Recent preprints
- The Lattice of Amoebas, with T. de Wolff
arXiv:1711.02705.
- New subexponential fewnomial hypersurface bounds,
with M. Nisse
and J. Maurice Rojas,
arXiv:1710.00481.
- On transformations of A-hypergeometric functions,
with L. F. Matusevich
and A. Sobieska,
to appear in Funkcialaj Ekvacioj,
arXiv:1703.03036.
- On the multivariate Fujiwara bound for exponential sums, submitted,
arXiv:1612.03738.
- On dimer models and coamoebas,
to appear in Ann. Inst. Henri Poincaré D,
arXiv:1602.01826.
- Discriminant amoebas and lopsidedness, to appear in Journal of Commutative Algebra.
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Published Papers
In reverse chronological order.
- Defective dual varieties for real spectra,
J. Algebraic Combin., in press,
doi:10.1007/s10801-018-0816-4,
arXiv:1710.02434.
- Lopsided approximation of amoebas,
with L. F. Matusevich,
N. Mehlhop, and
T. de Wolff,
Math. Comp., to appear, doi:10.1090/mcom/3323,
arXiv:1608.08663.
(An implementation can be found
here.)
- Coamoebas of polynomials supported on circuits,
in Analysis Meets Geometry, The Mikael Passare Memorial Volume
(Andersson, Boman, Kiselman, Kurasov, and Sigurdsson, eds.),
Trends in Mathematics, Birkhäuser, Basel, 2017, pp. 191–212,
doi:10.1007/978-3-319-52471-9_13,
arXiv:1601.05468.
- On the parametric behavior of A-hypergeometric series,
with C. Berkesch Zamaere
and L. F. Matusevich,
Trans. Amer. Math. Soc., in press,
doi:10.1090/tran/7071,
arXiv:1603.08954.
- A tropical analog of Descartes' rule of signs,
with D. Novikov
and B. Shapiro,
Int. Math. Res. Notices 2017 (2017), no. 12, 3726–3750,
doi:10.1093/imrn/rnw118, arXiv:1510.03257.
- Hypergeometric functions for projective toric curves,
with C. Berkesch Zamaere
and L. F. Matusevich,
Adv. Math. 300 (2016), 835–867,
doi:10.1016/j.aim.2016.03.032,
arXiv:1412.3957.
- Could Renè Descartes have known this?,
with B. Shapiro
and V. P. Kostov, Exp. Math. 24 (2015), no. 4, 438–448,
doi:10.1080/10586458.2015.1030051,
arXiv:1501.00856.
(1501_Descartes.nb.)
- On the order map for hypersurface coamoebas,
with P. Johansson, Ark. Mat. 53 (2015), no. 1, 79–104,
doi:10.1007/s11512-013-0195-y,
arXiv:1205.2014.
- Coamoebas and line arrangements in dimension two,
with P. Johansson, Math. Z. 278 (2014), no. 1–2, 25–38,
doi:10.1007/s00209-014-1303-9.
- Euler–Mellin integrals and A-hypergeometric functions,
with C. Berkesch and M. Passare,
Michigan Math. J. 63 (2014), no. 1, 101–123,
doi:10.1307/mmj/1395234361,
arXiv:1103.6273.
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