Andrew Wiles Building Radcliffe Observatory Quarter Woodstock Road Oxford, OX2 6GG, United Kingdom |
Office: N2.04 Phone: +44 1865 273538 E-Mail: nils.matthes[-at-]maths.ox.ac.uk |

I am a postdoctoral research assistant in mathematics at University of Oxford in the group of Professor Francis Brown. My research area is number theory and my interests include modular forms, elliptic curves, and their periods. I am also interested in applications of number theory to high energy physics.

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

- Iterated primitives of meromorphic quasimodular forms for SL2(Z), arXiv:2101.11491.

- Towards algebraic iterated integrals for 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.*

- 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.

last modified: January 2021