Publications

Publications

• • On liftings of modular forms and Weil representations, submitted (2022)

  • Derivatives of L-series of weakly holomorphic cusp forms (j/w N. Diamantis). Res. Math. Sci. 9 (2022), no. 4, Paper No. 64.(https://doi.org/10.1007/s40687-022-00363-x) 

  • hilbertmodgroup: Reduction algorithms and framework for Hilbert Modular Groups. Journal of Open-Source Software, 7(72) (2022).(https://doi.org/10.1016/j.jnt.2022.02.011)

  • A reduction algorithm for Hilbert modular groups. J. Number Theory 241 (2022). (https://doi.org/10.21105/joss.03996)

  • Dimension formulas and kernel functions for Hilbert modular forms. Automorphic forms and related topics, Contemp. Math., 732, Amer. Math. Soc., [Providence], RI, [2019] (http://www.ams.org/books/conm/732/)

  • Noncongruence subgroups and Maass waveforms. J. Number Theory 199 (2019). (https://doi.org/10.1016/j.jnt.2018.11.020 )

  • A correspondence of modular forms and applications to values of L-series (j/w N. Diamantis and M. Neururer). Res. Number Theory 1 (2015), Paper No. 27.(https://link.springer.com/article/10.1007%2Fs40993-015-0029-z)

  • Weil representations associated with finite quadratic modules. Math. Z. 2012, (https://doi.org/10.1007/s00209-013-1145-x )

  • Newforms and Spectral Multiplicities for Γ0(9). Proc. of the London Math. Soc., volue 105, Issue 2 (281-310) (doi:10.1112/plms/pds004;  arXiv:1106.5741)

  • On the Rankin convolution of Siegel Cusp Forms of degree two (j/w N.-P. Skoruppa and N. Ryan). Math. Comp. 81 (2012), 2361-2376 (journal; 10.1090/S0025-5718-2012-02584-1; arXiv:1009.3198)

  • Computation of harmonic weak Maass forms (j/w J.-H. Bruinier), Exp. Math., Vol 21 (2), 2012, 117--131. (arXiv:09.12.2236v2; doi:10.1080/10586458.2012.645778)

  • The Transfer Operator for the Hecke Triangle Groups (j/w D. Mayer and T. Mühlenbruch). Discrete Contin. Dyn. Syst, Vol. 32, No. 7, 2012, 2453–2484. (doi:10.3934/dcds.2012.32.2453; arXiv:0912.2236)

  • Symbolic dynamics for the geodesic flow on Hecke triangle surfaces. Journal of Modern Dynamics (j/w D. Mayer. Volume 2, No. 4, 2008, 581--627 (doi:10.3934/jmd.2008.2.581; arXiv:0801.3951)

  • Computation of Maass Waveforms with Non-Trivial Multiplier Systems. Math. Comp., 77 (164), pp.2375-2416 (2008) (journal; doi:10.1090/S0025-5718-08-02129-7)

  • Hecke Operators for Maass Waveforms on PSL (2, Z) with Integer Weight and Eta Multiplier. International Mathematics Research Notices, Vol. 2007 (25 p.) (journal; arXiv:0611148)

Book

• Modular Forms: A Classical Approach (j/w Henri Cohen), American Mathematical Society, Graduate Studies in Mathematics, vol 179, 2017 

Book chapter

• • Maass waveforms on (\Gamma_0(N),χ) (Computational aspects), Ch. 6 in Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology, LMS Lecture Notes Series, No. 397. 2011. (publisher's site; doi:10.1017/CBO9781139108782)

Theses

• • My thesis:Computational Aspects of Maass waveforms (Official persistent urn).

  • On zeros of linear combinations of K-Bessel Functions(licentiate thesis)

  • Iterated Function Systems, The Chaos Game And Invariant Measures(MSc. thesis) (as.ps.gz)