Publications

Preprints

• S. Herrero, Ö. Imamoglu, A.-M. v. Pippich, M. Schwagenscheidt: Special values of Green's functions on hyperbolic 3-space. arXiv:2405.01219 [math.NT]

• A. Aryasomayajula, J. Kramer and A.-M. v. Pippich: Sup-norm bounds for Jacobi cusp forms. arXiv:2404.13625 [math.NT]

• M. Grados and A.-M. v. Pippich: Self-intersection of the relative dualizing sheaf on modular curves X(N). arXiv:22056.11437 [math.NT].

• B. Jung and von A.-M. v. Pippich: The arithmetic volume of the moduli space of abelian surfaces. arXiv:2205.11864 [math.AG].

• A.-M. v. Pippich: A Kronecker limit type formula for elliptic Eisenstein series. arXiv:1604.00811 [ math.NT].

• P. Majumder and A.-M. v. Pippich: Bounds for canonical Green's functions associated to cofinite Fuchsian subgroups at cusps. Preprint 2024.

• A.-M. v. Pippich: Fourier expansions of hyperbolic and elliptic Eisenstein series. Preprint in Preparation.

• D. Klein and A.-M. v. Pippich, Kronecker limit formulas for generalized Eisenstein series. Preprint in Preparation.

Articles

• A.-M. v. Pippich, M. Schwagenscheidt and F. Völz: Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products. J. Number Theory (225), 2021, 18-58.

• G. Freixas i Montplet and A.-M. v. Pippich: Riemann-Roch isometries in the non-compact orbifold setting. J. Eur. Math. Soc. (JEMS), 22 (11), 2020, 3491-3564. 

• S. Herrero and A.-M. v. Pippich: Mock modular forms whose shadows are Eisenstein series of integral weight. Math. Res. Lett., 27 (2), 2020, 435-463.

• J. Jorgenson, L. Smajlovic and A.-M. v. Pippich: Applications of Kronecker's limit formula for elliptic Eisenstein series. Ann. Math. Qué., 43 (1), 2019, 99-124.

• S. Herrero, Ö. Imamoglu, A.-M. v. Pippich and A. Toth: A Jensen-Rohrlich type formula for the hyperbolic 3-space. Trans. Amer. Math. Soc., 371 (9), 2019, 6421-6446.

• K. Bringmann, B. Kane and A.-M. v. Pippich: Regularized inner products of meromorphic modular forms and higher Green's functions. Commun. Contemp. Math., 21 (5), 2019, 1-35. 

• M. Grados and A.-M. v. Pippich:  On scattering constants of congruence subgroups. In: J. H. Bruinier, W. Kohnen (eds.), L-functions and automorphic forms. Contrib. Math. Comput. Sci, vol 10. Springer International Publishing, 2017, 115-137.

• J. Jorgenson, L. Smajlovic and A.-M. v. Pippich: On the wave representation of hyperbolic, elliptic, and parabolic Eisenstein series. Adv. Math. 288, 2016, 887-921.

• J. Kramer and A.-M. v. Pippich: Elliptic Eisenstein series for PSL_2(Z). In: D. Goldfeld, J. Jorgenson, P. Jones, D. Ramakrishnan, K.A. Ribet, J. Tate (eds.), Number Theory, Analysis, and Geometry. In Memory of Serge Lang. Springer-Verlag New York, 2012, 397-435.

• J. Jorgenson, J. Kramer and A.-M. v. Pippich: On the spectral expansion of hyperbolic Eisenstein series. Math. Ann. 346 (4), 2010, 931-947.

• D. Garbin and A.-M. v. Pippich: On the behaviour of Eisenstein series through elliptic degeneration. Comm. Math. Phys. 292 (2), 2009, 511-528.

Books

• J. Kramer and A.-M. v. Pippich: Von den natürlichen Zahlen zu den Quaternionen. Basiswissen Zahlbereiche und Algebra. Springer Spektrum, Wiesbaden, 2. Auflage, pp. xviii+288, 2022.

• J. Kramer and A.-M. v. Pippich: From natural numbers to quaternions. Springer Undergraduate Mathematics Series. Springer International Publishing, pp. x+285, 2017.

• J. Kramer and A.-M. v. Pippich: Von den natürlichen Zahlen zu den Quaternionen. Basiswissen Zahlbereiche und Algebra. Springer Spektrum, Wiesbaden, pp. viii+229, 2013.

Miscellanea

• J. Kramer and A.-M. v. Pippich: Logarithm and dilogarithm. Elem. Math. 74.1, 2019, 10-23.

• A.-M. v. Pippich: An analytic class number formula for PSL_2(Z). Oberwolfach rep. 14, no. 3, 2017, 2517--2519. Report from the workshop on automorphic forms and arithmetic, organised by V. Blomer, E. Kowalski, Ph. Michel. Report No. 40/2017. 

• A.-M. v. Pippich: Riemann--Roch isometries in the non-compact orbifold setting. Oberwolfach rep. 13, no. 2, 2016, 1297-1299. Report from the workshop on moduli spaces and modular forms, organised by J. H. Bruinier, G. van der Geer, V. Gritsenko. Report No. 23/2016. 

• J. Kramer and A.-M. v. Pippich: Special values of zeta functions and areas of triangles, Snapshot of modern mathematics from Oberwolfach, no. 10, 2015. Auch publiziert in den Notices Am. Math. Soc. 63 (2016), no. 8, 917-922.

• J. Kramer and A.-M. v. Pippich: Irrationality of √2 and Arakelov geometry. National Symposium on Mathematical Methods and Applications (NSMMA 2010). Dept. Math., Indian Institute of Technology Madras, Chennai, 2010, 58-65.

Theses

• A.-M. v. Pippich: The arithmetic of elliptic Eisenstein series. Dissertation, Humboldt-Universität zu Berlin, 2010.

• A.-M. v. Pippich: Elliptische Eisensteinreihen. Diplomarbeit, Humboldt-Universität zu Berlin, 2005.