Huaiqing Zuo (左怀青)

Assistant Professor

Mathematical Sciences Center

Tsinghua University, Beijing, China

Academic Position

Assistant Professor, Mathematical Sciences Center, Tsinghua
University, 09/2013 --- present.

Education

l Research
associate Uiversity of IL at Chicago
(2012-2013)

l Ph.D. University of IL at Chicago (2010-2012)

l M.Sc. University
of IL at Chicago (2007-2010)

Research Interests

l Singularity
theory and algebraic geometry

l Algebraic
geometric codes

Publications

1. S. S.-T. Yau and H.
Zuo, Lower bound of geometric genus and Zariski
multiplicity question, 12pp. in ms., to appear, Math. Z..

2. B. Chen, H. Chen,
S. S.-T. Yau and H. Zuo, The non-existence of negative weight derivations on
positive dimensional isolated singularities: generalized Wahl conjec-ture, 23pp. in ms., to appear, J. Differential Geom..

3. N. Hussain, S.
S.-T. Yau and H. Zuo, On the derivation Lie algebras of fewnomial
singularities, 11pp. in ms., to appear, Bull. Aust. Math. Soc..

4. N. Hussain, X. Luo,
S. S.-T. Yau, M. Zhang and H. Zuo, On classication of
toric surface codes of dimension seven, 37pp. in ms., to
appear, Comm. Anal. Geom..

5. B. Chen, H. Chen,
S. S.-T. Yau and H. Zuo, Recent results on non-existence of negative weight
derivations for weighted homogeneous isolated singularities, 14pp. in ms, to appear, ICCM Notice.

6. S. S.-T. Yau and H.
Zuo, Kohn-Rossi cohomology and nonexistence of CR mor- phisms between compact
strongly pseudoconvex CR manifolds, 11pp. in ms., to
appear, J. Differential Geom..

7. K.-P. Lin, S. Raghuvanshi, S. S.-T. Yau and H. Zuo, On Yau Geometric Conjec-ture for weighted homogeneous singularities, 46pp.
in ms.,
to appear, Asian J. M. (2018).

8. A.G. Alexsandrov and H. Zuo, Zero-dimensional gradient
singularities, Methods Appl. Anal., Vol. 24, no 2, 169-184, (2017).

9. S. S.-T. Yau and H.
Zuo, Nine characterizations of weighted homogeneous isolated hypersurface singularities, Methods Appl. Anal., Vol. 24,
no 1, 155-168, (2017).

10. S. S.-T. Yau and
H. Zuo, Thom-Sebastiani properties of Kohn-Rossi cohomology of compact connected strongly pseudoconvex CR manifolds, Sci. China Math., Vol. 60,
1129-1136, (2017).

11.
B. Chen, D. Xie, S.-T.
Yau, S. S.-T. Yau and H. Zuo, 4D N=2 SCFT and ingularity
theory part II: complete intersection, Adv. Theor. Math. Phys., Vol. 21, no 1, 121-145,
(2017).

12. K.-P. Lin, A.
Yang, S. S.-T. Yau and H. Zuo, On the sharp polynomial
upper estimate conjecture in eight-dimensional simplex, Pure Appl. Math. Q., Vol 12, no 3, 353-398, (2016).

13. S. S.-T. Yau and
H. Zuo, A Sharp upper estimate conjecture for the Yau number of weighted
homogeneous isolated hypersurface singularity, Pure
Appl. Math. Q.,Vol 12, no 1,
165-181, (2016).

14. S. S.-T. Yau and
H. Zuo, Derivations of the moduli algebras of weighted homoge-neous
hypersurface singularities, J. Algebra, Vol.457,
18-25 (2016).

15. S. S.-T. Yau and
H. Zuo, Recent results on rigidity of CR morphisms between compact strongly pseudoconvex CR manifolds, Proceeding 6th ICCM. ALM 36, 173-197 (2016).

16. A. Liang, S. S.-T.
Yau and H. Zuo, A sharp upper estimate of positive integral points in
6-dimensional tetrahedra and smooth Numbers, Sci.
China Math., Vol. 59, 425-444 (2016).

17. S. S.-T. Yau, B.
Yuan and H. Zuo, On the polynomial sharp upper
estimate con-jecture in 7-dimensional simplex, J.
Number Theory, Vol. 160, 254-286 (2016).

18. S. S.-T. Yau and
H. Zuo, Interplay between CR geometry and algebraic geometry, J.E. Fornass et al. (eds.), Complex Geometry and Dynamics, Abel
Symposia 10, 227-258 (2015).

19. S. S.-T. Yau, M.
Zhang and H. Zuo, Topological classication of
simplest Goren-stein non-complete intersection singularities of dimension 2,
Asian J. Math., Vol. 19, no. 4, 651-792 (2015).

20. X. Luo, S. S.-T.
Yau, M. Zhang and H. Zuo, On classification of toric surface codes of low dimension, Finite Fields Appl.,
Vol. 33, 99-102 (2015). arXiv:1402.0060

21. K.-P. Lin, S.
S.-T. Yau and H. Zuo, Plurigenera of compact strongly
pseudoconvex CR manifolds, Sci. China Math., Vol. 58,
no. 3, 525-530 (2015).

