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Publications
In press
The mod 2 cohomology rings of congruence subgroups in the Bianchi groups; ;
E-print/Working paper (in press)
Splitting fields of X^n-X-1 (particularly for n=5), prime decomposition and modular forms; ;
in Expositiones Mathematica (in press)
On the Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds;
in Algebraic and Geometric Topology (in press)
2022
Fast computation of half-integral weight modular forms;
in Rocky Mountain Journal of Mathematics (2022), 52(4), 1395-1401
Commutative Algebra (lecture notes, Master in Mathematics, Master in Secondary Education)Learning material (2022)
2021
Galois families of modular forms and application to weight one; ;
in Israel Journal of Mathematics (2021), 244
On the distribution of coefficients of half-integral weight modular forms and the Bruinier-Kohnen Conjecture; ; ;
in Turkish Journal of Mathematics (2021), 45(6), 2427-2440
2020
Simultaneous Diagonalization of Incomplete Matrices and Applications; ;
in Proceedings of the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), edited by Steven Galbraith, Open Book Series 4, Mathematical Sciences Publishers, Berkeley, 2020 (2020, December)
Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p;
in Journal of the Institute of Mathematics of Jussieu (2020), 19(2), 281-306
2019
The Farrell--Tate and Bredon homology for PSL_4(Z) via cell subdivisions; ;
in Journal of Pure and Applied Algebra (2019), 223(7), 2872-2888
Genuine Bianchi modular forms of higher level, at varying weight and discriminant;
in Journal de Théorie des Nombres de Bordeaux (2019), 31(1), 27-48
Computational Arithmetic of Modular Formsin Buyukasik, Engin; Inam, Ilker (Eds.) Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017 (2019)
2018
Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders; ; ;
in Physical Review. E. (2018), 98
Equivariant K-homology for hyperbolic reflection groups; ; ;
in The Quarterly Journal of Mathematics (2018), 69(4), 1475-1505
Topics on modular Galois representations modulo prime powers;
in Böckle, Gebhard; Decker, Wolfram; Malle, Gunter (Eds.) Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (2018)
2017
Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations; ;
in Transactions of the American Mathematical Society (2017), 369
On certain finiteness questions in the arithmetic of Galois representationsPresentation (2017, June 07)
Sur les représentations galoisiennes des formes modulaires de Hilbert de poids un en caractéristique pPresentation (2017, January 19)
Sur les représentations galoisiennes des formes modulaires de Hilbert de poids un en caractéristique pPresentation (2017, April 11)
2016
Classification of subgroups of symplectic groups over finite fields containing a transvection; ;
in Demonstratio Mathematica (2016), 49(2), 129-148
Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image; ;
in Pacific Journal of Mathematics (2016), 281(1), 1-16
Hilbertian fields and Galois representations; ;
in Journal für die Reine und Angewandte Mathematik (2016), 712
Possible connection between a generalized Maeda's conjecture and local types;
E-print/Working paper (2016)
A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halasz' Theorem;
in International Journal of Number Theory (2016), 12(2), 357-360
On certain finiteness questions in the arithmetic of modular forms; ;
in Journal of the London Mathematical Society (2016), 94(2), 479-502
On the equivariant K-homology of PSL_2 of the imaginary quadratic integersin Annales de l'Institut Fourier (2016), 66(4), 1667-1689
Report on the Oberwolfach Workshop "Computations in the Cohomology of Arithmetic Groups"in Oberwolfach Reports (2016, November)
The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers;
in Journal of Pure and Applied Algebra (2016), 220
On Galois representations of mod p Hilbert eigenforms of weight oneScientific Conference (2016, August 16)
2015
Artin representations associated to modular forms of weight one: Deligne-Serre's theoremPresentation (2015, January 27)
