actions, Summer 2015.
Higher Dimensional Expanders, Spring 2015.
Homological Algebra workshop, Spring 2015.
X Encuentro en Teoria de Grupos, Fall 2014.
Bicocca Workshop on Representation Theory and PhD School, Summer 2014.
Diamant Symposium, several appointments.
Algebra seminar, several appointments.
Intercity number theory seminar, several appointments.