Publications

[42] (with B.-K. Oh) Can we recover an integral quadratic form by representing all its subforms?, submitted.

[41] (with H. Li) On realization of isometries for higher rank quadratic lattices over number fields, accepted by Trans. of AMS.

[40] (with B.-K. Oh) On the exceptional sets of integral quadratic forms, accepted by Int. Math. Res. Not.

[39] (with H.C Gao and H. Li) Explicit result on equivalence of rational quadratic forms avoiding primes, J. Number Theory, 225 (2021), 281-293.

[38] (with M. Icaza) Hermite reduction and a Waring’s problem for integral quadratic forms over number fields, Trans. of AMS, 374 (2021), 2967-2985.

[37] (with L. Fukshansky) Small representations of integers by integral quadratic forms, J. Number Theory, 201 (2019), 40-52.

[36] (with C. Beli, M. Icaza, and J. Liu) On a Waring’s problem for integral quadratic and hermitian forms, Trans. of AMS, 371 (2019), 5505-5027.

[35] (with A. Marino) A finiteness theorem for positive definite strictly n-regular quadratic forms, Res. Number Theory, (2018), 4:14.

[34] (with L. Fukshansky and G. Henshaw) Totally isotropic subspaces of small height in quadratic spaces, Adv. in Geom., 16 (2016), 153-164.

[33] (with J. Ricci) The representation of integers by positive ternary quadratic polynomials, J. Number Theory, 156 (2015), 75-94.

[32] (with M. Icaza and E. Lauret) On a generalized Hermite constant for imaginary quadratic number fields, Math. Comp., 84 (2015), 1883-1900 .

[31] (with L. Fukshansky and G. Henshaw) Small zeros of quadratic forms outside a union of varieties, Trans. of AMS, 366 (2014), 5587-5612.

[30] (with B.-K. Oh) Class numbers of ternary quadratic forms, J. Number Theory, 135 (2014), 221-261.

[29] (with A. Haensch) Almost universal ternary sums of squares and triangular numbers, Quadratic and Higher Degree Forms, Developments in Mathematics, Springer Verlag, 2013.

[28] (with B.-K. Oh) Representations of integral quadratic polynomials, Contemporary Math. AMS, 587 (2013), 31-46.

[27] (with L. Fukshansky) Small zeros of hermitian forms over a quaternion algebra, Acta Arith., 142 (2010), 251-266.

[26] (with B.-K. Oh) Almost universal ternary sums of triangular numbers, Proc. of AMS, 137 (2009), 3553-3562.

[25] (with M. Icaza) Positive definite almost regular ternary quadratic forms over totally real number fields, Bull. London Math. Soc., 40 (2008), 1025-1037.

[24] (with B.-M. Kim, M.-H. Kim and B.-K. Oh) Extensions of representations of integral quadratic forms, The Ramanujan Journal, 17 (2008), 145-153.

[23] (with C. Beli) Strong approximation for quadrics and representation of quadratic forms, J. Number Theory, 128 (2008), 2091-2096.

[22] (with A. G. Earnest, M. Icaza and J.-Y. Kim) Finiteness results for regular definite ternary quadratic forms over Q(√5), Int. J. Number Theory, Vol 3, Issue 4 (2007), 541-556.

[21] (with A. Rokicki) Positive definite binary hermitian forms with finitely many exceptions, J. Number Theory, 124 (2007), 167-180.

[20] (with R. Dan Mauldin) Steinhaus tiling problem and integral quadratic forms, Proc. of AMS, 135 (2007), 337-342.

[19] (with J. Daniels) Definite regular quadratic forms over F_q[T], Proc. of AMS, 133 (2005), no. 11, 3121-3131.

[18] (with A. G. Earnest) Discriminant bounds for spinor regular ternary quadratic lattices, Journal London Math. Soc. (2) 69 (2004), 545-561.

[17] On almost strong approximation for some exceptional groups, J. Algebra, 277 (2004), no.1, 27-35.

[16] (with M. Peters) Quaternary quadratic forms and Hilbert modular surfaces, Contemporary Math. AMS, 344 (2004), 85-97.

[15] (with M. Icaza) Effective results on representations of quadratic forms, Contemporary Math. AMS, 344 (2004), 73-83.

[14] (with A. G. Earnest and B.-K. Oh) Regularity properties of positive definite integral quadratic forms, Contemporary Math. AMS, 344 (2004), 59-71.

[13] (with F. Xu) On representations of spinor genera, Compositio Math., 140 (2004), no.2, 287-300.

[12] (with B.-K. Oh) Positive ternary quadratic forms with finitely many exceptions, Proc. of AMS, 132 (2004), no.6, 1567-1573.

[11] (with B.-K. Oh) Finiteness theorems for positive definite n-regular quadratic forms, Trans. of AMS, 355 (2003), no.6, 2385-2396. (corrigendum)

[10] (with J. S. Hsia) On almost strong approximation for algebraic groups, J. Algebra, 254 (2002), no.2, 441-461.

[9] Class numbers of quaternary quadratic forms of discriminant 4p, Contemporary Math. AMS, 249 (1999), 29-41.

[8] Quaternary even positive definite quadratic forms of discriminant 4p, J. Number Theory, 76 (1999), no.2, 265-280.

[7] Spinor genera under Z_p-extension, Pacific J. Math., 185 (1998), no.2, 237-267.

[6] (with D. R. Estes and M. Jöchner) Representations of codimension ≥ 3 by definite quadratic forms, J. Number Theory, 71 (1998), 81-85.

[5] (with Y. C. Chan and M. K. Siu) Minimal rank of abelian group matrices, Linear and Multilinear Alg., 44 (1998), no.3, 277-285.

[4] (with M.-H. Kim and S. Raghavan) Ternary universal integral quadratic forms over real quadratic fields, Japanese J. Math., 22 (1996), no.2, 263-273.

[3] (with S. L. Ma and M. K. Siu) Nonexistence of certain perfect arrays, Disc. Math., 125 (1994), no.1-3, 107-113.

[2] Necessary conditions for Menon difference sets, Designs, Codes and Crypt., 3 (1993), no.2, 147-154.

[1] (with M. K. Siu) A summary of perfect s×t arrays, 1 ≤ s ≤ t ≤ 100, Electron. Lett., 27 (1991), 709-710.