11



Experimentation in the Schubert Calculus
with
Abraham Martín del Campo.
arXiv.org/1308.3284.
"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.


12


13


14


15


16


17


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


18


19



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


20


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


21


22


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


23


24


25


26



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


27


28


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30


31


32


33


34


35


36


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38



Dense Fewnomials
with Korben Rusek
and Jeanette Shakalli.
Randomization, Relaxation, and Complexity, Leonid Gurvits, Philippe Pébay,
J. Maurice Rojas, and David Thompson, eds.,
Contemporary Mathematics 556, AMS, 2011, pp. 167–186.


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43



Solving Schubert Problems with LittlewoodRichardson Homotopies,
with Ravi Vakil and
Jan Verschelde.
Proceedings of the 2010 International Symposium on Symbolic
and Algebraic Computation, edited by Stephen M. Watt, pages 179186, ACM 2010.


44



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.


45



A Skew LittlewoodRichardson rule from Hopf algebras
with Thomas Lam and Aaron Lauve.
IMRN,
doi:10.1093/imrn/rnq104, Published June 2, 2010.


46



Some geometrical aspects of control points for toric patches
with Gheorghe Craciun
and Luis Garcia, in
Mathematical Methods for Curves and Surfaces,
Lecture Notes in Computer Science 5862, Springer 2010, 111–135.


47


48



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


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51


52


5
53


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55




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


56


57


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59




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


60


61


62




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,
and Andrew J. Sommese. 1520, Springer, New York, 2007.


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68




Experimentation and conjectures in the real
Schubert calculus for flag manifolds,
with James Ruffo,
Yuval Sivan, Evgenia Soprunova,
Experimental Mathematics, 15, No. 2 (2006), 199221.


69




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


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71


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75


76




Quiver Coefficients are Schubert Structure Constants, with
Anders Buch
and
Alex Yong,
Mathematics
Research Letters, Volume 12, Issue 4, (2005) 567–574.


77


78


79


80


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82




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.
(Proceedings of AGGM, Vilnius, Lithuania.)


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93




Rational curves on Grassmannians:
systems theory, reality, and transversality,
In "Advances in Algebraic Geometry Motivated by Physics",
ed. by Emma Previato,
Contemporary Mathematics, 276, 2001, pp. 942.


94


95




Some real and unreal enumerative geometry for flag manifolds,
Michigan Math
Journal, 48 (2000) pp. 573592.


96


97




Real Schubert Calculus: Polynomial systems and a conjecture of
Shapiro and Shapiro,
Experimental Mathematics, 9,
Number 2, (2000), pp. 161182.
An archive of the
computations and Maple scripts for some proofs.


98


99




Pieritype formulas for maximal isotropic
Grassmannians via triple intersections,
Colloquium
Mathematicum, 82 (1999), pp. 4963.


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104


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107




Enumerative geometry for real varieties,
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
discussion of work of Ronga, Tognoli, and Vust.


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Tableau switching: algorithms and applications,
with Georgia Benkart and Jeff Stroomer,
J. Combin. Th. Ser.
A, 76, (1996), pp. 1143.


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