# Research

**Preprints**

2. L-invariants for cohomological representations of PGL(2) over arbitrary number fields (mit Maria Rosaria Pati, preprint pdf)

1. Plectic Stark-Heegner points (with Michele Fornea, preprint pdf)

**Articles**

10. Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations (pdf, to appear in *Research in the Mathematical Sciences*)

9. Big principal series, p-adic families and L-invariants (with G. Rosso, pdf, to appear in *Compositio Mathematica*)

8. Automorphic L-invariants for reductive groups (pdf, to appear in *Journal für die reine und angewandte Mathematik (Crelle's Journal)*)

7. Gelfand's trick for the spherical derived Hecke algebra (pdf, to appear in *International Mathematics Research Notices*)

6. On quaternionic rigid meromorphic cocycles (pdf, to appear in *Mathematical Research Letters*)

5. Derived Hecke algebra and automorphic L-invariants (pdf, Trans. Amer. Math. Soc. Volume 372 (2019), 7767-7784)

4. Functoriality of automorphic L-invariants and applications (pdf, Doc. Math. Volume 24 (2019), 1225-1253)

3. On Shalika models and p-adic L-Functions (pdf, Isr. J. Math. Volume 226 Issue 1 (2018) 237-294)

2. Leading terms of anticyclotomic Stickelberger elements and p-adic periods (with F. Bergunde, pdf, Trans. Amer. Math. Soc. Volume 370, Number 9 (2018), 6297-6329 )

1. On the order of vanishing of Stickelberger elements of Hilbert modular forms (with F. Bergunde, pdf, Proc. Lond. Math. Soc. Volume 114, Issue 1, January 2017, 103–132)

**Notes**

1. Extensions of the Steinberg representation (A short note on extensions of the Steinberg representation and their connection to the p-adic upper half plane. A "coordinate free" version is part of the article "Anticyclotomic Stickelberger elements and p-adic periods".)

**Talks**

Septemer 12th-16th, 2022, Elliptic curves and modular forms in arithmetic geometry (celebrating Massimo Bertolini's 60th birthday), Università degli Studi di Milano*tba*

August 15th-19th, 2022, Mordell 2022 -100 years of elliptic curves, Cambridge (UK)*tba*

June 20th-24th, 2021, Galois Representations, Automorphic Forms and L-Functions, CIRM Luminy*tba*

December 3rd, 2021, Algebra & Number Theory Seminar, Heidelberg University*Plectic Jacobians*

October 11th, 2021, Warwick Number Theory Seminar*Plectic Stark-Heegner points*

July 16th, 2021, Bielefeld Algebraic and Arithmetic Geometry Seminar*Plectic Stark-Heegner points*

July 6th, 2021, International Seminar on Automorphic Forms*Rigid meromorphic cocycles for orthogonal groups*

June 8th, 2021, CMS 75th+1 Anniversary Summer Meeting, Ottawa, Slides*, *Handout*On quaternionic rigid meromorphic cocycles*

October 21th, 2020, London number theory seminar*L-invariants, completed cohomology and big principal series*

October 14th, 2020, Algebra seminar, Michigan State University*Gelfand's trick for the spherical derived Hecke algebra*

September 27th, 2020, 2020 Québec-Maine Number Theory Conference, Slides*, *Handout*Gelfand's trick for the spherical derived Hecke algebra*

July, 24th, 2020, Members' seminar of Thematic Semester on Number Theory, CRM Montreal*Cohomology of p-arithmetic groups*

June 30th, 2020, Seminar "Geometric Analysis and Number Theory", Paderborn University, Slides*, *Handout*Big principal series and L-invariants*

June 10th, 2020, Universidad de Santiago de Chile, Slides*, *Handout*On exceptional zeros for GL(2)*

February 26th, 2020, Number/Representation theory seminar, University of Toronto*Automorphic L-invariants for reductive groups*

February 21st, 2020, Algebra and Geometry Seminars, Laval University*Big principal series and L-invariants*

February 13th, 2020, Quebec-Vermont number theory seminar, McGill University*Automorphic L-invariants for reductive groups*

July 22nd-24th, 2019, Workshop on L-invariants, Bejing International Center for Mathematical Research*Lecture series on automorphic L-invariants for reductive groups*

July 18th, 2019, Bejing International Center for Mathematical Research*On Shalika models and p-adic L-functions*

July 6th-8th, 2019, p-adic modular forms (satellite conference to Journées Arithmétiques XXXI), Istanbul Center for Mathematical Sciences*Automorphic L-invariants for reductive groups*

June 28th, 2019, Seminar 'Symmetry, Geometry und Arithmetic', University of Heidelberg*Automorphic L-invariants for reductive groups*

May 15th, 2019, Algebra and number theory seminar, HU Berlin*Automorphic L-invariants for reductive groups*

October 4th, 2018, Special Values of Automorphic L-functions and Associated p-adic L-Functions, Casa Matemática Oaxaca*On Shalika models and p-adic L-functions*

June 26th, 2018, Karlsruhe Institute of Technology*Derived Hecke algebra and automorphic L-invariants*

April 20th, 2018, P-adic day in Catalonia, Cardedeu, Slides*Shalika models and p-adic L-functions*

January 31st, 2018, Bielefeld Arithmetic Geometry Seminar, Bielefeld University*Derived Hecke algebra and automorphic L-invariants*

January 24th, 2018, Colloquium, University of Duisburg-Essen, Slides*Automorphic L-invariants*

December 12th, 2017, Recent Developments on the Arithmetic of Special Values of L-Functions, CIB - EPF Lausanne*Derived Hecke algebra and automorphic L-invariants*

February 14th, 2017, P-adic methods for Galois representations and modular forms, Universitat de Barcelona*Stickelberger Elements and automorphic L-Invariants*

December 14th, 2016, Oberseminar Arithmetische und Algebraische Geometrie, LMU Munich*Stickelberger Elements and automorphic L-Invariants*

December 1st, 2015**, **University of Wuppertal*Shalika Modelle und p-adische L-Funktionen*

August 16th, 2015, p-adic Hodge theory and Iwasawa theory, Bielefeld University

Shalika models and p-adic L-functions

January 16th, 2014 Research Seminar Arithmetic Geometry, University of Duisburg-Essen*P-adic L-functions for GL2n*