沙敏个人简历
基本资料
姓名：
沙敏
英文名：
Min Sha
性别：
男
出生年月：
1983年10月
籍贯：
广东龙川
学位：
博士
职称：
副研究员
研究领域：
数论及其应用
联系方式：
403办公室，shamin@scnu.edu.cn

工作经历
教育经历：
2003.9--2007.7 华南理工大学 本科 （数学与应用数学）
2007.9--2010.7 清华大学 硕士（基础数学：数论）
2010.9--2013.10 法国波尔多大学 博士（基础数学：数论）
工作经历：
2013.12.2--2016.6.26澳大利亚新南威尔士大学数学与统计学院 Postdoctoral Fellow
2016.6.27--2019.3.31 澳大利亚麦考瑞大学计算机系 Macquarie University Research Fellow
2019.4.1--2020.7.10澳大利亚新南威尔士大学数学与统计学院 Research Fellow
2020.7.29-- 华南师范大学数学科学学院 副研究员
科研项目：
1.国家自然科学基金青年科学基金项目，p-进模形式与类域构作问题，2016.1--2018.12，参加。
2.广东省自然科学基金面上项目，Mertens定理的一般形式，2019.10--2022.9，参加。
3. 澳大利亚研究理事会Discovery Early Career Researcher Award项目，DE，Linear recurrence sequences over function fields and their applications，2019.4--2022.4，因为回国工作项目已经终止，主持。
科研成果
研究兴趣广泛，涉及代数数论、椭圆曲线、有限域理论、多项式理论、算术动力系统、线性递归序列、数论中的图论问题等等。研究成果丰富，至今发表了40余篇SCI论文，发表的期刊包括：Trans Amer Math Soc, Int Math Res Notices, J Comb Theory B, Math Zeit, Moscow Math J, Canadian J Math, Rev Mat Iberoam,Finite Fields Th App, J Complexity等国际知名期刊。
科研论文
F. Barroero and M. Sha, Torsion points with multiplicatively dependentcoordinates on elliptic curves,Bulletin of the London Mathematical Society, https://doi.org/10.1112/blms.12363.https://arxiv.org/abs/1904.02474
X. Li and M. Sha, A proof of Sondow's conjecture on the Smarandache function,The American Mathematical Monthly, to appear.https://arxiv.org/abs/1907.00370
M. Sha and I.E. Shparlinski, Mobius randomness law for Frobenius traces of ordinary curves, Canadian Mathematical Bulletin,https://doi.org/10.4153/S0363.https://arxiv.org/abs/1909.00969
X. Li and M. Sha, Polynomial analogue of the Smarandache function, Journal of Number Theory,217 (2020), 320--339.https://arxiv.org/abs/1906.00510
B. Mans, M. Sha, J. Smith and D. Sutantyo, On the equational graphs over finite fields,Finite Fields and Their Applications, 64 (2020), Article 101667.https://arxiv.org/abs/1906.12054
X. Li and M. Sha, Congruence preserving functions in the residue class rings of polynomials over finite fields, Finite Fields and Their Applications, 61 (2020), Article 101604.https://arxiv.org/abs/1807.02379
S. Hu, M. Kim, P. Moree and M. Sha, Irregular primes with respect to Genocchinumbers andArtin's primitive root conjecture, Journal of NumberTheory,205 (2019), 59--80.https://arxiv.org/abs/1809.08431
P. Moree and M. Sha, Primes in arithmetic progressions and nonprimitive roots,Bulletin of the Australian Mathematical Society,100 (2019), 388--394.https://arxiv.org/abs/1901.02650
X. Li and M. Sha, Polynomial functions in the residue class rings of Dedekind domains,International Journal of Number Theory,15 (2019), 1473--1486.https://arxiv.org/abs/1704.04965
B. Mans, M. Sha, I.E. Shparlinski and D. Sutantyo, On functional graphs of quadratic polynomials,Experimental Mathematics, 28 (2019), 292--300.https://arxiv.org/abs/1706.04734
A. Ostafe, M. Sha, I.E. Shparlinski and U. Zannier, On multiplicative dependence of values of rational functions and a generalisation of the Northcott theorem,Michigan Mathematical Journal, 68 (2019), 385--407.https://arxiv.org/abs/1706.05874
S. Hu and M. Sha, On the additive and multiplicative structures of the exceptional units in finite commutative rings,Publicationes Mathematicae Debrecen, 94 (2019), 369--380. https://arxiv.org/abs/1612.04539
M. Sha, Effective results on the Skolem Problem for linear recurrencesequences, Journal of Number Theory, 197 (2019), 228--249.https://arxiv.org/abs/1505.07147
A. Dubickas and M. Sha, Multiplicative dependence of the translations of algebraic numbers,Revista Matematica Iberoamericana, 34 (2018), 1789--1808.https://arxiv.org/abs/1608.05458
A. Dubickas and M. Sha, The distance to square-free polynomials, Acta Arithmetica, 186 (2018), 243--256. https://arxiv.org/abs/1801.01240
D. Gomez-Perez, M. Sha and A. Tirkel, On the linear complexity formultidimensional sequences, Journal of Complexity, 49 (2018), 46--55.https://arxiv.org/abs/1803.03912
R. de la Breteche, M. Sha, I.E. Shparlinski and J.F. Voloch, The Sato-Tate distribution in thin parametric families of elliptic curves, Mathematische Zeitschrift, 290 (2018), 831--855.https://arxiv.org/abs/1509.03009
F. Pappalardi, M. Sha, I.E. Shparlinski and C. Stewart, On multiplicatively dependent vectors of algebraic numbers, Transactions of the American Mathematical Society, 370 (2018), 6221--6244.https://arxiv.org/abs/1606.02874
A. Ostafe, M. Sha, I.E. Shparlinski and U. Zannier, On abelian multiplicatively dependent points on a curve in a torus, Quarterly Journal of Mathematics, 69 (2018), 391--401.https://arxiv.org/abs/1704.04694
