Preprints

• Bo-Hae Im; Michael Larsen; Elliptic curves and finitely generated Galois groups, submitted, 2025.

• Seokhyun Choi; Bo-Hae Im: Larsen's conjecture for elliptic curves over Q with analytic rank at most 1, submitted, 2025.

• Seokhyun Choi; Bo-Hae Im: Rank growth of abelian varieties over certain finite Galois extensions, submitted, 2024.

• Bo-Hae Im; Hojin Kim; Khac Nhuan Le; Tuan Ngo Dac; Lan Huong Pham: Zagier-Hoffman's conjectures in positive characteristic II, submitted, 2024.

• Bo-Hae Im; Hojin Kim; Khac Nhuan Le; Tuan Ngo Dac; Lan Huong Pham: Hopf algebras and alternating multiple zeta values in positive characteristic, submitted, 2023.

• Bo-Hae Im; Hojin Kim; Khac Nhuan Le; Tuan Ngo Dac; Lan Huong Pham: Hopf algebras and multiple zeta values in positive characteristic, submitted, 2023.

• Bo-Hae Im; Hansol Kim: Density of elliptic curves over number fields with prescribed torsion subgroups, submitted, 2022. 

• WonTae Hwang; Bo-Hae Im: Jordan constants of abelian surfaces over finite fields, preprint, 2022.

• Bo-Hae Im; Wonwoong Lee: Non-holomorphic Eisenstein series for certain Fuchsian groups and class numbers, submitted, 2022.

Accepted

2026

• Bo-Hae Im; Hansol Kim: Automorphism groups of the fields of definition of torsion points of an elliptic curve in characteristic p ≥ 5, Finite Fields Th. Appl., Vol.110 (Feb. 2026), Article 102737 (20 pages).

• Bo-Hae Im; Wonwoong Lee: On the real zeros of depth 1 quasimodular forms, J. Math. Anal. Appl.,  Vol. 554, Issue 2 (Feb. 2026), Article 129991 (24 pages).

2025

• Bo-Hae Im; Hansol Kim: The automorphism group of the p^n-torsion points of an elliptic curve over a field of characteristic p ≥ 5, Finite Fields Th. Appl., Vol.106 (Sept. 2025), Article 102631 (19 pages).

• SoYoung Choi; Bo-Hae Im: Interlacing of zeros of the Eisenstein series for Γ0+(2),  Acta Arith. Vol.218, no. 3 (April 2025), 231–249.

• SoYoung Choi; Bo-Hae Im: Interlacing of zeros of the Poincare series for Γ0+(2), The Ramanujan J., Vol.66, article number 9 (January 2025), pp.1-22.

2024

• Bo-Hae Im; Hojin Kim; Khac Nhuan Le; Tuan Ngo Dac; Lan Huong Pham: Zagier-Hoffman's conjectures in positive characteristic, Forum Math. Pi,  Vol.12, (Oct. 22, 2024), e18 (49 pages).

• Bo-Hae Im; Hojin Kim; Wonwoong Lee: On the common zeros of quasi-modular forms for $\Gamma_0^+(N)$ of level $N=1,2,3$, Open Math., vol. 22, no. 1, 2024, pp. 20240065. https://doi.org/10.1515/math-2024-0065 (Open access, Oct.3, 2024)

• SoYoung Choi; Bo-Hae Im: Location and double interlacing of zeros of certain combination of the Eisenstein series for~$\Gamma_0^+(2)$, 2024, J. Math. Anal. Appl.,  Vol. 537, Issue 2 (Sept. 2024), Article 128397.

• Bo-Hae Im; Hojin Kim; Khac Nhuan Le; Tuan Ngo Dac; Lan Huong Pham: Note on the linear independence of alternating multiple zeta values in positive characteristic, Acta Math. Vietnamica, Vol.49, Issue 3 (Sept. 10, 2024), pp.485--521.

• SoYoung Choi; Bo-Hae Im: Zeros of the combination of the Eisenstein series for Γ+0(2), 2023, The Ramanujan J., Vol.64, Issue 2 (June 2024), pp.475-488, https://doi.org/10.1007/s11139-024-00836-3 

• Bo-Hae Im; Hansol Kim: Growth of torsion subgroups of elliptic curves over number fields without rationally defined CM,  J. Number Theory, Vol.258 (May, 2024), pp.1-21.

2023

• Bo-Hae Im; Michael Larsen; Sailun Zhan: A hyperelliptic curve mapping to specific elliptic curves, Israel J. Math., Vol.257 (Dec. 22, 2023), pp.409-431.

• Bo-Hae Im; Joachim Koenig: Rank gain of Jacobians over number field extensions with prescribed Galois groups, Math. Nachr.  Vol. 296, Issue 4 (April, 2023), pp.1469-1482.

2022

• WonTae Hwang; Bo-Hae Im; Hansol Kim: A classification of the automorphism groups of polarized abelian threefolds over finite fields, Finite Fields Th. Appl., Vol. 83, October 2022, Paper No. 102082.