Automorphic Galois representations and the inverse Galois problemin Chamizo, Fernando; Guàrdia, Jordi; Rojas-León, Antonio; Tornero, José María (Eds.) Trends in Number Theory (2015)
Curvas de género 3 y realizaciones de GSp(6, l) como grupo de Galois sobre QScientific Conference (2015, February 03)
Genus 3 curves and explicit realisations of symplectic groups as Galois groups over QPresentation (2015, April 06)
Galois representations and Galois groups over Q; ; ; ; ;
in Bertin, Marie José; Bucur, Alina; Feigon, Brooke; Schneps, Leila (Eds.) Women in Numbers Europe Research Directions in Number Theory (2015)
Compatible systems of symplectic Galois representations and the inverse Galois problem III. Automorphic construction of compatible systems with suitable local properties; ; ;
in Mathematische Annalen (2015), 361(3), 909-925
Criteria for p-ordinarity of Families of Elliptic curves over infinitely many number fields;
in International Journal of Number Theory (2015), 11(1), 81-87
l-independence for compatible systems of (mod l) representationsin Compositio Mathematica (2015), 151(7), 1215-1241
The Waring problem for Lie groups and Chevalley groups; ;
in Israel Journal of Mathematics (2015), 210(1), 81-100
Complexifiable characteristic classesin Journal of Homotopy and Related Structures (2015), 10(3), 537--548
On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient FieldE-print/Working paper (2015)
Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod pScientific Conference (2015, November 13)
2014
Compatible systems of symplectic Galois representations and the inverse Galois problemPresentation (2014, October 13)
Compatible systems of symplectic Galois representations and the inverse Galois problemScientific Conference (2014, November 20)
Compatible systems of symplectic Galois representations and the inverse Galois problemPresentation (2014, April 01)
Compatible systems of symplectic Galois representations and the inverse Galois problemin Oberwolfach Reports (2014, February 05)
Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes;
E-print/Working paper (2014)
Accessing the cohomology of discrete groups above their virtual cohomological dimensionin Journal of Algebra (2014), 404
The subgroup measuring the defect of the abelianization of $ SL_2(\Bbb Z[i])$in Journal of Homotopy and Related Structures (2014), 9(2), 257--262
A possible generalization of Maeda's conjecturein Computations with Modular Forms 2011 - Conference Procceedings (2014)
Applying automorphic Galois representations in the inverse Galois problemScientific Conference (2014, March 13)
Applying modular Galois representations to the Inverse Galois Problemin Oberwolfach Reports (2014), 11(1), 305-309
Automorphic Galois representations in the inverse Galois problemScientific Conference (2014, June 24)
Computations with Modular Forms: Proceedings of a Summer School and Conference, Heidelberg, August/September 2011;
Book published by Springer (2014)
2013
Modularity of certain 2-dimensional mod p^n representations of Gal(Qbar/QPresentation (2013, March 07)
The Ramakrishna-Taylor method and modular lifts of mod p^n Galois representationsPresentation (2013, June 21)
Abelian varieties with tame and surjective Galois representationsScientific Conference (2013, August)
Automorphic Galois representations and the inverse Galois problemScientific Conference (2013, July 09)
Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion; ;
in Mathematische Nachrichten (2013), 286(13), 1269-1286
Big monodromy theorem for abelian varieties over finitely generated fields; ;
in Journal of Pure and Applied Algebra (2013), 217(2), 218--229
Abelian varieties over number fields, tame ramification and big Galois image;
in Mathematical Research Letters (2013), 20(01), 1-17
On modular Galois representations modulo prime powers; ;
in International Journal of Number Theory (2013), 9(1), 91--113
Monodromy of Galois representations and equal-rank subalgebra equivalencein Mathematical Research Letters (2013), 20(4), 1-24
Equidistribution of signs for modular eigenforms of half integral weight;
in Archiv der Mathematik (2013), 101(4), 331--339
Galois action on the L-isogeny classes of abelian surfaces with quaternionic multiplicationE-print/Working paper (2013)
Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes;
in Proceedings of the American Mathematical Society (2013), 142
An Application of Maeda's Conjecture to the Inverse Galois Problemin Mathematical Research Letters (2013), 20(5), 985-993
On symplectic Galois representations and the inverse Galois problemScientific Conference (2013, September 27)
Symplectic Galois representations and applications to the inverse Galois problemPresentation (2013, April 19)
Winter School on Galois Theory, Volume 1; ;
Book published by University of Luxembourg / Campus Kirchberg (2013)
Winter School on Galois Theory, Volume 2; ;
Book published by University of Luxembourg / Campus Kirchberg (2013)
2012
Compatible systems of symplectic Galois representations with large residual imageScientific Conference (2012, June)
Compatible systems of symplectic Galois representations with large residual imageScientific Conference (2012, June 29)
Critère d'irréductibilité pour les courbes elliptiques semi-stables sur un corps de nombresE-print/Working paper (2012)
Diophantine Equation of Matching Games I;
in Integers: Electronic Journal of Combinatorial Number Theory (2012)
Equations of hyperelliptic Shimura curvesin Proceedings of the London Mathematical Society (2012), 105(5), 891--920
Ribet bimodules and the specialization of Heegner pointsin Israel Journal of Mathematics (2012), 189
A level raising result for modular Galois representations modulo prime powersE-print/Working paper (2012)
Symplectic Galois representations and applications to the inverse Galois problemPresentation (2012, May 30)
Symplectic Galois representations and applications to the inverse Galois problemPresentation (2012, January 19)
2011
Formal groups, supersingular abelian varieties and tame ramificationin Journal of Algebra (2011), 334
On a conjecture of Geyer and Jarden about abelian varieties over finitely generated fieldsScientific Conference (2011, September 05)
Galois representations and the tame inverse Galois problem;
in Cojocaru, Alina-Carmen; Lauter, Kristin; Pries, Rachel; Scheidler, Renate (Eds.) WIN---women in numbers (2011)
Tame Galois realizations of $ GSp_4(\Bbb F_łl)$ over $\Bbb Q$;
in International Mathematics Research Notices (2011), (9), 2028--2046
On modular forms and the inverse Galois problem;
in Transactions of the American Mathematical Society (2011), 363(9), 4569--4584
A computational study of the asymptotic behaviour of coefficient fields of modular forms;
in Actes de la Conférence ``Théorie des Nombres et Applications'' (2011)
2010
On mod $p$ representations which are defined over $\Bbb F_p$: II;
in Glasgow Mathematical Journal (2010), 52(2), 391--400
Computing congruences of modular forms and Galois representations modulo prime powers;
in Arithmetic, geometry, cryptography and coding theory 2009 (2010)
2009
Tame Galois realizations of $ GL_2(\Bbb F_l)$ over $\Bbb Q$;
in Journal of Number Theory (2009), 129(5), 1056--1065
Parametrization of abelian $K$-surfaces with quaternionic multiplication;
in Comptes Rendus. Mathématique (2009), 347(23-24), 1325--1330
An extension result of CR functions by a general Schwarz re ection principlein Complex Variables and Elliptic Equations (2009), 54
On modular symbols and the cohomology of Hecke triangle surfacesin International Journal of Number Theory (2009), 5(1), 89--108
2008
On the failure of the Gorenstein property for Hecke algebras of prime weight;
in Experimental Mathematics (2008), 17(1), 37--52
On the generation of the coefficient field of a newform by a single Hecke eigenvalue; ;
in Journal de Théorie des Nombres de Bordeaux (2008), 20(2), 373--384
On projective linear groups over finite fields as Galois groups over the rational numbersin Modular forms on Schiermonnikoog (2008)
2007
Multiplicities of Galois representations of weight onein Algebra and Number Theory (2007), 1(1), 67--85
On the faithfulness of parabolic cohomology as a Hecke module over a finite fieldin Journal für die Reine und Angewandte Mathematik (2007), 606
2004
2001
Undated
Verification of the Quillen conjecture in the rank 2 imaginary quadratic case;
E-print/Working paper (n.d.)
