# Research

**Preprints**

5. Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations (preprint pdf)

4. Gelfand's trick for the spherical derived Hecke algebra (preprint pdf)

3. On quaternionic rigid meromorphic cocycles (preprint pdf)

2. Big principal series, p-adic families and L-invariants (with G. Rosso, preprint pdf)

1. Automorphic L-invariants for reductive groups (preprint pdf)

**Articles**

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. 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**

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*