Alexander Bertoloni Meli's home page

I am an Assistant Professor at Boston University .
My research relates to the Langlands program, local and global Shimura varieties, and representation theory of reductive groups.

Here is my CV .

Contact

• Email : abertolo@bu.edu
• Address : Department of Mathematics and Statistics, 665 Commonwealth Ave, Boston, MA 02215
• Office : 510 Computing and Data Sciences (CDS)

Papers and preprints

• Inequalities characterizing distinguished unipotent orbits . (with Teruhisa Koshikawa and Jonathan Leake)
• The B(G)-parametrization of the local Langlands correspondence . (with Masao Oi) submitted.
• Compatibility of the Fargues--Scholze correspondence for unitary groups . (with Linus Hamann and Kieu Hieu Nguyen)
Mathematische Annalen 2024. pp. 1-59
• The stable trace formula for Igusa varieties, II . (with Sug Woo Shin) submitted.
• The Jacobson--Morozov morphism for Langlands parameters in the relative setting . (with Naoki Imai and Alex Youcis)
International Mathematics Research Notices 2024. pp. 5100-5165
• An averaging formula for the cohomology of PEL-type Rapoport--Zink spaces . preprint.
• Global B(G) with adelic coefficients and transfer factors at non-regular elements .
Mathematische Zeitschrift, 2024, pp. 1-47.
• The Scholze-Shin Conjecture for Unramified Unitary Groups. (with Alex Youcis) preprint.
• An Approach to the Characterization of the Local Langlands Correspondence. (with Alex Youcis).
Slides Representation Theory, 2023, pp. 415-430.
• The Kottwitz conjecture for unitary PEL-type Rapoport--Zink spaces . (with Kieu Hieu Nguyen).
Journal für die Reine und Angewandte Mathematik (Crelle's Journal) , 2023, pp. 1-68.
• The Cohomology of Rapoport-Zink Spaces of EL-type and Harris's Conjecture.
Journal of the Math Institute of Jussieu, 2021, pp. 1-56 .

Other Documents

• Computations of sheaves at the Steinberg parameter of PGL2
• Relationship to the classical averaging formulas. appendix to Geometric Eisenstein series, intertwining operators, and Shin's averaging formula . by Linus Hamann. submitted.

Outreach

I'm a friend of the Ypsilanti Math Corps .

I used to be an organizer and mentor in the UC Berkeley Directed Reading Program.