Publications / Preprints
Preprints
Im, Bo-Hae; Kim, Hojin; Le, Khac Nhuan; Ngo Dac, Tuan; Pham, Lan Huong: Zagier-Hoffman's conjectures in positive characteristic II, submitted, 2024.
Im, Bo-Hae; Lee, Wonwoong: On the real zeros of depth 1 quasimodular forms, submitted, 2023.
Im, Bo-Hae; Kim, Hojin; Le, Khac Nhuan; Ngo Dac, Tuan; Pham, Lan Huong: Hopf algebras and alternating multiple zeta values in positive characteristic, submitted, 2023.
Im, Bo-Hae; Kim, Hojin; Le, Khac Nhuan; Ngo Dac, Tuan; Pham, Lan Huong: Hopf algebras and multiple zeta values in positive characteristic, submitted, 2023.
Im, Bo-Hae; Kim, Hansol: Density of elliptic curves over number fields with prescribed torsion subgroups, submitted, 2022.
WonTae Hwang; Im, Bo-Hae: Jordan constants of abelian surfaces over finite fields, preprint, 2022.
Im, Bo-Hae; Lee, Wonwoong: Non-holomorphic Eisenstein series for certain Fuchsian groups and class numbers, submitted, 2022.
Im, Bo-Hae; Kim, Hojin; Lee, Wonwoong: On the common zeros of quasi-modular forms for $\Gamma_0^+(N)$ of level $N=1,2,3$, submitted, 2022.
Im, Bo-Hae; Kim, Hojin; Le, Khac Nhuan; Ngo Dac, Tuan; Pham, Lan Huong: Zagier-Hoffman's conjectures in positive characteristic, submitted, 2022.
Accepted
Choi, SoYoung; Im, Bo-Hae: Zeros of the combination of the Eisenstein series for Γ+0(2), 2023, to appear in The Ramanujan Journal. https://doi.org/10.1007/s11139-024-00836-3
2024
Choi, SoYoung; Im, Bo-Hae: 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.
Im, Bo-Hae; Kim, Hansol: 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
Im, Bo-Hae; Michael Larsen; Sailun Zhan: A hyperelliptic curve mapping to specific elliptic curves, Israel J. Math., Vol.257 (Dec. 22, 2023), pp.409-431.
Im, Bo-Hae; Koenig, Joachim: 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; Im, Bo-Hae; Hansol Kim: A classification of the automorphism groups of polarized abelian threefolds over finite fields, Finite Fields Appl., Vol. 83, October 2022, Paper No. 102082.
Im, Bo-Hae; Kim, Hojin: 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.
Choi, SoYoung; Im, Bo-Hae: On the zeros of period functions associated to the Eisenstein series for Γ+0(N), J. Number Theory, Vol.234 (May 2022), pp.200-239.
2021
Im, Bo-Hae; Lee, Wonwoong: The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series, The Ramanujan Journal, Vol.56, Issue 3 (December 2021), p.865-889 (Online published on Feb.17, 2021).
Im, Bo-Hae; Larsen, Michael: 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.
Choi, SoYoung; Im, Bo-Hae: The number of zeros of certain combinations of the Eisenstein series for Γ+0(2), J. Number Theory, Vol.223 (June 2021), pp.101-131.
2020
Im, Bo-Hae; Larsen, Michael: Waring's problem for rational functions in one variable, Quart. J. Math. 71 (2020), 439–449.
2019
Choi, SoYoung; Im, Bo-Hae: 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.
Choi, SoYoung; Im, Bo-Hae: 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.
Chung, Jiman; Im, Bo-Hae: Average Values on the Jacobian variety of a hyperelliptic curve, Bull. Korean Math. Soc. 56, no. 2 (March 2019), pp.333-349.
Choi, SoYoung; Im, Bo-Hae: 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.
Im, Bo-Hae; Kim, Byoung Du: Ranks of rational points of the Jacobian varieties of hyperelliptic curves, J. Number Theory, Vol.195 (Feb.2019), pp.23-50.
2018
Choi, SoYoung; Im, Bo-Hae: Bounds for the coefficients of cusp forms for $\Gamma_0(3)$, J. Number Theory, Vol. 188 (July 2018), pp. 48-70.
Im, Bo-Hae; Kim, Hansol: 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.
