Nils Matthes' website

Nils Matthes

I have left academia. This page will be no longer updated.

Here you can find my CV, my thesis, the slides of my defense, and a case study introducing my field of research to non-specialists.

Preprints

A note on the Gauss-Manin connection for abelian schemes (w. T.J. Fonseca). arXiv:2201.06402.

Realizations of the formal double Eisenstein space (w. H. Bachmann, U. Kühn). arXiv:2109.04267.

Publications

Meromorphic modular forms and the three-loop equal-mass banana integral (w. J. Broedel, C. Duhr), to appear in JHEP.

Iterated primitives of meromorphic quasimodular forms for SL2(Z). Trans. Amer. Math. Soc. 375 (2022), pp. 1443--1460.

Towards algebraic iterated integrals on elliptic curves via the universal vectorial extension (w. T. J. Fonseca). RIMS Kokyuroku, no. 2160 (2020), 114--125.

An algebraic characterization of the Kronecker function. Res. Math. Sci. 6 (2019), no. 3, Paper No. 24, 13 pp.

On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products (w. K. Tasaka). Kyushu J. Math. 73 (2019), no. 2, 337--356.

The meta-abelian elliptic KZB associator and periods of Eisenstein series. Selecta Math. (N.S.) 24 (2018), no. 4, 3217--3239.

On the algebraic structure of iterated integrals of quasimodular forms. Algebra & Number Theory 11 (2017), no.9, 2113--2130.

Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes (w. J. Broedel, G. Richter, O. Schlotterer). J.Phys.A. 51 (2018), no. 28, 285401.

Decomposition of elliptic multiple zeta values and iterated Eisenstein integrals. RIMS Kokyuroku, no. 2015 (2017), 170--183.

Elliptic multizetas and the elliptic double shuffle relations (w. P. Lochak, L. Schneps). Int. Math. Res. Not. IMRN 2021, no. 1, 695--753.

Elliptic double zeta values. J. Number Theory 171 (2017), 227--251.

Relations between elliptic multiple zeta values and a special derivation algebra (w. J. Broedel, O. Schlotterer). J. Phys. A. 49 (2016), no. 15, 155203, 49pp.

Elliptic multiple zeta values and one-loop superstring amplitudes (w. J. Broedel, C.R. Mafra, O. Schlotterer). J. High Energy Phys. 2015, no. 7, 112, front matter+41 pp.

Teaching

Graduate course Introduction to Hodge theory (w. T. J. Fonseca), University of Oxford, Trinity Term 2021

Graduate course Differential Galois Theory, University of Oxford, Trinity Term 2020.

Graduate course Multiple Zeta Values, University of Oxford, Trinity Term 2019.

Mini course Around integrals of modular forms for SL_2(Z), ETH-ITS Zurich, February 2019.

Organization

Together with Didier Lesesvre (Lille), Jasmin Matz, and Morten Risager (Copenhagen), I organize the Masterclass: Relative trace formulae at University of Copenhagen.

Together with Martijn Hidding, Henrik Johansson, Oliver Schlotterer and Bram Verbeek (Uppsala), I organized Elliptics '21 at Uppsala University.

Together with Henrik Bachmann (Nagoya), I am organizing the Japan Europe Number Theory Exchange (JENTE) online seminar.

Together with Francis Brown and Erik Panzer (Oxford), I organized the workshop Arithmetic and Geometric Aspects of Modular Forms at All Souls College, Oxford.

Activities

last modified: January 2022