Faculty & Staff

Nickolas Hein

Nickolas Hein

Assistant Professor
Founders Hall , 2142
(308) 865-8635
heinnj@unk.edu

Dr. Hein earned a Ph.D. in mathematics from Texas A&M University and a M.A. from the University of Kansas. I am currently teaching at the University of Nebraska at Kearney. I have taught at Texas A&M University and the University of Kansas.

Syllabi
Math 102-01 (Spring 2014)
Math 123-04 (Spring 2014)
Math 440-01 (Spring 2014)

Classes Taught at the University of Nebraska, Kearney
Linear Algebra
5 hour calculus 1
3 hour calculus 1
College algebra

Classes Taught at Texas A&M University
3 hour calculus 1
5 hour calculus 1 (TA and lab instructor)
5 hour calculus 2 (TA and lab instructor)
Functions (TA)

Classes Taught at the University of Kansas
5 hour calculus 1
5 hour calculus 2
3 hour calculus 1
3 hour calculus 2
College Algebra
Intro to college algebra

I use computational algebraic geometry and combinatorial commutative algebra to study natural questions in Schubert calculus.

I am developing software for the frontiers of reality in Schubert calculus [FRSC], a project designed to uncover reality theorems in osculating Schubert calculus.

Publications (links must be opened in a new window)

[coming soon] A congruence modulo four for symmetric Schubert problems with real isotropic flags. In Progress (with Sottile, Zelenko).
arXiv A congruence modulo four in real Schubert calculus, Crelle's Journal, 2014 (with Sottile and Zelenko).

arXiv Lower bounds in real Schubert calculus, Resenhas, 2014 (with Hillar and Sottile).

www Beyond the Shapiro Conjecture and Eremenko-Gabrielov lower bounds. Data Set, 2013 (with Sottile).

arXiv Certifiable numerical computations in Schubert calculus, Extended Abstract presented at MEGA 2013 (with Hauenstein and Sottile).

arXiv The secant conjecture in the real Schubert calculus, Experimental Mathematics, 2012 (with García-Puente, Hillar, Martín del Campo, Ruffo, Sottile, Teitler).

arXiv The monotone secant conjecture in the real Schubert calculus. Extended Abstract in MEGA 2011 preceedings (with Hauenstein, Hillar, Martín del Campo, Sottile, Teitler).

www Beyond the Shapiro Conjecture and Eremenko-Gabrielov lower bounds. Preliminary Data Set, 2010 (with Hauenstein, Martín del Campo, Sottile).