M. Sha and I.E. Shparlinski, Effective results on linear dependence forelliptic curves, Pacific Journal of Mathematics, 295 (2018), 123--144.https://arxiv.org/abs/1410.1596
A. Dubickas and M. Sha, On the number of integer polynomials with multiplicatively dependent roots, Acta Mathematica Hungarica, 154 (2018), 402--428.https://arxiv.org/abs/1707.04965
D. Gomez-Perez, A. Ostafe and M. Sha, The arithmetics of consecutive polynomial sequences over finite fields, Finite Fields and Their Applications, 50 (2018), 35--65.https://arxiv.org/abs/1509.01936
A. Dubickas, M. Sha and I.E. Shparlinski, On distances in lattices from algebraic number fields, Moscow Mathematical Journal, 17 (2017), 239--268.https://arxiv.org/abs/1703.02163
F. Luca, M. Sha and I.E. Shparlinski, On two functions arising in the study of Carmichael quotients, Colloquium Mathematicum, 149 (2017) , 179--192.https://arxiv.org/abs/1705.00388
X. Li and M. Sha, Gauss factorials of polynomials over finite fields,International Journal of Number Theory, 8 (2017), 2039--2054.https://arxiv.org/abs/1704.04972
M. Sha and I.E. Shparlinski, The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height,Indagationes Mathematicae}, 28 (2017), 306--320.https://arxiv.org/abs/1512.07301
A. Ostafe and M. Sha, Counting dynamical systems over finite fields,Contemporary Mathematics, 669 (2016), 187--203.https://arxiv.org/abs/1505.03618
S.V. Konyagin, F. Luca, B. Mans, L. Mathieson, M. Sha and I.E. Shparlinski,Functional graphs of polynomials over finite fields, Journal of Combinatorial Theory, Series B, 116 (2016), 87--122.https://arxiv.org/abs/1307.2718
A. Dubickas and M. Sha, Positive density of integer polynomials with some prescribed properties, Journal of Number Theory, 159 (2016), 27--44.https://arxiv.org/abs/1504.05144
M. Sha and I.E. Shparlinski, Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves, Acta Arithmetica, 170 (2015), 299--325.https://arxiv.org/abs/1404.0182
A. Dubickas, M. Sha and I.E. Shparlinski, Explicit form of Cassels' p-adic embedding theorem for number fields, Canadian Journal of Mathematics, 67 (2015), 1046--1064.https://arxiv.org/abs/1401.6819
A. Ostafe and M. Sha, On the quantitative dynamical Mordell-Lang conjecture,Journal of Number Theory, 156 (2015), 161--182.Corrigendum: Journal of Number Theory, 164(2016), 433--437.https://arxiv.org/abs/1501.02543
A. Dubickas and M. Sha, Counting and testing dominant polynomials,Experimental Mathematics, 24 (2015), 312--325.https://arxiv.org/abs/1407.2789
M. Sha, On the lattices from elliptic curves over finite fields, Finite Fields and Their Applications, 31 (2015), 84--107.https://arxiv.org/abs/1406.3086
M. Sha, The arithmetic of Carmichael Quotients, Periodica MathematicaHungarica, 71 (2015), 11--23.Corrigendum: Periodica Mathematica Hungarica, https://doi.org/10.1007/s10998-017-0227-7.https://arxiv.org/abs/1108.2579
A. Dubickas and M. Sha, Counting degenerate polynomials of fixed degree and bounded height, Monatshefte fur Mathematik, 177 (2015), 517--537.https://arxiv.org/abs/1402.5430
M. Sha, On the non-idealness of cyclotomic families of pairing-friendly elliptic curves, Journal of Mathematical Cryptology, 8 (2014), 417--440.https://arxiv.org/abs/1304.7169
M. Sha, Heuristics of the Cocks-Pinch method, Advances in Mathematics of Communications, 8 (2014), 103--118.https://arxiv.org/abs/1211.0971
M. Sha, Bounding the j-invariant of integral points on certain modular curves,International Journal of Number Theory, 10 (2014), 1545--1551.https://arxiv.org/abs/1210.3224
M. Sha, Bounding the j-invariant of integral points on modular curves},International Mathematics Research Notices, 2014 (2014), 4492--4520.https://arxiv.org/abs/1208.1337
A. Bajolet and M. Sha, Bounding the j-invariant of integral points onX_{ns}^{+}(p), Proceedings of the American Mathematical Society, 142 (2014), 3395--3410.https://arxiv.org/abs/1203.1187
M. Sha, Digraphs from endomorphisms of finite cyclic groups, Journal of Combinatorial Mathematics and Combinatorial Computing, 83 (2012), 105--120.https://arxiv.org/abs/1007.1712
M. Sha and L. Yin, Galois groups and genera of a kind of quasi-cyclotomic function fields}, Journal of Number Theory, 132 (2012), 2574--2581.https://arxiv.org/abs/1007.1729
M. Sha and S. Hu, Monomial dynamical systems of dimension one over finite fields, Acta Arithmetica, 148 (2011), 309--331.https://arxiv.org/abs/0910.5550
M. Sha, On the cycle structure of repeated exponentiation modulo a prime power, Fibonacci Quarterly, 49 (2011), 340--347.https://arxiv.org/abs/1101.3482