Prof. Dr. Anna-Maria von Pippich

Work
Schlossgartenstraße 7
64289
Darmstadt
Office: S2|15 426
work +49 6151 16-22467
pippich@mathematik.tu-...
Junior professor for algebra and number theory
Research interests
- Number theory, in particular the theory of automorphic forms
- Arithmetic geometry, in particular Arakelov theory
Publications
Articles
- Herrero, S. and von Pippich, A.-M.: Mock modular forms whose shadows are Eisenstein series of integral weight. Math. Res. Lett., to appear, arXiv:1809.05690 [math.NT].
- Freixas. G. and v. Pippich, A.-M.: Riemann-Roch isometries in the non-compact orbifold setting. J. Eur. Math. Soc., to appear, arXiv:1604.00284 [math.NT].
- Bringmann, K., Kane, B. and v. Pippich, A.-M.: Regularized inner products of meromorphic modular forms and higher Green's functions. Commun. Contemp. Math., 21, 2019. arXiv:1505.02812 [math.NT]
- Herrero, S., Imamoglu, Ö., v. Pippich, A.-M. and Toth, A.: A Jensen-Rohrlich type formula for the hyperbolic 3-space. Trans. Amer. Math. Soc., 371, 2019, 6421-6446.
- Grados, M. and v. Pippich, A.-M.: On scattering constants of congruence subgroups. In: J. H. Bruinier, W. Kohnen (eds.), L-functions and automorphic forms. Contributions in Mathematical and Computational Sciences, vol 10. Springer International Publishing, 2017, 115-137.
- Jorgenson, J., Smajlovic, L. and v. Pippich, A.-M.: Applications of Kronecker's limit formula for elliptic Eisenstein series. Ann. Math. Québec (2017), 1-26.
- Jorgenson, J., Smajlovic, L. and v. Pippich, A.-M.: On the wave representation of hyperbolic, elliptic, and parabolic Eisenstein series. Adv. Math. 288 (2016), 887-921.
- Kramer, J. and v. Pippich, A.-M.: 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.
- Jorgenson, J., Kramer, J. and v. Pippich, A.-M.: On the spectral expansion of hyperbolic Eisenstein series. Math. Ann. 346 (2010), no. 4, 931-947.
- Garbin, D. and v. Pippich, A.-M.: On the behaviour of Eisenstein series through elliptic degeneration. Comm. Math. Phys. 292 (2009), no. 2, 511-528.
Books
- Kramer, J. and v. Pippich, A.-M.: From natural numbers to quaternions. Springer Undergraduate Mathematics Series. Springer International Publishing, S. x+285, 2017.
- Kramer, J. and v. Pippich, A.-M.: Von den natürlichen Zahlen zu den Quaternionen. Basiswissen Zahlbereiche und Algebra. Springer Spektrum, Wiesbaden, S. viii+229, 2013.
Preprints
- v. Pippich, A.-M.: A Kronecker limit type formula for elliptic Eisenstein series. arXiv:1604.00811 [math.NT].
- v. Pippich, A.-M., Schwagenscheidt, M. and Völz, F.: Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products. arXiv:1702.06507 [math.NT].
- Grados, M. and von Pippich, A.-M.: Self-intersection of the relative dualizing sheaf on modular curves X(N). Preprint.
- Jung, B. und von Pippich, A.-M.: The arithmetic volume of the moduli space of abelian surfaces. In preparation.
Miscellanea
- Kramer, J. and v. Pippich, A.-M.: Logarithm and dilogarithm. Elem. Math. 74.1 (2019), 10-23.
- von Pippich, A.-M.: An analytic class number type formula for PSL_2(Z). Oberwolfach rep. 14 (2017), no. 3, 2517--2519. Report from the workshop on automorphic forms and arithmetic, organised by V. Blomer, E. Kowalski, Ph. Michel. Report No. 40/2017.
- von Pippich, A.-M.: Riemann--Roch isometries in the non-compact orbifold setting. Oberwolfach rep. 13 (2016), no. 2, 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.
- Kramer, J. and v. Pippich, A.-M.: 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.
- Kramer, J. and v. Pippich, A.-M.: 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
- v. Pippich, A.-M.: The arithmetic of elliptic Eisenstein series. Dissertation, Humboldt-Universität zu Berlin (2010).
- v. Pippich, A.-M.: Elliptische Eisensteinreihen. Diplomarbeit, Humboldt-Universität zu Berlin (2005).
Teaching in WiSe 2019/20
- Course Modular forms and modular curves
- Monday, 11.40-13.20, S215/234
- Thursday, 09.50-11.30, S215/234
- For more information (lecture notes, exercise classes, exercises, …) please visit the moodle-page of the course.
