Dr. Andreas Mono

1. A. Mono, A modular framework for generalized Hurwitz class numbers III, preprint (2025), submitted for publication (31 pages)

arXiv.org:2504.17640

2. K. Bringmann, A. Mono and L. Rolen, Flipping operators and locally harmonic Maass forms, preprint (2025), accepted for publication in The Ramanujan Journal (Special Collection in Honor of Krishnaswami Alladi) (12 pages)

arXiv.org:2502.09359

3. O. Beckwith and A. Mono, A modular framework for generalized Hurwitz class numbers II, preprint (2024), submitted for publication (35 pages)

arXiv.org:2411.07962

4. O. Beckwith and A. Mono, A modular framework for generalized Hurwitz class numbers I, preprint (2024), submitted for publication (32 pages)

arxiv.org:2403.17829

5. J. Males, A. Mono, L. Rolen and I. Wagner, Central L-values of newforms and local polynomials, preprint (2023), submitted for publication (47 pages)

arxiv.org:2306.15519

6. B. V. Pandey and A. Mono, Linear congruence relations for exponents of Borcherds products, preprint (2023), submitted for publication (17 pages)

arxiv.org:2301.11184

7. K. Bringmann and A. Mono, A modular framework for functions of Knopp and indefinite binary quadratic forms, preprint (2022), submitted for publication (21 pages)

arxiv.org:2208.01451

8. A. Mono, Locally harmonic Maaß forms of positive even weight, Israel Journal of Mathematics 261 (2024), no. 2, 671–-694 (24 pages)

https://doi.org/10.1007/s11856-023-2592-7

9. J. Males and A. Mono, Local Maaß forms and Eichler-Selberg type relations for negative weight vector-valued mock modular forms, Pacific Journal of Mathematics 322 (2023), no. 2, 381--406 (26 pages)

Original: https://doi.org/10.2140/pjm.2023.322.381
Correction: https://doi.org/10.2140/pjm.2024.332.395

10. A. Mono, Eisenstein series of even weight k>=2 and integral binary quadratic forms, Proceedings of the American Mathematical Society 150 (2022), 1889--1902 (14 pages)

https://doi.org/10.1090/proc/15617

11. J. Males, A. Mono and L. Rolen, Higher depth mock theta functions and q-hypergeometric series, Forum Mathematicum 33 (2021), no. 4, 857--866 (10 pages)

https://doi.org/10.1515/forum-2021-0013

12. A. Mono, Multidimensional small divisor functions, Integers 21 (2021), Paper No. A104 (12 pages)

https://doi.org/10.5281/zenodo.10839396

13. J. Males, A. Mono and L. Rolen, Polar harmonic Maaß forms and holomorphic projection, International Journal of Number Theory 18 (2022), no. 9, 1975--2004 (28 pages)

https://doi.org/10.1142/S1793042122501019

14. A. Mono, On a conjecture of Kaneko and Koike, preprint (2020), 15 pages

arxiv.org:2005.06882

• My PhD thesis: updated version,  old version

• My Master thesis 

• Referee (16 times in total)

• Co-organizer of the "International conference on L-functions and automorphic forms" joint with  Larry Rolen and Jesse Thorner as part of Vanderbilt's Shanks conference series,  May 13th to May 16th 2024.

• Mentor in the Directed Reading Program at Vanderbilt University since the spring semester 2024.

• Mentor at University of Cologne, Fall semester 2021, Spring semester 2022, Fall semester 2022.

• Co-organizer of the Early Number Theory Researchers (ENTR) Workshop joint with Giulia Cesana, Ingmar Metzler, Riccardo Zuffetti and Lars Kleinemeier, October 2022.

• Co-organizer of the Early Number Theory Researchers (ENTR) Seminar joint with Giulia Cesana and Ingmar Metzler, Spring semester 2022.

• Course instructor (with Joshua Males), Junior Uni Cologne, awarded a small outreach grant, March and April 2021.

Lecturer / Instructor:

• Math 3320 / 5320 "Error-Correcting Codes and Cryptography", Vanderbilt University, Fall semester 2025

• Math 3800 / 5800 "Number Theory", Vanderbilt University, Spring semester 2025

• Math 3800 / 5800 "Number Theory", Vanderbilt University, Fall semester 2024

• Math 1301 "Accelerated Calculus II", Vanderbilt University, Spring semester 2024

• ''Linear Algebra II'', University of Cologne, Spring semester 2021.

• ''Analysis I + II'', ETH Zurich, exam preparation course, June 2016. 

Coordinator:

• ''Elementary Number Theory'', University of Cologne, Spring semester 2022.

• ''Algebra'', University of Cologne, Fall semester 2021.