• Bo-Hae Im; Hojin Kim: Riemann hypothesis for period polynomials attached to the derivatives of L-functions of cusp forms for Γ0(N), J. Math. Anal. Appl., Vol. 509, Issue 2 (May 2022), Article 125971.

• SoYoung Choi; Bo-Hae Im: On the zeros of period functions associated to the Eisenstein series for  Γ0+(N),  J. Number Theory, Vol.234 (May 2022), pp.200-239.

2021

• Bo-Hae Im; Wonwoong Lee: The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series, The Ramanujan J., Vol.56, Issue 3 (December 2021), p.865-889 (Online published on Feb.17, 2021).

• Bo-Hae Im; Michael Larsen: Abelian varieties and finitely generated Galois groups, in Abelian Varieties and Number Theory, Contemporary Mathematics, vol. 767, Amer. Math. Soc., Providence, RI (June 2021), pp. 1-12.

• SoYoung Choi; Bo-Hae Im: The number of zeros of certain combinations of the Eisenstein series for Γ0+(2), J. Number Theory, Vol.223 (June 2021), pp.101-131.

2020

• Bo-Hae Im; Michael Larsen: Waring's problem for rational functions in one variable, Quart. J. Math. 71 (2020), 439–449.

2019

• SoYoung Choi; Bo-Hae Im: The transcendence of zeros of canonical basis elements of the space of weakly holomorphic modular forms for Γ0(2), J. Number Theory, Vol.204 (Nov. 2019), pp.423-434.

• SoYoung Choi; Bo-Hae Im: A family of weakly holomorphic modular forms for $\Gamma_0(2)$ with all zeros on a certain geodesic, Acta Arith. Vol.190 (2019), no. 1, 57–74.

• Jiman Chung; Bo-Hae Im: Average Values on the Jacobian variety of a hyperelliptic curve, Bull. Korean Math. Soc. 56, no. 2 (March 2019), pp.333-349.

• SoYoung Choi; Bo-Hae Im: A note on the non-vanishing of the Poincare series for the Fricke group $\Gamma_0^+(p)$, Proc. Japan Acad. Ser. A Math. Sci. Vol. 95 (March 2019), no. 3, pp.24-29.

• Bo-Hae Im; Byoung Du Kim: Ranks of rational points of the Jacobian varieties of hyperelliptic curves, J. Number Theory, Vol.195 (Feb.2019), pp.23-50.

2018

• SoYoung Choi; Bo-Hae Im: Bounds for the coefficients of cusp forms for $\Gamma_0(3)$, J. Number Theory, Vol. 188 (July 2018), pp. 48-70.

• Bo-Hae Im; Hansol Kim: A parametrization of $\theta$-congruent numbers with many prime factors and with prescribed prime factors, J. Math. Anal. Appl., Vol. 462, Issue 1 (June 2018), 407-427.

• Bo-Hae Im; Erik Wallace: Rank gain of Jacobian varieties over finite Galois extensions, J. Number Theory, Vol. 184 (March 2018), pp. 68-84.

2017

• Bo-Hae Im; Daeyeol Jeon; Chang Heon Kim: Normalizers of Intermediate congruence subgroups of the Hecke subgroups, Open Math., Vol.15, Issue 1 (2017), 787-799.

• SoYoung Choi; Bo-Hae Im: Interlacing of zeros of certain weakly holomorphic modular forms for $\Gamma_0^+(2)$, J. Math. Anal. Appl., Vol. 449, Issue 1 (1 May 2017) 292-313.

2016

• Bo-Hae Im; Daeyeol Jeon; Chang Heon Kim: Notes on Weierstrass points on modular curves $X_0(N)$, Taiwanese J. Math., Vol.20, No.6, (Dec. 2016), pp.1275-1293.

• SoYoung Choi; Bo-Hae Im: On the zeros of certain weakly holomorphic modular forms for $\Gamma_0^+(2)$, J. Number Theory, Vol. 166 (Sept. 2016), pp.298-323.

• SoYoung Choi; Bo-Hae Im: The location of zeros of a quasi-modular form of weight 2 for $\Gamma_0^+(p)$ for p=2,3, J. Math. Anal. Appl. Vol.438, Issue 1, (1 June 2016), pp. 73-92.

• Bo-Hae Im; Daeyeol Jeon; Chang Heon Kim: Weierstrass points on certain modular groups, J. Number Theory, Vol. 160, (March 2016), pp. 586-602.

2015

• SoYoung Choi; Bo-Hae Im: Zeros of a quasi-modular form of weight $2$ for $\Gamma_0^+(N)$, Taiwanese J. Math. Vol.19, No.5, (Oct. 2015), pp.1369-1386.

• Bo-Hae Im; Michael Larsen: Rational curves on quotients of abelian varieties by finite groups, arXiv:1306.4283, Math. Res. Letters, Vol. 22, Issue 4 (Aug. 2015), pp.1145-1157.

