## Research interests

- Representation theory of Lie groups and Lie algebras
- Branching laws for unitary representations
- Intertwining operators and multiplicities
- Harmonic analysis on homogeneous spaces

- Connections to
- Number theory and Automorphic forms
- Boundary value problems and Poisson transforms
- Special functions and spectral decompositions

## Preprints

*Symmetry breaking operators for real reductive groups of rank one*(joint w/ C. Weiske)

preprint (2018), available at arXiv:1812.00697.- Appendix to
*Holomorphic torsion with coefficients and geometric zeta functions for certain Hermitian locally symmetric manifolds*(by H. Moscovici and R. Stanton)

preprint (2018), available at arXiv:1802.08886. *Symmetry breaking operators for line bundles over real projective spaces*(joint w/ C. Weiske)

preprint (2017), available at arXiv:1712.06344.*A minimal representation of the orthosymplectic Lie superalgebra*(joint w/ S. Barbier)

preprint (2017), available at arXiv:1710.07271.*Symmetry breaking operators for strongly spherical reductive pairs*

preprint (2017), available at arXiv:1705.06109.*Knapp-Stein type intertwining operators for symmetric pairs II. - The translation principle and intertwining operators for spinors*(joint w/ B. Ørsted)

preprint (2017), available at arXiv:1702.02326.

## Publications

*The compact picture of symmetry breaking operators for rank one orthogonal and unitary groups*(joint w/ B. Ørsted)

to appear in Pacific J. Math., available at arXiv:1404.1171.*A Godement-Jacquet type integral and the metaplectic Shalika model*(joint w/ E. Kaplan)

Amer. J. Math.**141**(2019), no. 1, 219-282.*Upper bounds for geodesic periods over rank one locally symmetric spaces*(joint w/ F. Su)

Forum Math.**30**(2018), no. 5, 1065-1077.*The Berezin form on symmetric R-spaces and reflection positivity*(joint w/ G. Ólafsson and B. Ørsted)

Banach Center Publications**113**(2017), 135-168.*Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles*(joint w/ B. Ørsted)

Int. Math. Res. Not. IMRN**2017**(2017), no. 11, 3209-3236.*Bessel operators on Jordan pairs and small representations of semisimple Lie groups*(joint w/ B. Schwarz)

J. Funct. Anal.**272**(2017), no. 5, 1892-1955.*On boundary value problems for some conformally invariant differential operators*(joint w/ B. Ørsted and G. Zhang)

Comm. Partial Differential Equations**41**(2016), no. 4, 609-643.*Knapp-Stein type intertwining operators for symmetric pairs*(joint w/ B. Ørsted and Y. Oshima)

Adv. Math.**294**(2016), 256-306.*Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups*(joint w/ B. Ørsted and G. Zhang)

J. Geom. Anal.**26**(2016), no. 1, 118-142.*Restriction of most degenerate representations of O(1,N) with respect to symmetric pairs*(joint w/ Y. Oshima)

J. Math. Sci. Univ. Tokyo (Kodaira Centennial Issue)**22**(2015), no. 1, 279-338.*Discrete branching laws for minimal holomorphic representations*(joint w/ Y. Oshima)

J. Lie Theory**25**(2015), no. 4, 949-983.*Heat kernel analysis for Bessel operators on symmetric cones*

J. Lie Theory**24**(2014), no. 2, 373-396.*Branching laws for small unitary representations of GL(n,C)*(joint w/ B. Schwarz)

Int. J. Math.**25**(2014), no. 6, 1450052.*Minimal representations via Bessel operators*(joint w/ J. Hilgert and T. Kobayashi)

J. Math. Soc. Japan**66**(2014), no. 2, 349-414.*Structure of the degenerate principal series on symmetric R-spaces and small representations*(joint w/ B. Schwarz)

J. Funct. Anal.**266**(2014), no. 6, 3508-3542.*A geometric quantization of the Kostant-Sekiguchi correpondence for scalar type unitary highest weight representations*

Doc. Math.**18**(2013), 785-855.*Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups*(joint w/ J. Hilgert, T. Kobayashi and B. Ørsted)

J. Funct. Anal.**263**(2012), no. 11, 3492-3563.*Orthogonal polynomials associated to a certain fourth-order differential equation*(joint w/ J. Hilgert, T. Kobayashi and G. Mano)

Ramanujan J.**26**(2011), no. 3, 295-310.*Special functions associated to a certain fourth-order differential equation*(joint w/ J. Hilgert, T. Kobayashi and G. Mano)

Ramanujan J.**26**(2011), no. 1, 1-34.*An integral formula for L^2-eigenfunctions of a fourth-order Bessel-type differential operator*(joint w/ T. Kobayashi)

Integral Transforms Spec. Funct.**22**(2011), no. 7, 521-531.