Profiles

Jonas Bergström

Docent, Stf prefekt

Visa sidan på svenska
Works at Department of Mathematics (incl. Math. Statistics)
Telephone 08-16 45 63
Email jonasb@math.su.se
Visiting address Roslagsvägen 101, Kräftriket, hus 5-6
Room 410
Postal address Matematiska institutionen 106 91 Stockholm

Teaching

PhD-students
Stefano Marseglia (link to his homepage)


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

Research

Webpage containing traces of Hecke operators on spaces of Siegel modular forms of degree 2 and 3

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 3 and level 1, and of genus 2 and level 1 or 2.

Some links

The Algebra and geometry seminar Fall 2018 (KTH and SU)

The Stockholm Number Theory Seminar (KTH and SU)

Nordic number theory network


Preprints

13.
The equivariant Euler characteristic of A_3[2]
Together with Olof Bergvall.
arxiv:1804.09628

 

Publications

12.
Hirzebruch L-polynomials and multiple zeta values
Together with Alexander Berglund.
Mathematische Annalen, 372 (1-2), (2018), 125–137
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 (with an appendix by Tomoyoshi Ibukiyama and Hidenori Katsurada).
Experimental Mathematics, 27 (2), (2018), 230-250.
arXiv:1605.00819

 

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

Last updated: September 23, 2018

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