• ''Linear Algebra II'', University of Cologne, Spring semester 2021.

• ''Linear Algebra I'', University of Cologne, Fall semester 2020.

 Co-supervised student theses:

• "Elliptic curves and the elliptic curve group", Ethan Sherman, Vanderbilt University, 2024

• ''The generating function of Hurwitz class numbers and its connection to mock modular forms'', Jakob Sauer, Bachelor thesis, University of Cologne, 2022--2024.

• ''Supercongruences'', Hei Loi Lin, Bachelor thesis, University of Cologne, 2021.

• ''Nonholomorphic Eisenstein series'', Lukas Gebert, Master thesis, University of Cologne, 2020.

Co-supervised student seminars:

•  ''Theta functions'', University of Cologne, Fall semester 2022. 

•  ''Modular forms'', University of Cologne, Spring semster 2020.

Teaching assistant:

• Math 1301 "Accelerated Calculus II", Vanderbilt University, Fall semester 2023

• ''Algebra'', University of Cologne, Fall semester 2022. 

• ''Algebra'', University of Cologne, Fall semester 2021. 

• ''Linear Algebra II'', University of Cologne, Spring semester 2021.

• ''Linear Algebra I'', University of Cologne, Fall semester 2020.

• ''Complex Analysis'', University of Cologne, Spring semester 2020.

• ''Complex Analysis'', ETH Zurich, Fall semester 2018.

• ''Measure and Integration'', ETH Zurich, Spring semester 2018.

• ''Complex Analysis'', awarded by the Mathematicians and Physicists Association at ETH Zurich, ETH Zurich, Fall semester 2017.

• ''Analysis II'', ETH Zurich, Spring semester 2017.

• ''Analysis I'', ETH Zurich, Fall semester 2016.

• 37th Automorphic Forms Workshop, University of North Texas , May 01, 2025.

• Algebra and Combinatorics Seminar, Tulane University, April 23 2025.

• Joint Mathematics Meetings 2025, Seattle, January 9 and 10 2025.

• Algebra, Geometry, and Number Theory Seminar, University of South Carolina, September 27 2024. 

• International Conference on Modular Forms and q-Series , University of Cologne, Speedtalk, March 12 2024.

• The web of modularity, Clifford lectures, Tulane University, February 24 2024.

• Vanderbilt Undergraduate Seminar in Mathematics,  Vanderbilt University, October 24, 2023.

• Palmetto Number Theory Series XXXVI, in memoriam of Kevin James, Clemson University, October 21, 2023.

• Vanderbilt Number Theory Seminar, Vanderbilt University, October 3, 2023.

• 35th Automorphic Forms Workshop, Louisiana State University, May 24, 2023.

• Ramanujan-Serre Seminar, University of Virginia, September 16, 2022.

• Ramanujan and Euler: Partitions, mock theta functions, and q-series, July 22, 2022.

• 100 Years of Mock Theta Functions, Vanderbilt University, Speedtalk, May 23, 2022.

• Young Scholars in the Analytic Theory of Numbers and Automorphic Forms (Fantasy), University of Bonn, March 28, 2022.

• 34th Automorphic Forms Workshop, awarded a small amount of prize money, March 18, 2022.

• JENTE seminar, November 09, 2021.

• CDE Seminar,  June 14, 2021.

• International Seminar on Automorphic Forms, April 20, 2021.

• Number Theory Lunch Seminar, Max Planck Institute Bonn, February 10, 2021.

• Oberseminar Geometrische Analysis und Zahlentheorie, Paderborn, February 02, 2021.

• PhD Seminar Geometrische Analysis und Zahlentheorie, Paderborn, January 28, 2021.

• 37th Automorphic Forms Workshop, April 2025.

• Research visit to Tulane University, New Orleans, USA, April 2025.

• Joint Mathematics Meetings 2025, January 2025.

• Research visit to University of Cologne during December 2024.

• Bayou Arithmetic Research Days, October 2024.

• International Conference on Modular Forms and q-Series , March 2024.

• The web of modularity, Clifford lectures, February 2024.

• Palmetto Number Theory Series XXXVI, in memoriam of Kevin James, October 2023.

• 35th Automorphic Forms Workshop, May 2023.

• Research visit to University of Virginia, Charlottesville, USA, during September 2022.

• Research visit to Vanderbilt University, Nashville, USA, during August 2022.

• 100 Years of Mock Theta Functions, May 2022.

• Young Scholars in the Analytic Theory of Numbers and Automorphic Forms (Fantasy), March 2022.

• 34th Automorphic Forms Workshop, March 2022.

• 5th Number Theory Meeting, October 2021.

• New connections in number theory and physics, May 2021.