Dr. Jia Huang | Faculty & Staff | Mathematics & Statistics

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Dr. Jia Huang

Assistant Professor

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

Bibliography

Employment

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

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

Education

Ph.D. in Mathematics, University of Minnesota-Twin Cities, 2013

Teaching

Current Teaching (Fall 2017)

MATH 202-01 Calculus II with Analytic Geometry, MWF 12:20PM--1:10PM, Tues/Thurs 12:30PM--1:45PM, COPH 231

MATH 310-01 College Geometry, MWF 1:25PM--2:15PM, WRNH 2137

Course materials are available on Canvas.

Office Hours

Mo--Fr 10:30AM--11:45AM in WRNH 2146, Tues/Thurs 1:30PM--2:30PM in the Learning Commons, or by appointment

Previous Teaching at UNK

Summer 2017: MATH 123 Applied Calculus I
Spring 2017: MATH 350 Abstract Algebra, MATH 365 Complex Analysis, MATH 404 Theory of Numbers
Fall 2016: MATH 115 Calculus I with Analytic Geometry, MATH 310 College Geometry
Spring 2016: MATH 202 Calculus II with Analytic Geometry, MATH 350 Abstract Algebra
Fall 2015: MATH 115 Calculus I with Analytic Geometry, MATH 123 Applied Calculus I
Spring 2015: MATH 260 Calculus III, MATH 350 Abstract Algebra
Fall 2014: MATH 123 Applied Calculus I, MATH 202 Calculus II with Analytic Geometry

Previous Teaching at University of Minnesota

Spring 2014: MATH 1372 CSE Calculus II
Fall 2013: MATH 2263 Multivariable Calculus
Summer 2013: MATH 1272 Calculus II

Research

Research Interests

My research interests include Discrete Mathematics and its connections with other fields.

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.

Recent Presentations:

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.

Recent Publications:

A uniform generalization of some combinatorial Hopf algebras, Algebras and Representation Theory 20 (2017) 379--431. (arXiv preprint)
Absolute order in general linear groups (with Joel Lewis and Victor Reiner), Journal of the London Mathematical Society 95 (2017) 223--247. (arXiv preprint)
Modular Catalan numbers (with Nickolas Hein), European Journal of Combinatorics 61 (2017) 197--218. (arXiv preprint)
A tableau approach to the representation theory of 0-Hecke algebras, Annals of Combinatorics 20 (2016) 831--868. (arXiv preprint)
Hecke algebras with independent parameters, Journal of Algebraic Combinatorics 43 (2016) 521-551. (arXiv preprint)
0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra, Annals of Combinatorics 19 (2015) 293--323. (arXiv preprint)
0-Hecke algebra actions on coinvariants and flags, Journal of Algebraic Combinatorics, 40 (2014) 245--278. (arXiv preprint)

See also my Google Scholar profile and my ResearchGate profile.

Student Research:

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

Jianbai Xu, 2016--2017 (his presentation in the Undergraduate Research Mathematics Mini-Symposium)
Madison Mickey, 2016--2017 (her presentation in the Undergraduate Research Mathematics Mini-Symposium)