Contact

Department of Mathematics and Statistics
State University of New York at Albany
1400 Washington Ave,
Catskill 399
Albany, NY 12222
Office: CK343
Email: czhong AT albany.edu
Phone: 518 442 4629

Education

08/2005 - 08/2011
University of Southern California
Advisor: Prof. Thomas Geisser
Degree: PhD in Pure Math

09/2001 - 06/2005
Zhejiang University (Hangzhou, China)
Advisor: Prof. Wong, Shiu-chun
Degree: Bachelor's Degree in Science

Employments

09/2021-                SUNY Albany, Associate Professor,
09/2015-08/2021   SUNY Albany, Assistant Professor,
07/2013-06/2015   University of Alberta, PIMS Postdoctoral Fellow, Mentors: Vladimir Chernousov and Stefan Gille
07/2011-06/2013   Fields Institute and University of Ottawa, Fields Postdoctoral Fellow, Mentor: Kirill Zainoulline

Publications and preprints

(All of my papers can be found on arXiv), but they may not be the latest versions.

1. On the torsion of Chow groups of twisted Spin-flags, (with S. Baek and K. Zainoulline),
    Math. Res. Lett., 20 (2013), no. 4, 601-614, Erratum
2. On the gamma-filtration of oriented cohomology of complete spin-flags
    J. Pure Appl. Algebra, 218 (2014), no.7, 1291-1301.
3. Comparison of Dualizing Complexes
    J. Reine Angew. Math., 695 (2014), 1-39.
4. Invariants, Exponents and Formal Group Laws, (with J. Malagon-Lopez and K. Zainoulline),
    J. Algebra, 409 (2014), 244-264.
5. On the formal affine Hecke algebra
    J. Inst. Math. Jussieu , 14 (2015), no. 4, 837-855.
6. Equivariant oriented cohomology of flag varieties, (with B. Calmes and K. Zainoulline),
    Doc. Math., Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday (2015), 113-144.
7. Milnor-Witt K-theory of local rings, (with S. Gille and S. Scully),
    Adv. Math., 286 (2016), 729-753.
8. A coproduct structure on the formal affine Demazure algebra, (with B.Calmes and K. Zainoulline),
    Math. Zeitschrift, 282 (2016) (3), 1191-1218.
9. Geometric representations of the formal affine Hecke algebra, (with G. Zhao)
    Adv. Math., 317 (2017), 50-90.
10. Push-pull operators on the formal affine Demazure algebra and its dual, (with B. Calmes and K. Zainoulline),
    Manuscripta Math. , 160 (2019), no. 1-2, 9-50.
11. Formal affine Demazure and Hecke algebras associated to Kac-Moody root systems, (with C. Calmes and K. Zainoulline),
    Alg. Rep. Theory, 23 (2020), no.3, 1031-1050.
12. Parabolic Kazhdan-Lusztig basis, Schubert classes and equivariant oriented cohomology, (with C. Lenart and K. Zainoulline),
    J. Inst. Math. Jussieu , 19 (2020), no. 6, 1889-1929
13. On K-theoretic stable bases of Spinger resolutions, (with C. Su and G. Zhao),
    Ann. Sci. Éc. Norm. Supér., (4) 53 (2020), no. 3, 663-711.
14. Wall-crossings and a categorification of K-theory stable bases of the Springer resolution, (with C. Su and G. Zhao),
    Compositio Math., 157 (2021), no. 11, 2341-2376.
15. On Equivariant Oriented Cohomology of Bott-Samelson Varieties, (with H. Li),
    New York J. Math. 27 (2021), 1443-1464.
16. Elliptic affine Hecke algebras and their representations, (with G. Zhao),
    Adv. Math. 395. (2022), Paper No. 108077, 75 pp.
17. Geometric properties of the Kazhdan-Lusztig basis, (with C. Lenart, C. Su, K. Zainoulline),
    Algebra Number Theory , 17 (2023), no. 2, 435–464.
18. Structure Constants in equivariant oriented cohomology of flag varieties, (with R. Goldin),
    Math. Zeitschrift , to appear.
19. The Leray-Hirsch Theorem for equivariant oriented cohomology of flag varieties, (with M. Douglass),
    submitted. arXiv: 2009.05902
20. Equivariant oriented homology of the affine Grassmannian,
    submitted. arXiv: 2301.13056
21. Elliptic classes via the periodic Hecke module and its Langlands dual, (with C. Lenart and G. Zhao),
    submitted. arXiv: 2309.09140
22. A Langlands duality of elliptic Hecke algebras, (with G. Zhao),
    preprint. arXiv: 2310.13460
23. On the Peterson subalgebra and its dual, (with R. Xiong and K. Zainoulline),
    preprint. arXiv: 2312.03965

