Dr. Andreas Mono

1. A modular framework of generalized Hurwitz class numbers (with Olivia Beckwith)

preprint, submitted for publication

arxiv.org:2403.17829

2. Central L-values of newforms and local polynomials (with Joshua Males, Larry Rolen, and Ian Wagner)

preprint, submitted for publication

arxiv.org:2306.15519

3. Linear congruence relations for exponents of Borcherds products (with Badri Vishal Pandey)

preprint, submitted for publication

arxiv.org:2301.11184

4. A modular framework of functions of Knopp and indefinite binary quadratic forms (with Kathrin Bringmann)

preprint, submitted for publication

arxiv.org:2208.01451

5. Local Maaß forms and Eichler-Selberg type relations for negative weight vector-valued mock modular forms (with Joshua Males)

Pacific Journal of Mathematics 322 (2023), no. 2, 381--406

https://doi.org/10.2140/pjm.2023.322.381

6. Locally harmonic Maaß forms of positive even weight

Israel Journal of Mathematics (to appear)

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

7. Higher depth mock theta functions and q-hypergeometric series (with Joshua Males and Larry Rolen)

Forum Mathematicum 33 (2021), no. 4, 857--866

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

8. Eisenstein series of even weight k>=2 and integral binary quadratic forms

Proceedings of the American Mathematical Society 150 (2022), 1889--1902

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

9.  Multidimensional small divisor functions

Integers 21 (2021), Paper No. A104

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

10. Polar harmonic Maaß forms and holomorphic projection (with Joshua Males and Larry Rolen)

International Journal of Number Theory 18 (2022), no. 9, 1975--2004

https://doi.org/10.1142/S1793042122501019

11.  On a conjecture of Kaneko and Koike

preprint

arxiv.org:2005.06882

• My PhD thesis

• My Master thesis 

• 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 during the Spring and Fall semester 2024.

• 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.

• Mentor of a very talented teenager in Analysis I, II and III, Fall semester 2021, Spring Semester 2022, Fall Semester 2022.

• Referee:

1. Archiv der Mathematik (two times)

2. International Journal of Number Theory

3. Proceedings of the American Mathematical Society

4. Research in the Mathemaical Sciences

5. Research in Number Theory (three times) 

6. The Ramanujan Journal (three times)

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

• 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.

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

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

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

Lecturer / Instructor:

• "Number Theory", Fall semester 2024

• "Accelerated Calculus II", Spring semester 2024

• ''Linear Algebra II'', Spring Semester 2021.

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

Coordinator:

• ''Elementary Number Theory'', Spring Semester 2022.

• ''Algebra'', Fall Semester 2021.

• ''Linear Algebra II'', Spring Semester 2021.

• ''Linear Algebra I'', Fall Semester 2020.

 Co-supervised student theses:

• ''Zagiers weight 3/2 mock modular Eisenstein series'', Jakob Sauer, Bachelor thesis, 2022--2024.

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

• ''Supercongruences'', Hei Loi Lin, Bachelor thesis, 2021.

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

Co-supervised student seminars:

•  ''Theta functions'', Fall semester 2022. 

•  ''Modular forms'', Spring semster 2020.

Teaching assistant:

• "Accelerated Calculus II", Fall semester 2023

• ''Algebra'', Fall semester 2022. 

• ''Algebra'', Fall semester 2021. 

• ''Linear Algebra II'', Spring Semester 2021.

• ''Linear Algebra I'', Fall Semester 2020.

• ''Complex Analysis'', Spring Semester 2020.

• ''Complex Analysis'', Fall Semester 2018.

• ''Measure and Integration'', Spring Semester 2018.

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

• ''Analysis II'', Spring Semester 2017.

• ''Analysis I'', Fall Semester 2016.