Alexandru A. Popa

Institute of Mathematics "Simion Stoilow"
of the Romanian Academy
Office: 810
Email: aapopa@gmail.com
CV

Papers

Central values of Rankin L-series over real quadratic fields Download pdf.
Compositio Math. 142 (2006), 811-866, doi:10.1112/S0010437X06002259
Whittaker newforms for archimedean representations of GL(2)
J. of Number Theory 128/6 (2008), 1637-1645, doi:10.1016/j.jnt.2007.06.005
Rational decomposition of modular forms
Ramanujan J. 26/3 (2011), 419-435, doi:10.1007/s11139-011-9301-6
Modular forms and period polynomials
(with V. Pasol)
Proc. Lond. Math. Soc. 107/4 (2013), 713-743, doi:10.1112/plms/pdt003
Pair correlation of angles between reciprocal geodesics on the modular surface
(with F.P. Boca, V. Pasol, A. Zaharescu)
Algebra and Number Theory, 8-4 (2014), 999-1035, doi: 10.2140/ant.2014.8.999
Pair correlation of hyperbolic lattice angles
(with F.P. Boca, A. Zaharescu)
Int. J. Number Theory 10/8 (2014), 1955-1989, doi:10.1142/S1793042114500651
On the Petersson scalar product of arbitrary modular forms
(with V. Pasol)
Proc. Amer. Math. Soc. 142 (2014), 753-760, doi:10.1090/S0002-9939-2013-11815-0
An algebraic property of Hecke operators and two indefinite theta series
(with V. Pasol)
Forum Math. 27/2 (2015), 915-928, doi:10.1515/forum-2012-0114
A combinatorial refinement of the Kronecker-Hurwitz class number relation
(with D. Zagier)
Proc. Amer. Math. Soc. 145/3 (2017), 1003-1008, doi:10.1090/proc/13281
On the trace formula for Hecke operators on congruence subgroups
Proc. Amer. Math. Soc. 146/7 (2018), 2749-2764, doi:10.1090/proc/13896
On the trace formula for Hecke operators on congruence subgroups, II
Research in the Math. Sciences (2018) 5:3, doi:10.1007/s40687-018-0125-5
A generalization of Ramanujan's congruence to modular forms of prime level
(with R. Gaba)
J. of Number Theory 193 (2018), 48-73, doi:10.1016/j.jnt.2018.05.007
An elementary proof of the Eichler-Selberg trace formula
(with D. Zagier)
J. Reine Angew. Math. 762 (2020), 105-122, doi:10.1515/crelle-2018-0035
Quadratic Weyl group multiple Dirichlet series of Type D(1)4
(with A. Diaconu, V. Pașol )
Preprint, to appear in Amer. J. Math
A trace formula for Hecke operators on Fuchsian groups
Forum Math. (2025), doi:10.1515/forum-2024-0018
Residues of quadratic Weyl group multiple Dirichlet series
(with A. Diaconu, B. Ion, V. Pașol )
Adv. Math. 476 (2025) 110359, doi:10.1016/j.aim.2025.110359

 

Conferences co-organized

Algebraic and Artithmetic Geometry Week, Section on Arithmetic groups and p-adic Langlands, Iasi, September 1-5, 2025

13th Bucharest Number Theory Days, July 14-15, 2025

Twelfth Bucharest Number Theory Days, July 4-5, 2024

Tenth Congress of Romanian Mathematicians, Number theory section

Eleventh Bucharest Number Theory Days, July 25-26, 2023

Tenth Bucharest Number Theory Days, August 3-5, 2022

Ninth Bucharest Number Theory Days, in honor of Alexandru Zaharescu's 60th birthday, June 1-3, 2021

Eigth Bucharest Number Theory Day, December 29, 2020

Seventh Bucharest Number Theory Day, August 8, 2019

Sixth Bucharest Number Theory Day, July 24, 2018

Workshop on L-functions and Galois Representations, June 19, 2018

Automorphic forms and L-functions, section of the Joint International Meeting of the German and Romanian Mathematical Societies, Constanta, September 16-19, 2017

Fifth Bucharest Number Theory Day, July 10-11, 2017

Workshop on modular forms and Galois representations, August 22-23, 2016

Fourth Bucharest Number Theory Day, July 19, 2016

Third Bucharest Number Theory Day, August 3rd, 2015

Second Bucharest Number Theory Day, July 22nd, 2014

Bucharest Number Theory Day, July 16th, 2013

Workshop on "Automorphic forms and L-functions", June 6-8, 2012