Conference Proceedings

1. On the torsion of Chow group of twisted complete spin flags, Workshop on algebraic K-theory and motivic cohomology, Oberwolfach Reports, Vol. 9, Issue 2, pp. 963-1913
2. Hecke-type algebras and equivariant oriented cohomology of flag varieties, Workshop on Algebraic cobordism and homogeneous varieties, Oberwolfach Reports, Vol. 13, Issue 1, pp. 244-247
3. Stable bases of the Springer resolution and representation theory, (with C. Su), Springer Proceedings in Mathematics & Statistics, to appear.

Conferences Organized

09/2023, Special Session on Representation Theory and Flag Varieties, AMS Fall Eastern Sectional Meeting
04/2023, NEWAC50AWM Northeast Women in Algebra and Combinatorics Conference Celebrating the 50th Anniversary of the Association of Women in Mathematics (in-person)
06/2022, Special Session on Geometry and homogeneous spaces and beyond, 2022 CMS Summer Meeting, St John's, Newfoundland, Canada.
11/2021, NEWAC50AWM Northeast Women in Algebra and Combinatorics Conference Celebrating the 50th Anniversary of the Association of Women in Mathematics (online)
03/2021, Special Session on Recent Advances in Schubert Calculus and Related Topics, AMS Spring Eastern Sectional Meeting
04/2016, Equivariant generalized Schubert calculus and its applications, University of Ottawa

Teaching

at SUNY-Albany

Spring 2022, AMAT326, Classical Algebra
Spring 2022, AMAT820, Topics in Algebra
Fall 2021, AMAT326, Classical Algebra
Fall 2021, AMAT520B, Algebra II
Spring 2021, AMAT326, Classical Algebra
Spring 2021, AMAT520A, Algebra I
Fall 2020, AMAT326, Classical Algebra
Fall 2020, AMAT524, Advanced Linear Algebra
Spring 2020, AMAT326, Classical Algebra
Spring 2020, AMAT820, Topics in Algebra
Fall 2019, AMAT520B, Algebra II
Fall 2019, AMAT299, Introduction to Proofs I
Spring 2019, AMAT520A, Algebra I
Spring 2019,  AMAT326, Classical Algebra
Fall 2018, AMAT820, Topics in Algebraic Geometry
Fall 2018,  AMAT327, Elementary Abstract Algebra
Spring 2018,  AMAT326, Classical Algebra
Spring 2018, AMAT721, Homological Algebra
Fall 2017,  AMAT327, Elementary Abstract Algebra
Fall 2017,  AMAT524, Advanced Linear Algebra
Spring 2017, AMAT820, Topics in Algebraic Geometry
Spring 2017,  AMAT326, Classical Algebra
Fall 2016,  AMAT424, Advanced Linear Algebra
Fall 2016,   AMAT326, Classical Algebra
Spring 2016,   AMAT312, Basic Analysis
Spring 2016,   AMAT 214, Calculus of Several Variables
Fall 2015,  AMAT 112, Calculus I

At University of Alberta

Summer 2014,  MATH 225 B1, Linear Algebra II
Winter 2014,  MATH 115 U1, Calculus II
Fall 2013,   MATH 125 B1, Linear Algebra I

At Ottawa University

Fall 2012,  MAT1300D, Mathematical Methods I
Winter 2012,  MAT1341D, Introduction to Linear Algebra
Fall 2011,  Reading course in Algebraic Geometry
Fall 2011,  MAT1308A, Introduction to Calculus

At USC

Fall 2010,  Math 125, Calculus I
Spring 2009,  Math 126, Calculus II
Fall 2008,  Math 125, Calculus I
Fall 2007,  Math 400, Discrete Mathematics
Spring 2007,  Math 225, Linear Algebra and Linear Differential
Fall 2006,  Math 225, Linear Algebra and Linear Differential Equations