2014

• SoYoung Choi; Bo-Hae Im: The zeros of certain weakly holomorphic Drinfeld modular forms, Manuscripta Math., Volume 144, Issue 3-4, (July 2014), pp 503-515.

• Bo-Hae Im: Elliptic curves and the density of $theta$-congruent numbers and concordant pairs in ratios, J. Pure. Applied Alg. Vol.218, Issue 1 (Jan. 2014), p.18--26.

2013

• Bo-Hae Im; Michael Larsen: Some Applications of the Hales-Jewett Theorem to Field Arithmetic, Israel J. Math. Vol.198, Issue 1 (Nov. 2013), p.35-47, arXiv:1202.1185.

• Bo-Hae Im; Michael Larsen: Infinite rank of elliptic curves over Qab, arXiv:1202.1187, Acta Arith. 158 (2013), no. 1, 49–59. 

•  Andreas Bender; Bo-Hae Im; Yoonjin Lee: Additive thin bases for monic polynomials in Fq[x], Bull. Korean Math. Soc. 50 (2013), no. 2, 399–405.

• Bo-Hae Im: Concordant pairs in arithmetic progressions and elliptic curves, Proc. Amer. Math. Soc. 141 (2013), no. 3, 791–800.

• Bo-Hae Im: Positive rank quadratic twists of four elliptic curves. J. Number Theory, 133 (2013), no. 2, 492–500.

2012

• Bo-Hae Im; Yoonjin Lee: The unit rank of dihedral quintic extensions, Manuscripta Math. Vol.137, No.1-2 (Jan.2012) p.107-127. 2011

2011

• Byungchul Cha; Bo-Hae Im: Chebyshev's bias over Galois extensions of global function fields, 2011, J. Number Theory, Vol.131, Vol. 10 (2011), p1875-1886.

• Bo-Hae Im; Michael Larsen: Parallelopipeds of Positive Rank Twists of Elliptic Curves, arXiv:1002.2098, Indiana Univ. Math. J. Vol. 60 Issue 1 (2011), p.311-318.

• Gruendken, Linda; Hall-Seelig, Laura; Bo-Hae Im; Ozman, Ekin; Pries, Rachel; Stevenson, Katherine: Semi-direct Galois covers of the affine line, Fields Institute Communications, Vol.60, 2011, p.201-210.

2009

• Bo-Hae Im; Alvaro Lozano-Robledo: On products of quadratic twists and ranks of elliptic curves over large fields, J. London Math. Soc. 79(1) (2009) p.1-14.

2008

• Bo-Hae Im; Michael Larsen: Generalizing a Theorem of Richard Brauer, arXiv:0802.3809, J. Number Theory, Vol.128, Issue 12 (2008), 3031-3036. 

• Bo-Hae Im; Michael Larsen: Abelian varieties over cyclic fields, Amer. J. Math. Vol. 130, no. 5 (October 2008), 1195-1210, arXiv:math.NT/0605444.

• Florian Breuer; Bo-Hae Im: Heegner points and the rank of elliptic curves over large extensions of global fields, Canad. J. Math., Vol.60 (3) (2008), 481-490, arXiv:math.NT/0604107.

2007

• Bo-Hae Im: Heegner points and Mordell-Weil groups of elliptic curves over large fields, Trans. Amer. Math. Soc. Vol. 359, no.12 (2007), 6143-6154, arXiv: math NT/0411534.

2006

• Bo-Hae Im: Mordell-Weil groups and the rank of elliptic curves over large fields, Canad. J. Math. Vol.58 (4) (2006), 796-819, arXiv:mat NT/0411533.

• Bo-Hae Im; Michael Larsen: Weak approximation for linear systems of quadrics, J. Number Theory, Vol.119, no.1 (2006) 148-154, arXiv: math.NT/0306265

• Bo-Hae Im: The rank of elliptic curves with rational 2-torsion points over large fields, Proc. Amer. Math. Soc., Vol.134, no.6 (2006), 1623-1630.

• Bo-Hae Im; Michael Larsen: Open conditions for infinite multiplicity eigenvalues on elliptic curves, J. Algebra, Vol.299, no.2 (2006), 707-713, arXiv: math NT/0503156.

2005

• Bo-Hae Im: Infinite multiplicity of roots of unity of the Galois group in the representation on elliptic curves, J. Number Theory, Vol.114, no.2 (2005), 312-323.

Unpublished preprints

•  Im, Bo-Hae; Larsen, Michael: Realizing Rational Representations in Mordell-Weil Groups, arXiv:math/0401209, 2011.

• Im, Bo-Hae: Rational points of principal homogeneous spaces, preprint, 2001.

• The rank of elliptic curves over large fields, Ph.D. thesis, Indiana University, Bloomington, July 2004.

• Primary decompositioins of ideals in graded rings, M.S. thesis, Ewha Womans University, Seoul, Korea, Feb.1997.