Research output per year
Research output per year
Personal profile
Current research
- Using deformation theory in studying automorphic forms
- Distribution of modular symbols
- Lattice counting problems
- Selbergs small eigenvalue conjecture
Fields of interest
- Analytic number theory
- Spectral theory of automorphic forms
- Spectral deformations
- Mathematical physics
- Quantum chaos
- Modular symbols
- Eisenstein series and Poincare series
- Riemann surfaces
- Free groups
Teaching
- Linear Algebra
- Analysis
- Introduction to number theory
- Advanced complex analysis
- Analytic number theory
- Modular forms
- Elliptic curves
CV
Employment
2018- Professor, University of Copenhagen.
2009-18 Associated professor, University of Copenhagen.
2008-09 Assistant professor, University of Copenhagen.
2005-08 Steno Research Fellow, University of Aarhus.
2004-05 Member, Institute for Advanced Study, Princeton.
2003-04 Assistant professor (Adjunkt), University of Aarhus.
2003 Post Doc at Network in Mathematical Physics and Stochastics (MaPhySto), Aarhus.
2002 Visiting scholar, Max Planck Institut for Mathematics in Bonn
Education
Ph.D., Mathematics, June 18th 2003. University of Aarhus. Advisors: E. Balslev and A. B. Venkov.
Thesis title: Automorphic forms and modular symbols.
Cand. Scient, Jan 2001. University of Aarhus. Mathematics (major) and Philosophy (minor).
Keywords
- Faculty of Science
- Number theory
- Analysis
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Counting and equidistribution over primes in hyperbolic groups
Petridis, Y. N. & Risager, M. S., 2024, arxiv.org, 33 p.Research output: Working paper › Preprint
Open AccessFile1 Downloads (Pure) -
The distribution of Manin's iterated integrals of modular forms
Matthes, N. & Risager, M. S., 2024, In: Journal fur die Reine und Angewandte Mathematik. 2024, 812, p. 125-161Research output: Contribution to journal › Journal article › Research › peer-review
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Triple sums of Kloosterman sums and the discrepancy of modular inverses
Blomer, V., Risager, M. S. & Shparlinski, I. E., 2024, arxiv.org, 27 p.Research output: Working paper › Preprint
Open AccessFile -
Bounds on shifted convolution sums for Hecke eigenforms
Nordentoft, A. C., Petridis, Y. N. & Risager, M. S., 2022, In: Research in Number Theory. 8, 2, p. 1-20 26.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile4 Citations (Scopus)35 Downloads (Pure) -
Prime geodesics and averages of the Zagier L-series
Balkanova, O., Frolenkov, D. & Risager, M. S., 2022, In: Mathematical Proceedings of the Cambridge Philosophical Society. 172, p. 705–728Research output: Contribution to journal › Journal article › Research › peer-review
File4 Citations (Scopus)28 Downloads (Pure) -
Small-scale equidistribution of Hecke eigenforms at infinity
Nordentoft, A. C., Petridis, Y. N. & Risager, M. S., 2022, In: Journal of the London Mathematical Society. 106, 3, p. 2696-2729Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile15 Downloads (Pure) -
Higher Order Deformations of Hyperbolic Spectra
Petridis, Y. N. & Risager, M. S., 2021, Schrödinger Operators, Spectral Analysis and Number Theory: In Memory of Erik Balslev. Albeverio, S., Balslev, A. & Weder, R. (eds.). Springer, p. 223-239 (Springer Proceedings in Mathematics & Statistics; No. 348).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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Arithmetic statistics of modular symbols
Petridis, Y. N. & Risager, M. S., Jun 2018, In: Inventiones Mathematicae. 212, 3, p. 997-1053Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile16 Citations (Scopus)211 Downloads (Pure)