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Real Algebraic Geometry for Geometric Constraints,
For the CRC Handbook on Geometric Constraint Systems, 2016.
ArXiV.org/1606.03127.


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Semialgebraic Splines
with
Michael Di Pasquale
and Lanyin Sun.
Computer Aided Geometric Design, 55, (2017), 29–47.


14


15



Equivariant cohomology theories and the pattern map,
with H. Praise Adeyemo.
Houston Journal of Mathematics, 43 (2017), 375–393.


16



Experimentation in the Schubert Calculus
with
Abraham Martín del Campo.
"Schubert Calculus — Osaka 2012", ed. by
H.Naruse, T.Ikeda, M.Masuda, and T.Tanisaki,
Advanced Studies in Pure Mathematics 71, Mathematical Society of Japan, 295–336, 2016.


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Double transitivity of Galois Groups in Schubert Calculus of Grassmannians
with Jacob White.
Algebraic Geometry, 2, Issue
4 (September 2015), 422—445.


23


24



Higher convexity of coamoeba complements,
with Mounir Nisse,
Bulletin of the London Mathematical Society, 47, No. 5 (2015), 853—865.


25


Algebraic Geometry,
Princeton Companion to Applied Mathematics, ed. N.J. Higham,
570—579.


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Higher convexity for complements of tropical varieties,
with Mounir Nisse,
Mathematische Annalen,
365 (2016), No 1, pp. 1–12.


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Nonarchimedean coamoebae,
with Mounir Nisse,
in Tropical and NonArchimedean Geometry, Contemporary Mathematics,
605 (2013). 73–91.


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Dense Fewnomials
with Korben Rusek
and Jeanette Shakalli.
Randomization, Relaxation, and Complexity, Leonid Gurvits, Philippe Pébay,
J. Maurice Rojas, and David Thompson, eds.,
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Solving Schubert Problems with LittlewoodRichardson Homotopies,
with Ravi Vakil and
Jan Verschelde.
Proceedings of the 2010 International Symposium on Symbolic
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49



Experimentation at the Frontiers of Reality in Schubert Calculus
with
Chris Hillar,
Luis GarcíaPuente,
Abraham Martín del
CampoSanchez,
James Ruffo,
Zach Teitler,
and Stephen L. Johnson.
Contemporary Mathmematics, 317, Amer. Math. Soc., Providence, RI, 2010, pp. 365380.


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A Skew LittlewoodRichardson rule from Hopf algebras
with Thomas Lam and Aaron Lauve.
IMRN,
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Some geometrical aspects of control points for toric patches
with Gheorghe Craciun
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Lecture Notes in Computer Science 5862, Springer 2010, 111–135.


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Frontiers of Reality in Schubert Calculus
Bulletin of the AMS, 47, No 1. (2010), 3171.


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(Theorems of Brion,
Lawrence, and Varchenko on rational generating functions for cones),
with Matthias Beck
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Mathematical Intelligencer, 31 (2009), No. 1, 917.


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Line problems in nonlinear computational geometry,
with
Thorsten Theobald.
Surveys on Discrete and Computational Geometry  Twenty Years
Later, Contemporary Mathematics, 453 AMS, 2008, 411432.


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Sharpness of fewnomial bound and the number of components
of a fewnomial hypersurface,
with
Frédéric Bihan and
J. Maurice Rojas.
IMA Volume 146: Algorithms in
Algebraic Geometry edited by Alicia Dickenstein, FrankOlaf Schreyer,
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Experimentation and conjectures in the real
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with James Ruffo,
Yuval Sivan, Evgenia Soprunova,
Experimental Mathematics, 15, No. 2 (2006), 199221.


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Cremona Convexity, Frame Convexity, and a Theorem
of Santaló,
with Jacob
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Andreas Holmsen,
Richard Pollack,
and
Kristian Ranestad.
Advances in Geometry,
6, No. 3, (2006), 301–322.


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Quiver Coefficients are Schubert Structure Constants, with
Anders Buch
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Alex Yong,
Mathematics
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Toric ideals, real toric varieties, and the algebraic moment map,
in Topics in Algebraic Geometry and Geometric Modeling, ed. by
R. Goldman and R. Krasuaskas, Contemp. Math. 334,
2003. pp. 225–240.
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Rational curves on Grassmannians:
systems theory, reality, and transversality,
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Some real and unreal enumerative geometry for flag manifolds,
Michigan Math
Journal, 48 (2000) pp. 573592.


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Real Schubert Calculus: Polynomial systems and a conjecture of
Shapiro and Shapiro,
Experimental Mathematics, 9,
Number 2, (2000), pp. 161182.
An archive of the
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Pieritype formulas for maximal isotropic
Grassmannians via triple intersections,
Colloquium
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in Algebraic Geometry, Santa Cruz 1995, ed. by János Kollár,
Proceedings and Symposia in Pure Mathematics, 61, No. 1,
AMS 1997. pp. 435447.
An appendix contains further
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with Georgia Benkart and Jeff Stroomer,
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Pieri's formula for flag manifolds and Schubert polynomials,
Annales de l'Institut Fourier,
46 (1996), pp. 89110.
Lemma 15 in the published version has a typo, e_{j} should be e_{w(j)}.


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