Profiles

Jonas Bergström

Docent

View page in English
Arbetar vid Matematiska institutionen
Telefon 08-16 45 63
E-post jonasb@math.su.se
Besöksadress Roslagsv 101, Kräftriket, hus 5-6
Rum 410
Postadress Matematik 106 91 Stockholm

Undervisning

PhD-students
Stefano Marseglia (link to his homepage)


Former PhD-students
Olof Bergvall (link to his homepage), together with Prof. Carel Faber
 

Forskning

Webpage containing traces of Hecke operators on spaces of Siegel modular forms of degree 2

Together with Carel Faber, and Gerard van der Geer we have (with help by Gerrit Oomens) constructed a website containing dimensions and Hecke eigenvalues of spaces of Siegel modular forms of genus 2 and of level 1 and 2.

Some links

The Algebra and geometry seminar Fall 2017 (KTH and SU)

The Stockholm Number Theory Seminar (KTH and SU)

Nordic number theory network


Preprints

12.
Hirzebruch L-polynomials and multiple zeta values
Together with Alexander Berglund.
arXiv:1708.05547

 

11.
Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values
Together with Neil Dummigan and Thomas Mégarbané.
Accepted for publication in Experimental Mathematics.
arXiv:1605.00819

 

Publications

10.
Eisenstein congruences for split reductive groups
Together with Neil Dummigan.
Selecta Mathematica, 22 (3), (2016), 1073-1115.
arXiv:1502.07827

 

9.
On the cohomology of the Losev-Manin moduli space
Together with Satoshi Minabe.
Manuscripta Mathematica, 144 (1-2),  (2014), 241-252.
arXiv:1108.0338

 

8.
Siegel modular forms of degree three and the cohomology of local systems
Together with Carel Faber and Gerard van der Geer.
Selecta Mathematica, 20 (1), (2014), 83-124.
arXiv:1108.3731

 

7.
On the cohomology of moduli spaces of (weighted) stable rational curves
Together with Satoshi Minabe.
Mathematische Zeitschrift, 275 (3-4), (2013), 1095-1108.
arXiv:1111.6438

 

6.
Inversion of series and the cohomology of the moduli spaces M^{delta}_{0,n}
Together with Francis Brown.
In `Motives, quantum field theory, and pseudodifferential operators'.
Clay Math. Proc. 12, (2010), 119-126, Amer. Math. Soc., Providence.
arXiv:0910.0120

 

5.
Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves
Documenta Mathematica, 14, (2009), 259-296.
arXiv:math/0611813

 

4.
Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures
Together with Carel Faber and Gerard van der Geer.
International Mathematics Research Notices, 100, (2008).
arXiv:0803.0917

 

3.
The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three
Together with Gerard van der Geer.
Journal of Topology, 1 (3), (2008), 651-662.
arXiv:0705.0293

 

2.
Cohomology of moduli spaces of curves of genus three via point counts
Journal für die reine und angewandte Mathematik, 622, (2008), 155-187.
arXiv:math/0611815

 

1.
The rational cohomology of Mbar_4
Together with Orsola Tommasi.
Mathematische Annalen, 338,  (2007), 207-239.
arXiv:math/0506502
 

Senast uppdaterad: 27 november 2017

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