Working projects

Junehyuk Jung, Sam Sanghyun Kim, and James Rickards, Separability of embedded closed totally geodesic surfaces.

Junehyuk Jung, Insung Park, and Peter Zenz, Zelditch's trace formula and effective Bowen's theorem.

Artificial Intelligence

Junehyuk Jung (as a part of Gemini Team, Google), Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities. (2025).

Yuri Chervonyi, Trieu H. Trinh, Miroslav Olšák, Xiaomeng Yang, Hoang Nguyen, Marcelo Menegali, Junehyuk Jung, Vikas Verma, Quoc V. Le, and Thang Luong, Gold-medalist Performance in Solving Olympiad Geometry with AlphaGeometry2 (2025).

Junehyuk Jung (as a part of Gemini Team, Google), Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context (2024).

Automorphic forms and analytic number theory

Junehyuk Jung, and Min Lee, Linnik problem for Maass--Hecke cuspforms and effective multiplicity one theorem. submitted

Junehyuk Jung, and Naser Talebizadeh Sardari, Intersecting geodesics on the modular surface, Algebra & Number Theory. (2023)

Jeff Hoffstein, Junehyuk Jung, and Min Lee, Non-vanishing of symmetric cube L-functions, J. Lond. Math. Soc. (2022)

Junehyuk Jung, and Naser Talebizadeh Sardari (Appendix by Simon Marshall), Asymptotic trace formula for the Hecke operators, Math. Ann. (2020)

Junehyuk Jung, and Matthew Young, Sign changes of the Eisenstein series on the critical line, IMRN (2019)

Junehyuk Jung (Appendix A by Junehyuk Jung, and Sug Woo Shin), On the sparsity of positive-definite automorphic forms within a family, J. Anal. Math. (2016)

Junehyuk Jung, Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp forms, Comm. Math. Phys. (2016)

Junehyuk Jung, and Robert J. Lemke Oliver, Pretentiously detecting power cancellation, Math. Proc. Cambridge Philos. Soc. (2013)

Nodal geometry of eigenfunctions

Junehyuk Jung, and Steve Zelditch, 2-nodal domain theorems for higher dimensional circle bundles, J. Spectr. Theory (2024)

Junehyuk Jung, and Steve Zelditch, Topology of the nodal set of random equivariant spherical harmonics on the 3-sphere, IMRN (2021)

Junehyuk Jung, Bounding the number of nodal domains of eigenfunctions without singular points on the square, Israel J. Math. (2020)

Junehyuk Jung, and Steve Zelditch, Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein 3-folds, Ann. Inst. Fourier. (2020)

Seung uk Jang, and Junehyuk Jung, Quantum unique ergodicity and the number of nodal domains of eigenfunctions, J. Amer. Math. Soc. (2018)

Junehyuk Jung, and Steve Zelditch, Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary, Math. Ann. (2016)

Junehyuk Jung, and Steve Zelditch, Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution, J. Differential Geom. (2016)

Junehyuk Jung, Sharp bounds for the intersection of nodal lines with certain curves, J. Eur. Math. Soc. (2014)

Arithmetic hyperbolic 3 manifolds

Junehyuk Jung, and Alan Reid, Embedding closed totally geodesic surfaces in Bianchi orbifolds, to appear Math. Res. Lett.

Junehyuk Jung, On the growth of the number of totally geodesic surfaces in some hyperbolic 3-manifolds, J. Number Theory. (2019)

Discrete mathematics

Ilkyoo Choi, Junehyuk Jung, and Minki Kim, On tiling the integers with 4-sets of the same gap sequence, Discrete Math. (2018)

Economics

Junehyuk Jung, Jeong-Ho Kim, Filip Matejka, and Christopher A. Sims, Discrete Actions in Information-Constrained Decision Problems, Rev. Econ. Stud. (2019)