Publications
Published Papers
(ordered by arXiv initial submission date with the most recent at the top)
Finite almost simple groups whose holomorph contains a solvable regular subgroup
To appear in Adv. Group Theory Appl.
A generalization of Ito's theorem to skew braces
J. Algebra 642 (2024), 367–399.
(doi:10.1016/j.jalgebra.2023.12.012) (MathSciNet:4685185) (zbMath:07791770) (arXiv:2305.10081)
Finite $p$-groups of class two with a small multiple holomorph
(w/ A. Caranti) J. Group Theory 27 (2024), no. 2, 345–381.
(doi:10.1515/jgth-2023-0054) (MathSciNet:4710052) (zbMath:07812020) (arXiv:2303.10638)
Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension
Bull. Lond. Math. Soc. 55 (2023), no.5, 2324–2340.
(doi:10.1112/blms.12860) (MathSciNet:4672898) (zbMath:07774940) (arXiv:2210.14689)
Finite $p$-groups of class two with a large multiple holomorph
(w/ A. Caranti) J. Algebra 617 (2023), 476–499.
(doi:10.1016/j.jalgebra.2022.11.013) (MathSciNet:4520719) (zbMath:7635023) (arXiv:2205.15205)
Hopf-Galois structures on cyclic extensions and skew braces with cyclic multiplicative group
Proc. Amer. Math. Soc. Ser. B 9 (2022), 377–392.
(doi:10.1090/bproc/138) (MathSciNet:4500760) (zbMath:07615713) (arXiv:2112.08894)
Finite skew braces with isomorphic non-abelian characteristically simple additive and circle groups
J. Group Theory 25 (2022), no. 2, 389–410.
(doi:10.1515/jgth-2021-0044) (MathSciNet:4388366) (zbMath:07483875) (arXiv:2009.00266)
The multiple holomorph of split metacyclic $p$-groups
Comm. Algebra 50 (2022), no. 10, 4269–4287.
(doi:10.1080/00927872.2022.2059079) (MathSciNet:4447460) (zbMath:07557689) (arXiv:2004.07084)
Hopf-Galois structures on finite extensions with quasisimple Galois group
Bull. Lond. Math. Soc. 53 (2021), no. 1, 148–160.
(doi:10.1112/blms.12407) (MathSciNet:4224519) (zbMath:07367025) (arXiv:2001.05718)
The multiple holomorph of a semidirect product of groups having coprime exponents
Arch. Math. (Basel) 115 (2020), no. 1, 13–21.
(doi:10.1007/s00013-020-01439-2) (MathSciNet:4105008) (zbMath:7207322) (arXiv:1912.06781)
Hopf-Galois structures on finite extensions with almost simple Galois group
J. Number Theory 214 (2020), 286–311.
(doi:10.1016/j.jnt.2020.04.003) (MathSciNet:4105712) (zbMath:07206995) (arXiv:1911.10336)
On the multiple holomorph of groups of squarefree or odd prime power order
J. Algebra 544 (2020), 1–28.
(doi:10.1016/j.jalgebra.2019.10.019) (MathSciNet:4023139) (zbMath:1445.20003) (arXiv:1906.08513)
On the multiple holomorph of a finite almost simple group
New York J. Math. 25 (2019), 949–963.
(article) (MathSciNet:4012575) (zbMath:07118596) (arXiv:1904.09754)
On the solvability of regular subgroups in the holomorph of a finite solvable group
(w/ Chao Qin) Internat. J. Algebra Comput. 30 (2020), no. 2, 253–265.
(doi:10.1142/S0218196719500735) (MathSciNet:4077413) (zbMath:07181934) (arXiv:1901.10636)
Hopf-Galois structures on a Galois $S_n$-extension
J. Algebra 531 (2019), 349–361.
(doi:10.1016/j.jalgebra.2019.05.006) (MathSciNet:3953015) (zbMath:07065958) (arXiv:1812.06419)
Hopf-Galois structures of isomorphic-type on a non-abelian characteristically simple extension
Proc. Amer. Math. Soc. 147 (2019), no. 12, 5093–5103.
(doi:10.1090/proc/14627) (MathSciNet:4021072) (zbMath:1441.16039) (arXiv:1811.11399)
Non-existence of Hopf-Galois structures and bijective crossed homomorphisms
J. Pure Appl. Algebra 223 (2019), no. 7, 2804–2821.
(doi:10.1016/j.jpaa.2018.09.016) (MathSciNet:3912948) (zbMath:07032786) (arXiv:1805.10830)
The number of $D_4$-fields with monogenic cubic resolvent ordered by conductor
(w/ Stanley Xiao) Trans. Amer. Math. Soc. 374 (2021), no. 3, 1987–2033.
(doi:10.1090/tran/8260) (MathSciNet:4216730) (zbMath:07313203) (arXiv:1712.08552)
On the self-duality of rings of integers in tame and abelian extensions
Acta Arith. 191 (2019), no. 2, 151–171.
(doi:10.4064/aa180628-6-12) (MathSciNet:4008638) (zbMath:07118314) (arXiv:1703.03217)
Binary quartic forms with bounded invariants and small Galois groups
(w/ Stanley Xiao) Pacific J. Math. 302 (2019), no. 1, 249–291.
(doi:10.2140/pjm.2019.302.249) (MathSciNet:4028773) (zbMath:07178921) (arXiv:1702.07407)
Galois module structure of the square root of the inverse different over maximal orders
Bull. Lond. Math. Soc. 49 (2017), no. 1, 71–88.
(doi:10.1112/blms.12015) (MathSciNet:3653102) (zbMath:1433.11129) (arXiv:1607.07214)
Realizable classes and embedding problems
J. Théor. Nombres Bordeaux 29 (2017), no. 2, 647–680.
(doi:10.5802/jtnb.995) (MathSciNet:R3682483) (zbMath:1420.11135) (arXiv:1602.02342)
On the realizable classes of the square root of the inverse different in the unitary class group
Int. J. Number Theory 13 (2017), no. 4, 913–932.
(doi:10.1142/S1793042117500476) (MathSciNet:3627689) (zbMath:1377.11116) (arXiv:1509.06129)
On the Galois module structure of the square root of the inverse different in abelian extensions
J. Number Theory 160 (2016), 759–804.
(doi:10.1016/j.jnt.2015.09.010) (MathSciNet:3425233) (zbMath:1396.11127) (arXiv:1407.4175)
Non Peer-Reviewed Papers
Skew brace の加法群と乗法群の関係性について (in Japanese)
To appear in RIMS Kôkyûroku (数理解析研究所講究録)
Preprints
Representation theory of skew braces (w/ Yuta Kozakai)
The multiple holomorph of centerless groups
Submitted
Theses
Galois module structures and Hopf-Galois structures on extensions of number fields
On the Galois module structure of the square root of the inverse different in abelian extensions
Doctoral thesis, University of California, Santa Barbara, 2016.
Advisor: Adebisi Agboola
(thesis) (advancement) (defense)
Non-Math Publication
Learning Japanese as a foreign language in the context of an American university: a qualitative and process-oriented study on de/motivation at the learning situation level
Foreign Lang. Ann. 45 (2012), 130–163. (doi:10.1111/j.1944-9720.2012.01167.x)