**Office:**
WRNH
2146 |
**Phone:** (308) 865-8494 |
**Email:** huangj2@unk.edu

Associate Professor, Department of Mathematics and Statistics, University of Nebraska at Kearney, 2018--present

Assistant Professor, Department of Mathematics and Statistics, University of Nebraska at Kearney, 2014--2018

Postdoctoral Associate, School of Mathematics, University of Minnesota-Twin Cities, 2013--2014

Ph.D. in Mathematics, University of Minnesota-Twin Cities

B.S. in Mathematics and Applied Mathematics, University of Science and Technology of China

MATH 102-02 College Algebra

MATH 310-01 College Geometry

MATH 413-01 Discrete Mathematics

Course materials and other useful resources are available on Canvas.

Office hours: 8:30--10:00 MWF, 8:30--9:20 TuTh

- MATH 123 Applied Calculus I
- MATH 115 Calculus I with Analytic Geometry
- MATH 202 Calculus II with Analytic Geometry
- MATH 250 Foundations of Math
- MATH 260 Calculus III
- MATH 310 College Geometry
- MATH 350 Abstract Algebra
- MATH 365 Complex Analysis
- MATH 404 Theory of Numbers
- MATH 864 Geometry for Teachers

- MATH 1272 Calculus II
- MATH 1372 CSE Calculus II
- MATH 2263 Multivariable Calculus

My research interests include Discrete Mathematics and its connections with other fields (more specifically, Algebraic and Enumerative Combinatorics, Combinatorial Representation Theory, and Graph Theory).

I received my Ph.D. at the University of Minnesota under the supervision of Professor Victor Reiner. My Thesis is 0-Hecke algebra actions on flags, polynomials, and Stanley-Reisner rings.

I use mathematics software such as GAP, Magma, and Sage in my research.

I am the organizer for the annual UNK Undergraduate Research Mathematics Mini-Symposium. See the schedule of this year.

- Integer Tillings and Domination Ratio,
*Combinatorics and Graph Theory Seminar,*Anhui University, June 2019. - Variations of the Catalan number from nonassociative binary operations,
*Combinatorics Seminar,*University of Wisconsin, April 2019. - Ordered set partitions and the 0-Hecke algebra,
*The 30th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC)*, Dartmouth College, July 2018. - An improved upper bound for the bondage number of graphs on surfaces,
*Graph Theory and Combinatorial Network Theory Conference,*Beijing Normal University, June 2018. - Polynomial invariants of finite groups of sparse matrices,
*Public Talk*, Beijing Normal University, June 2018. - Critical groups for Hopf algebra modules,
*Great Plains Combinatorics Conference*, Kansas State University, April 2018. - 0-Hecke algebra actions on quotients of polynomial rings,
*Algebra Seminar*at University of Science and Technology of China and*Combinatorics Seminar*at Shanghai Jiao Tong University, December 2017. - Combinatorics of non-associative binary operations,
*Combinatorics Seminar*at Anhui University, China, December 2017. - Domination ratio of infinite circulant graphs,
*Graph Theory Seminar*at University of Science and Technology of China and Jiangsu Normal University, China, December 2017. - Nilpotent ideals of upper triangular matrices and Variations of the Catalan numbers,
*Algebraic Combinatorics and Mathematical Physics Seminar*, University of Nebraska--Lincoln, October 2017. - Nonassociativity of some binary operations,
*Combinatorics Seminar,*University of California San Diego, June 2017. - Nonassociativity of some binary operations,
*Midwest Combinatorics Conference*, University of Minnesota, May 2017. - Hecke algebras with independent parameters,
*AMS Spring Central Sectional Meeting*, North Dakota State University, April 2016. - Arithmetic without parentheses,
*Undergraduate Research Opportunities: Mathematics Mini-Symposium*, UNK, March 2016. - Modular Catalan numbers (joint work with N. Hein),
*Combinatorics Seminar*, University of Kansas, September 2015. - 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra,
*The 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC)*, Chicago, June 2014.

- D. Grinberg, J. Huang, and V Reiner, Critical groups for Hopf algebra modules, to appear in the
*Mathematical Proceedings of the Cambridge Philosophical Society*. - J. Huang, B. Rhoades, and T. Scrimshaw, Hall-Littlewood polynomials and a Hecke action on ordered set partitions,
*Proceedings of the American Mathematical Society*147 (2019), 1839--1850. - J. Huang and B. Rhoades, Ordered set partitions and the 0-Hecke algebra,
*Algebraic Combinatorics*1 (2018), 47--80. - J. Huang, M. Mickey, and J. Xu, The nonassociativity of the double minus operation,
*Journal of Integer Sequences*20 (2017), Article 17.10.3. - J. Huang, A uniform generalization of some combinatorial Hopf algebras,
*Algebras and Representation Theory*20 (2017) 379--431. - J. Huang, J. Lewis, and V Reiner, Absolute order in general linear groups,
*Journal of the London Mathematical Society*95 (2017) 223--247. - N. Hein and J. Huang, Modular Catalan numbers,
*European Journal of Combinatorics*61 (2017) 197--218. - J. Huang, A tableau approach to the representation theory of 0-Hecke algebras,
*Annals of Combinatorics*20 (2016) 831--868. (arXiv preprint) - J. Huang, Hecke algebras with independent parameters,
*Journal of Algebraic Combinatorics*43 (2016) 521-551. - J. Huang, 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra,
*Annals of Combinatorics*19 (2015) 293--323. - J. Huang, 0-Hecke algebra actions on coinvariants and flags,
*Journal of Algebraic Combinatorics*, 40 (2014) 245--278.

See also my Google Scholar profile and my ResearchGate profile.

I have mentored the following students through UNK's Undergraduate Research Fellows program:

- Chenli Huang, Fall 2016
- Madison Mickey, 2016--2017 (her presentation in the Undergraduate Research Mathematics Mini-Symposium)
- Jianbai Xu, 2016--2017 (his presentation in the Undergraduate Research Mathematics Mini-Symposium)
- Evan Olson, 2018--2019

The largest Known Prime Number (As of January 2018)