Published/Accepted papers
(with Seokho Jin) A new family of imaginary quadratic fields with class number divisible by 5 Ramanujan J. 66 (2025), no. 53
(with Joachim König) On An×Cm -unramified extensions over imaginary quadratic fields Glasg. Math. J. 66 (2024), no. 1, 119–125.
(with Seokho Jin) Another proof of Hölder's inequality J. Math. Inequal. 17 (2023), no. 1, 185–189.
(with Joachim König) On Galois extensions with prescribed decomposition groups J. Number Theory 220 (2021), 266–294.
(with Joachim König) Some examples of quadratic fields with finite nonsolvable maximal unramified extensions II, Ramanujan J. 51 (2020), no. 1, 205–228..
Construction of unramified extensions with a prescribed solvable Galois group Acta Arith. 190 (2019), no. 1, 49-56.
(with John Miller) Class numbers of large degree nonabelian number fields, Math. Comp. 88 (2019), no. 316, 973–981.
Lower bounds for discriminants of polynomials, Int. J. Number Theory. Vol. 13, No. 10 (2017) 2769–2776 .
An example of PSL_2(F_7)-maximal unramified extension of the number field, Acta Arith. 179 (2017), no. 2, 147–162.
(with Yasuhiro Kishi) A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields , Math. J. Okayama Univ. 59 (2017), 113-116.
Some examples of real quadratic fields with finite nonsolvable maximal unramified extensions. J. Number Theory 166 (2016), 235-249.
A construction of nonabelian simple etale fundamental groups II. Ramanujan J. 39 (2016), no. 1, 49-59.
Construction of unramified extensions with a prescribed Galois group. Osaka J of Math 52 (2015), 1037-1048.
Remarks on quadratic fields with noncyclic ideal class groups. Taiwanese J. Math. 19 (2015), no. 5, 1387-1399.
A construction of nonabelian simple etale fundamental group. Ramanujan J. 35 (2014), no. 1,111-120.
Preprints
Minimal number of Frobenius elements of G_{K,S} whose conjugacy classes generate the whole group $G_{K,S}$, submitted.
(with Joachim König) Remarks on the SL_2{F_5} - unramified extensions over quadratic number fields, (in preparation)