Fernando Rodriguez Villegas
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articles
2019-
The Tutte polynomial and toric Nakajima quiver varieties
(joint with T. Abdelgadir and A. Mellit)
arxiv -
Independence Polynomials and Hypergeometric Series
(joint with D. Radchenko)
arxiv -
Mixed Hodge numbers and factorial ratios
arxiv -
A case of the Rodriguez Villegas conjecture
(appendix to paper by T. Chinburg, E. Friedman, J. Sundstrom)
arxiv
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Locally free representations of quivers over commutative Frobenius algebras
(joint with T. Hausel and E. Letellier)
arxiv -
Hypergeometric supercongruences
(joint with D. Roberts)
arxiv -
P-adic hypergeometrics
arxiv -
Goursat rigid local systems of rank four
(joint with Danylo Radchenko)
arxiv
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Combinatorics and Geometry
(invited talk at the Mathematical Congress of the Americas)
pdf -
Vertex operators and character
varieties
(with E. Carlsson)
arxiv
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Cohomology of large semiprojective hyperkaehler varieties
(joint with T. Hausel)
arxiv -
Torus orbits on homogeneous varieties and Kac polynomials of quivers
(joint with P. Gunnells and E. Letellier)
arxiv
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Positivity of Kac polynomials and DT-invariants of
quivers
(joint with Tamas Hausel and Emmanuel Letellier)
arxiv
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Arithmetic harmonic analysis on character and quiver varieties II
(joint with T. Hausel and E. Letellier and an appendix by G. Harcos)
arxiv -
On the divisibility of $#Hom(\Gamma,G)$ by $|G|$
(joint with C. Gordon)
arxiv -
A refinement of the A-polynomial of quivers
arxiv
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On the bilinear structure associated to the skew Bezoutian
(joint with F. Jouve)
arxiv
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Some classical p-adic analysis
(Summary of talk at Oberwolfach July 2009)
pdf -
The structure of bivariate rational hypergeometric functions
(joint with E. Cattani and A. Dickenstein)
arxiv -
Topology of character varieties and representations of quivers
(joint with Tamas Hausel and Emmanuel Letellier)
arxiv
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Counting Quiver Representations over Finite Fields Via Graph Enumeration
(joint with Geir Helleloid)
arxiv -
Arithmetic harmonic analysis on character and quiver varieties
(joint with Tamas Hausel and Emmanuel Letellier)
arxiv
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Integral ratios of factorials and algebraic hypergeometric functions
(Summary of talk at Oberwolfach 2005)
dvi pdf -
Lattice polygons, Hecke operators and the Ehrahrt polynomial
(joint with P. Gunnells)
pdf -
Computing central values of L-series
dvi pdf -
Counting colorings on a variety
dvi pdf -
Computation of central value of quadratic twists of modular
L-functions
(joint with Z. Mao and G. Tornaria)
dvi pdf
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Mixed Hodge polynomials of character varieties
(joint with Tamas Hausel with an appendix by N. Katz)
arxiv
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Estimates for Mahler's measure of a linear form
(joint with R. Toledano and J. Vaaler)
pdf -
Computation of central value of quadratic twists of modular
L-functions
(joint with A. Pacetti with an appendix by B. Gross)
dvi pdf
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Hypergeometric families of CY threefolds
pdf -
Calabi Yau manifolds over finite fields II
(joint with P. Candelas and X. de la Ossa)
pdf -
Calabi Yau manifolds over finite fields I
(joint with P. Candelas and X. de la Ossa)
pdf
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Mahler measure and the Dilogarithm I
(joint with David Boyd)
dvi ps slides -
Identities between Mahler measures
pdf -
On the zeros of certain polynomials
pdf -
Blet, a mathematical puzzle
(joint with L. Sadun and J. F. Voloch)
pdf
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Explicit models of genus 2 curves with split CM
pdf ps -
Lattice polygons and the number 12
(joint with B. Poonen)
ps pdf
gif (picture of the 16 classes of reflexive polygons). -
Convergence acceleration of alternating series
(joint H. Cohen and D. Zagier)
pdf
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On certain plane curves with many integral points
(joint with F. Voloch)
dvi pdf -
Modular Mahler Measures
dvi ps -
Concordant sequences and integral-valued entire functions
(joint with J. Pila)
pdf -
Central values of Hecke L-functions of CM number fields
(joint with T. Yang)
pdf
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On the Tate-Shafarevich group of certain elliptic curves
(joint with F. Hajir)
pdf
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Explicit elliptic units I
(joint with F. Hajir)
pdf
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Which primes are sum of two cubes?
(joint with D. Zagier)
pdf
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On the Taylor coefficients of theta functions of CM elliptic curves
pdf
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Square root formulas for central values of Hecke L-series II
pdf -
The congruences of Clausen-von Staudt and Kummer for half-integral
weight Eisenstein series
pdf -
Square root formulas for central values of Hecke L-series
(joint with D. Zagier)
pdf
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On the square root of the special value of certain L-functions
(thesis)
pdf
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Relations between quadratic forms and certain Galois extensions
pdf
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Quaternionic extensions and rotations
(in Spanish)
pdf
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Extensiones Cuaternionicas
(in Spanish)
pdf