Search for publications listed
at MathSciNet
Papers
maintained at the Arxiv
Journals Refereed: Annals
of Combinatorics, Linear Algebra and
Applications, Computational Geometry:
Theory and Applications, Journal of Statistical
Physics, American Mathematical Monthly,
Proceedings of the American Mathematical Society,
Mathematics of Computation, IEEE
Transactions on Automatic Control.
Collaborators: Scott Armstrong,
Matthias Aschenbrenner, Luis Garcia, Charles R.
Johnson, Aaron Lauve, Lionel Levine, Elchanan
Mossel, Jiawang Nie, Yuval Peres, Maurice Rojas,
Darren Rhea, Frank Sottile, Ilya Spitkovsky, Seth
Sullevant, Troels Windfeldt.
|
(latest versions are always
the pdf links)
In progress:
26. (with S. Sullevant) Finitenss theorems
for limits of invariant polynomial rings (or something
like that anyway), in progress.
25. (with M. Rojas)
Sparse sums of squares, in progress.
24. (with F. Sottile)
Dynamic symmetric output feedback, in progress.
23. Iterated Line Intersections of Rational
Point-Sets in the Plane, in preparation.
abstract
22. (with L. Garcia)
Groebner bases and partial sums of Catalan numbers,
in progress.
21. (with M. Aschenbrenner) An algorithm
to find Groebner bases of symmetric ideals in
infinite dimensional polynomial rings, in preparation.
IMA
poster | Extended
abstract | arxiv
20 . (with L. Levine) Word equations
in groups with unique root extraction, in preparation.
19. (with A. Lauve) Uniqueness
of binomial factorizations in group algebras,
in progress. pdf
(very early draft)
Published:
18. Sums of polynomial squares over totally
real fields are rational sums of squares, Proceedings
of the American Mathematical Society, to
appear. pdf
17. (with J. Nie) An
elementary and constructive solution to Hilbert's
17th Problem for matrices, Proceedings of
the American Mathematical Society, 136
(2008), 73-76. arxiv
| pdf
16. (with T. Windfeldt). An algebraic
characterization of uniquely vertex colorable
graphs, Journal of Combinatorial Theory Series
B, 98 (2008), 400-414. pdf
| arXiv
| code
15. (with T. Windfeldt). Minimal generators
for symmetric ideals, Proceedings of the American
Mathematical Society, to appear.
arxiv
| pdf
14. (with S. Armstrong). Solvability
of symmetric word equations in positive definite
letters, Journal of the London Mathematical
Society, 76 (2007), no.
3, 777-796. arXiv
| pdf
| maple
code 1 | maple
code 2
13. Advances on the Bessis-Moussa-Villani
trace conjecture, Linear Algebra and Applications,
426 (2007), 130-142. arXiv
| pdf
| LinAlgAppl
12. (with L. Levine) Polynomial
recurrences and cyclic resultants, Proceedings
of the American Mathematical Society, 135
(2007), 1607-1618. arXiv
| pdf
| AMS
11. (with M. Aschenbrenner) Finite
generation of symmetric ideals, Transactions
of the American Mathematical Society, 359
(2007), 5171-5192. arXiv
| pdf
10. Cyclic Resultants, Journal
of Symbolic Computation, 39
(2005), 653-669; erratum, ibid. 40
(2005), 1126–1127. arXiv
| pdf
| errata
to print version
9. (with C. R. Johnson).
On the Positivity of the Coefficients of a Certain
Polynomial Defined by Two Positive Definite Matrices,
Journal of Statistical Physics, 118
(2005), 781-789. pdf
| ps
8. (with D. L. Rhea). A
Result About the Density of Iterated Line Intersections
in the Plane, Computational Geometry: Theory
and Applications, 33 (2006),
106-114. arXiv
(low res version)
| pdf (high
res version)
7. Appendix to the article "New
Coins From Old: Computing With Unknown Bias,"
by E. Mossel and Y. Peres, Combinatorica,
25 (2005), 707-724. arXiv
| pdf | ps
6. Logarithmic Derivatives of
Solutions to Linear Differential Equations, Proceedings
of the American Mathematical Society, 132
(2004), no. 9, 2693-2701. arXiv
| pdf
| ps
| AMS
(an expanded and more expository version is here).
5. (with C. R. Johnson).
Symmetric word equations in two positive definite
letters, Proceedings of the American Mathematical
Society 132 (2004), no.
4, 945-953. arXiv
| pdf
| ps
4. (with C. R. Johnson, Y. Harel,
J. Groves, P. Rault). Absolutely Flat Idempotents,
Electronic Journal of Linear Algebra, 10
(2003), pp. 190-200. arxiv
| pdf
3. (with C. R. Johnson).
Positive Eigenvalues of Generalized Words in Two
Hermitian Positive Definite Matrices, in: Novel
Approaches to Hard Discrete Optimization
(P. Pardalos and H. Wolkowicz, eds.), Fields
Institute Communications 37,
2003, pp. 111-122. arxiv
| pdf
2. (with C. R. Johnson). Eigenvalues
of Words in Two Positive Definite Letters, SIAM
J. Matrix Anal. Appl., 23
(2002), pp. 916-928. arxiv
| SIAM
| pdf
1. (with C. R. Johnson and I.
M. Spitkovsky). Positive Eigenvalues and Two-letter
Generalized Words, Electronic Journal of Linear
Algebra, 9 (2002), pp. 21-26.
arxiv
| pdf
Other
5. (with T. Windfeldt). Fibonacci
identities and graph colorings, preprint.
pdf | arXiv
4. (with D. Rhea). Automorphisms of finite
abelian groups, American Mathematical Monthly,
114 (2007), no. 10, 917-923.
pdf | arXiv
| Wikipedia
3. Uniqueness of degree 5 symmetric
word equations. pdf
2. Relations between words in
two positive definite letters. pdf | ps
1. University of California,
Berkeley, Ph.D. Thesis, "Solving
polynomial systems with special structure,"
2005. pdf
Chris Hillar
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