Im, Bo-Hae; Wallace, Erik: Rank gain of Jacobian varieties over finite Galois extensions, J. Number Theory, Vol. 184 (March 2018), pp. 68-84.
2017
Im, Bo-Hae; Jeon, Daeyeol; Kim, Chang Heon: Normalizers of Intermediate congruence subgroups of the Hecke subgroups, Open Math., Vol.15, Issue 1 (2017), 787-799.
Choi, SoYoung; Im, Bo-Hae: 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
Im, Bo-Hae; Jeon, Daeyeol; Kim, Chang Heon: Notes on Weierstrass points on modular curves $X_0(N)$, Taiwanese J. Math., Vol.20, No.6, (Dec. 2016), pp.1275-1293.
Choi, SoYoung; Im, Bo-Hae: On the zeros of certain weakly holomorphic modular forms for $\Gamma_0^+(2)$, J. Number Theory, Vol. 166 (Sept. 2016), pp.298-323.
Choi, SoYoung; Im, Bo-Hae: 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.
Im, Bo-Hae; Jeon, Daeyeol; Kim, Chang Heon: Weierstrass points on certain modular groups, J. Number Theory, Vol. 160, (March 2016), pp. 586-602.
2015
Choi, SoYoung; Im, Bo-Hae: 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.
Im, Bo-Hae; Larsen, Michael: 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
Choi, SoYoung; Im, Bo-Hae: The zeros of certain weakly holomorphic Drinfeld modular forms, Manuscripta Math., Volume 144, Issue 3-4, (July 2014), pp 503-515.
Im, Bo-Hae: 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
Im, Bo-Hae, Larsen, Michael: 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.
Im, Bo-Hae, Larsen, Michael: Infinite rank of elliptic curves over Qab, arXiv:1202.1187, Acta Arith. 158 (2013), no. 1, 49–59.
Bender, Andreas; Im, Bo-Hae; Yoonjin Lee: Additive thin bases for monic polynomials in Fq[x], Bull. Korean Math. Soc. 50 (2013), no. 2, 399–405.
Im, Bo-Hae: Concordant pairs in arithmetic progressions and elliptic curves, Proc. Amer. Math. Soc. 141 (2013), no. 3, 791–800.
Im, Bo-Hae: Positive rank quadratic twists of four elliptic curves. J. Number Theory, 133 (2013), no. 2, 492–500.
2012
Im, Bo-Hae; Yoonjin Lee: The unit rank of dihedral quintic extensions, Manuscripta Math. Vol.137, No.1-2 (Jan.2012) p.107-127. 2011
2011
Cha, Byungchul; Im, Bo-Hae: Chebyshev's bias over Galois extensions of global function fields, 2011, J. Number Theory, Vol.131, Vol. 10 (2011), p1875-1886.
Im, Bo-Hae; Larsen, Michael: 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; Im, 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
Im, Bo-Hae; Lozano-Robledo, Alvaro: On products of quadratic twists and ranks of elliptic curves over large fields, J. London Math. Soc. 79(1) (2009) p.1-14.
2008
Im, Bo-Hae; Larsen, Michael: Generalizing a Theorem of Richard Brauer, arXiv:0802.3809, J. Number Theory, Vol.128, Issue 12 (2008), 3031-3036.
Im, Bo-Hae; Larsen, Michael: Abelian varieties over cyclic fields, Amer. J. Math. Vol. 130, no. 5 (October 2008), 1195-1210, arXiv:math.NT/0605444.
Breuer, Florian; Im, Bo-Hae: 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
Im, Bo-Hae: 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
Im, Bo-Hae: 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.
Im, Bo-Hae; Larsen, Michael: Weak approximation for linear systems of quadrics, J. Number Theory, Vol.119, no.1 (2006) 148-154, arXiv: math.NT/0306265
Im, Bo-Hae:The rank of elliptic curves with rational 2-torsion points over large fields, Proc. Amer. Math. Soc., Vol.134, no.6 (2006), 1623-1630.
Im, Bo-Hae; Larsen, Michael: Open conditions for infinite multiplicity eigenvalues on elliptic curves, J. Algebra, Vol.299, no.2 (2006), 707-713, arXiv: math NT/0503156.
2005
Im, Bo-Hae: 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.