22. X. Luo, S. S.-T.
Yau and H. Zuo, A sharp estimate of Dickman-de Bruijin func-tion and a sharp
polynomial estimate of positive integral points in 4-dimensional tetrahedron,
Math. Nachr., Vol. 288, no. 1, 61-75 (2015).

23. S. S.-T. Yau and
H. Zuo,, Complete characterization of isolated homogeneous hy-persurface
singularities, Pacific J. Math., Vol. 273, no. 1, 213-224 (2015).

24. K.-P. Lin, X. Luo,
S. S.-T. Yau and H. Zuo, On a number-theoretic
conjecture on positive integral points in a 5-dimensional tetrahedron and a
sharp estimate of the Dickma-de Bruijn
function, J. Eur. Math. Soc., Vol. 16, 1937-1966 (2014).

25. S. S.-T. Yau and
H. Zuo,, On variance of exponents for surface
singularities with modality 2, Sci.
China Math., Vol. 57, no. 1, 31-41 (2014).

26. S. S.-T. Yau and
H. Zuo,, Characterization of isolated complete intersection
sin-gularities with C*-action of dimension n >= 2
by means of geometric genus and irregularity, Comm. Anal. Geom.,
Vol. 21, no. 3, 509-526 (2013).

27. Y.-C. Tu, S. S.-T. Yau and H. Zuo,, Non-constant CR morphisms
between compact strongly pseudo-convex CR manifolds and etale
covering between resolutions of isolated singularities, J. Differential Geom.,
Vol. 95, no. 2, 337-354 (2013).

28. S. S.-T. Yau and
H. Zuo,, Lower estimate of Milnor number and characterization of isolated
homogeneous hypersurface singularities, Pacic J. Math., Vol. 260, no. 1, 245-255 (2012).

29. I. Chen, K.-P.
Lin, S. S.-T. Yau and H. Zuo,, Coordinate-free
characterization of homogeneous polynomials with isolated singularities, Comm.
Anal. Geom., Vol. 19, no. 4, 667-704 (2011).

30. L. Zhao, S. S.-T.
Yau and H. Zuo,, Biggest sharp polynomial estimate of integral points in
right-angled simplices, Topology of algebraic
varieties and singularities, Contemp. Math., A.M.S., Vol. 538, 433-467 (2011).

31. H. Zuo, P. Zhang
and X. Luo, On the parameters of two special toric surface codes, Chinese Ann. Math. Ser.
A and C 31, No. 5, 517-524 (2010).

32. S. Tan, S. S.-T.
Yau and H. Zuo, Lojasiewicz inequality for weighted homogeneous
polynomial with isolated singularities, Proc. Amer. Math. Soc.,
Vol. 138, no. 11, 3975-3984 (2010).

33. S. S.-T. Yau, Y. Yu
and H. Zuo, Classication of gradient space of
dimension 8 with a reducible sl(2,C) action, Sci. China Ser. A, Vol. 52,
no. 12, 2792-2828 (2009).

34. S. S.-T. Yau and H. Zuo, Notes on classication of toric surface codes of dimension 5, Appl. Algebra Engrg. Comm. Comput., Vol. 20, 175-185 (2009).

TEACHING TASKS

Fall 2017,
Geometry and topology of singularities.

Spring 2017,
Linear algebra II.

Fall 2016,
Singularities in algebraic varieties.

Spring 2016,
Topics in singularities of algebraic varieties.

Fall 2015,
Introduction to singularities of algebraic varieties and deformations.

Spring 2015,
Linear algebra II.

Fall 2014, Linear
algebra I.

Spring 2014,
Undergraduate math.

RESEARCH GRANTS

As PI:

2018.1-2021.12,
“Research on higher-dimensional singularities”, National Natural

Science Foundation
of China (Grant No. 11771231).

2015.10-2018.09,
“Research on some problems related to singularities of complex

analytic varieties”,
Tsinghua University Initiative Scientic Research
Program.

2015.1-2017.12,
“Various invariants for isolated singularities and applications”,

National Natural
Science Foundation of China (Grant No. 11401335).

As participant:

2016.1-2020.12,
“On local and global problems related to complex analytic variety”,

The State Key
Program of National Natural Science of China (Grant No.11531007),

PI: S. S.-T. Yau.

PROFESSIONAL
SERVICES

Organizor of International Conference on Singularity Theory and
Dynamical

Systems-in Memory of
John Mather, TSIMF, December 11-15, 2017.

Organizor of International Conference on Singularity Theory-in
Honor of

Henry Laufer's 70th Birthday, TSIMF, December 14-18, 2015.

Reviewer of
“Mathematical Reviews” American Mathematical Society.

Teaching Assistant Experience

Calculus III, Spring 2010, UIC

Pre-Calculus, Fall 2010, UIC

Calculus I, Spring 2011, UIC

Calculus II, Summer 2011, UIC

Calculus I, Fall 2011, UIC

Calculus II, Spring 2012, UIC

Calculus II, Summer 2012, UIC

Undergraduate math II, Spring 2014, Tsinghua

Contact Details

Jin Chun
Yuan West Building 139

Mathematical
Sciences Center,

Tsinghua University, Beijing 100084, China.

E-mail: hqzuo@mail.tsinghua.edu.cn