News
- Mathe für alle: Was Sie schon immer über Mathematik wissen wollten, aber bisher nicht zu fragen wagten: Vortrag von Prof. Wedhorn am 25.10.19
LOEWE research unit USAG
Principal Investigator in the LOEWE research unit Uniformized Structures in Arithmetic and Geometry
Teaching in past semesters
More details on the german version of this webpage.
SoSe 2019 (Vertretungsprofessorin an der Georg-August-Universität Göttingen)
- Course Algebraic geometry
- Proseminar Von den natürlichen Zahlen zu den Quaternionen
WiSe 2018/19 (Gastprofessorin an der Eberhard Karls Universität Tübingen)
- Course Algebraische Strukturen
- Course Modulformen
SoSe 2018
- Teaching release
WiSe 2017/18
- Seminar Algebraische Geometrie
SoSe 2017
- Course Algebraische Geometrie
WiSe 2016/17
- Research sabbatical
SoSe 2016
- Course Einführung in die Arakelov-Geometrie
- Exercise Class Einführung in die Arakelov-Geometrie
WiSe 2015/16
- Course Geometrie für Lehramt
SoSe 2015
- Course Spectral theory of automorphic forms
WiSe 2014/15
- Course Geometrie für Lehramt
SoSe 2014
- Course Algebraische Zahlentheorie
WiSe 2013/14
- Course Elliptische Kurven und Modulformen
- Exercise Class Elliptische Kurven und Modulformen
- Proseminar From natural numbers to quaternions
Organized conferences
- Conference and Workshop Algebraic and analytic aspects of automorphic forms (with A. Aryasomayajula, Venketasubramanian C G, J. Kramer, D. Prasad, Anandavardhanan U. K.), ICTS Bangalore, February 25-March 7, 2019
- Conference Women in automorphic forms (with C. Alfes-Neumann), TU Darmstadt, September 5-7, 2018
- Winter-Workshop of the Darmstadt Algebra group (with J. Bruinier, M. Rössler, N. Scheithauer, T. Wedhorn), Chalet Giersch, Manigod, February 18-25, 2018
- Winter-Workshop of the Darmstadt Algebra group (with J. Bruinier, S. Möller, N. Scheithauer), La Plagne, March 11-18, 2017
- Conference Arakelov theory and automorphic forms. A conference at the occasion of Jürg Kramer's 60th birthday (with G. Farkas, U. Kühn, G. Wüstholz), HU Berlin, June 06-09, 2016
- Conference Moduli and automorphic forms: a meeting for women in mathematics (with A. Ortega), HU Berlin, May 12-14, 2016
- Winter-Workshop of the Darmstadt Algebra group (with J. Bruinier, S. Möller, S. Opitz), Chalet Giersch, Manigod, March 06-13, 2016
- Winter-Workshop of the Darmstadt Algebra group (with C. Alfes, J. Bruinier, S. Möller, N. Scheithauer), Chalet Giersch, Manigod, March 01-08, 2015
- Workshop Arithmetic of Eisenstein series (with J. Bruinier), TU Darmstadt, September 22-25, 2014
- Conference Moduli and automorphic forms: a meeting for young women in mathematics (with A. Ortega), HU Berlin, May 22-24, 2014
- KOSMOS Summer University Multiple zeta values in mathematics and physics (with H. Esnault, J. Kramer, D. Kreimer), HU Berlin, October 1-5, 2013
- Workshop MATHEON meets BMS (with M. Korzec, M. Weber), Blossin, September 28-30, 2012
Doctoral students
- Miguel Grados (2013-2017), Arithmetic intersections on modular curves
- Fabian Völz (2013-2018), Realizing hyperbolic and elliptic Eisenstein series as regularized theta lifts
- Priyanka Majumder (09/2018- ), Bounds for automorphic Green's functions
- David Klein (10/2018- ), Generalized Eisenstein series for orthogonal groups
Summer school “Faszination Mathematik”
Head of the summer school “Faszination Mathematik” for mathematically talented high school students
What is …?-Seminar
Co-organizer of the What is … ? – Seminar
Math on Demand
Talks “Faszination Primzahlen!” and “Lauschen zwecklos!” for high school students or a general audience within the series Math on Demand
Elemente der Mathematik
Member of the Editorial Board of the journal Elemente der Mathematik
Former memberships
- Junior Principal Investigator (2012-2016, since 09/2014 associated) in the International DFG-Research Training Group Moduli and Automorphic Forms: Arithmetic and Geometric Aspects (GRK 1800) at the Humboldt-Universität zu Berlin
- Member (2009-2013) of the DFG-Research Center Matheon (FZT 86) in the Application Area “Education”
- Member (2007-2013) of the DFG-Graduate School Berlin Mathematical School (GSC 14)
- Scholarship Holder (2006-2008) in the International DFG-Research Training Group Arithmetic and Geometry (GRK 870) at the Humboldt-Universität zu Berlin